An Introduction to the Mathematical Theory of Vibrations of Elastic Plates, an - by R D Mindlin

An Introduction to the Mathematical Theory of Vibrations of Elastic Plates, an - by R D Mindlin

By: Raymond D. Mindlin (author), Jiashi Yang (author)Hardback

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Description

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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Contents

Elements of the Linear Theory of Elasticity; Solutions of the Three-Dimensional Equations; Infinite Power Series of Two-Dimensional Equations; Zero-Order Approximation; First-Order Approximation; Intermediate Approximations.

Product Details

  • publication date: 05/01/2007
  • ISBN13: 9789812703811
  • Format: Hardback
  • Number Of Pages: 212
  • ID: 9789812703811
  • weight: 503
  • ISBN10: 9812703810

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