Edge function method applied to thin plates resting on Winkler foundation

摘要

The Edge Function method formerly developed by Quinlan isudapplied to solve the problem of thin elastic plates resting on springudsupported foundations subjected to lateral loads the method can beudapplied to plates of any convex polygonal shapes, however, since mostudplates are rectangular in shape, this specific class is investigated inudthis thesis. The method discussed can also be applied easily to otherudkinds of foundation models (e.g. springs connected to each other by audmembrane) as long as the resulting differential equation is linear.udIn chapter VII, solution of a specific problem is compared with a knownudsolution from literature. In chapter VIII, further comparisons are given.udThe problems of concentrated load on an edge and later on a corner of audplate as long as they are far away from other boundaries are also givenudin the chapter and generalized to other loading intensities and/or platesudsprings constants for Poisson's ratio equal to 0.2