Vibration of continuous systems / Singiresu S. Rao.

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.