| 方形张拉膜自由振动的几何非线性影响 |
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| 引用本文： | 潘钧俊,顾明.方形张拉膜自由振动的几何非线性影响[J].同济大学学报(自然科学版),2007,35(11):1450-1454. |
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| 作者姓名： | 潘钧俊 顾明 |
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| 作者单位： | 同济大学,土木工程防灾国家重点实验室,上海,200092 |
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| 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．
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| 关 键 词： | 膜结构 几何非线性 非线性振动 |
| 文章编号： | 0253-374X（2007）00-1450-05 |
| 收稿时间： | 2006-02-22 |
| 修稿时间： | 2006年2月22日 |
Geometric Nonlinear Effect to Square Tensioned Membrane's Free Vibration |
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| PAN Junjun,GU Ming.Geometric Nonlinear Effect to Square Tensioned Membrane''''s Free Vibration[J].Journal of Tongji University(Natural Science),2007,35(11):1450-1454. |
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| Authors: | PAN Junjun GU Ming |
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| Abstract: | 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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| Keywords: | membrane structures geometric nonlinear nonlinear vibration |
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