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AN EFFICIENT ITERATION ALGORITHM OF MIXED BOUNDARY/FINITE ELEMENT METHOD AND APPLICATION TO FREE TORSIONAL VIBRATION ANALYSIS OF BODIES OF REVOLUTION
作者姓名:王秀喜  陈锋  钱江
作者单位:University of Science and Technology of China,Hefei
基金项目:National Natural Science Foundation of China
摘    要:In this paper,the general formulation of a new proposed iteration algorithm of mixedBEM/FEM for eigenvalue problems of elastodynamics is described.Approximatefundamental solutions of elastodynamics are adopted in the normal mixed BEM/FEMequations.The accuracy of solutions is progressively improved by the iteration procedure.Not only could the awkwar dness of non-algebraic eigenvalue equations be avoided but alsothe accuracy of numerical solutions is almost independent of the interior meshing.All thesegive many advantages in numerical calculation.The algorithm is applied to free torsionalvibration analysis of bodies of revolution.A few cases are studied.All of the numericalresults are very good.

收稿时间:13 November 1989

An efficient iteration algorithm of mixed boundary/finite element method and application to free torsional vibration analysis of bodies of revolution
Wang Xiu-xi,Chen Feng,Qian Jiang.AN EFFICIENT ITERATION ALGORITHM OF MIXED BOUNDARY/FINITE ELEMENT METHOD AND APPLICATION TO FREE TORSIONAL VIBRATION ANALYSIS OF BODIES OF REVOLUTION[J].Applied Mathematics and Mechanics(English Edition),1990,11(12):1187-1194.
Authors:Wang Xiu-xi  Chen Feng  Qian Jiang
Institution:(1) University of Science and Technology of China, Hefei
Abstract:In this paper, the general formulation of anew proposed iteration algorithm of mixed BEM/FEM for eigenvalue problems of elastodynamics is described. Approximate fundamental solutions of elastodynamics are adopted in the normal mixed BEM/FEM equations. The accuracy of solutions is progressively improved by the iteration procedure. Not only could the awkwardness of non-algebraic eigenvalue equations be avoided but also the accuracy of numerical solutions is almost independent of the interior meshing. All these give many advantages in numerical calculation. The algorithm is applied to free torsional vibration analysis of bodies of revolution. A few cases are studied. All of the numerical results are very good.
Keywords:mixed BEM/FEM formulation  iteration  free vibration  bodies of revolution
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