中文摘要：

为了研究多工况下静态刚度和动态振动频率为目标函数的拓扑优化结构设计，提出了一种连续体结构多目标拓扑优化的研究方法。基于实体各向同性材料惩罚函数（SIMP）的插值模型，采用满意协调法把多目标问题转化为单目标问题，从而避免因单目标拓扑优化而不能满足车体结构性能要求的缺点，同时通过一些变换，规避了满意协调法中不合等式约束这一条件。运用OptiSt—ruct平台，以发动机盖为实例进行多目标拓扑优化，并与已经用于生产的成熟的发动机盖模型进行对比，验证了优化方案的可行性。

英文摘要：

A multi-objective topology optimization method for continuum structures, satisfying trade-off method was proposed in this paper, in which both the compliance and eigenvalue were regarded as static and dynamic optimiza- tion objectives. Based on the interpolation model of the solid isotropic material with penalization（ SIMP）, satisfying trade-off method was used to transform the multi-objective question as the simple target question. This method over- comes the shortcoming of single-objective topology optimization, which can not meet the performance requirements of automotive structures. At the same time, some transformation methods were employed to avoid equality constraint condition of the Satisfying trade-off method. Taking the engine＇s hood as the example, the multi-objective topology optimization by the OptiStruct software was carried out, and the numerical calculation results verified the feasibility of the optimization program compared with the hood~ mature model.