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Science/Engineering An Introduction to the Mathematical Theory of Vibrations of Elastic Plates (repost)

Posted on 2010-03-16




Name:Science/Engineering An Introduction to the Mathematical Theory of Vibrations of Elastic Plates (repost)
ASIN/ISBN:9812703810
Language:English
File size:4.7 Mb
Publisher: World Scientific Publishing
Publish Date: 2006
ISBN: 9812703810
Pages: 212 pages
File Type: PDF
File Size: 4,7 MB
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R. D. Mindlin, Jiashi Yang, "An Introduction to the Mathematical Theory of Vibrations of Elastic Plates"

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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