ENGLISH

An introduction to the mathematical theory of vibrations of elastic plates

Book information

Publisher
World Scientific
Year
2006
ISBN
9812703810, 9789812703811
Open Library ID
OL9198045M
Language
english
Format
PDF
Filesize
5 MB (5668816 bytes)
Pages
211\211
Topic
Physics Mechanics
Library
Kingdwarf
Time added
2010-01-07 06:59:20

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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