| 矩形厚板的自由振动分析 |
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| 引用本文： | 侯云山,刘宏兵,武津刚.矩形厚板的自由振动分析[J].数学的实践与认识,2005,35(3):126-130. |
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| 作者姓名： | 侯云山 刘宏兵 武津刚 |
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| 作者单位： | 信阳师范学院,河南,信阳,464000 |
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| 基金项目： | 河南省自然科学基金项目 (0 41 1 0 1 1 5 0 0 ) |
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| 摘 要： | 出了一种新方法来对基于 Mindlin剪切变形理论的矩形厚板进行自由振动分析 .此方法采用了一种新的基函数并结合 pb-2 Rayleigh-Ritz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 .
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| 关 键 词： | Ritz方法 Mindlin板理论 简支边界 |
| 修稿时间： | 2004年3月8日 |
Free Vibration of Thick Rectangular Plates |
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| HOU Yun-shan,LIU Hong-bing,WU Jin-gang.Free Vibration of Thick Rectangular Plates[J].Mathematics in Practice and Theory,2005,35(3):126-130. |
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| Authors: | HOU Yun-shan LIU Hong-bing WU Jin-gang |
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| Abstract: | This paper introduces a new method for the free vibration analysis of thick rectangular plates based on Mindlin shear deformation theory. The proposed method introduced a new basis function 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 efficient and accurate. The frequency parameters obtained agree very well with those in the literature. |
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| Keywords: | ritz method mindlin plate theory simply-supported boundary condition |
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