箱形正交异性矩形板结构的自由振动分析

郑荣跃 黄炎 蔺文峰

振动与冲击 ›› 2009, Vol. 28 ›› Issue (3) : 161-163.

PDF(890 KB)
PDF(890 KB)
振动与冲击 ›› 2009, Vol. 28 ›› Issue (3) : 161-163.
论文

箱形正交异性矩形板结构的自由振动分析

  • 郑荣跃 黄炎 蔺文峰
作者信息 +

FREE VIBRATION ANALYSIS OF BOX ORTHOTROPIC Rectangular Plate STRUCTURE

  • ZHENG Rong-yue HUANG Yan LIN Wen-feng
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摘要

箱形正交异性矩形板结构为由四块板组成的结构。可以用一般解析解来求解这种结构的自由振动问题。这种解能用于求解板具有任意边界。对于每块板,其上边和下边具有边界条件,而在相连的两块板边则具有连续性条件。由四块板的全部条件方程式即可求解自然频率及其振型。为求解所有频率,可利用变形的对称和反对称条件,以矩形的和正方形的板结构为例进行了计算和分析。

Abstract

A box orthotropic rectangular plate structure is a structure made by four plates. To solve the free vibration problem of this structure, it may be analyzed by the method of general analytical solution. This solution can be used to solve the plate with arbitrary boundaries. For each plate there are boundary conditions at the top and the bottom. While at the edge connected between two plates there are continuous conditions. From equations caused by all of the conditions of four plates, it can be used to solve the natural frequencies and vibration modes. For solve all of the frequencies it may be make use of symmetric and antisymmetric conditions in deformation. For example, a rectangular and a square plate structure has been calculated and discussed.

Key words

Orthotropic rectangular plate / Free vibration / General analytical method / Natural frequency / Mode.

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郑荣跃 黄炎 蔺文峰. 箱形正交异性矩形板结构的自由振动分析[J]. 振动与冲击, 2009, 28(3): 161-163
ZHENG Rong-yue HUANG Yan LIN Wen-feng . FREE VIBRATION ANALYSIS OF BOX ORTHOTROPIC Rectangular Plate STRUCTURE[J]. Journal of Vibration and Shock, 2009, 28(3): 161-163

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