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"/images/banner/s5.jpg"; var randomBgIndex = Math.round( Math.random() * 4 ); //输出随机的背景图 document.write('<style>.banner{background:url(' + bodyBgs[randomBgIndex] + ') no-repeat 50% bottom}</style>'); //]]> </script> <section> <div class="banner" style="height:160px;"> </div> </section> <!-- 面包屑导航开始 --> <div class="container "> <nav class="sub_menu"> <ol class="breadcrumb"><span class="glyphicon glyphicon-list"></span> <li><a href="/">网站首页</a></li> <li><a title="技术文章" href="/bethel/NC">技术文章</a></li> <li><a title="数控文章" href="/bethel/news">数控文章</a></li> </ol> </nav> </div> <!--/sub_menu--><!-- 面包屑导航结束 --> <!-- 页面标题开始 --> <div class="title"> <h3><a>基于ANSYS的加工中心立柱结构设计及性能分析<small></small></a></h3> </div> <!-- 页面标题结束 --> <hr class="featurette-divider"> <!-- 中部开始 --> <div class="container"> <!-- 正文 --> <div class="lead" id="print"> <p><span style="font-size: small;"> <span style="background-color: transparent;">〇引言</span></span></p> <div class="Section1"> <p class="460" style="text-align:justify;text-justify:inter-ideograph;text-indent: 23.0pt;background:transparent"> </p> <span style="font-size: small;"> <p class="460" style="text-align:justify;text-justify:inter-ideograph;text-indent: 23.0pt;background:transparent"><span class="46">立柱是加工中心的重要部件之_，其结构的静、动 态特性对机床的整体性能起着举足轻重的作用，其强 度、刚度及稳定性将直接影响到机床的加工精度、加工 效率</span><span class="46MingLiU">、</span><span class="46">抗振性及寿命<sup>[1 ]</sup></span><span class="46MingLiU">。</span><span class="46">通过大量实践探索和实验模 拟，本文以</span><span class="4685pt">4</span><span class="46">种不同立柱内部筋板形式为研究对象，利 用</span><span class="46Georgia"><span lang="EN-US">ANSYS</span></span><span class="46">软件对立柱进行静力学分析和模态分析</span><span class="46MingLiU">， </span><span class="46">研究对比</span><span class="4685pt">4</span><span class="46">种筋板对立柱的静、动态性能的影响，最后通 过数据比照给出了内部筋板的最佳结构形式<sup>[2-3]</sup></span><span class="46MingLiU">。</span></p> </span> <p class="460" style="margin-right:126.0pt;background:transparent"><span style="font-size: small;"><span class="46">1立柱的有限元模型 </span><span class="4685pt"><span lang="EN-US">1.1 </span></span><span class="46">建立三维</span><span class="46Georgia"><span lang="EN-US">CAD</span></span><span class="46">模型</span></span></p> <p class="460" style="text-align:justify;text-justify:inter-ideograph;text-indent: 23.0pt;background:transparent"> </p> <span style="font-size: small;"> <p class="460" style="text-align:justify;text-justify:inter-ideograph;text-indent: 23.0pt;background:transparent"><span class="46">通过</span><span class="46Georgia"><span lang="EN-US">UG</span></span><span class="4685pt"><span lang="EN-US"> </span></span><span class="46Georgia"><span lang="EN-US">NX8</span></span><span class="4685pt"><span lang="EN-US">. </span></span><span class="4685pt">0</span><span class="46">建立的某五轴联动加工中心立 柱模型如图</span><span class="4685pt">1</span><span class="46">所示</span><span class="46MingLiU">。</span><span class="46">模型的外形为方形，长</span><span class="4685pt"><span lang="EN-US">946 </span></span><span class="46Georgia"><span lang="EN-US">mm</span></span><span class="46MingLiU"><span lang="EN-US">， </span></span><span class="46">宽</span><span class="4685pt"><span lang="EN-US">850 </span></span><span class="46Georgia"><span lang="EN-US">mm</span></span><span class="46MingLiU">,</span><span class="46">高</span><span class="4685pt">2 </span><span class="4685pt"><span lang="EN-US">235 </span></span><span class="46Georgia"><span lang="EN-US">mm</span></span><span class="46MingLiU">,</span><span class="46">壁厚</span><span class="4685pt"><span lang="EN-US">15 </span></span><span class="46Georgia"><span lang="EN-US">mm</span></span><span class="46MingLiU"><span lang="EN-US">。</span></span><span class="46">为增加立柱的 刚性</span><span class="46MingLiU1">，</span><span class="46">在立柱内部布满了筋板</span><span class="46MingLiU1">，</span><span class="46">筋板厚度为</span><span class="4685pt"><span lang="EN-US">30</span></span><span class="46Georgia"><span lang="EN-US">mm</span></span><span class="46MingLiU1"><span lang="EN-US">，</span></span><span class="4685pt"><span lang="EN-US">4 </span></span><span class="46">种不同形式的筋板结构如图</span><span class="46Georgia">2</span><span class="46">所示</span><span class="46MingLiU">。</span><span class="46">立柱内部筋板排 列不一样，会造成其性能存在一定的偏差，重量、制造 成本及铸造难度也不一样</span><span class="46MingLiU">。</span><span class="46">对此设计人员应综合考虑 各种情况，确定实际可行并且有利于运输及成本最低 的结构方案</span><span class="46MingLiU">。</span></p> </span> <p class="460" style="background:transparent"><span style="font-size: small;"><span class="46Georgia"><span lang="EN-US">1.2</span></span><span class="46">模型的简化</span></span></p> <p class="460" style="text-align:justify;text-justify:inter-ideograph;text-indent: 23.0pt;background:transparent"><span style="font-size: small;"><span class="46">本文对立柱进行静力和模态分析，以得到其刚度</span><span class="46MingLiU">、 </span><span class="46">强度和固有频率的变化趋势</span><span class="46MingLiU">。