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10.5pt;">4.4</span><span style="line-height: 14pt; text-indent: 0pt; font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">滚珠丝杠强度、刚度的校核</span></p> <div class="Section0"> <table cellpadding="0" cellspacing="0"> <tbody> <tr> <td width="103.333" height="0"> </td> </tr> <tr> <td><br /> </td> <td><span style="font-family: 宋体; font-size: 10.5pt; letter-spacing: 0pt; line-height: 11pt; text-align: justify; text-indent: 23pt;">1、滚珠丝杠强度的校核，实心滚珠丝杠</span></td> </tr> </tbody> </table> <table cellpadding="0" cellspacing="0"> <tbody> <tr> <td width="103.333" height="0"> </td> </tr> <tr> <td> </td> <td><span style="font-family: 宋体; font-size: 10.5pt; letter-spacing: 0pt; line-height: 11pt; text-indent: 0pt;">空心滚珠丝杠</span></td> </tr> </tbody> </table> <p class="NewStyle45" style="margin-top:0.0000pt; margin-right:0.0000pt; margin-bottom:0.0000pt; margin-left:0.0000pt; text-indent:23.0000pt; mso-pagination:none; text-align:justify; text-justify:inter-ideograph; "><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">式中，^为丝杠的应力</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">，'</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">为丝杠的进给力，</span><span class="19" style="font-family: 'Times New Roman'; letter-spacing: 0pt; font-size: 10.5pt;">io</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">^, 4</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">为截面面积，</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">[</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt; vertical-align: super;">CT</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">]</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">为丝杠 的许用应力，</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">113</span><span class="19" style="font-family: 'Times New Roman'; letter-spacing: 0pt; font-size: 10.5pt;">MP</span><span class="19" style="font-family: 'Times New Roman'; letter-spacing: 0pt; font-size: 10.5pt; vertical-align: sub;">a</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">,</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">故无论空心/实心滚珠丝杠，其强度均远小于许用强度。</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;"><o:p></o:p></span></p> <span style="font-family: 宋体; font-size: 10.5pt; letter-spacing: 0pt; text-align: justify; text-indent: 23pt;"><br /> 2、由于丝杠在切削时受到很大的横向进给力，如果采用空心滚珠丝杠，其轴向 变形量可能很大；如果远远的大于采用空心滚珠丝杠补偿的热变形量，则开孔的大小 不能满足轴向刚度要求。实心丝杠、空心滚珠丝杠的拉伸变形量分别为</span><br /> <p class="NewStyle45" style="margin-top:0.0000pt; margin-right:0.0000pt; margin-bottom:0.0000pt; margin-left:0.0000pt; text-indent:23.0000pt; mso-pagination:none; text-align:justify; text-justify:inter-ideograph; "><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;"><o:p></o:p></span></p> <p class="NewStyle45" style="margin: 0pt; text-indent: 23pt; line-height: 22.1pt;"><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">与实心滚珠丝杠的热变形量</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">（0.6</span><span class="19" style="font-family: 'Times New Roman'; letter-spacing: 0pt; font-size: 10.5pt;">mm</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">—</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">5.3</span><span class="19" style="font-family: 'Times New Roman'; letter-spacing: 0pt; font-size: 10.5pt;">mm</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">)</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">相比，其变形量可以忽略不计。 从空心丝杠的角度看，空心丝杠补偿后的热变形量在</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">0.06</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">左右，而进给力引起的变 形量在</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">0.04</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">左右，说明如果继续进一步提高丝杠的定位精度，拉伸变形量也是一个 不可忽视的问题，需要同热变形综合考虑。</span></p> <span style="font-family: 宋体; font-size: 10.5pt; letter-spacing: 0pt; line-height: 22.1pt; text-indent: 0pt;">3、考虑到空心丝杠可能影响到扭转刚度，故需要校核扭转刚度 实心丝杠的扭转角</span><br /> <p class="NewStyle45" style="margin-top:28.8500pt; margin-right:0.0000pt; margin-bottom:0.0000pt; margin-left:0.0000pt; text-indent:23.0000pt; mso-pagination:none; text-align:justify; text-justify:inter-ideograph; "><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">由此可见，空心丝杠的扭转角相比于实心滚珠丝杠的扭转角变化不大，空心丝杠 对扭转刚度的影响不大，可以忽略。