矩形Mindlin板振动分析的离散奇异卷积方法

Convolution method for the vibration analysis of rectangular Mindlin plates

提出了一种离散奇异卷积(DSC)方法来对基于M ind lin剪切变形理论的矩形厚板进行自由振动分析.此方法采用了Gauss delta序列核作为基函数并结合pb-2-Rayle igh-R itz方法的边界函数得到了一种新型的R itz方法.数值结果表明此方法相当精确有效.

This paper presents a new method for the free vibration analysis of thick rectangular plates based on Mindlin shear deformation theory. The proposed method introduces DSC delta sequence kernels as basis functions and takes the advantage of the pb-2 Rayleigh-Ritz boundary function to arrive at a new version Ritz method. The performance of the proposed method is carefully validated by convergence and comparison analyses. Numerical resuits indicate that the proposed method is very effcient and accurate. The frequency parameters obtained agree very well with those in the literature.