| 等腰三角形Mindlin板的自由振动分析 |
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| 引用本文： | 侯云山,金勇,武津刚.等腰三角形Mindlin板的自由振动分析[J].数学的实践与认识,2005,35(2):124-128. |
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| 作者姓名： | 侯云山 金勇 武津刚 |
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| 作者单位： | 1. 信阳师范学院计算机系,河南,信阳,464000
2. 河南大学计算机系,河南,开封,475000 |
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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： | 提出了一种新方法来对基于 Mindlin剪切变形理论的等腰三角形板进行自由振动分析 .此方法采用了一种新的基函数并利用 pb-2 Rayleigh-Ritz边界函数得到了一种新型的 Ritz方法 .这种方法的有效性通过收敛性和对比性分析得到了证实 .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 自由振动 |
| 修稿时间： | 2004年3月9日 |
Free Vibration of Triangular Mindlin Plates |
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| HOU Yun-shan,JIN Yong,WU Jin-gang.Free Vibration of Triangular Mindlin Plates[J].Mathematics in Practice and Theory,2005,35(2):124-128. |
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| Authors: | HOU Yun-shan JIN Yong WU Jin-gang |
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| Institution: | HOU Yun-shan1,JIN Yong2,WU Jin-gang1 |
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| Abstract: | This paper introduces a new method for the free vibration analysis of thick isosceles triangular plates based on Mindlin shear deformation theory. The proposed method introduced a new basis function and takes the advantage of the pb-2 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 a very efficient and accurate new method for vibration analysis of Mindlin plates. The frequency parameters obtained agree very well with those in the literature. |
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| Keywords: | ritz method mindlin plate theory free vibration |
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