Vibration of continuous systems

"Successful vibration analysis of continuous structural elements and systems requires a knowledge of material mechanics, structural mechanics, ordinary and partial differential equations, matrix methods, variational calculus, and integral equations. Fortunately, leading author Singiresu Rao has...

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Bibliographic Details
Main Author: Rao, S. S
Format: Book
Language:English
Published: Hoboken, N.J. Wiley 2007
Subjects:
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Table of Contents:
  • Basic concepts and terminology
  • Vibration of discrete systems : brief review
  • Derivation of equations : equilibrium approach
  • Derivation of equations : variational approach
  • Derivation of equations : integral equation approach
  • Solution procedure : Eigenvalue and modal analysis approach
  • Solution procedure : integral transform methods
  • Transverse vibration of strings
  • Longitudinal vibration of bars
  • Torsional vibration of shafts
  • Transverse vibration of beams
  • Vibration of circular rings and curved beams
  • Vibration of membranes
  • Transverse vibration of plates
  • Vibration of shells
  • Elastic wave propagation
  • Approximate analytical methods
  • Basic equations of elasticity
  • Laplace and Fourier transforms.