期刊论文

An ICM Method for Topology Optimization Based on Polished Inverse Mapping

中文

应用数学和力学

1000-0887

2018

39

4

424-441

10.21656/1000-0887.380052

The National Natural Science Foundation of China(11672103)

本校为其他机构

对结构拓扑优化ICM(independent continuous mapping)方法中的磨光映射和过滤映射加以拓广,利用反演映射极限形式的磨光特性构造其与过滤映射相协调的复合映射.由于该复合映射的叠加离散效应,首先引入幂函数和正弦函数的复合形式过滤函数,用ICM方法建立位移约束下重量最小为目标的连续体结构拓扑优化模型,并采用二次规划精确对偶算法进行求解.再将求得的离散解为主的连续最优解依照动态反演策略,用最佳阈值和理性反演函数求出最严格的0-1离散解,给出了拓扑优化"离散→连续"和"连续→离散"先后相反的二阶段解法.基于MATLAB软件平台开发了相应的拓扑优化计算程序,给出的数值算例对该文提出的方法进...

The polish mapping and the filter mapping in the ICM (independent continuous mapping) method for topology optimization were extended, and the composite function was used to coordinate the filter function. Due to the superposed discrete effects of composite functions, the composite function of the power function and the sine function was introduced to identify the presence and absence of the elements. The ICM method was used to establish the topology optimization model for the continuum structure with the minimum weight under the displacement co...