DYNAMICS OF ORTHOTROPIC PLATES WITH MIXED BOUNDARY CONDITIONS SUBJECTED TO MOVING DYNAMIC LOADS WITH MULTIPLE SUDDEN CHANGE OF LATERAL POSITIONS

【Author】

S.W.Alisjahbana;W.Wangsadinata;

【Abstract】

<正>In this paper the dynamic response analysis of orthotropic rectangular plates subjected to moving dynamic loads with multiple sudden changes of lateral positions is investigated.The orthotropic plate has mixed boundary conditions that is widely faced in engineering applications,but has not been widely addressed to in the literature,partially due to the numerical difficulties.The orthotropic plate is supported by a Pasternak foundation.This type of elastic foundation model is introduced to accommodate shear interactions between the spring elements.The plate's natural frequencies are presented in a form analogous to those of a simply supported plate as wave numbers.These wave numbers are determined from a system of two transcendental equations,obtained from the solution of two auxiliary Levy's type problems,also known as the Modified Bolotin Method.The multiple sudden lateral position change of the moving dynamic load is expressed by the Heaviside generalized function.The homogeneous solution of the problem can be solved by a method of separation of variables.The procedure comprises the derivation of a sequence of solutions of separable form,in such a way that superposition yields a solution satisfying the boundary conditions.The dynamic response of the plate is expressed in integral form that is readily to be solved by using the Duhamel integration method.A numerical example is given,demonstrating the applicability of the theory to orthotropic plates with mixed boundary conditions under a multiple sudden lateral position change of a moving dynamic load.

【Keywords】

orthotropic plate;;mixed boundary condition;;Pasternak foundation;;Modified Bolotin Method;;Duhamel integration method.

References

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Springer Journals Database

Total: 6 articles

  • [1] K.N. Saha;;R.C. Kar;;P.K. Datta, Dynamic stability of a rectangular plate on non-homogeneous winkler foundation, Computers and Structures,
  • [2] Alisjahbana,S.W;Wangsadinata,W, Dynamic Response of Rectangular Orthotropic Plate Supported by Pasternak Foundation Subjected to Dynamic Load, The 1~ (st) International Structural Specialty Conference,
  • [3] Alisjahbana,S.W;Wangsadinata,W, Dynamic Response of Rigid Roadway Pavements, The 3~ (rd) International Conference on Construction Materials:Performance,Innovations and Structural Implications,
  • [4] Gbadeyan,J.A;Oni,S.T, Dynamic response to moving concentrated masses of elastic plates on a non-winkler elastic foundation, Journal of Sound and Vibration, Journal of Sound and Vibration (Journal of Sound and Vibration)

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