| 单向板自由振动分析的功的互等定理法 |
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| 引用本文： | 李欣业,郑惠苹.单向板自由振动分析的功的互等定理法[J].河北科技大学学报,1999,20(4):75-80. |
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| 作者姓名： | 李欣业 郑惠苹 |
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| 作者单位： | 1. 河北工业大学动力系,天津,300130
2. 河北科技大学机械科学与工程系 |
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| 摘 要： | 利用单向板挠曲面微分方程和振型方程在数学上及力学上的相似性，提出了分析单向板自由振动的功的互等定理法。通过设定满足位移边界条件的振型函数，利用此法求解了几种常见约束下单向板自由振动的固有频率，所得结果与已有结果完全一致。
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| 关 键 词： | 单向板 自动振动 功的互等定理 |
| 修稿时间： | 1998-07-12 |
The Analysis of Free Vibration of Undretional Plate by Reciprocal Theorem |
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| LI Xinye,ZHENG Huiping.The Analysis of Free Vibration of Undretional Plate by Reciprocal Theorem[J].Journal of Hebei University of Science and Technology,1999,20(4):75-80. |
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| Authors: | LI Xinye ZHENG Huiping |
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| Abstract: | Based on the resemblance of deflection equation with free vibration equation,the reciprocal theory can be applied to the analysis of free vibration of unidirectional plate,and through which we can easily get the inherent frequency of unidirectional plate with different boundry supporting after assuming the form of free vibration.The results indicate the method is valid and reliable. |
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| Keywords: | unidirectional plate free vibration the reciprocal theory |
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