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background-color: transparent;"><span class="67"><span style="font-family: SimSun;">2.3.2</span></span></st1:chsdate><span class="67" style="line-height: 12pt; background-color: transparent;">分析分量法</span></p> <p class="670" style="margin:0cm;margin-bottom:.0001pt;line-height:12.0pt; mso-line-height-rule:exactly;mso-pagination:lines-together;page-break-after: avoid;background:transparent"><a name="bookmark16"></a></p> <p class="MsoNormal" style="text-indent:36.0pt;mso-char-indent-count:3.0">由于试验条件的关系，本文采用频域识别的方法对机床的模态参数进行识别， 下面简单介绍在频域中的一些模态参数识别方法。</p> <p class="21" style="margin:0cm;margin-bottom:.0001pt;text-indent:32.0pt; line-height:21.35pt;mso-line-height-rule:exactly;background:transparent"><span class="2">分量分析法就是将频响函数分成实部和虚部分量进行分析，式</span><span class="2Constantia2"><span lang="EN-US" style="font-size: 11pt;">(2-15)</span></span><span class="2">是基本 公式，它是一种图解法，即从曲线上直接找出有关参数。</span></p> <p class="21" style="margin:0cm;margin-bottom:.0001pt;text-indent:32.0pt; line-height:21.35pt;mso-line-height-rule:exactly;background:transparent"><span class="2">由式</span><span class="2Constantia2"><span lang="EN-US" style="font-size: 11pt;">(2-14)</span></span><span class="2">可知，在某一频率下的传递函数为各阶模态传递函数的叠加。当 激振频率</span><span class="211pt5"><span lang="EN-US" style="font-size: 11pt;">w</span></span><span class="2">趋近于第</span><span class="211pt5"><span lang="EN-US" style="font-size: 11pt;">r</span></span><span class="2">阶模态的自然频率时，则该阶模态在传递函数中起主导作 用，称为主导模态，在主导模态附近其它模态的影响比较小，特别是当模态密度 不是很大时，即各阶模态相距较远时，其它模态的传递函数数值很小，且曲线比 较平坦，几乎不随频率而变化，因此其余模态的影响可用</span><span class="2"><span style="font-family: 'Times New Roman';">•</span></span><span class="2">复常数</span><span class="211pt5"><span lang="EN-US" style="font-size: 11pt;">H<sub>c</sub></span></span><span class="2">■来表示，当 </span><span class="2105pt2"><span style="font-size: 10.5pt;">〇</span></span><span class="2Constantia2"><span lang="EN-US" style="font-size: 11pt;">)</span></span><span class="2">在以的邻域内时</span><span class="2105pt2"><span style="font-size: 10.5pt;">，</span></span><span class="2105pt2"><span style="font-size: 10.5pt;">（</span></span><span class="2Constantia2"><span lang="EN-US" style="font-size: 11pt;">2-15)</span></span><span class="2">式可写成</span></p> <p class="MsoNormal" style="text-indent:30.0pt;mso-char-indent-count:2.5">分量分析法在系统模态密度不高时，具有足够的精度，但是由于它仅利用了 频响函数曲线峰值点的信息来确定模态参数，当峰值点有误差时，识别精度将会</p> <p class="MsoNormal">受到影响[38]。</p> <p class="620" align="left" style="margin-bottom: 3.3pt; line-height: 12pt; page-break-after: avoid; background: transparent;"><a name="bookmark17"></a><st1:chsdate year="1899" month="12" day="30" islunardate="False" isrocdate="False" w:st="on"><span class="62"><span style="font-family: SimSun;">2.3.3</span></span></st1:chsdate><span class="62">导纳圆分析法</span></p> <p class="890" style="margin-top:0cm;text-align:justify;text-justify:inter-ideograph; text-indent:35.0pt;line-height:21.35pt;mso-line-height-rule:exactly;background: transparent"><span class="89">这是一种比较经典的方法。许多动态信号分析仪在频响函数测量后都能显 示</span><span class="89Constantia"><span lang="EN-US">Nyquist</span></span><span class="89">图，也就是导纳圆图，所以它也是比较直观的方法。对单自由度 系统或模态耦合不很紧密的自由度系统，这种方法能取得比较满意的结果。</span></p> <p class="890" style="margin-top:0cm;text-align:justify;text-justify:inter-ideograph; text-indent:35.0pt;line-height:21.35pt;mso-line-height-rule:exactly;background: transparent"><span class="89">对具有结构阻尼的单自由度系统，其位移导纳在复平面上构成一个圆。对粘 性阻尼单自由度系统，若阻尼系数较小，其频响函数矢量端轨迹亦近似为圆。