</span><span class="46">有限元模型的好坏将直 接影响到分析结果的准确度和计算效率，由于立柱是 _个铸造件，具有结构复杂、体积庞大的特点，要对它 建立精确的有限元模型是很不容易的，因此为减少计 算的工作量，应对立柱模型进行必要的简化</span><span class="46MingLiU">。</span><span class="46">根据圣<br clear="all" /> 维南原理，对模型中的倒角、退刀槽、凸台、螺纹孔等进 行删除或简化<sup>[4]</sup>，其目的是为了避免在位置狭小的局 部生成大量的网格单元，防止计算量过大和解算时间 过长，以影响分析结果的准确性和拖慢有限元分析的 效率。</span><br /> </span></p> <span style="font-size: small;"> <!--[if !supportTextWrap]--> <!--[endif]--> <!--[if !supportTextWrap]--> <!--[endif]--> </span> <p class="460" style="text-align:justify;text-justify:inter-ideograph;line-height: 14.9pt;mso-line-height-rule:exactly;background:transparent"><span style="font-size: small;"><span class="4685pt"><span lang="EN-US">1.3</span></span><span class="46">材料定义与网格划分</span></span></p> <p class="460" style="text-align:justify;text-justify:inter-ideograph;text-indent: 23.0pt;line-height:14.9pt;mso-line-height-rule:exactly;background:transparent"><span style="font-size: small;"><span class="46">给模型赋予材料属性是有限元分析的第_个步 骤。不同的部件其材料不一样，承受载荷大小也不_ 样，故材料属性就不一样。因灰铸铁</span><span class="46Georgia"><span lang="EN-US">HT</span></span><span class="4685pt"><span lang="EN-US">250</span></span><span class="46">各向同 性、金相组织分布均匀、抗拉强度高，因此很适合作为 加工中心立柱的材料使用。灰铸铁</span><span class="46Georgia"><span lang="EN-US">HT</span></span><span class="4685pt"><span lang="EN-US">250</span></span><span class="46">的弹性模 量为</span><span class="4685pt"><span lang="EN-US">1. 1</span></span><span class="46Georgia"><span lang="EN-US">X</span></span><span class="4685pt"><span lang="EN-US">10</span></span><span class="46Georgia"><sup><span lang="EN-US">u</span></sup></span><span class="46Georgia"><span lang="EN-US">Pa</span></span><span class="467pt"><span lang="EN-US" style="font-family: 宋体;">，</span></span><span class="46">泊松比为</span><span class="4685pt"><span lang="EN-US">0. </span></span><span class="4685pt">28</span><span class="46Garamond">,</span><span class="46">密度为</span><span class="4685pt"><span lang="EN-US">7 200 </span></span><span class="46Georgia"><span lang="EN-US">kg</span></span><span class="4685pt"><span lang="EN-US">/</span></span><span class="2Georgia1" style="line-height: 15.1pt; text-indent: 0cm; background-color: transparent;"><span lang="EN-US">m<sup>3</sup></span></span><span class="2" style="line-height: 15.1pt; text-indent: 0cm; background-color: transparent;"><span lang="EN-US">。</span></span><span class="2" style="line-height: 15.1pt; text-indent: 0cm; background-color: transparent;">立柱的整体构造比较复杂，利用自适应网格划分 方法对其进行网格划分<sup>[</sup></span><span class="2Georgia1" style="line-height: 15.1pt; text-indent: 0cm; background-color: transparent;"><sup>5</sup></span><span class="2" style="line-height: 15.1pt; text-indent: 0cm; background-color: transparent;"><sup>]</sup></span><span class="2" style="line-height: 15.1pt; text-indent: 0cm; background-color: transparent;">，如图3所示。4种立柱结构 有限元模型的节点总数和单元总数见表</span><span class="2Georgia1" style="line-height: 15.1pt; text-indent: 0cm; background-color: transparent;">1</span><span class="2" style="line-height: 15.1pt; text-indent: 0cm; background-color: transparent;">。</span></span></p> <p class="7" style="margin-top:0cm;text-align:justify;text-justify:distribute-all-lines; line-height:9.0pt;mso-line-height-rule:exactly;tab-stops:24.25pt;background: transparent"><span style="font-size: small;"><span class="7Exact">表</span><span class="7Garamond">1 4</span><span class="7Exact">种立柱筋板形式有限元模型节点总数和单元总数</span></span></p> <div align="center"> <table class="MsoNormalTable" border="0" cellspacing="0" cellpadding="0" style="border-collapse:collapse;mso-table-layout-alt:fixed;mso-padding-alt: 0cm 0cm 0cm 0cm"> <tbody> <tr style="mso-yfti-irow:0;mso-yfti-firstrow:yes;height:12.0pt;mso-height-rule: exactly"> <td width="95" valign="top" style="width: 71.5pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:7.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:7.0pt;mso-line-height-rule:exactly;background:transparent"><span class="27pt">筋板形式</span></p> </span></td> <td width="95" valign="top" style="width: 71.5pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:7.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:7.0pt;mso-line-height-rule:exactly;background:transparent"><span class="27pt">节点总数</span></p> </span></td> <td width="96" valign="top" style="width: 72pt; border-style: solid solid none; border-top-color: windowtext; border-right-color: windowtext; border-left-color: windowtext; border-top-width: 1pt; border-right-width: 1pt; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:7.