| 矩形Mindlin板振动分析的离散奇异卷积方法 |
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| 引用本文： | 侯云山,苏辉,刘宏兵.矩形Mindlin板振动分析的离散奇异卷积方法[J].信阳师范学院学报(自然科学版),2005,18(4):391-393,496. |
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| 作者姓名： | 侯云山 苏辉 刘宏兵 |
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| 作者单位： | 1. 湛江师范学院,数学与计算科学学院,广东,湛江,524048;信阳师范学院,计算机科学系,河南,信阳,464000
2. 信阳师范学院,计算机科学系,河南,信阳,464000 |
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| 基金项目： | 河南省自然科学基金项目(0411011500) |
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| 摘 要： | 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.
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| 关 键 词： | Rayleigh-Ritz方法 Mindlin板理论 DSC |
| 文章编号： | 1003-0972（2005）04-0391-03 |
| 收稿时间： | 2004-07-05 |
| 修稿时间： | 2004-07-052005-02-24 |
Convolution method for the vibration analysis of rectangular Mindlin plates |
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| HOU Yun-shan,SU Hui,LIU Hong-bing.Convolution method for the vibration analysis of rectangular Mindlin plates[J].Journal of Xinyang Teachers College(Natural Science Edition),2005,18(4):391-393,496. |
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| Authors: | HOU Yun-shan SU Hui LIU Hong-bing |
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| Institution: | 1. School of Mathematics and Computational Science, Zhanjiang Normal College, Zhanjiang 524048, China; 2. Dept. of Computer Sciences, Xinyang Normal University, Xinyang 464000, China |
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| Abstract: | 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 results indicate that the proposed method is very effcient and accurate.The frequency parameters obtained agree very well with those in the literature. |
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| Keywords: | Rayleigh-Ritz method Mindlin plate theory DSC |
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