Abstract
In this paper an accurate solution for the thick rectangular plate with free edges laid on elastic foundation is presented. The superposition method of trigonometric series is used. The method can solve this kind of plates directly and simply. Its results completely satisfy the boundary conditions of the four free edges and nicely agree with the solutions by Wang Ke-lin and Huang Yi[2].
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Reissner E., The effect to transverse shear deformation of the bending of elastic plates,J. Appl. Mech.,12, 2 (1945), 4-68–4-77.
Wang Ke-lin and Huang Yi, Thick rectangular plates with four free edges on elastic foundations,ACTA Mech. Solida Sinica., 1 (1986) 37–49. (in Chinese)
Wang ke-lin and Huang Yi, Rectangular plates with four free edges on elastic foundations,Com. Stru. Mech. and Appl.,1, 2 (1985), 47–57. (in Chinese)
Friderick D., Thick rectangular plates on an elastic foundation,Tran. of ASCE,122 (1957), 1069–1085.
Timoshenko S. and S. Woinowdy-krieger,Theory of Plates and Shells, McGraw-Hill Book Company, Inc. (1959), 174–188.
Author information
Authors and Affiliations
Additional information
Communicated by Chang Fo-van
Rights and permissions
About this article
Cite this article
Ke-rang, W. Thick rectangular plates with free edges on elastic foundations. Appl Math Mech 11, 869–879 (1990). https://doi.org/10.1007/BF02014353
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02014353