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形状优化的全解析敏度分析

张德欣 江允正 蔡謇

张德欣, 江允正, 蔡謇. 形状优化的全解析敏度分析[J]. 应用数学和力学, 2001, 22(11): 1193-1200.
引用本文: 张德欣, 江允正, 蔡謇. 形状优化的全解析敏度分析[J]. 应用数学和力学, 2001, 22(11): 1193-1200.
ZHANG De-xin, JIANG Yun-zheng, CAI Jian. Analytic Sensitivity Analysis for Shape Optimization[J]. Applied Mathematics and Mechanics, 2001, 22(11): 1193-1200.
Citation: ZHANG De-xin, JIANG Yun-zheng, CAI Jian. Analytic Sensitivity Analysis for Shape Optimization[J]. Applied Mathematics and Mechanics, 2001, 22(11): 1193-1200.

形状优化的全解析敏度分析

详细信息
    作者简介:

    张德欣(1964- ),男,硕士,高级工程师,主要科技成果:从事多种舰艇型号的设计工作,已发表多篇文章.

  • 中图分类号: U224

Analytic Sensitivity Analysis for Shape Optimization

  • 摘要: 在形状优化设计中,建立了边界元的全解析敏度分析技术,并将该技术与通用的形状优化设计算法相结合,对二维平面应力下的弹性体进行形状优化。在优化该文的例题时,用加权求和法处理该例题的多目标问题,最后获得满意的结果。
  • [1] Wang S, Sun Y, Gallagher R H. Sensitivity analysis in shape optimization of continuum structures[J]. Comput & Structures,1985,20(5):855-867.
    [2] Ramakrishnan C V, Francavilla A. Structural shape optimization using penalty functions[J]. J Struct Mech,1975,3(4):403-422.
    [3] Barone M R, Caulk D A. Optimal arrangement of holes in a two-dimeensional heat conductor by a special boundary integral methods[J]. Internat J Numer Methods Engrg,1982,18(5):675-685.
    [4] Banerjee P K, Butterfield R. Boundary Element Methods in Engineering Science[M]. New York, N Y: McGraw-Hill Book Co,New York,N Y,1981.
    [5] Eizadian D. Optimization of the shape of bidimensional structures by the boudnary integral equation method[D]. France: the National Institute of Applied Science of Lyon,1984.
    [6] Eizadian D. Trompette shape optimization of bidimensional structures by the boundary element method[A]. Conf on CADICAM Robotics and Automation in Design[C]. Tucson Ariz,1985.
    [7] Trompette Ph, Marcelin J L, Lallemaud C. Shape optimization of axisymmetric structures[M]. New York: N Y. The Optimum Shape Plenum Press,1985.283-296.
    [8] Zochowski A, Mizukami K. A comparison of BEM and FEM in minimum weight design[A]. In: C A Brebbia Ed.Boundary Element[C]. Heidelberg: West Germay: Springer-Verlag,1983,901-911.
    [9] Rodrigues H C, Mota Soares C A. Shape optimization of shafts[A]. In: 3rd Nat Cong of Theoret and Appl Mech[C]. Lisbon Porugal (in Portuguese),1983.
    [10] A Chaudouet-Miranda F, Elyafi Recent. Optinum design using BEM technique[A]. In: A Cruse Ed. Advances in Boundary Element Analysis Methods[C]. Department of Engineering Mechanics, San Antonio TX: Southwest Research Institute,78284,U S A
    [11] 刘洪秋,夏人伟. 一种新的形状灵敏度分析方法——具有两类变量的伴随方程法[J]. 计算结构力学及其应用,1993,10(3):7-14.
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  • 被引次数: 0
出版历程
  • 收稿日期:  1999-12-18
  • 修回日期:  2001-06-20
  • 刊出日期:  2001-11-15

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