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:7.0pt;mso-line-height-rule:exactly;background:transparent"><span class="27pt">单元总数</span></p> </span></td> </tr> <tr style="mso-yfti-irow:1;height:12.0pt;mso-height-rule:exactly"> <td width="95" valign="top" style="width: 71.5pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond"><span lang="EN-US">A</span></span></p> </span></td> <td width="95" valign="top" style="width: 71.5pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond"><span lang="EN-US">54 055</span></span></p> </span></td> <td width="96" valign="top" style="width: 72pt; border-style: solid solid none; border-top-color: windowtext; border-right-color: windowtext; border-left-color: windowtext; border-top-width: 1pt; border-right-width: 1pt; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond">29 191</span></p> </span></td> </tr> <tr style="mso-yfti-irow:2;height:12.0pt;mso-height-rule:exactly"> <td width="95" valign="top" style="width: 71.5pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond"><span lang="EN-US">B</span></span></p> </span></td> <td width="95" valign="top" style="width: 71.5pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond"><span lang="EN-US">47 569</span></span></p> </span></td> <td width="96" valign="top" style="width: 72pt; border-style: solid solid none; border-top-color: windowtext; border-right-color: windowtext; border-left-color: windowtext; border-top-width: 1pt; border-right-width: 1pt; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond">25 602</span></p> </span></td> </tr> <tr style="mso-yfti-irow:3;height:11.75pt;mso-height-rule:exactly"> <td width="95" valign="top" style="width: 71.5pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 11.75pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond"><span lang="EN-US">C</span></span></p> </span></td> <td width="95" valign="top" style="width: 71.5pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 11.75pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond"><span lang="EN-US">56 581</span></span></p> </span></td> <td width="96" valign="top" style="width: 72pt; border-style: solid solid none; border-top-color: windowtext; border-right-color: windowtext; border-left-color: windowtext; border-top-width: 1pt; border-right-width: 1pt; border-left-width: 1pt; padding: 0cm; height: 11.75pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond">32 124</span></p> </span></td> </tr> <tr style="mso-yfti-irow:4;mso-yfti-lastrow:yes;height:12.25pt;mso-height-rule: exactly"> <td width="95" valign="top" style="width: 71.5pt; border-style: solid none solid solid; border-top-color: windowtext; border-bottom-color: windowtext; border-left-color: windowtext; border-top-width: 1pt; border-bottom-width: 1pt; border-left-width: 1pt; padding: 0cm; height: 12.25pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond"><span lang="EN-US">D</span></span></p> </span></td> <td width="95" valign="top" style="width: 71.5pt; border-style: solid none solid solid; border-top-color: windowtext; border-bottom-color: windowtext; border-left-color: windowtext; border-top-width: 1pt; border-bottom-width: 1pt; border-left-width: 1pt; padding: 0cm; height: 12.25pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond"><span lang="EN-US">45 796</span></span></p> </span></td> <td width="96" valign="top" style="width: 72pt; border: 1pt solid windowtext; padding: 0cm; height: 12.25pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond">23 055</span></p> </span></td> </tr> </tbody> </table> </div> <p class="460" style="text-align:justify;text-justify:inter-ideograph;text-indent: 23.0pt;line-height:14.9pt;mso-line-height-rule:exactly;background:transparent"><span style="font-size: small;"> </span></p> <p class="a" style="line-height:8.5pt;mso-line-height-rule:exactly;background: transparent"><span style="font-size: small;"><span class="Exact"><span style="font-family: SimSun;">1.4</span></span><span class="Exact">施加载荷及约束</span></span></p> </div> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-align:justify; text-justify:inter-ideograph;text-indent:23.0pt;line-height:15.1pt;mso-line-height-rule: exactly;background:transparent"><span style="font-size: small;"><span class="2">立柱底部安装滑块与床身上的导轨接触，因此对 立柱与床身接触部位施加固定约束，固定住其</span><span class="2Georgia1">6</span><span class="2">个自 由度。工作时立柱承受复杂的空间载荷，主要包括其 自重、主轴箱、拖板及铣头等配置的重量以及切削力对 立柱的作用，将立柱所受的各载荷转换成集中载荷施 加在立柱上表面。