ENGLISH

Introduction to the Mathematical Theory of Vibrations of Elastic Plates

By Jiashi Yang , R. D. Mindlin

Book information

Publisher
WS
Year
2006
ISBN
9812703810, 9789812703811
Open Library ID
OL9198045M
Language
english
Format
DJVU
Filesize
1 MB (1152429 bytes)
Pages
211\211
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2010-07-29 05:14:56

Description

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.

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