08-08-2014, 06:16 PM
(This post was last modified: 08-09-2014, 10:22 AM by Dell_Brett.)
An Introduction to the Mathematical Theory of Vibrations of Elastic Plates
Author: R. D. Mindlin, Jiashi Yang | Size: 5 MB | Format: PDF | Quality: Unspecified | Publisher: Kingdwarf | Year: 2007 | pages: 212 | ISBN: 9812703810
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 devic
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