基于应变能和拓扑描述数组的三维弹性体拓扑优化设计

提出一种基于应变能和拓扑描述数组的三维弹性体拓扑优化设计方法。该方法通过定义三维弹性体的拓扑描述数组实现了在拓扑优化设计的过程中单元网格的快速重新划分及结构拓扑信息的记录、设计域及非设计域的定义和单元的删除,将应变能低的单元定义为低效或无效的单元,在拓扑优化的过程逐步去除应变能低的单元获得结构的优化拓扑,该拓扑优化设计方法采用ANSYS软件的APDL语言实现。在程序设计中采用巧妙的增加应变能阈值的技术以避免设计灵敏度分析所带来巨大的计算工作量,从而提高了拓扑优化的效率,在整个拓扑优化设计过程中不需要人工控制的参数,程序通用性好。数值结果表明该方法高效简单,得到的最优拓扑符合工程结构的特点。

Topological Optimization of Three-dimensional Elastic Continuum Based on Strain Energy and Topology Representing Array

We present a method for three-dimensional elastic continuum topological optimization.The method achieves re-meshing the elements quickly and memorizing the informations of the structural topology in the process of topology optimization design,dividing the design domain and the non-design domain,and deleting the elements operation by defining the topology representing array of the three-dimensional elastic continuum.The low-lying strain energy element is defined as the lower-efficiency element or non-efficiency element.The structure optimal topology is achieved by deleting the low-lying strain energy elements gradually in the process of topology optimization design.The topology optimal design method is realized in ANSYS software with APDL language.An ingenious technique of increasing the threshold of strain energy is adopted to avoid the huge computation load of the design sensitivity analysis.So it can improve the efficiency of topology optimization.The method demands no parameters that are controlled by people during the topology optimization process.The example indicates that the method is efficient and simple.The optimized topology accords with the characteristic of engineering structures.