| 矩形平板自由和强迫振动以及屈曲的有限元-微分求积混合法(FE-DQM) |
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| 引用本文： | S·A·艾佛特科哈利,A·A·贾法里,黄锋.矩形平板自由和强迫振动以及屈曲的有限元-微分求积混合法(FE-DQM)[J].应用数学和力学,2012,33(1):76-93. |
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| 作者姓名： | S·A·艾佛特科哈利 A·A·贾法里 黄锋 |
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| 作者单位： | 图斯工业大学机械工程系,19395-1999信箱,帕蒂斯毛拉萨德拉凡纳克,德黑兰,伊朗 |
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| 摘 要： | 首次提出有限元法(FEM)和微分求积法(DQM)的组合应用,分析矩形平板的振动和屈曲问题.混合法综合了FEM几何适应性强,以及DQM的高精度和高效率.与已有文献的计算结果比较,验证了该方法的正确性.研究表明,使用少量的有限单元和不多的DQM样本点,就可以得到高精度的结果.由于该方法简单且具备进一步发展的潜力,被认为适用于这类问题的求解.
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| 关 键 词： | 有限元法(FEM) 微分求积法(DQM) 矩形平板 自由振动和强迫振动 屈曲分析 |
Mixed FE-DQM for Free and Forced Vibration,and Buckling Analysis of Rectangular Plates |
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| Institution: | S.A.Eftekhari,A.A.Jafari(Mechanical Engineering Department,K.N.Toosi University of Technology, Pardis St.,Molasadra Ave.,Vanak Sq.,P.O.Box 19395-1999,Tehran,Iran) |
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| Abstract: | A very first combined application of finite element method(FEM) and differential quadrature(DQ) method to vibration and buckling problems of rectangular plates was presented.The mixed scheme combines the geometry flexibility of the FEM and high accuracy and efficiency of the DQ method.The accuracy of the proposed method was demonstrated by comparing the calculated results with those available in the literature.It is shown that highly accurate results can be obtained using a small number of finite elements and DQM sample points.The proposed method is suitable for the problems considered due to its simplicity and potential for further development. |
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| Keywords: | FEM DQ method rectangular plates free and forced vibration buckling analysis |
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