在 实际工程应用中，大多数结构都是多自由度系统，为此可在某阶模态频响函数共 振峰值附近选项取</span><span class="89"><span style="font-family: SimSun;">6-10</span></span><span class="89">个频率点，即所谓截取某阶模态为单模态系统，从而应用 导纳圆理论。</span></p> <p class="890" style="margin-top:0cm;text-align:justify;text-justify:inter-ideograph; text-indent:28.0pt;line-height:21.35pt;mso-line-height-rule:exactly;background: transparent"><span class="89">即使对于单自由度系统，由于模态测试等方面不可避免的误差，频响函数矢 端轨迹不一定都落在理论圆上。为此必须找出一个理论圆，使此圆上各相应点的 数值与实测值之间的误差最小，即采取所谓曲线拟合法。</span><span class="150pt"><span style="font-size: 12pt;"><o:p></o:p></span></span><br clear="ALL" /> <span class="150pt"> 这里的讨论只涉及到单一模态，实际上多自由度系统的导纳圆由于各模态间 的叠加，会在多平面上产生平移或旋转，且由于存在多个模态，同一测点上的频 响函数会形成多个导纳圆，它们不一定是完整的圆，而是几个弧段，各阶模态对 应有一个弧段，因此可根据第一个弧段拟合一个圆，然后根据各拟合圆，按单模 态的情况分别识别对应的模态参数。</span><o:p></o:p></p> <p class="150" style="text-align:justify;text-justify:inter-ideograph;text-indent: 28.0pt;line-height:21.85pt;mso-line-height-rule:exactly;background:transparent"><span class="150pt">上面讨论的是结构阻尼的情况，对于粘性阻尼，系统的频响函数在复平面上 缓出</span><span class="15TimesNewRoman"><span lang="EN-US">Nyquist</span></span><span class="150pt">图则不是一个圆，但在小阻尼或固有频率附近，其</span><span class="15TimesNewRoman"><span lang="EN-US">Nyquist</span></span><span class="150pt">图仍接近 于一个圆，因此对其各阶固有频率附近的频响函数测量值，仍可按上述方法进行 参数识别。</span><o:p></o:p></p> <p class="150" style="margin-bottom:19.9pt;text-align:justify;text-justify:inter-ideograph; text-indent:28.0pt;line-height:21.85pt;mso-line-height-rule:exactly;background: transparent"><span class="150pt">导纳圆识别方法不仅利用频响函数峰值点的信息，而且利用固有频率附近很 多点的信息，即使没有峰值信息，仍然可以求出固有频率。这样可避免峰值信息 误差所造成的影响。但是该方法在模态密集时误差较大，因为导纳圆法仍然是建 立在主导模态基础上的。</span></p> <p class="150" style="margin-bottom:19.9pt;text-align:justify;text-justify:inter-ideograph; text-indent:28.0pt;line-height:21.85pt;mso-line-height-rule:exactly;background: transparent"> </p> <p class="MsoNormal"><span style="font-size:9.0pt;font-family:宋体;mso-ascii-font-family: "Times New Roman";mso-hansi-font-family:"Times New Roman"">本文采摘自“</span><span lang="EN-US" style="font-size:9.0pt">VMC1060</span><span style="font-size:9.0pt; font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman"">型立式加工中心试验模态分析”，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><span lang="EN-US" style="font-size:9.0pt"> <o:p></o:p></span></p> <p class="150" style="margin-bottom:19.9pt;text-align:justify;text-justify:inter-ideograph; text-indent:28.0pt;line-height:21.85pt;mso-line-height-rule:exactly;background: transparent"><o:p></o:p></p></div> 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href="/bethel/5-aix/show-2959.html" target="_blank">五轴加工中心和五轴钻攻中心在机测量探头补</a></h4> <p>在机测量技术由于其成本低、检测效率高、无需二次装夹等优势被广泛用于零件加工测量当中，使得五轴加工中心和五轴钻攻中心，同时又兼具测量功能。在机测量系统的构成如图1所示，硬件部分主要是由高精度探头、信号接收器、机床整个本体，软件部分由机床控制系统、测量软件等组成[8]。待零件加工完成… <a href="/bethel/5-aix/show-2959.html" target="_blank">[了解更多]</a></p> </div> <div class="news-list list-border list-border-w"> <div class="list-date"> <span>05</span> <p>2024-11</p> </div> <h4><a title="五轴加工中心进给系统动态误差影响因素" href="/bethel/5-aix/show-2958.html" target="_blank">五轴加工中心进给系统动态误差影响因素</a></h4> <p>加工精度是影响机床性能和产品质量的主要难题，也是制约国家精密制造能力的重要因素。本文以五轴加工中心为对象，针对提升机床精度进行了研究。并且随着科技的发展，精密的仪器和零件在生产实践中占据的分量逐渐增加，在数控机床这种精密机器精度不断提高的同时，必须控制内外界环境的随机影响因素在… <a href="/bethel/5-aix/show-2958.html" target="_blank">[了解更多]</a></p> </div> <!-- 内容列表结束 --> </div> <!-- 相关文章结束 --> <!-- 页底推荐图文产品开始 --> <hr class="featurette-divider"> <!-- 页面标题开始 --> <div class="title"> <h3 class="wow bounceInDown" data-wow-delay="0.5s"><a href="/bethel/cnc">产品中心<small></small></a></h3> <span>——</span> 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