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Plate/shell topological optimization subjected to linear buckling constraints by adopting composite exponential filtering function
  • ISSN号:0567-7718
  • 期刊名称:《力学学报:英文版》
  • 时间:0
  • 分类:O342[理学—固体力学;理学—力学] TU313[建筑科学—结构工程]
  • 作者机构:College of Mechanical Engineering and Applied ElectronicsTechnology, Beijing University of Technology, Beijing100124, China
  • 相关基金:Acknowledgments The project was supported by the National Natural Science Foundation of China (Grants 11072009, 111720131).
中文摘要:

在这份报纸,有线性弄弯的限制的拓扑学优化的一个模型基于一个独立人士和连续印射方法被建立最小化板 / 壳结构重量。一个合成指数的函数(CEF ) 作为为元素重量,元素僵硬矩阵和元素过滤函数被选择几何僵硬矩阵,它认出设计变量,并且设计变量处理实现变化从对分离连续并且回到分离。弄弯的限制基于泰勒扩大和过滤功能作为明确的明确的表达被接近。优化模型被转变到双编程并且由双顺序解决了二次的编程算法。最后,有力量功能和 CEF 的三个数字例子作为过滤器功能被分析并且讨论了表明建议方法的可行性和效率。

英文摘要:

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.

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期刊信息
  • 《力学学报:英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学技术协会
  • 主办单位:中国力学学会 中国科学院力学研究所
  • 主编:卢天健
  • 地址:北京市海淀区北四环西路15号
  • 邮编:100190
  • 邮箱:actams@cstam.org.cn
  • 电话:010-62536271
  • 国际标准刊号:ISSN:0567-7718
  • 国内统一刊号:ISSN:11-2063/O3
  • 邮发代号:2-703
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:352