</span></span></p> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-align:justify; text-justify:inter-ideograph;text-indent:0cm;line-height:15.1pt;mso-line-height-rule: exactly;background:transparent"><span style="font-size: small;"><span class="2Georgia1">2</span><span class="2">静力结构分析</span></span></p> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-align:justify; text-justify:inter-ideograph;text-indent:23.0pt;line-height:15.1pt;mso-line-height-rule: exactly;background:transparent"><span style="font-size: small;"><span class="2">静力结构分析是指对其强度和刚度的分析，即对 应力和位移变形的分析。通过静力结构分析，设计人 员可以根据立柱在受力过程中的变形趋势，为立柱的 后续优化设计提供重要理论依据<sup>[6]</sup>。</span></span></p> <p><span style="font-size: small;"><span class="2">立柱静刚度是衡量机床整体性能好坏的一个重要 指标，它因立柱的材料、尺寸大小、筋板的布置形式等 因素而不同。为使加工中心在加工零件时因切削力而 引起的机床变形以及因立柱的抗振性而引起的刀具变 形达到最小值，就要求立柱的静态刚度足够高</span><span class="2"><sup><span style="font-family: SimSun;">m</span></sup></span><span class="2">。通 过静态分析得出的4种立柱筋板结构的位移量、合应 力及质量对比如表</span><span class="2Georgia1"><span lang="EN-US">2</span></span><span class="2">所示。</span></span></p> <p class="7" style="margin-top:0cm;text-align:justify;text-justify:distribute-all-lines; line-height:9.0pt;mso-line-height-rule:exactly;tab-stops:24.25pt;background: transparent"><span style="font-size: small;"><span class="7Exact">表</span><span class="7Garamond">2 4</span><span class="7Exact">种立柱筋板结构位移量、合应力及质量对比</span></span></p> <div align="center"> <table class="MsoNormalTable" border="0" cellspacing="0" cellpadding="0" style="border-collapse:collapse;mso-table-layout-alt:fixed;mso-padding-alt: 0cm 0cm 0cm 0cm"> <tbody> <tr style="mso-yfti-irow:0;mso-yfti-firstrow:yes;height:12.0pt;mso-height-rule: exactly"> <td width="64" valign="bottom" style="width: 47.75pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 7pt; background: transparent;"> </p> <span style="font-size: small;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 7pt; background: transparent;"><span class="27pt">筋板形式</span></p> </span></td> <td width="95" valign="bottom" style="width: 71.5pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="27pt">位移量</span><span class="27pt"><span lang="EN-US">（</span></span><span class="2Garamond"><span lang="EN-US">pm)</span></span></p> </span></td> <td width="85" valign="bottom" style="width: 63.85pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"> </p> <span style="font-size: small;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"><span class="27pt">合应力</span><span class="27pt"><span lang="EN-US">（</span></span><span class="2Garamond"><span lang="EN-US">MPa)</span></span></p> </span></td> <td width="77" valign="bottom" style="width: 58.1pt; border-style: solid solid none; border-top-color: windowtext; border-right-color: windowtext; border-left-color: windowtext; border-top-width: 1pt; border-right-width: 1pt; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="27pt">质量</span><span class="27pt"><span lang="EN-US">（</span></span><span class="2Garamond"><span lang="EN-US">kg)</span></span></p> </span></td> </tr> <tr style="mso-yfti-irow:1;height:11.75pt;mso-height-rule:exactly"> <td width="64" valign="top" style="width: 47.75pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 11.75pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond"><span lang="EN-US">A</span></span></p> </span></td> <td width="95" valign="top" style="width: 71.5pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 11.75pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond"><span lang="EN-US">10. </span></span><span class="2Garamond">036</span></p> </span></td> <td width="85" valign="top" style="width: 63.85pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 11.75pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond"><span lang="EN-US">1. </span></span><span class="2Garamond">116 7</span></p> </span></td> <td width="77" valign="top" style="width: 58.1pt; border-style: solid solid none; border-top-color: windowtext; border-right-color: windowtext; border-left-color: windowtext; border-top-width: 1pt; border-right-width: 1pt; border-left-width: 1pt; padding: 0cm; height: 11.75pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond">2 </span><span class="2Garamond"><span lang="EN-US">137.</span></span><span class="2Garamond">4</span></p> </span></td> </tr> <tr style="mso-yfti-irow:2;height:12.0pt;mso-height-rule:exactly"> <td width="64" valign="top" style="width: 47.75pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond"><span lang="EN-US">B</span></span></p> </span></td> <td width="95" valign="top" style="width: 71.5pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond"><span lang="EN-US">11. </span></span><span class="2Garamond">235</span></p> </span></td> <td width="85" valign="top" style="width: 63.85pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond"><span lang="EN-US">1. </span></span><span class="2Garamond">214</span></p> </span></td> <td width="77" valign="top" style="width: 58.1pt; border-style: solid solid none; border-top-color: windowtext; border-right-color: windowtext; border-left-color: windowtext; border-top-width: 1pt; border-right-width: 1pt; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond">1 </span><span class="2Garamond"><span lang="EN-US">962.