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加筋夹层板的几何非线性自由振动分析
引用本文:谭邦本,刘桂生.加筋夹层板的几何非线性自由振动分析[J].湖南大学学报(自然科学版),1989,16(4):100-107.
作者姓名:谭邦本  刘桂生
作者单位:湖南大学应用力学研究所,湖南大学应用力学研究所
摘    要:本文应用能量法与谐波平衡原理求解加筋夹层板的几何非线性自由振动问题。对位移选用多模态近似解析解将连续体进行离散求解.计算了不同边界条件的算例,讨论了加筋(布局、数量、尺寸)对夹层板结果的影响。数值计算表明本文解法非常有效。

关 键 词:加筋夹层板  非线性振动  

The Geometric Nonlinear Free Vibration Problem of the Laminated Plate with Ribs
Tan Bangben,Liu Guisheng Institute of Applied Mechanics.The Geometric Nonlinear Free Vibration Problem of the Laminated Plate with Ribs[J].Journal of Hunan University(Naturnal Science),1989,16(4):100-107.
Authors:Tan Bangben  Liu Guisheng Institute of Applied Mechanics
Institution:Tan Bangben;Liu Guisheng Institute of Applied Mechanics
Abstract:In this paper, the geometric nonlinear free vibration problemof the laminated plate with ribs is solved by the energy method and theharmonic balance principle. The discretization is carried by using theapproximate analytical solution with multiplemode to express the displacem-ents. Solutions for different boundary, size and disposition of the laminateson the response of the plate is investigated. The efficiency of the method isverified by the mumerical examples.
Keywords:plate  nonlinear vibration  analysis/laminated plate with ribs  harmonic increment
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