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利用薄壳无矩理论考虑预应力、内压两因素,得到了气承式充气膜结构找形解析公式。采用非线性有限元方法对气承式充气膜结构进行找形分析,利用现有的判别准则对找形后的模型进行判断,以保证模型建立的准确性。根据我国风荷载计算规范,同时结合澳大利亚规范中对穹顶式结构的风荷载体型系数取值,计算24.5 m/s风速作用下等效静力风荷载。通过对改变薄膜厚度、内压以及采取加强索的方式,来对比分析气承式充气膜结构力学性能。膜厚和内压的增加更有利于抵抗外部风荷载,提高整体刚度。最大最小应力之差较小符合实际情况。施加索时,可以降低结构在风载作用下的位移,应力分布更均匀。
By using the shell moment theory, considering the two factors of prestressing and internal pressure, the analytical formula of the shape of gas-filled aerated membrane is obtained. The nonlinear finite element method is used to find the shape of gas-filled aerated membrane structure, and the existing discriminant criterion is used to judge the shape-seeking model to ensure the accuracy of model establishment. According to the calculation standard of wind load in our country, the equivalent static wind load under wind speed of 24.5 m / s is calculated according to the value of wind load body coefficient of the dome-shaped structure in Australian Code. By changing the thickness of the film, the internal pressure and the way to take the cable to compare and analyze the mechanical properties of gas-supported gas-filled membrane structure. The increase of film thickness and internal pressure is more conducive to resist the external wind load and improve the overall rigidity. The difference between maximum and minimum stress is in line with the actual situation. When the cable is applied, the displacement of the structure under wind load can be reduced and the stress distribution is more even.