WSPC - INTRO MATH THEO VIBRS ELASTIC PLATES
INTRODUCTION TO THE MATHEMATICAL THEORY OF VIBRATIONS OF ELASTIC PLATES, AN - BY R D MINDLIN
Organization: | WSPC |
Publication Date: | 29 December 2006 |
Status: | active |
Page Count: | 211 |
scope:
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.