On the thick plate problem (first report)
K. Hata · Hokkaido University Collection of Scholarly and Academic Papers (Hokkaido University) · 1953
On the Thiek Dlate Problem.429 going to diseuss in. the seope of the theory of the first order, distinct differences eould not be ￡ound.,bet,weenplate anct column.Hence,even if solutions for moderately th.ick or'.thick plate are.not three-dimenslonal in a strict sense and so contain some appz'oximaeions, it wo,uld be unreasonable and too severe' to say that approximations of this .klndincluded herein wou!d be unfavourable.When we observe the process of ealculation to･obtain the solutions, Tegardless of the 1 treated the thick plate problem starting with the equations of equilibrium expressed in terms of displacements and positional coordinates and so dispensed with the eonditions of compatibility, but they did not state in detail the manney in which the boundary conditions are sufliced.We shall discuss their results and method at a later date.At any rate their method is very suggestive.By the way Eric Reissner and others have solved the so-called thick plate problem using a method differing from those in common use, Then method is very instructive but its order of accuracy seems to be not so high, though the reason for it, being obvious, may not be stated here.The treatment of the problem by this approaeh is not attempted in this paper, The following treatment depends principally upon the contents of the paragraphs ranging from g299 to ge311, i.e., Chap'ter XXII, of the book by A. E. H. Love.The present author adopts nota-･ tlons as ma'ny as possible used in Love's bool< suitable and therefore no detailed aecount of denotations which are in common use or referab}e to this book will be given but, jf necessaxy, they wM be explained without fail.Any historical statement about the researehes in the