Abstract

According to the characteristics of the cyclic ring structure, this paper deals with a topology optimization method based on the dynamical Hertz contact theory to simulate the material distribution. A piecewise linear plasticity material model is utilized by considering the relative design of materials as design variables. Using the cellular automata unit state information to update the design variables, the Hertz contact theory is employed to determine the angle of the design domain substructure. The number of substructures within the structure of the suction to the maximum is considered as the optimization objective function. Through exploiting the method presented in this article, the topology optimization configurations of the cyclic ring structure with different mass fractions are verified with the results of the finite element approach and thereafter the crashworthiness simulation analyses are performed. The results show that the topology optimization problems of crashworthiness of cyclic structures can be suitably solved by using the proposed method.

摘要

针对环状环状结构的特点，提出了一种基于动态赫兹接触理论的拓扑优化方法来模拟材料分布。通过将材料的相关设计作为设计变量来使用分段线性塑性材料模型。利用元胞自动机单元状态信息更新设计变量，采用赫兹接触理论确定设计域子结构的角度。吸力结构内子结构的数量达到最大被认为是优化目标函数。通过利用本文介绍的方法，用有限元方法的结果验证了不同质量分数的环结构的拓扑优化配置，然后进行了耐撞性仿真分析。结果表明，该方法可以较好地解决循环结构耐撞性的拓扑优化问题。