Plate/shell topological optimization subjected to linear buckling constraints by adopting composite exponential filtering function

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• 作者：Hong-Ling Ye ; Wei-Wei Wang ; Ning Chen ; Yun-Kang Sui
• 刊名：Acta Mechanica Solida Sinica
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：32
• 期：4
• 页码：649-658
• 全文大小：2,835 KB
• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Mechanics, Fluids and Thermodynamics
  Engineering Fluid Dynamics
  Numerical and Computational Methods in Engineering
  Chinese Library of Science
  
• 出版者：The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of
• ISSN：1614-3116
• 卷排序：32

文摘

In this paper, a model of topology optimization with linear buckling constraints is established based on an independent and continuous mapping method to minimize the plate/shell structure weight. A composite exponential function (CEF) is selected as filtering functions for element weight, the element stiffness matrix and the element geometric stiffness matrix, which recognize the design variables, and to implement the changing process of design variables from “discrete” to “continuous” and back to “discrete”. The buckling constraints are approximated as explicit formulations based on the Taylor expansion and the filtering function. The optimization model is transformed to dual programming and solved by the dual sequence quadratic programming algorithm. Finally, three numerical examples with power function and CEF as filter function are analyzed and discussed to demonstrate the feasibility and efficiency of the proposed method.KeywordsTopological optimizationPlate/shell structureLinear buckling constraintIndependent continuous and mapping (ICM) methodFilter function