连续体结构拓扑优化改进的敏度修正方法研究

为了消除拓扑优化中的棋盘格现象,在对常用敏度过滤方法的研究基础上,提出了一种新型敏度修正方法来解决数值不稳定性的问题。该方法通过设置中心单元过滤权重对拓扑优化结果进行控制。利用经典的柔度最小化数值算例研究了新型敏度修正方法对拓扑优化结果的影响,数值分析结果表明,该方法能达到消除棋盘格、网格依赖性现象以及避免边界过度磨平的目的。

Research on Improved Sensitivity Modification Method of Continuum Topology Optimization

In order to solve checkerboard pattern problem, a new sensitivity modification technique was deduced to overcome instability phenomena of topology optimization based on the research of common sensitivity filter method. This method was to control filter factor of central element, which will influence the results of topology optimization. The classical compliance minimal numerical example was carried out by the new sensitivity modification method though different functions, the results demonstrate that this method can eliminate checkerboard pattern, mesh dependent and avoid over-averaging in domain.