</span></span><span class="2Garamond">7</span></p> </span></td> </tr> <tr style="mso-yfti-irow:3;height:12.0pt;mso-height-rule:exactly"> <td width="64" valign="top" style="width: 47.75pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond"><span lang="EN-US">C</span></span></p> </span></td> <td width="95" valign="top" style="width: 71.5pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond"><span lang="EN-US">18. </span></span><span class="2Garamond">258</span></p> </span></td> <td width="85" valign="top" style="width: 63.85pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond"><span lang="EN-US">2. </span></span><span class="2Garamond">566</span></p> </span></td> <td width="77" valign="top" style="width: 58.1pt; border-style: solid solid none; border-top-color: windowtext; border-right-color: windowtext; border-left-color: windowtext; border-top-width: 1pt; border-right-width: 1pt; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond">2 </span><span class="2Garamond"><span lang="EN-US">544. </span></span><span class="2Garamond">9</span></p> </span></td> </tr> <tr style="mso-yfti-irow:4;mso-yfti-lastrow:yes;height:12.0pt;mso-height-rule: exactly"> <td width="64" valign="top" style="width: 47.75pt; border-style: solid none solid solid; border-top-color: windowtext; border-bottom-color: windowtext; border-left-color: windowtext; border-top-width: 1pt; border-bottom-width: 1pt; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond"><span lang="EN-US">D</span></span></p> </span></td> <td width="95" valign="top" style="width: 71.5pt; border-style: solid none solid solid; border-top-color: windowtext; border-bottom-color: windowtext; border-left-color: windowtext; border-top-width: 1pt; border-bottom-width: 1pt; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond"><span lang="EN-US">15.</span></span><span class="2Garamond">154</span></p> </span></td> <td width="85" valign="top" style="width: 63.85pt; border-style: solid none solid solid; border-top-color: windowtext; border-bottom-color: windowtext; border-left-color: windowtext; border-top-width: 1pt; border-bottom-width: 1pt; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond"><span lang="EN-US">1. </span></span><span class="2Garamond">657</span></p> </span></td> <td width="77" valign="top" style="width: 58.1pt; border: 1pt solid windowtext; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond">2 391 8</span></p> </span></td> </tr> </tbody> </table> </div> <p><span style="font-size: small;"> <span class="Exact">单从静态分析所表现出的数据上可以看出蜂窝形 的筋板形式（结构</span><span class="Georgia"><span lang="EN-US">A</span></span><span class="Exact"><span style="font-family: SimSun;">)</span></span><span class="Exact">是这4种结构中最好的：其最大 位移量只有</span><span class="Exact"><span style="font-family: SimSun;">10.036 ^</span></span><span class="Georgia"><span lang="EN-US">m</span></span><span class="Exact"><span lang="EN-US">，</span></span><span class="Exact">主要发生在立柱顶部区域，其 最大应力为</span><span class="Exact"><span style="font-family: SimSun;">1. </span></span><span class="Exact">116 7 </span><span class="Georgia"><span lang="EN-US">MPa</span></span><span class="Exact"><span lang="EN-US">，</span></span><span class="Exact">主要发生在导轨顶部区域， 这些区域较其他区域容易</span><span class="2" style="line-height: 15.1pt; text-align: justify; text-indent: 23pt; background-color: transparent;">铁的许用应力240 </span><span class="2Georgia1" style="line-height: 15.1pt; text-align: justify; text-indent: 23pt; background-color: transparent;"><span lang="EN-US">MPa</span></span><span class="2" style="line-height: 15.1pt; text-align: justify; text-indent: 23pt; background-color: transparent;"><span lang="EN-US">。</span></span><span class="2" style="line-height: 15.1pt; text-align: justify; text-indent: 23pt; background-color: transparent;">具有蜂窝形筋析的立柱的位 移云图和应力云图如图4、图5所示。</span><br /> </span></p> <p><span style="font-size: small;"> <!--[if !supportTextWrap]--> <!--[endif]--> <!--[if !supportTextWrap]--> <!--[endif]--> </span></p> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-align:justify; text-justify:inter-ideograph;text-indent:0cm;line-height:15.1pt;mso-line-height-rule: exactly;background:transparent"><span style="font-size: small;"><span class="23pt">3模态分析</span></span></p> <p><span style="font-size: small;"><span class="2">通过模态分析能够知道结构的固有频率及振型， 这可以对结构提供优化指导以便提高加工质量和效 率。