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Edge function method applied to thin plates resting on Winkler foundation


Lam, Ignatius Po-cheung (1976) Edge function method applied to thin plates resting on Winkler foundation. Engineer's thesis, California Institute of Technology. doi:10.7907/RCTX-T347.


The Edge Function method formerly developed by Quinlan(25) is applied to solve the problem of thin elastic plates resting on spring supported foundations subjected to lateral loads the method can be applied to plates of any convex polygonal shapes, however, since most plates are rectangular in shape, this specific class is investigated in this thesis. The method discussed can also be applied easily to other kinds of foundation models (e.g. springs connected to each other by a membrane) as long as the resulting differential equation is linear. In chapter VII, solution of a specific problem is compared with a known solution from literature. In chapter VIII, further comparisons are given. The problems of concentrated load on an edge and later on a corner of a plate as long as they are far away from other boundaries are also given in the chapter and generalized to other loading intensities and/or plates springs constants for Poisson's ratio equal to 0.2

Item Type:Thesis (Engineer's thesis)
Subject Keywords:Civil Engineering
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Civil Engineering
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Scott, Ronald F. (advisor)
  • Housner, George W. (co-advisor)
Thesis Committee:
  • Unknown, Unknown
Defense Date:19 December 1975
Record Number:CaltechTHESIS:05072014-145934552
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8223
Deposited By: Benjamin Perez
Deposited On:07 May 2014 22:37
Last Modified:09 Nov 2022 19:20

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