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李芳,凌道盛.虚拟层合单元在平面梁和拱形状优化中的应用[J].计算力学学报,2001,18(1):99~102
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虚拟层合单元在平面梁和拱形状优化中的应用
Application of virtual laminated element in the shape optimization of beam and arch
  
DOI:10.7511/jslx20011019
中文关键词:  虚拟层合单元 形状优化 平面梁 拱
英文关键词:virtual laminated element,shape optimization,plane beam and arch
基金项目:
李芳  凌道盛
[1]浙江工业大学机械系,浙江杭州310032 [2]浙江大学土木系
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中文摘要:
      本文在虚拟层合单元的基础上,为适应形状优化时边界变化的特点,构造了曲线分层的虚拟层合梁单元,这样,求解优化问题时仅把特定的层厚作为设计变量,无须改变原始数据结构,有限元网格只在优化初始生成一次即可,具有单元数少、设计变量少的优点,算例表明此法计算简便,结果可靠,具有良好的工程应用前景。
英文摘要:
      The curvilinear virtual laminated beam element, which is based on a new type of virtual laminated element and can be used to the shape optimization that often causes the change of the boundary shape. In the new method, the specific layer thickness is taken as design variations, and it doesn't require changing the original data structure. Therefore it does not need to reform the finite element in the shape optimization. The calculated results show that this method is very simple, and have reliable results. We believe that this method can be applied in the future engineering design.
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