应力约束下汽车车架结构的拓扑优化设计

为了得到汽车车架的概念化设计,本文基于独立、连续、映射方法,给出了汽车车架结构的计算机辅助优化设计的有效方法．采用应力全局化策略,将局部的应力约束转化为全局的应变能约束问题,建立了以结构质量为目标,应力约束下的汽车车架结构的拓扑优化模型,研究了多工况应力约束下连续体结构拓扑优化问题．另外,利用对偶理论,将建立的优化模型转化为对偶模型,用序列二次规划法进行了求解．对车架结构的数值分析表明了该方法的可行性与有效性．

Optimal Topology Design of Truck Frame Structure With Stress Constraints

To obtain the concept design of the truck frame structure, the efficient computer aided design method to optimize the structure of the truck frame is provided based on independent continuous mapping method. And the transformation of the local stress constraints of element into the global stain energy constraints of structure is achieved by virtue of the strategy of globalization of stress constraints. The optimal topology model of the truck frame structure subjected to the structural weight is established with stress constraints. The problem about topological optimization of continuum structure with multi degree freedom under stress constraints is studied. In addition, the dual model corresponding to the optimal model of continuum structure is solved by the serial quadratic programming. Furthermore, the numerical analysis about the truck frame structure shows that the method is effective and efficient.