</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;"><o:p></o:p></span></p> <p class="NewStyle45" style="margin-top:0.0000pt; margin-right:0.0000pt; margin-bottom:0.0000pt; margin-left:0.0000pt; text-indent:23.0000pt; mso-pagination:none; text-align:justify; text-justify:inter-ideograph; "><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">从上面的校核可知，空性丝杠在强度、刚度等方面与实心滚珠丝杠很接近，这主 要是因为开孔在丝杠的中心处，对扭转刚度的影响不大；而对于强度由于开孔的面积 很小，故对滚珠丝杠的强度的影响也很小。</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;"><o:p></o:p></span></p> <p class="NewStyle45" style="margin-top:0.0000pt; margin-right:0.0000pt; margin-bottom:0.0000pt; margin-left:0.0000pt; text-indent:23.0000pt; mso-pagination:none; text-align:justify; text-justify:inter-ideograph; "><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">然而在滚珠的转速加快时,反复的冲击力会使滚珠丝杠的滚珠循环系统结构减弱， 往往造成循环系统中导珠器因冲击疲劳而容易断裂。</span></p> </div> <p><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;"><br clear="all" style="page-break-before:always;mso-break-type:section-break" /> </span></p> <p class="NewStyle44" style="margin: 0pt 0pt 8.55pt; text-indent: 0pt; page-break-after: avoid; line-height: 14pt;"><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">4.5</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">本章小结</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;"><o:p></o:p></span></p> <p class="NewStyle45" style="margin-top:0.0000pt; margin-right:0.0000pt; margin-bottom:0.0000pt; margin-left:0.0000pt; text-indent:26.0000pt; mso-pagination:none; text-align:justify; text-justify:inter-ideograph; "><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">首先根据伺服系统的受力分析，分别建立了实心/空心滚珠丝杠伺服进给系统的 数学模型。空心滚珠丝杠开孔对伺服系统性能的影响有别于实心滚珠丝杠，故在此做 了对比研究。由于伺服进给系统作为一个机电一体化系统，系统的稳定性是前提。本 章不仅用开环伯德图判断了系统的稳定性，同时通过</span><span class="19" style="font-family: 'Times New Roman'; letter-spacing: 0pt; font-size: 10.5pt;">Routh</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">判据，证明了系统是稳定 的。</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;"><o:p></o:p></span></p> <p class="NewStyle45" style="margin-top:0.0000pt; margin-right:0.0000pt; margin-bottom:0.0000pt; margin-left:0.0000pt; text-indent:26.0000pt; mso-pagination:none; text-align:justify; text-justify:inter-ideograph; "><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">快速性是滚珠丝杠伺服进给系统的重要指标。本章分析了空心滚珠丝杠系统的快 速性较快些，并仿真验证了空心滚珠丝杠的快速性稍快于实心滚珠丝杠的快速性。</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;"><o:p></o:p></span></p> <p class="NewStyle45" style="margin-top:0.0000pt; margin-right:0.0000pt; margin-bottom:0.0000pt; margin-left:0.0000pt; text-indent:26.0000pt; mso-pagination:none; text-align:justify; text-justify:inter-ideograph; "><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;">在本章的最后部分校核了系统的强度和刚度，满足滚珠丝杠的要求。</span><span style="font-family: 宋体; letter-spacing: 0pt; font-size: 10.5pt;"><br clear="all" style="page-break-before:always" /> </span></p> <p class="NewStyle45" style="margin-top:0.0000pt; margin-right:0.0000pt; margin-bottom:0.0000pt; margin-left:0.0000pt; text-indent:26.0000pt; mso-pagination:none; text-align:justify; text-justify:inter-ideograph; "> </p> <p class="NewStyle45" style="margin-top:0.0000pt; margin-right:0.0000pt; margin-bottom:0.0000pt; margin-left:0.0000pt; text-indent:26.0000pt; mso-pagination:none; text-align:justify; text-justify:inter-ideograph; "> </p> <p class="NewStyle45" style="margin-top:0.0000pt; margin-right:0.0000pt; margin-bottom:0.0000pt; margin-left:0.0000pt; text-indent:26.0000pt; mso-pagination:none; text-align:justify; text-justify:inter-ideograph; "><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">本文采摘自“空心滚珠丝杠在数控机床伺服进给系统中的应用研究”，因为编辑困难导致有些函数、表格、图片、内容无法显示，有需要者可以在网络中查找相关文章！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 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=%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=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%E6%9C%BA%E5%BA%8A' target='_blank'>数控机床</a> <a href='/index.php?case=tag&act=show&tag=%E6%BB%9A%E7%8F%A0%E4%B8%9D%E6%9D%86' target='_blank'>滚珠丝杆</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 src="/index.php?case=vote&act=view&aid=1021"></script> <!-- 自定义表单开始 --> <!-- 自定义表单结束 --> <div class="blank60"></div> <!-- 上下页开始 --> <div id="page"> <strong>上一篇</strong><a 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