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background-color: transparent;"><span class="2"><span style="font-family: SimSun;">2.4.2</span></span></st1:chsdate><span class="2" style="line-height: 12pt; background-color: transparent;">固定结合面等效力学模型</span></p> <div class="Section1"> <p class="21" align="left" style="margin: 0cm 0cm 0.0001pt; text-indent: 31pt; line-height: 20.9pt; background: transparent;"><span class="2">在装配体结构分析中，为结合部建立合理的等效力学模型是决定有限元模型能否 </span><span class="215pt1"><span style="font-size: 15pt;">真</span></span><span class="2">实反映实际结构力学特性的关键步骤之一。本课题中，立柱与床身通过螺栓连接，</span></p> <p class="21" style="margin:0cm;margin-bottom:.0001pt;line-height:20.9pt; mso-line-height-rule:exactly;background:transparent"><span class="2">属于固定结合面。而对于固定结合面，通常使用接触单元法、自定义虚拟介质层法或 线性弹簧一阻尼单元法建立结合部的力学模型。</span></p> <p class="21" style="margin:0cm;margin-bottom:.0001pt;text-indent:33.0pt; line-height:20.9pt;mso-line-height-rule:exactly;mso-list:l0 level1 lfo1; tab-stops:48.15pt;background:transparent"><!--[if !supportLists]--><span style="font-size: 12pt; font-family: SimSun;">1)<span style="font-stretch: normal; font-size: 7pt; line-height: normal; font-family: 'Times New Roman';"> </span></span><!--[endif]--><span class="2">接触单元法在结合面处建立接触对，属于非线性分析，需要设置接触刚度。由 于在</span><span class="211pt"><span lang="EN-US" style="font-size: 11pt;">ANSYS</span></span><span class="2">模态分析过程中忽略模型的非线性行为<sup>[26]</sup>,故此方法不适用于模态分 析。</span></p> <p class="21" style="margin:0cm;margin-bottom:.0001pt;text-indent:33.0pt; line-height:20.9pt;mso-line-height-rule:exactly;mso-list:l0 level1 lfo1; tab-stops:48.4pt;background:transparent"><!--[if !supportLists]--><span style="font-size: 12pt; font-family: SimSun;">2)<span style="font-stretch: normal; font-size: 7pt; line-height: normal; font-family: 'Times New Roman';"> </span></span><!--[endif]--><span class="2">虚拟介质层法假定结合面上各点均匀接触，并且所有的接触点具有相同力学性 质，在结合面间建立虚拟介质层模拟结合部，如图</span><span class="2"><span style="font-family: SimSun;">2.10</span></span><span class="2">所示。在构件</span><span class="211pt"><span lang="EN-US" style="font-size: 11pt;">A</span></span><span class="2">、</span><span class="211pt"><span lang="EN-US" style="font-size: 11pt;">B</span></span><span class="2">间建立虚 拟的介质层，各构件与介质层的连接视为刚性连接，而结合面的力学性能用虚拟介质 层的材料常数来模拟<sup>[27]</sup>。使用该方法建模需要确定介质层的厚度、刚度等特性参数。</span></p> <p class="21" style="margin:0cm;margin-bottom:.0001pt;text-indent:33.0pt; line-height:20.9pt;mso-line-height-rule:exactly;mso-list:l0 level1 lfo1; tab-stops:48.4pt;background:transparent"><!--[if !supportLists]--><span style="font-size: 12pt; font-family: SimSun;">3)<span style="font-stretch: normal; font-size: 7pt; line-height: normal; font-family: 'Times New Roman';"> </span></span><span class="2" style="line-height: 20.9pt; text-indent: 33pt; background-color: transparent;">弹簧一阻尼单元法依据结合部表现出既有弹性又有阻尼，既储存能量又消耗能 量的“柔性结合”本质特性，用若干组弹簧、阻尼器将两个子结构连接起来，如图 </span><span class="2" style="line-height: 20.9pt; text-indent: 33pt; background-color: transparent;"><span style="font-family: SimSun;">2.11</span></span><span class="2" style="line-height: 20.9pt; text-indent: 33pt; background-color: transparent;">所示。</span></p> <p class="21" style="margin:0cm;margin-bottom:.0001pt;text-indent:28.0pt; line-height:20.9pt;mso-line-height-rule:exactly;background:transparent"><span class="2">该方法是目前最成熟、应用最广泛的方法，只要合理确定结合部弹簧一阻尼单元 的数量、布置方式以及特性参数，可较真实地反映原结合部的力学特性。