_般来说，固有频率有无限多个模态，但真正有实 际意义的只有低阶模态，而高阶模态在振动中起的作 用很小<sup>[8]</sup>。在对立柱进行模态分析之前要对模型进行 网格划分，划分方法与静态结构分析是_样的。不加 载荷时4种筋板结构的立柱在自由状态下的前</span><span class="2Georgia1"><span lang="EN-US">6</span></span><span class="2">阶频 率及振型见表3。对比发现：具有蜂窝形筋板的立柱 的动态性能最好，其1阶频率只有</span><span class="2"><span style="font-family: SimSun;">36. </span></span><span class="2">309 </span><span class="2Georgia1"><span lang="EN-US">Hz</span></span><span class="2"><span lang="EN-US">，</span></span><span class="2">是4种 筋板结构中</span><span class="2Georgia1"><span lang="EN-US">1</span></span><span class="2">阶频率最小的，说明蜂窝型筋板结构最 适合此立柱结构设计。具有蜂窝形筋析的立柱的前</span><span class="2Georgia1"><span lang="EN-US">6 </span></span><span class="2">阶振型图如图</span><span class="2Georgia1"><span lang="EN-US">6</span></span><span class="2">所示。</span></span></p> <p class="7" style="margin-top:0cm;text-align:justify;text-justify:distribute-all-lines; line-height:9.0pt;mso-line-height-rule:exactly;tab-stops:185.75pt;background: transparent"><span style="font-size: small;"><span class="7Exact">表</span><span class="7Garamond">3 4</span><span class="7Exact">种立柱结构的前</span><span class="7Garamond">6</span><span class="7Exact">阶频率及振型</span><span class="7Garamond"> </span><span class="7Garamond">Hz</span></span></p> <p><span style="font-size: small;"> </span></p> <div align="center"> <table class="MsoNormalTable" border="0" cellspacing="0" cellpadding="0" style="border-collapse:collapse;mso-table-layout-alt:fixed;mso-padding-alt: 0cm 0cm 0cm 0cm"> <tbody> <tr style="mso-yfti-irow:0;mso-yfti-firstrow:yes;height:11.75pt;mso-height-rule: exactly"> <td width="32" rowspan="2" style="width: 23.75pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 11.75pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt; text-indent: 0cm; line-height: 7pt; background: transparent;"> </p> <span style="font-size: small;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt; text-indent: 0cm; line-height: 7pt; background: transparent;"><span class="27pt">阶数</span></p> </span></td> <td width="212" colspan="4" valign="top" style="width: 159.15pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 11.75pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:7.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:7.0pt;mso-line-height-rule:exactly;background:transparent"><span class="27pt">筋板形式</span></p> </span></td> <td width="78" rowspan="2" style="width: 58.3pt; border-style: solid solid none; border-top-color: windowtext; border-right-color: windowtext; border-left-color: windowtext; border-top-width: 1pt; border-right-width: 1pt; border-left-width: 1pt; padding: 0cm; height: 11.75pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:7.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:7.0pt;mso-line-height-rule:exactly;background:transparent"><span class="27pt">振型描述</span></p> </span></td> </tr> <tr style="mso-yfti-irow:1;height:12.0pt;mso-height-rule:exactly"> <td width="53" valign="top" style="width: 39.85pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"> </p> <span style="font-size: small;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"><span class="27pt">结构</span><span class="2Garamond"><span lang="EN-US">A</span></span></p> </span></td> <td width="53" valign="top" style="width: 39.85pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"> </p> <span style="font-size: small;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"><span class="27pt">结构</span><span class="2Garamond"><span lang="EN-US">B</span></span></p> </span></td> <td width="53" valign="top" style="width: 39.85pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"> </p> <span style="font-size: small;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"><span class="27pt">结构</span><span class="2Garamond"><span lang="EN-US">C</span></span></p> </span></td> <td width="53" valign="top" style="width: 39.6pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"> </p> <span style="font-size: small;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"><span class="27pt">结构</span><span class="2Garamond"><span lang="EN-US">D</span></span></p> </span></td> </tr> <tr style="mso-yfti-irow:2;height:12.0pt;mso-height-rule:exactly"> <td width="32" style="width: 23.75pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond">1</span></p> </span></td> <td width="53" style="width: 39.85pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"> </p> <span style="font-size: small;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"><span class="2Garamond"><span lang="EN-US">36. </span></span><span class="2Garamond">309</span></p> </span></td> <td width="53" style="width: 39.85pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"> </p> <span style="font-size: small;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"><span class="2Garamond"><span lang="EN-US">85.