| 粘弹性线支矩形板横向振动特性的一个精确解析解法 |
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| 引用本文： | 周叮. 粘弹性线支矩形板横向振动特性的一个精确解析解法[J]. 应用力学学报, 1995, 0(3) |
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| 作者姓名： | 周叮 |
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| 作者单位： | 南京理工大学 |
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| 摘 要： | 本文研究两对边简支、中间有任意个粘弹性线支矩形板的横向振动问题，给出了一个求其动态特性的新的精确解析方法。首先将粘弹性线支反力视为是作用于板上的未知外力，求得了含有未知外力的对边简支矩形板横向振动微分方程的精确解析解，然后利用边界条件及线支处支承反力与位移的线性关系导出频率方程及振型函数，方法有独特的优越性。本文最后还给出了一些算例。
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| 关 键 词： | 粘弹性，矩形板，线支，横向振动，解析解 |
An Exact Analytical Method on the Characteristic of TransverseVibration of Rectangular Plates with Viscoelastic Line Supports |
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| Zhou Ding. An Exact Analytical Method on the Characteristic of TransverseVibration of Rectangular Plates with Viscoelastic Line Supports[J]. Chinese Journal of Applied Mechanics, 1995, 0(3) |
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| Authors: | Zhou Ding |
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| Affiliation: | Nanjing University of Sclenee and Technolapy |
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| Abstract: | This paper studies the transveree vibration of two opposite edges simply supported rectangularplate with arbitrary number of viscoelastic inie supports. A new exact analytical method for solvingthe dynamic characteristic of such plate is given. First, the reaction forces of viseoelastic line supportsare regarded as unknown external forces acted on the plate, the exact analytical solution of differentialequation of transverse vibration of rectangular plate siniply supported at two opposite edges and arbi-trarily supported at other two edges is gained,then the frequency equation and mode shape functionsare derived by the use of boundary conditions and the linear relationship between the reaction forces ofline supports and the displacements of the plate at line suppotw. The method lias soine unique advan-tuges.Finally some numerical results are given. |
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| Keywords: | viscoelasticity rectangular plate line support transverse vibration exact analytical xolution. |
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