</span></p> <p class="21" style="margin:0cm;margin-bottom:.0001pt;text-indent:28.0pt; line-height:20.9pt;mso-line-height-rule:exactly;background:transparent"><span class="2">如图</span><span class="2"><span style="font-family: SimSun;">2.12(</span></span><span class="211pt"><span lang="EN-US" style="font-size: 11pt;">a</span></span><span class="2"><span style="font-family: SimSun;">)</span></span><span class="2">所示固定结合面，构件</span><span class="211pt"><span lang="EN-US" style="font-size: 11pt;">A</span></span><span class="2">受正向作用力</span><span class="211pt"><span lang="EN-US" style="font-size: 11pt;">P</span></span><span class="2"><span style="font-family: SimSun;">,</span></span><span class="2">作用力通过结合面传递到 构件</span><span class="211pt"><span lang="EN-US" style="font-size: 11pt;">B</span></span><span class="2">。</span><span class="2">由于结合面面积较大，可忽略连接点之间产生的相对转角，且结合面之间没 有剪切作用力，因此只需用一组沿作用力方向的等效弹簧一阻尼单元即可模拟结合面 的动力学特性，如图</span><span class="2"><span style="font-family: SimSun;">2.</span></span><span class="2">1</span><span class="2"><span style="font-family: SimSun;">2(</span></span><span class="211pt"><span lang="EN-US" style="font-size: 11pt;">b</span></span><span class="2"><span style="font-family: SimSun;">)</span></span><span class="2">所示。</span><span class="2Exact" style="line-height: 27.8666667938232px; text-indent: 36px;">使用弹簧一阻尼单元等效后的结合面可视为山构件</span><span class="211pt10" style="line-height: 27.8666667938232px; text-indent: 36px;"><span lang="EN-US" style="font-size: 11pt;">A</span></span><span class="2Exact" style="line-height: 27.8666667938232px; text-indent: 36px;">、</span><span class="211pt10" style="line-height: 27.8666667938232px; text-indent: 36px;"><span lang="EN-US" style="font-size: 11pt;">B</span></span><span class="2Exact" style="line-height: 27.8666667938232px; text-indent: 36px;">以及结合部</span><span class="211pt10" style="line-height: 27.8666667938232px; text-indent: 36px;"><span lang="EN-US" style="font-size: 11pt;">J</span></span><span class="2Exact" style="line-height: 27.8666667938232px; text-indent: 36px;">三部分组 成，</span></p> </div> <!--[if !supportTextWrap]--> <!--[endif]--> <p class="21" style="margin:0cm;margin-bottom:.0001pt;text-indent:27.0pt; line-height:20.9pt;mso-line-height-rule:exactly;background:transparent"><span class="2">其中，</span><span class="211pt"><span lang="EN-US" style="font-size: 11pt;">C</span></span><span class="2"><span style="font-family: SimSun;">,</span></span><span class="2">、</span><span class="211pt"><span lang="EN-US" style="font-size: 11pt;">C</span></span><span class="2"><sub><span style="font-family: SimSun;">2</span></sub></span><span class="2">、…、为结合面上对应各对连接点间的阻尼；&、&、…、^则</span></p> <p class="21" align="left" style="margin: 0cm 0cm 0.0001pt; line-height: 20.9pt; background: transparent;"><span class="2">为结合面上对应各对接点间的刚度。</span></p> <p class="21" style="margin:0cm;margin-bottom:.0001pt;text-indent:27.0pt; line-height:20.9pt;mso-line-height-rule:exactly;background:transparent"><span class="2">当结构所受载荷的形式、方向比较复杂时，结合面存在多个方向的自由度，每个 方向的自由度都要采用一组连接单元，即对应两连接点间通过多组弹簧一阻尼单元连 接。此时</span><span class="211pt"><span lang="EN-US" style="font-size: 11pt;">c</span></span><span class="2"><span style="font-family: SimSun;">,</span></span><span class="2">、</span><span class="211pt"><span lang="EN-US" style="font-size: 11pt;">c</span></span><span class="2"><sub><span style="font-family: SimSun;">2</span></sub></span><span class="2">、…、</span><span class="211pt"><sub><span lang="EN-US" style="font-size: 11pt;">s</span></sub></span><span class="2">、</span><span class="2">^、^、…、^均为对角阵，其对角元素分别为两连接点 间各弹簧一阻尼单元的阻尼和刚度。