结构多目标拓扑优化目标函数构建方法的研究

为实现结构材料的多目标拓扑优化设计，基于数学规划法提出一种广义的平均距离法，用以研究多目标拓扑优化目标函数的构建方法。介绍了运用平均距离法演变的将多目标转化为单目标的多种方法，并以汽车悬架控制臂为实例，应用演变的多种方法进行拓扑优化仿真研究。研究表明：运用平均距离法演变的多种方法可以灵活地构建多目标优化目标函数，基于所构建的目标函数可以寻找较优的构建方法，更好地将平均距离理念应用于多目标结构优化设计。

Research on Construction Method of Objective Function for Multi-objective Topology Optimization in Structures

For multi-objective topology optimization of structural materials，this paper presented a generalized average distance method to study the objective function construction method of multi-objective topology optimization based on mathematical programming. Several methods using the average distance of the evolution were introduced to change multi objectives into single objective,and the topology optimization of a automobile suspension control arm was taken as an example by a variety of methods that were evoluted in the simulation research. The results show that：a variety of methods using the average distance method can flexibly construct the objective function of the multi-objective optimization，and find a way to make better the construction objective function .The average distance concept may be applied to the design of structure optimization for multi-objective topology.