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Reduction method with finite-difference approximation for the model of small transverse vibrations in thin elastic plates

Published: 22 July 2010 Publication History

Abstract

The problem of small transverse vibrations in a thin elastic plate of variable thickness with a bending moment and a shearing force on the plate contour is considered. The numerical method for the problem solution is described. It is based on reduction of initial partial differential equation to a system of equations with first-order time derivatives. Some results of numerical simulation for the applied problem are discussed.

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A.A. Kuleshov, Difference approximation of the problem of bending vibrations of a thin elastic plate, Comput. Math. and Math. Phys., Vol.45, No4, 2005, pp. 694-715.
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A.A. Kuleshov, V.V. Mymrin, A.V. Razgulin, Strong convergence of difference approximation in the problem of transverse vibrations of thin elastic plates, Comput. Math. and Math. Phys., Vol.49, No1, 2009, pp. 146-171.
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J.L. Lions and E. Magenes, Nonhomogeneous Boundary Value Problems and Applications, Springer-Verlag, Berlin, Vol. 2, 1972.
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Cited By

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  • (2011)Finite-difference method for the model of small transverse vibrations in thin elastic platesProceedings of the 4th WSEAS international conference on Finite differences - finite elements - finite volumes - boundary elements10.5555/1991116.1991122(19-22)Online publication date: 28-Apr-2011

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cover image Guide Proceedings
EMESEG'10: Proceedings of the 3rd WSEAS international conference on Engineering mechanics, structures, engineering geology
July 2010
562 pages
ISBN:9789604742035

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World Scientific and Engineering Academy and Society (WSEAS)

Stevens Point, Wisconsin, United States

Publication History

Published: 22 July 2010

Author Tags

  1. numerical method and applications
  2. thin elastic plate
  3. transverse vibrations

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View all
  • (2011)Finite-difference method for the model of small transverse vibrations in thin elastic platesProceedings of the 4th WSEAS international conference on Finite differences - finite elements - finite volumes - boundary elements10.5555/1991116.1991122(19-22)Online publication date: 28-Apr-2011

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