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论文类型：期刊论文

发表时间：2014-04-01

发表刊物：STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

收录刊物：SCIE、EI、Scopus

卷号：49

期号：4

页面范围：689-694

ISSN号：1615-147X

关键字：Michell trusses; Elastic support; Three force problem

摘要：In this short note, analytic solutions of elastically supported Michell truss with varying support stiffness and support positions are presented. They are obtained by using the solution for the three forces problem in Michell truss theory and the compatibility condition at the elastic support. The developed solutions are in good agreement with numerical solutions from Sokol's 99 line code for the optimization of discretized Michell truss with the support force in analytic solution. Besides, optimality criteria and a numerical example for minimum compliance design of elastically supported truss are discussed; both of them show the minimum compliance designs of elastically supported truss subject to proper material volume constraint are also a Michell truss and in good agreement with our analytic solutions.