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弹性接触问题的形状优化设计方法
引用本文:崔海涛,马海全,温卫东.弹性接触问题的形状优化设计方法[J].应用力学学报,2004,21(2):83-86.
作者姓名:崔海涛  马海全  温卫东
作者单位:南京航空航天大学,南京,210016
基金项目:国家自然科学基金资助项目 ( 5 9875 0 3 7)
摘    要:设计模型复杂和结构的高度非线性等问题使得目前结构优化技术中很少涉及接触问题。面向对象的有限元法利用了面向对象编程的优点,有效地提高了编程的效率,并便于程序的扩充。在Visual C 软件平台上,开发编制了面向对象的有限元法程序,并对含接触问题的结构进行形状优化设计,重点推导并给出了含接触问题有限元法的灵敏度全解析分析的表达式,包括位移和应力的灵敏度分析、接触条件的灵敏度分析及相应的边界支配方程等。最后通过算例,验证了所提出的优化方法的正确性。

关 键 词:结构优化  形状优化  弹性接触  面向对象编程  有限元
文章编号:1000-4939(2004)02-0083-04

Structural Shape Optimization for Contact Problems
Cui Haitao,Ma Haiquan,Wen Weidong.Structural Shape Optimization for Contact Problems[J].Chinese Journal of Applied Mechanics,2004,21(2):83-86.
Authors:Cui Haitao  Ma Haiquan  Wen Weidong
Abstract:Structural optimization integrates the numerical analysis technology (such as finite element etc.) into optimization algorithm. However, contact problems, familiar and important in engineering, are not concerned in this technique. The main reason lies in the complex design model and the nonlinearity of structure. Object-oriented finite element method (OOFEM) is an important change in finite element code. It utilizes the advantages of object-oriented programming, improves the efficiency of the code, and extends conveniently. On the base of Visual C software, OOFEM program is developed ,and the theoretical expressions of the sensibility are conducted in detail. It includes displacement's sensibility, stress's sensibility, contact condition's sensibility and boundary governing equation correspondingly. A model is optimized to validate the correctness of the optimization method.
Keywords:structural optimization  shape optimization  contact  object-oriented program  finite element  
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