弹性地基上自由边矩形厚板

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Thick Rectangular Plates with Free Edges on Elastic Foundations

摘要: 弹性地基上自由边矩形厚板的分栀由于其难度较大,一直没有得到很好的解决.本文采用单三角级数和重三角级数相叠加的方法,求得该问题的精确解.文中所用方法简单明了.所得结果完全满足边界条件并与王克林等^[2]的结果完全一致.
- 弹性地基 /
- 文克勒假定 /
- 厚板
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.
- elastic foundation /
- Winkler’s assumption /
- thick plate

[1]	Reissner, E.,The effect of transverse shear deformation of the bending of elastic plates, J, Appl,, Mech.,12, 2. (1945), 4-68-77.
[2]	王克林、黄义,弹性地基上四边自由的矩形厚板,固体力学学报,1(1986),37-49.
[3]	王克林、黄义,弹性地基上四边自由矩形板,计算结构力学及其应用,2, 2(1985),47-67.
[4]	Friderick,D.,Thick rectangular plates on an elastic foundation,Transactions of ASCE, 112(1957), 1069-1085.
[5]	S.铁摩辛柯、S.沃诺斯基,《板壳理论》,科学出版社(1977), 174-188.