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Mixed finite element and differential quadrature method for free and forced vibration and buckling analysis of rectangular plates 被引量:6

Mixed finite element and differential quadrature method for free and forced vibration and buckling analysis of rectangular plates
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摘要 This paper presents a combined application of the finite element method (FEM) and the differential quadrature method (DQM) to vibration and buckling problems of rectangular plates. The proposed scheme combines the geometry flexibility of the FEM and the high accuracy and efficiency of the DQM. The accuracy of the present method is demonstrated by comparing the obtained results with those available in the literature. It is shown that highly accurate results can be obtained by 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. This paper presents a combined application of the finite element method (FEM) and the differential quadrature method (DQM) to vibration and buckling problems of rectangular plates. The proposed scheme combines the geometry flexibility of the FEM and the high accuracy and efficiency of the DQM. The accuracy of the present method is demonstrated by comparing the obtained results with those available in the literature. It is shown that highly accurate results can be obtained by 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.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2012年第1期81-98,共18页 应用数学和力学(英文版)
关键词 finite element method (FEM) differential quadrature method (DQM) rectangular plate free and forced vibration buckling analysis finite element method (FEM), differential quadrature method (DQM) rectangular plate, free and forced vibration, buckling analysis
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