A FREE RECTANGULAR PLATE ON THE TWO-PARAMETER ELASTIC FOUNDATION

This paper provides a rigorous solution of a free rectangular plate on the V.Z. Vlazovtwo-parameter elastic foundation by the method of superposition. In this paper we derivebasic solutions under the various boundary conditions. To superpose these basic solutionsthe most generally rigorous solution of a free rectangular plate on the two-parameter elasticfoundation can be obtained.The solution Strictly satisfies the differential equation of a plateon the two-parameter elastic model foundation. the boundary conditions of the free edgesand the free corner conditions. Some numerical examples are presented The calculatedresults show that when the plane dimension of plate is given and the r(?) between the layerdepth and the plate thick is equal to 15, the two-parameter elastic model is near theWinkler’s. It shows that the Winkler model can be applied to the thinner layer.