假设第</span><span class="211pt"><span lang="EN-US" style="font-size: 11pt;">i</span></span><span class="2">对连接点间在</span><span class="211pt"><span style="font-size: 11pt;">X</span></span><span class="2">、</span><span class="211pt"><span lang="EN-US" style="font-size: 11pt;">y</span></span><span class="211pt"><span style="font-size: 11pt; font-family: 宋体;">、</span></span><span class="211pt"><span lang="EN-US" style="font-size: 11pt;">z</span></span><span class="2">三个方向上分别用 </span><span class="2"><span style="font-family: SimSun;">—</span></span><span class="2">组弹簧</span><span class="2"><span style="font-family: SimSun;">-</span></span><span class="2">阻尼单元连接，各向刚度和阻尼分别为</span><span class="211pt"><span lang="EN-US" style="font-size: 11pt;">Q</span></span><span class="2">、</span><span class="211pt"><span lang="EN-US" style="font-size: 11pt;">c<sub>v</sub></span></span><span class="2">、</span><span class="211pt"><span lang="EN-US" style="font-size: 11pt;">c</span></span><span class="2"><sub><span style="font-family: SimSun;">;</span></sub></span><span class="2">、</span><span class="2">夂、&、夂，则该对 连接点的阻尼和刚度矩阵分别为：</span></p> <p class="21" style="margin:0cm;margin-bottom:.0001pt;text-indent:27.0pt; line-height:20.9pt;mso-line-height-rule:exactly;background:transparent"><span class="2">使用弹簧一阻尼单元建立结合面力学模型需要合理确定连接的数量与位置，布置 结合部连接点时应注意：</span></p> <p class="21" style="margin:0cm;margin-bottom:.0001pt;text-indent:33.0pt; line-height:20.9pt;mso-line-height-rule:exactly;mso-list:l1 level1 lfo2; tab-stops:48.4pt;background:transparent"><!--[if !supportLists]--><span style="font-size: 12pt; font-family: SimSun;">1)<span style="font-stretch: normal; font-size: 7pt; line-height: normal; font-family: 'Times New Roman';"> </span></span><!--[endif]--><span class="2">面积较大的结合面可简化为多行、多点连接的形式，且行数、每行连接点数应 根据结合面的大小、形状、刚度、边界条件等因素合理确定。连接点数量过少容易造 成结合面的局部分离，太多则会引入不必要的高阶模态；</span></p> <p class="21" style="margin:0cm;margin-bottom:.0001pt;text-indent:33.0pt; line-height:20.9pt;mso-line-height-rule:exactly;mso-list:l1 level1 lfo2; tab-stops:48.4pt;background:transparent"><!--[if !supportLists]--><span style="font-size: 12pt; font-family: SimSun;">2)<span style="font-stretch: normal; font-size: 7pt; line-height: normal; font-family: 'Times New Roman';"> </span></span><!--[endif]--><span class="2">各连接点的自由度数应根据结合部的结构形式、外载荷的特点以及几何边界条 件等因素合理确定。</span></p> <p class="21" style="margin:0cm;margin-bottom:.0001pt;text-indent:33.0pt; line-height:20.9pt;mso-line-height-rule:exactly;mso-list:l1 level1 lfo2; tab-stops:48.4pt;background:transparent"> </p> <p class="21" style="margin:0cm;margin-bottom:.0001pt;text-indent:33.0pt; line-height:20.9pt;mso-line-height-rule:exactly;mso-list:l1 level1 lfo2; tab-stops:48.4pt;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" 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备注：为保证文章的完整度，本文核心内容由PDF格式显示，如未有显示请刷新或转换浏览器尝试，手机浏览可能无法正常使用！本文摘要：通过对混联五轴加工中心自适应深度学习控制方法的 研 究，可 知 此 方 法 的 创 新 之 处 在 于：１）建 立 了 机 床 的 运 动 学 … <a href="/bethel/5-aix/show-2965.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="五轴加工中心和五轴钻攻中心在机测量探头补偿" 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> 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