Abstract
Based on the independent, continuous and mapping (ICM) method and homogenization method, a research model is constructed to propose and deduce a theorem and corollary from the invariant between the weight filter function and the corresponding stiffness filter function of the form of power function. The efficiency in searching for optimum solution will be raised via the choice of rational filter functions, so the above mentioned results are very important to the further study of structural topology optimization.
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The project was supported by the National Natural Science Foundation of China (11172013) and Foundation of National Key Laboratory for Structural Analysis of Industrial Equipment in Dalian University of Technology Foundations (GZ1008).
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Shang, Z., Sui, YK. The invariant of the stiffness filter function with the weight filter function of the power function form. Acta Mech Sin 28, 1617–1619 (2012). https://doi.org/10.1007/s10409-012-0205-5
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DOI: https://doi.org/10.1007/s10409-012-0205-5