中文摘要：

为了确定结构拓扑优化中不同过滤函数间的关系,深入研究了ICM方法中的过滤函数,针对幂函数形式的过滤函数,利用均匀化方法的思想,结合最小二乘法,确定了单元重量和单元刚度的过滤函数,然后采用数值模拟的方法,探讨了重量过滤函数和刚度过滤函数之间的关系,最后提出过滤函数幂指数系数的概念,得出刚度过滤函数随重量过滤函数变化的规律.

英文摘要：

In order to determine the relationship between different filter functions in structural topological optimization,the paper focuses on the filter function in the ICM method.For a filter function with the form of power functions,first the.homogenization method and the least squares method are adopted to calculate the weight filter function and the stiffness filter function.Then the numerical simulation method is used to study the relationship between the weight filter function and the stiffness filter function.Finally,the concept of exponential coefficients of filter function is proposed,and the relation of the stiffness filter function with the weight filter function is obtained.