【摘要】 为解决多工况下多位移约束的连续体结构拓扑优化问题,引入了K-S函数对位移约束进行集成化处理.在建立优化模型时,基于莫尔定理按ICM方法导出约束点位移与设计变量之间的近似显函数关系,然后采用Lagrange乘子法进行求解.给出三个算例对该方法进行验证,并与ESO法、BESO法、MD法以及均匀化方法的结果进行比较.结果表明:该方法计算效率较高,并且能够计算出更合理的结构拓扑.更多还原

【Abstract】 In order to solve the topology optimization problem of continuum structures with multi-displacement constraints under multiple load cases,K-S function is introduced to integratedly approach the displacement constraints.According to the ICM(Independent Continuous Mapping) method,an approximate explicit expression between displacements at constrained nodes and design variables based on the Mohr’s theorem is derived to establish the model of structural optimization,and then the Lagrange multiplier method is employed to solve it.Three examples are used to verify the method,the results obtained is compared with those by the ESO method,the BESO method,the MD method and the homogenization method.They show that this method is more efficient and gives more reasonable structural topologies.更多还原