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class="lead" id="print"> <p><span style="font-size: 18px;">为保证机床的高动态性能，在保证结构刚度前提下需要对滑鞍结构进行拓扑优化去重处理，来提升动态性能。</span></p><p><span style="font-size: 18px;">4.1拓扑优化理论与优化模型建立</span></p><p><span style="font-size: 18px;">通过Ansys Workbench提供了结构优化分析模块，能够快速地解决产品优化设计问题[13]。此次分析采用结构优化模块进行分析，并结合静力学分析结果对初始滑鞍结构进行目标去除。</span></p><p><span style="font-size: 18px;">目标去除率γ小于最大去除率γ_max。</span></p><p style="text-align: center;"><span style="font-size: 18px;"></span><img src="/bethel/upload/images/202608/17876410919384.png" title="17876410919384.png" alt="image.png"/></p><p><span style="font-size: 18px;">式中，[σ]为材料屈服极限，QT600为370MPa；σ_max为载荷状态下材料的最大屈服力，根据仿真为12.567MPa；η_0为去除材料安全系数，取0.8。通过公式可以算出最大去除率为77.3%。</span></p><p><span style="font-size: 18px;">采用结构优化模块对初始滑鞍模型进行拓扑优化分析，需要对模型进行静力学分析，并导入结构优化模块中[13-14]。滑鞍前侧为镂空部分，减重意义不大，后侧为实心部分，因此设置拓扑优化目标区域为滑鞍后侧。拓扑优化进行时质量约束逐渐收敛，迭代求解完成，拓扑优化结束，拓扑优化效果图如图7所示。经过对比在去除率在30%~40%之间筋格形状最好，将筋格形状提取与原有模型对比，结果如图8所示。</span></p><p style="text-align: center;"><span style="font-size: 18px;"><img src="/bethel/upload/images/202608/17876411878510.png" title="17876411878510.png" alt="image.png"/></span></p><p style="text-align: center;"><span style="font-size: 18px;"><img src="/bethel/upload/images/202608/17876411957937.png" title="17876411957937.png" alt="image.png"/></span></p><p><span style="font-size: 18px;">4.2优化结果对比验证</span></p><p><span style="font-size: 18px;">为验证拓扑优化的成效，根据内部筋格形状进一步在Solidworks中重新构建滑鞍三维模型。并对重构滑鞍开展了静力学分析与模态分析，其静力学分析的变形云图如图9所示。从质量、变形及前十阶频率值这3个维度，将初始结构与拓扑优化后的滑鞍进行对比，所得对比结果具体见表3和表4。</span></p><p><span style="font-size: 18px;">由图6和图9所示，优化前滑鞍所受最大应力为12.567MPa，优化后最大应力为10.376MPa。由于拓扑优化后材料分布更加均匀，应力集中点发生了变化，降低了应力集中现象，优化后滑鞍所受最大应力值减小，仍符合强度要求。</span></p><p><span style="font-size: 18px;">由表3和表4可知，滑鞍经过拓扑优化后，与初始滑鞍相比，其质量减小了13.15%，基频降低了4.97%，最大变形量虽增大了，但仍符合设计需求。因此，经过拓扑优化明确了滑鞍合理的结构形态分布，同时实现了减轻整体质量、增强结构支撑刚度的目标。</span></p><p style="text-align: center;"><span style="font-size: 18px;"><img src="/bethel/upload/images/202608/17876412045624.png" title="17876412045624.png" 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