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中文摘要：
根据达朗伯原理建立了方形膜结构的离散非线性振动方程组，推导了结构在一阶振型初始位移下的等效一阶频率的计算公式，例证了该计算方法的适用性．讨论了膜的预张应变、几何尺寸、弹性模量、膜材的密度、初始振幅改变及其结构的自重对膜结构振动的非线性特性的影响．
英文摘要：
D＇ Alembert＇s principle was adopted to establish the discrete square tensioned membrane＇s nonlinear vibration equations set, and free oscillating system＇ s equivalent fundamental frequency was deduced. The method of this paper is verified with an example. The effects of membrane＇s pre-strain, size, elastic ratio, density, relative amplitude and dead load of square tensioned membrane to the structure＇s non-linearity were also studied.
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