</span></span><span class="2Garamond">267</span></p> </span></td> <td width="53" style="width: 39.85pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"> </p> <span style="font-size: small;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"><span class="2Garamond"><span lang="EN-US">52.</span></span><span class="2Garamond">312</span></p> </span></td> <td width="53" style="width: 39.6pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"> </p> <span style="font-size: small;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"><span class="2Garamond"><span lang="EN-US">75.</span></span><span class="2Garamond">243</span></p> </span></td> <td width="78" style="width: 58.3pt; border-style: solid solid none; border-top-color: windowtext; border-right-color: windowtext; border-left-color: windowtext; border-top-width: 1pt; border-right-width: 1pt; border-left-width: 1pt; padding: 0cm; height: 12pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"> </p> <span style="font-size: small;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"><span class="27pt">绕</span><span class="2Garamond"><span lang="EN-US">Z</span></span><span class="27pt">轴扭弯</span></p> </span></td> </tr> <tr style="mso-yfti-irow:3;mso-yfti-lastrow:yes;height:11.75pt;mso-height-rule: exactly"> <td width="32" style="width: 23.75pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 11.75pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"> </p> <span style="font-size: small;"> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-indent:0cm; line-height:8.0pt;mso-line-height-rule:exactly;background:transparent"><span class="2Garamond">2</span></p> </span></td> <td width="53" valign="top" style="width: 39.85pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 11.75pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"> </p> <span style="font-size: small;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"><span class="2Garamond"><span lang="EN-US">107.</span></span><span class="2Garamond">85</span></p> </span></td> <td width="53" valign="top" style="width: 39.85pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 11.75pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"> </p> <span style="font-size: small;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"><span class="2Garamond"><span lang="EN-US">149. </span></span><span class="2Garamond">32</span></p> </span></td> <td width="53" valign="top" style="width: 39.85pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 11.75pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"> </p> <span style="font-size: small;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"><span class="2Garamond"><span lang="EN-US">109. </span></span><span class="2Garamond">25</span></p> </span></td> <td width="53" valign="top" style="width: 39.6pt; border-style: solid none none solid; border-top-color: windowtext; border-top-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; padding: 0cm; height: 11.75pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"> </p> <span style="font-size: small;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"><span class="2Garamond"><span lang="EN-US">124. </span></span><span class="2Garamond">35</span></p> </span></td> <td width="78" valign="top" style="width: 58.3pt; border-style: solid solid none; border-top-color: windowtext; border-right-color: windowtext; border-left-color: windowtext; border-top-width: 1pt; border-right-width: 1pt; border-left-width: 1pt; padding: 0cm; height: 11.75pt; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"> </p> <span style="font-size: small;"> <p class="20" align="left" style="margin: 0cm 0cm 0.0001pt 9pt; text-indent: 0cm; line-height: 8pt; background: transparent;"><span class="27pt">绕</span><span class="2Garamond"><span lang="EN-US">Y</span></span><span class="27pt">轴扭弯</span></p> </span></td> </tr> </tbody> </table> <p><span style="font-size: small;"><br type="_moz" /> </span></p> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-align:justify; text-justify:inter-ideograph;text-indent:23.0pt;line-height:15.1pt;mso-line-height-rule: exactly;mso-list:l0 level1 lfo1;tab-stops:40.3pt;background:transparent"><span style="font-size: small;"><!--[if !supportLists]--><span style="font-family: SimSun;">(1)<span style="font-stretch: normal; line-height: normal; font-family: 'Times New Roman';"> </span></span><!