张拉膜结构的有限元分析

Finite element analysis of tension membrane structure

膜结构具有复杂的造型、独特的空间曲面与合理的受力机理。采用非线性有限元理论,对马鞍形膜结构进行了初始平衡形态的确定和均布荷载下的应力分析,研究了单双轴弹性模量对于理论分析结果的影响。研究结果表明膜面最大应力采用双轴弹性模量的分析结果比采用单轴弹性模量的分析结果大10%以上,使用单轴弹性模量的有限元模型偏于不安全,且双轴弹性模量更能反映膜材料的实际情况,工程设计时应该采用双轴弹性模量来进行分析。

Membrane structure has a complex shape, the unique curved surface and rational stress mechanism. In this paper, the nonlinear finite element theory was used to analyze the saddle - shaped membrane structure, includ- ing the form - finding and stress analysis under uniform loading, in which the effects of biaxial and uniaxial elastic modulus was considered. Results show that the maximum stress of the membrane surface using biaxial elastic modu- lus is 10% higher than that using the uniaxial elastic modulus. The model of uniaxial elastic modulus is unsafe, and the biaxial elastic modulus can better reflect the fact, which should be used for analysis.