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| 矩形Mindlin板振动分析的DSC方法 | |
| 引用本文： | 侯云山,刘宏兵,翟红村. 矩形Mindlin板振动分析的DSC方法[J]. 振动与冲击, 2006, 25(1): 142-145 |
| 作者姓名： | 侯云山 刘宏兵 翟红村 |
| 作者单位： | 1. 湛江师范学院数学与计算科学学院,湛江,524048 2. 武汉理工大学计算机学院,武汉,430070 3. 江南大学理学院,无锡,214036 |
| 摘 要： | 提出了一种离散奇异卷积（DSC：Discrete Singular Convolution）方法来对基于Mindlin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-2Rayleigh-Ritz方法（pb-2指的是atwo-dimensional polynomial function（p-2）and a boundary function（b））的边界函数得到了一种新型的Ritz方法。数值结果表明此方法相当精确有效。 |
| 关 键 词： | Rayleigh-Ritz方法 Mindlin板理论 |
| 收稿时间： | 2004-08-03 |
| 修稿时间： | 2005-10-25 |
DSC METHOD FOR VIBRATION ANALYSIS OF RECTANGULAR MINDLIN PLATES |
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| Hou Yunshan,Liu Hongbing,Zhai Hongcun. DSC METHOD FOR VIBRATION ANALYSIS OF RECTANGULAR MINDLIN PLATES[J]. Journal of Vibration and Shock, 2006, 25(1): 142-145 | |
| Authors: | Hou Yunshan Liu Hongbing Zhai Hongcun |
| Abstract: | A new method is presented for the free vibration analysis of thick rectangular plates based on Mindlin shear deformation theory.The proposed method introduces DSC(Discrete Singular Convolution)delta sequence kernels as basis functions and takes the advantage of the pb-2(pb-2 refers to a two-dimensional polynomial function(p-2) and a boundary function(b))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 results indicate that the(proposed) method is very efficient and accurate.The frequency parameters obtained agree very well with those in the(literature). |
| Keywords: | DSC |
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