An introduction to the mathematical theory of vibrations of elastic plates /

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Bibliographic Details
Author / Creator:Mindlin, Raymond D. (Raymond David), 1906-1987.
Imprint:Hackensack, N.J. : World Scientific, ©2006.
Description:1 online resource (xix, 190 pages) : illustrations
Language:English
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11201493
Hidden Bibliographic Details
Other authors / contributors:Yang, Jiashi, 1956-
ISBN:9789812772497
9812772499
1281373230
9781281373236
9812703810
9789812703811
9786611373238
6611373233
Notes:Includes bibliographical references (pages 175-180) and index.
English.
Print version record.
Summary:This book by the late R D Mindlin is destined to become a classic introduction to the mathematical aspects of two-dimensional theories of elastic plates. It systematically derives the two-dimensional theories of anisotropic elastic plates from the variational formulation of the three-dimensional theory of elasticity by power series expansions. The uniqueness of two-dimensional problems is also examined from the variational viewpoint. The accuracy of the two-dimensional equations is judged by comparing the dispersion relations of the waves that the two-dimensional theories can describe with prediction from the three-dimensional theory. Discussing mainly high-frequency dynamic problems, it is also useful in traditional applications in structural engineering as well as provides the theoretical foundation for acoustic wave devices.
Other form:Print version: Mindlin, Raymond D. (Raymond David), 1906-1987. Introduction to the mathematical theory of vibrations of elastic plates. Hackensack, N.J. : World Scientific, ©2006