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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