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