王志明, 宋启根. 张力膜结构的找形分析[J]. 工程力学, 2002, 19(1): 52-56.
引用本文: 王志明, 宋启根. 张力膜结构的找形分析[J]. 工程力学, 2002, 19(1): 52-56.
WANG Zhi-ming, SONG Qi-gen. FORM-FINDING ANALYSIS OF TENSILE MEMBRANE STRUCTURES[J]. Engineering Mechanics, 2002, 19(1): 52-56.
Citation: WANG Zhi-ming, SONG Qi-gen. FORM-FINDING ANALYSIS OF TENSILE MEMBRANE STRUCTURES[J]. Engineering Mechanics, 2002, 19(1): 52-56.

张力膜结构的找形分析

FORM-FINDING ANALYSIS OF TENSILE MEMBRANE STRUCTURES

  • 摘要: 张力膜结构的形状不能随意选择,设计时首先要确定满足平衡条件和建筑要求的表面形状。本文根据大位移理论,得出了适合于张力膜结构的几何非线性有限元方程,给出了采用几何非线性有限元法确定张力膜结构的初始形状的方法,对预张应力的确定及找形问题的非线性方程求解收敛准则提出了建议。文中给出了几个找形算例,算例表明本文的找形方法是有效、正确的。

     

    Abstract: Forms of tensile membrane structures cannot be arbitrarily selected, therefore, the first step of designing these structures is to determine surfaces that satisfies static equilibrium and architecture need. Firstly, the initial equilibrium problem for tensile membrane structures is described. Then, geometrically nonlinear finite element equations for analyzing membrane structures are presented. A method for form finding of tensile membrane structure, is presented. The determination of pre-stress in membrane structures is discussed and convergence criteria for form finding are suggested. Some examples of form finding are given, indicating that the present method is effective.

     

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