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An introduction to the mathematical theory of vibrations of elastic plates PDF

211 Pages·2006·5.406 MB·English
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by R. D. Mindlin, Jiashi Yang| 2006| 211 pages| 5.406| English

About 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.

Detailed Information

Author:R. D. Mindlin, Jiashi Yang
Publication Year:2006
ISBN:9789812703811
Pages:211
Language:English
File Size:5.406
Format:PDF
Price:FREE
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