正交异性矩形薄板自由振动的一般解析解

A GENERAL ANALYTICAL SOLUTION OF FREE VIBRATION OF ORTHOTROPIC RECTANGULAR THIN PLATES

  • 摘要: 本文建立了正交异性矩形薄板自由振动横向位移函数微分方程的一般解。可用来求解任意边界矩形板的振动问题。作为例题,计算了复合材料悬臂层合板的频率。其结果与试验值基本吻合。

     

    Abstract: A general solution of the differential equation for transverse displacement function of orthotropic rectangular thin plates in free vibration is presented in this paper. It can be used to solve free vibration problem of rectangular plates with arbitrary boundaries. As an example, the frequencies of a composite laminated cantilever plate are calculated. The analytical predictions are in fair agreement with experimental results.

     

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