汽车薄壁冲压件焊点的拓扑优化.pdf

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1、ComputerEngineeringandApplications计算机工程与应用2010，46(12)201汽车薄壁冲压件焊点的拓扑优化岳彩锐1，隋允康1，杜家政1，常婧雅1，宋阳阳2，张雪2YUECai-ruiI,SUIYun-kangI,DUJia-zhengI,CHANGJing-yaI,SONGYang-yan92，ZHANGXue21．北京工业大学工程数值模拟中心，北京1001242一匕京工业大学计算机学院，北京1001241．NumericalSimulationCenterforEngineering，Beijin

2、gUniversityofTechnology，Beijing100124，China2．CollegeofScience，BeijingUniversityofTechnology，Beijing100124，ChinaE—mail：yuecair@emails．bjut．edu．cnYUECai-rui。SUIYun-kang，DuJia-zheng．eta1．Topologiealoptimizationofspot-weldforthin-walledpunchedstruc-mresofautomobile．Compute

3、rEngineeringandApplications。2010。46(12)：201-203．Abstract：Thenumberofspot-weldofthin-walledpunchedstructuresofautomobilehasimportantimpactsontheautomotivemanufacturingcost．Inordertoreducethecost，topologicaloptimizationofthespot-weldisbecomingahotspot．BasedontheICM(Indep

4、endentContinuousMapping)method，thediscretetopologicaloptimizationproblemaboutspot-weld’Sexistenceornotistransformedintothecontinuousoptimizationproblemon【o，1】．Theoptimizationmodelisfoundedwithmaximizingthestructuralstiffnessasobjectiveandstructuralstrengthasconstraints

5、．Theproblemofmulti_0bjectivesandmulti-constraintsistransformedintotheproblemofsingle-objectiveandsingle-constraintwiththeK-Sfunction．ThedisplacementandstressaretransformedintotheexplicitfunctionofdesignvariableswiththeResponseSurfaceMethodology(RSM)．Theoptimizationmode

6、lissolvedwithSe-quentialQuadraticProgram(SQP)．Toimprovesolutionefficiency，thefeasibilityoftheoptimizationproblemisanalyzedtofoundtheparallelenvironment．andtheparallelprogramofspot-weldoptimizationisexploitedwitIIC++andFortranlangnages．The即一gineeringpracticeshowsthatthe

7、optimizationalgorithmandprogramisfeasibleandefficient．Keywords：topologicaloptimization；IndependentContinuousMapping(ICM)method；K-Sfunction；responsesurfacemethodology；paraUelcomputing摘要：汽车薄壁冲压件的焊点数量是汽车制造成本的决定性因素，为了降低成本，焊点的拓扑优化逐渐成为人们关注的热点。基于ICM(IndependentContinuousMappi

8、ng，即独立、连续、映射)方法，将焊点有无的离散拓扑优化问题转化为[0，11区间上的连续优化问题；建立了以结构刚度最大为目标、结构强度为约束的连续拓扑优化模型；采用K—s函数将多目标和多约束问题转化为单目标和单约束问题；运用响应面(R