An Introduction to the Mathematical Theory of Vibrations of Elastic Plates

Released on by Raymond David Mindlin
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  • An Introduction to the Mathematical Theory of Vibrations of Elastic Plates Book Detail

  • Author : Raymond David Mindlin
  • Release Date : 2006
  • Publisher : World Scientific
  • Genre : Technology & Engineering
  • Pages : 211
  • ISBN 13 : 9812703810
  • File Size : 73,73 MB
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An Introduction to the Mathematical Theory of Vibrations of Elastic Plates by Raymond David Mindlin PDF Summary

Book 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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