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《Journal of Beijing University of Technology》 2006-01
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The Stiffness Filter Function Based on Independent, Continuous, Mapping Method

ZHANG Xue-sheng, SUI Yun-kang, LONG Lian-chun, YE Hong-ling (College of Mechanical Engineering and Applied Electronic Technology, Beijing University of Technology, Beijing 100022, China)  
To build a stiffness filter function, the homogenization method is adopted to compute the cellular e-quivalent 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.
【Fund】: 国家自然科学基金资助项目(10472003) 北京市自然科学基金资助项目(3042002) 北京市教育委员会资助项目(KM200410005019).
【CateGory Index】: O174.4
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