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中文摘要：
为了构造刚度过滤函数，利用均匀化方法计算了单胞挖不同尺寸方孔时对应的等效刚度，再依据计算出的离散刚度值按正则化最小二乘法拟合等效刚度的系数，然后用这些系数再次使用最小二乘法拟合出独立、连续、映射法刚度过滤函数的幂指数．由这种方法得到的刚度过滤函数能够正确地反映挖孔单胞等效刚度随方孔尺寸变化的规律，并且其幂指数值与拓扑优化经验值较吻合。
英文摘要：
To build a stiffness filter function, the homogenization method is adopted to compute the cellular equivalent stiffness for square hole of various size. According to the discrete values obtained, the normalized least square method is applied to fitting the equivalent stiffness coefficients. With these coefficients, the least square method is used once again to fit the power exponent of the filter function for the ICM（independent, continuous, mapping） method. The obtained filter function reflects correctly how the equivalent stiffness varies with the size of square hole. Moreover, the obtained power exponent agrees with the published empirical value.
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