CAJ | 학술논문

在变密度法拓扑优化中，敏度过滤是常用的消除数值不稳定的方法之一，但是敏度过滤容易引起模糊边界的产生，为此提出了一种基于卷积因子修正的敏度过滤方法，这种方法通过加强中间单元敏度、减少周边单元敏度的手段，抑制了模糊边界的产生。利用柔度最小化的算例，讨论了这种方法对优化结果的影响，结果证实，此方法可以克服边界模糊和消除棋盘格现象。
재변밀도법탁복우화중，민도과려시상용적소제수치불은정적방법지일，단시민도과려용역인기모호변계적산생，위차제출료일충기우권적인자수정적민도과려방법，저충방법통과가강중간단원민도、감소주변단원민도적수단，억제료모호변계적산생。이용유도최소화적산례，토론료저충방법대우화결과적영향，결과증실，차방법가이극복변계모호화소제기반격현상。
In the topology optimization of variable density method, sensitivity filter is a common one of the ways to eliminate the numerical instability, But the optimization's result of sensitivity filter is easy to cause the fuzzy boundary, In order to prevent this kind of phenomenon of fuzzy boundary, this paper proposes a sensitivity filter based on different convolution factors.This method is to strengthen the middle unit's sensitivity value, reduce the peripheral unit's sensitivity value, suppress the fuzzy boundary.Using the minimum compliance of the example, it obtains optimization results.The results prove that the method can prevent and alleviate checkerboards, mesh-dependency and fuzzy boundary.