--[endif]--><span class="2Exact">应用</span><span class="2Georgia"><span lang="EN-US">ANSYS</span></span><span class="2Exact"><span lang="EN-US" style="font-family: SimSun;"> </span></span><span class="2Georgia"><span lang="EN-US">Workbench</span></span><span class="2Exact">对具有4种不同形 状筋板的立柱结构进行静态分析和模态分析，得到其 相对应的位移、应力以及前</span><span class="2Georgia">6</span><span class="2Exact">阶固有频率。</span></span></p> <p style="text-align: left;"> </p> <p class="20" style="margin:0cm;margin-bottom:.0001pt;text-align:justify; text-justify:inter-ideograph;text-indent:23.0pt;line-height:15.1pt;mso-line-height-rule: exactly;mso-list:l0 level1 lfo1;tab-stops:40.3pt;background:transparent"><span style="font-size: small;"><!--[if !supportLists]--><span style="font-family: SimSun;">(2)<span style="font-stretch: normal; line-height: normal; font-family: 'Times New Roman';"> </span></span><!--[endif]--><span class="2Exact">立柱的最大位移主要发生在其顶部区域；最 大应力主要发生在导轨顶部区域，4种立柱的最大应 力都远小于灰铸铁抗拉强度240 </span><span class="2Georgia"><span lang="EN-US">MPa</span></span><span class="2Exact"><span lang="EN-US">，</span></span><span class="2Exact">设计完全满足</span><span style="line-height: 15.1pt; text-align: left; text-indent: 0cm; background-color: transparent;">要求。</span></span></p> <p class="20" align="left" style="margin:0cm;margin-bottom:.0001pt;text-align:left; text-indent:23.0pt;line-height:15.1pt;mso-line-height-rule:exactly;mso-list: l0 level1 lfo1;tab-stops:43.85pt;background:transparent"><span style="font-size: small;"><!--[if !supportLists]--><span style="font-family: SimSun;">(3)<span style="font-stretch: normal; line-height: normal; font-family: 'Times New Roman';"> </span></span><!--[endif]--><span class="2Georgia1"><span lang="EN-US">A</span></span><span class="2">结构的刚度最好，</span><span class="2Georgia1"><span lang="EN-US">B</span></span><span class="2">结构其次；</span><span class="2Georgia1"><span lang="EN-US">A</span></span><span class="2">结构的低 阶模态频率最低，</span><span class="2Georgia1"><span lang="EN-US">C</span></span><span class="2">结构其次。</span></span></p> <p style="text-align: left;"><span style="font-size: small;"><span class="2"><span style="line-height: 15.1pt; text-align: justify; text-indent: 0cm; font-family: SimSun; background-color: transparent;"> (4)<span style="font-stretch: normal; line-height: normal; font-family: 'Times New Roman';"> </span></span><span class="2" style="line-height: 15.1pt; text-align: justify; text-indent: 0cm; background-color: transparent;">综合考虑立柱筋板的铸造成本、复杂程度以</span>综合考虑立柱筋板的铸造成本、复杂程度以</span><!--EndFragment--> =2>所示。</span></p> <p style="text-align: left;"> </p> <p style="text-align: left;"><span style="font-size:9.0pt;font-family:宋体;mso-ascii-font-family: "Times New Roman";mso-hansi-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman";mso-font-kerning:1.0pt;mso-ansi-language:EN-US;mso-fareast-language: ZH-CN;mso-bidi-language:AR-SA">本文由伯特利数控整理发表文章均来自网络仅供学习参考，转载请注明！</span></p> </div></div> <div class="blank30"></div> <!-- tag --> <div class="blank10"></div> 标签： <a href='/index.php?case=tag&act=show&tag=%E5%8A%A0%E5%B7%A5%E4%B8%AD%E5%BF%83' target='_blank'>加工中心</a> <a href='/index.php?case=tag&act=show&tag=CNC%E5%8A%A0%E5%B7%A5%E4%B8%AD%E5%BF%83' target='_blank'>CNC加工中心</a> <a href='/index.php?case=tag&act=show&tag=%E6%95%B0%E6%8E%A7%E5%8A%A0%E5%B7%A5%E4%B8%AD%E5%BF%83' target='_blank'>数控加工中心</a> <a href='/index.php?case=tag&act=show&tag=%E7%AB%8B%E6%9F%B1' target='_blank'>立柱</a> <!-- 分类 --> <div class="blank10"></div> 分类： <a href='/bethel/type/jnc/type-1.html' target='_blank'>加工中心</a> <div class="blank30"></div> <!--自动调用自定义字段--> <div class="blank20"></div> <div class="blank30"></div> <!-- 投票 --> <script 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0px no-repeat; background-color:#FF69B4; text-decoration:none; display:block;} .izl-rmenu .btn-web{background:url(/template/CmsEasy_V_408/skin/images/servers/metro_color/r_web.png) 0px 0px no-repeat; background-color:#008a46;} .izl-rmenu .btn-web:hover{background-color:#00663a;} .izl-rmenu a.btn-web,.izl-rmenu a.btn-web:visited{background:url(/template/CmsEasy_V_408/skin/images/servers/metro_color/r_web.png) 0px 0px no-repeat; background-color:#008a46; text-decoration:none; display:block;} .izl-rmenu .btn-top{background:url(/template/CmsEasy_V_408/skin/images/servers/metro_color/r_top.png) 0px 0px no-repeat; background-color:#666666; display:none;} .izl-rmenu .btn-top:hover{background-color:#444;} </style> <script language="javascript" type="text/javascript"> $(function(){ var tophtml="<div id=\"izl_rmenu\" class=\"izl-rmenu\"><div class=\"sbtn btn-qq\"><div class=\"qq\"><a rel=\"nofollow\" target=\"_blank\" 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