薄膜结构褶皱分析的有限元法

FINITE ELEMENT METHOD OF WRINKLING ANALYSIS OF MEMBRANE STRUCTURES

  • 摘要: 褶皱分析是薄膜结构受力分析的重要组成部分,阐述了适用于建筑膜材的主应力-主应变膜材受力状态判别准则和采用修正本构矩阵对褶皱的膜单元进行处理的方法,并给出了有限元公式。在此基础上,以索膜结构分析软件CAFA为平台编制了相应的有限元程序,根据矩形张拉膜受面内弯矩作用的计算结果与理论解的对比证明了程序的正确性,最后还给出了另外三个工程算例的分析结果。

     

    Abstract: The wrinkling analysis is critical for correctly loading analysis of membrane structures. The Principal Stress-Principal Strain Criterion which is the appropriate one for predicting the states of structural membrane: taut, wrinkled or slack, and the Modified Constitutive Relationship Method for the wrinkling analysis of membrane structures are presented. The finite element formulas are given, and the finite element program is developed on the basis of the Cable-Membrane Structure Analysis Program CAFA. The program is validated by the comparison between the numerical result and analytical solution of a stretched rectangular membrane subjected to planar bending. Results of other three example are also shown.

     

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