张拉膜结构自振特性研究

通过2个典型张拉膜结构工程实例，采用兰索斯法研究了加强索刚度、膜面初张力、膜面矢高和膜材质量对自振特性的影响．结果表明，膜面张力与结构质量是影响膜结构自振特性的主要因素，大变形产生的位形修正效应对膜结构自振特性也有较大影响．基于此，考虑大变形非线性对结构几何刚度的影响，提出了考虑位形修正的模态分析的概念。

Research on Free Vibration Properties of Membrane Structure

By taking two typical tensile membrane structures as examples, the free vibration properties of membrane structures were investigated using the Block Lanczos method, and the effects of stiffness of strengthened cables, prestress on membrane, ratio of rise to span and mass of membrane were discussed. The results show that the prestress and the mass are the two most important factors influencing the free vibration properties, and the geometry update resulted from large deformation has also a great effect on the free vibration properties. Finally, the concept of mode analysis considering the geometry update was put forward based on the effect of nonlinear large deformation on geometric stiffness of membrane structures.