惯性载荷下飞行模拟器大臂结构的拓扑优化-论文.pdf

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1、第50卷第9期机械工程学报VO1．50NO．92014年5月JOI7RNALOFMECHANICALENGINEERINGMav2014DoI：10．3901／JME．2014．09．014惯性载荷下飞行模拟器大臂结构的拓扑优化母许华肠关立文王立平陈祥(清华大学机械工程系北京100084)摘要：采用导重法对惯性载荷下、以转动惯量为约束的拓扑优化问题进行求解。导重法经过改进，可以得到固定载荷下以整体柔顺度为目标、以转动惯量为约束的拓扑优化迭代公式。考虑到迭代计算时惯性载荷本身随各向同性固体微结构惩罚模型fSolidi

2、sotropicmicro．structureswithpenalization，SIMP)q~的伪密度的变化，进一步推导重力作用下的单工况拓扑优化迭代公式和重力．离心力同时作用下的多工况拓扑优化迭代公式，并通过相应算例证明其可行性和有效性。将得到的迭代算法应用于飞行模拟器大臂的优化设计中，并将由此得到的拓扑形貌与商业化优化软件Optistruct中得到的结果进行比较。对比显示：该算法比传统的序列线性规划法(Sequentiallinearprogramming，SLP)或移动渐近线法(Methodofmoving

3、asymptotes，MMA)的优化效果更佳，且二者的迭代效率差别不大。导重法为惯性载荷作用下以总体柔度为目标、以转动惯量为约束的拓扑优化问题提供新的有效的解决思路。关键词：拓扑优化；惯性载荷；转动惯量；导重法；飞行模拟器中图分类号：0342；V416TopologyOptimizationfortheArmofFlightSimulatorunderInertialLoadsXUHuayangGUANLiwenWANGLipingCHENXiang(DepartmentofMechanicalEngineerin

4、g，TsinghuaUniversity,Beijing100084)Abstract：Theguideweight(Gw)methodisappliedtosolvethetopologyoptimizationproblemssubjectedtoinertialloadsandwiththeconstraintofthemomentofinertia．TheGWalgorithmisimprovedandtheiterativeformulasfortopologyoptimizationproblemswi

5、ththeobiectofminimumcomplianceandtheconstraintofthemomentofinertiaunderfixedexternaIloadsarederived．Consideringthedensity-dependentcharacteristicofinertialloads，theiterativeformulasforsingleloadofself-weightandtheiterativeformulasformultipleloadsofself-weighta

6、ndcentrifugalforcesareobtainedrespectively,thenthefeasibilityandefectivenessofthesealgorithmsarevalidatedbycalculatingcorrespondingnumerica1examples．Theaboveiterativeformulasareappliedintothetopologyoptimizationofthearlnofflightsimulator．Aftercomparingwithther

7、esultscalculatedbySLPorMMAutilizedbyOptistruct．it’SnothardtoseethatGWiSmoreadvantageousthantheabove—mentionedalgorithmsintermsofbomoptimizedcomplianceandthevalueofinertiaofmoment．Moreover,therearen’tobviousdiferencesbetweenGWandtheseconventionalmethodsattheasp

8、ectsofconvergenceeficiency．Theguideweightalgorithmprovidesanewefectivemethodforsolvingthetopologyoptimizationproblemssubjectedtoinertial1oadswiththeconstraintofthemomentofinertia．K