Analytical and numerical studies on the nonlinear dynamic response of orthotropic membranes under impact load
Analytical and numerical studies on the nonlinear dynamic response of orthotropic membranes under impact load
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DOI：
10.1007/s11803-016-0356-7
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发表时间：
2016-12-01
影响因子：
2.8
通讯作者：
Yang Xiaoyan
中科院分区：
文献类型：
--
作者：
Liu Changjiang;Zheng Zhoulian;Yang Xiaoyan
正交各向异性薄膜构件和结构由于重量轻，在建筑结构、仪器仪表、电子工程、航天航空等领域得到了广泛的应用。然而，相同的轻质和低的刚度使得薄膜在动载荷作用下容易发生振动，在某些情况下，振动可能会导致结构失效。本文采用解析和数值相结合的方法，研究了预应力矩形正交各向异性膜结构在冲击载荷作用下的无阻尼非线性振动响应。用Bubnov-Galerkin方法和Lindstedt-Poincare摄动法求解控制方程，得到解析解。基于相同的理论模型也进行了数值分析。对解析结果和数值结果进行了对比分析，并讨论了各种模型参数对薄膜振动的影响。所得结果为各向异性膜构件和结构的振动控制和动力设计提供了一定的理论依据。
Orthotropic membrane components and structures are widely used in building structures, instruments and meters, electronic engineering, space and aeronautics, etc., because of their light weights. However, the same lightweight combined with low stiffness make membranes prone to vibration under dynamic loads, and in some cases the vibration may lead to structural failure. Herein, the undamped nonlinear vibration response of pretension rectangular orthotropic membrane structures subjected to impact loading is studied by analytical and numerical methods. The analytical solution is obtained by solving the governing equations by the Bubnov-Galerkin method and the Lindstedt-Poincare perturbation method. Numerical analysis has also been carried out based on the same theoretical model. The analytical and numerical results have been compared and analyzed, and the influence of various model parameters on membrane vibration discussed. The results obtained herein provide some theoretical basis for the vibration control and dynamic design of orthotropic membrane components and structures.