This is a thorough treatment of vibration theory and its engineering applications - from simple single degree of freedom systems to multidegree of freedom systems. It focuses on the physical aspects of the mathematical concepts necessary to describe vibration phenomena and provides many example applications to typical problems faced by practising engineers. The new edition adds a chapter on computer methods with an accompanying disk containing four basic FORTRAN programs and problems. It includes a section on suspension bridges to illustrate the application of the continuous systems theory to simplified models for the calculation of natural frequencies. The section on generalized force proportional to displacement has been expanded to include a detailed computation of rotating helicopter blades. The text now covers the method of assumed modes and provides an example of static condensation for pinned joints.