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)  

Mixed FE-DQM for Free and Forced Vibration, and Buckling Analysis of Rectangular Plates

作　　者：S·A·艾佛特科哈利 A·A·贾法里 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)

机构地区：[1]图斯工业大学机械工程系,帕蒂斯毛拉萨德拉凡纳克,德黑兰,伊朗

出　　处：《应用数学和力学》2012年第1期76-93,共18页Applied Mathematics and Mechanics

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.A very first combined application of finite element method （FEM） and differential quadrature （DQ） method to vibration and buckling problems of rectangular plates was presen- ted. The mixed scheme combines the geometry flexibility of the FEM and high accuracy and ef- ficiency of the DQ method. The accuracy of the proposed method was demonstrated by compa- ring 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.

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 

分 类 号：O241.8[理学—计算数学] TU311.3[理学—数学]