| 线性变厚度矩形薄板自由振动的精确解 |
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| 引用本文： | 王忠民,冯振宇.线性变厚度矩形薄板自由振动的精确解[J].应用力学学报,1997,14(2):114-120. |
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| 作者姓名： | 王忠民 冯振宇 |
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| 作者单位： | 西安理工大学(王忠民)，西安公路交通大学(冯振宇) |
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| 摘 要： | 基于小挠度薄板理论，采用Ｌｅｒｙ法结合Ｆｒｏｂｅｎｉｕｓ法构造的幂级数解，得到了两对边简支另两对边为ＳＳ、ＣＳ、ＦＦ支承的三种线性变厚度矩形薄板的自振频率随板的边长比及厚度比变化的精确解及其振型函数的解析表达式。
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| 关 键 词： | 线性变厚度板 自由振动 |
Exact Solutions for the Free Vibration of Rectangular Plates with Linearly Varying Thickness |
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| Wang Zhongmin,Feng Zhenyu.Exact Solutions for the Free Vibration of Rectangular Plates with Linearly Varying Thickness[J].Chinese Journal of Applied Mechanics,1997,14(2):114-120. |
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| Authors: | Wang Zhongmin Feng Zhenyu |
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| Abstract: | Based on the theory of small deflection plates, exact solutions for natural frequency of rectangular plates with linearly varying thickness in the x direction, two opposite edges parallel to the x axis simply supported and very general conditions on other opposite edges are calculated by the Levy type solution and a power series employing the method of Frobenius. The effect of aspect ratio and thickness parameter on the natural frequency are investigated. In addition, the eigenfunction of plate with linearly varying thickness is also obtained. |
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| Keywords: | plate with linearly varying thickness free vibration |
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