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
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 created Vibration of Continuous Systems, a new book that provides engineers, researchers, and students with everything they need to know about analytical methods of vibration analysis of continuous structural systems