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 the...

Full description

Saved in:
Bibliographic Details
Main Authors Mindlin, Raymond D, Yang, Jiashi
Format eBook
LanguageEnglish
Published World Scientific Publishing Co. Pte. Ltd 2006
World Scientific Publishing
Subjects
Elastic plates and shells
Nonlinear theories
Vibrations
Online AccessGet full text

Cover

More Information
Summary: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.
ISBN:9789812703811
9812703810
DOI:10.1142/6309