JIASHI YANG (EN) — INTRODUCTION TO THE MATHEMATICAL THEORY OF VIBRATIONS OF ELASTIC PLATES, AN – BY R D MINDLIN

INTRODUCTION TO THE MATHEMATICAL THEORY OF VIBRATIONS OF ELASTIC PLATES, AN – BY R D MINDLIN краткое содержание

INTRODUCTION TO THE MATHEMATICAL THEORY OF VIBRATIONS OF ELASTIC PLATES, AN – BY R D MINDLIN - описание и краткое содержание, автор JIASHI YANG (EN), читать бесплатно онлайн на сайте электронной библиотеки Lib-King.Ru.

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.Contents:Elements of the Linear Theory of ElasticitySolutions of the Three-Dimensional EquationsInfinite Power Series of Two-Dimensional EquationsZero-Order ApproximationFirst-Order ApproximationIntermediate ApproximationsReadership: Researchers in mechanics, civil and mechanical engineering and applied mathematics.