Ebook: An introduction to the mathematical theory of vibrations of elastic plates
Author: R. D. Mindlin Jiashi Yang
- Genre: Physics // Mechanics
- Tags: Механика, Строительная механика, Теория пластин и оболочек
- Year: 2006
- Publisher: World Scientific
- City: Hackensack, N.J
- Language: English
- pdf
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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