摘要
为了满足制造工艺和静强度要求,提出一种综合考虑最小尺寸控制和应力约束的柔顺机构混合约束拓扑优化设计方法。采用改进的固体各向同性材料插值模型描述材料分布,利用多相映射方法同时控制实相和空相材料结构的最小尺寸,采用最大近似函数P范数求解机构的最大应力,以机构的输出位移最大化作为目标函数,综合考虑最小特征尺寸控制和应力约束建立柔顺机构混合约束拓扑优化数学模型,利用移动渐近算法求解柔顺机构混合约束拓扑优化问题。数值算例结果表明,混合约束拓扑优化获得的柔顺机构能够同时满足最小尺寸制造约束和静强度要求,机构的von Mises等效应力分布更加均匀。
To satisfy manufacturing constraints and static strength requirements,a method for hybrid constrained topology optimization of compliant mechanisms considering both minimum length scale control and stress constraints was proposed.The improved solid isotropic material with a penalization model was adopted to describe the material distribution.The two-phase projection method was applied to simultaneously achieve minimum length scale control on both solid and void phases.The P norm approach was used to calculate approximately the maximum value of the element stress.The maximization of the output displacement of the compliant mechanism was developed as the objective function.The minimum length scale control and the maximum stress were used as the constraints.The model for hybrid constrained topology optimization of compliant mechanisms was established.The method of moving asymptotes was used to solve the optimization problem.The results of several numerical examples show that the compliant mechanism obtained by hybrid constrained topology optimization can meet both manufacturing constraints and strength requirements,and the von Mises equivalent stresses are more uniformly distributed.
作者
占金青
王云涛
刘敏
朱本亮
ZHAN Jinqing;WANG Yuntao;LIU Min;ZHU Benliang(School of Mechatronics and Vehicle Engineering,East China Jiaotong University,Nanchang 330013,China;Guangdong Provincial Key Laboratory of Precision Equipment and Manufacturing Technique,South China University of Technology,Guangzhou 510641,China)
出处
《振动与冲击》
EI
CSCD
北大核心
2022年第4期159-166,222,共9页
Journal of Vibration and Shock
基金
国家自然科学基金(51665011,52065019)
江西省自然科学基金(20202BAB204015,20202ACBL214013,20192BAB21602)。
关键词
柔顺机构
最小尺寸控制
应力约束
拓扑优化
多相映射方法
compliant mechanisms
minimum length scale control
stress constraints
topology optimization
multiple phase projection method
