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Finite element analysis of free vibration of liquid-filled axisymmetric tanks

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Abstract

Error bounds are obtained for the finite element analysis of the eigenpairs for the free vibration of liquid-filled axisymmetric tanks, for a circumferential mode numberm=1, antisymmetric. The system of finite element equations concerned is derived by means of Galerkin formulation. Finite element numerical results of the eigenvalue problems for the free vibration of the liquid-filled axisymmetric tanks are compared favorably with the theoretical predictions.

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Authors and Affiliations

  1. Department of Computer Science & Information Mathematics, University of Electro-Communications, 182, Tokyo, Japan

    Fu Rude & Ushijima Teruo

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  1. Fu Rude
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  2. Ushijima Teruo
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Fu, R., Teruo, U. Finite element analysis of free vibration of liquid-filled axisymmetric tanks. Acta Mathematicae Applicatae Sinica 12, 50–58 (1996). https://doi.org/10.1007/BF02009560

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  • DOI: https://doi.org/10.1007/BF02009560

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