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, 1990, 11(12): 1113-1119.
Citation: 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, 1990, 11(12): 1113-1119.

An Efficient Iteration Algorithm of Mixed Boundary/Finite Element Method and Application to Free Torsional Vibration Analysis of Bodies of Revolution

  • Received Date: 1989-11-13
  • Publish Date: 1990-12-15
  • In this paper,the general formulation of a new 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.
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    黄茂光,边界积分方程法求解变截面圆轴扭转振动问题,第三届华东固体力学学术讨论会,安徽,九华山(1988).
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    Graff,K.F.,Wave Motion in Elastic Solid,Oxford University Press(1975),464-470.
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    Richard,J.,Vibrations de torsion d'arbre de section variable,Revue Francaise de Mécanique,44(1972).13-20.
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