| 矩形板屈曲问题的一个小波解 |
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| 引用本文： | 纪冬梅,轩福贞,涂善东.矩形板屈曲问题的一个小波解[J].应用力学学报,2011,28(1):95-99. |
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| 作者姓名： | 纪冬梅 轩福贞 涂善东 |
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| 作者单位： | 1. 华东理工大学,200237,上海;上海电力学院,200090,上海
2. 华东理工大学,200237,上海 |
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| 摘 要： | 利用Wavelet-Galerkin法分析了四边固支与四边简支矩形板的屈曲问题.以小波作为基函数表示板的挠度,推导出屈曲系数及屈曲模态的计算过程.数值计算给出了不同边长比的矩形板的屈曲系数及屈曲半波数.与传统的三角函数作基函数的Galerkin法及有限元法结果比较,结果表明在一定条件下小波可以作为试函数解决结构力学的屈...
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| 关 键 词： | 矩形板 小波理论应用 高阶屈曲 屈曲模态 半波个数 |
A wavelet solution of high order buckling problem for clamped rectangular plates |
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| Ji Dongmei,Xuan Fuzhen,Tu Shandong.A wavelet solution of high order buckling problem for clamped rectangular plates[J].Chinese Journal of Applied Mechanics,2011,28(1):95-99. |
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| Authors: | Ji Dongmei Xuan Fuzhen Tu Shandong |
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| Institution: | Ji Dongmei1,2 Xuan Fuzhen1 Tu Shandong1 (School of Mechanical and Power Eegineering,East China University of Science and Technology,200237,Shanghai,China)1(Energy Sources and Environment Engineering,Shanghai University of Electric Power,200090,China)2 |
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| Abstract: | In this study Wavelet-Galerkin method is employed to investigate the high order buckling problem of clamped rectangular plates.Wavelet is used as the trial function to express the non-dimensional deflection of the clamped plate.Calculation process is derived to obtain the high order buckling coefficients and buckling modes.The high order buckling coefficients and the number of half wave of buckling mode with different aspect ratios are obtained by numerical calculation.By comparison with the results from ot... |
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| Keywords: | rectangular plate application of wavelet theory high order buckling buckling modes number of half wave |
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