| 变厚度矩形薄板的屈曲和自由振动问题 |
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| 引用本文： | 李景高,牛忠荣.变厚度矩形薄板的屈曲和自由振动问题[J].安徽建筑工业学院学报,1995(1). |
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| 作者姓名： | 李景高 牛忠荣 |
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| 作者单位： | 合肥工业大学 |
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| 摘 要： | 本文用单三角级数把单向变厚度矩形板的屈曲和自由振动控制方程化为常微分方程特征值问题，转而采用ＣＤＥ求解器──插值矩阵法获解。本法求解简便、精度高。
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| 关 键 词： | 薄板，变厚度，屈曲，自由振动，插值矩阵法 |
BUCKLING AND FREE-VIBRATION PROBLEMS OF THIN RECTANGULAR PLATES WITH THICKNESS VARIATION |
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| Li Jinggao, Niu Zhongrong.BUCKLING AND FREE-VIBRATION PROBLEMS OF THIN RECTANGULAR PLATES WITH THICKNESS VARIATION[J].Journal of Anhui Institute of Architecture(Natural Science),1995(1). |
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| Authors: | Li Jinggao Niu Zhongrong |
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| Affiliation: | Li Jinggao; Niu Zhongrong |
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| Abstract: | In this paper, the governing differential equations of buckling and free -vibration of the thin rectangular plates with variable thickness are transformed to the eigenvalue problems of ordinary differential equations with one Fourier series,and therefore are solved by an ODE solver-interpolating matrix method. The suggested method is easy in use and of high accuracy. |
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| Keywords: | Kirchhoff's plate variable thickness buckling free - vibration interpolating matrix method |
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