# An Introduction to the Mathematical Theory of Vibrations of Elastic Plates (repost)

#### ISBN: 9812703810

#### Category: Technical

#### Tag: Science/Engineering

Posted on 2009-05-14. By anonymous.

Description

**R. D. Mindlin, Jiashi Yang, "An Introduction to the Mathematical Theory of Vibrations of Elastic Plates"**

World Scientific Publishing | 2006 | ISBN: 9812703810 | 212 pages | PDF | 4,7 MB

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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**An Introduction to the Mathematical Theory of Vibrations of Elastic Plates (repost)**

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