Trigonometric series applied to bending of thin rectangular plates

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Publication Type thesis
School or College College of Science
Department Mathematics
Author Fletcher, Harvey Jr.
Title Trigonometric series applied to bending of thin rectangular plates
Date 1954-03
Description TRIGONOMETRIC SERIES APPLIED TO BENDING OF THIN RECTANGULAR PLATES Harvey Jr. Fletcher From the Department of Mathematics University of Utah In Part I, the sine transform is used to obtain the solution of the problem of a thin rectangular plate on an elastic foundation. A table of inverse sine and cosine transforms is given, with emphasis on inverse transforms of simple rational functions. In Part II, a double sine series is used to solve problems of a rectangular plate which has every edge either clamped, supported, or free. All 81 possible combinations of edge conditions are considered. Considerable attention is given to the role of corner deflections and concentrated loads at corners where two free edges meet .
Type Text
Publisher University of Utah
Dissertation Institution University of Utah
Dissertation Name Doctor of Philosophy
Language eng
Rights Management In the public domain use of this file is allowed in accordance with the Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 United States License, http://creativecommons.org/licenses/by-nc-nd/3.0/us
Format Medium application/pdf
Format Extent 2,748,387 bytes
Identifier etd3/id/2490
Conversion Specifications Original scanned on Epson GT-30000/Epson Expression 836XL as 400 dpi to pdf using ABBYY FineReader 9.0 Professional Edition.
ARK ark:/87278/s625203z
Setname ir_etd
Date Created 2013-10-16
Date Modified 2016-09-22
ID 196066
Reference URL https://collections.lib.utah.edu/ark:/87278/s625203z
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