基于节点独立变量的连续体结构动态拓扑优化

DYNAMIC TOPOLOGICAL OPTIMIZATION METHOD OF CONTINUUM STRUCTURES BASED ON NODAL INDEPENDENT DESIGN VARIABLES

提出基于节点独立变量的连续体结构动态拓扑优化方法.以动态结构响应量最小或最大为目标,体积比为约束,建立了动态结构拓扑优化模型.基于数字图像处理过滤技术得到清晰、边界光滑和体现网格无关性的优化结果.通过二维结构数值算例对理论方法进行验证.结果表明,该方法在连续体结构动态拓扑优化设计中具有可行性和有效性.

A new topological optimization method of dynamic continuum structures is presented based on nodal independent design variables. Topological optimization models are developed where dynamic structural responses are taken as objective and prescribed volume fraction are referred to as constraint conditions. Image-filtering method is adopted to eliminate checkerboard patterns and mesh-dependence problems. Numerical examples show that the proposed method is feasible and robust in dynamic topological optimization design of continuum structure.