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A thorough treatment of vibration theory and its engineering applications, from simple degree to multi degree-of-freedom system. Salient Features Focuses on the physical aspects of the mathematical concepts necessary to describe the vibration phenomena. Provides many example applications, including typical problems faced by practicing engineers. MATLAB… has been introduced where appropriate to take advantage of this industry-standard software for necessary calculations. Mass and stiffness matrices are now defined alongside the discussion of normal mode vibrations, free vibrations, forced vibrations, absorbers, and dampers (Ch. 5). FORTRAN computations have been replaced by MATLAB. FORTRAN plotting has been replaced by MATLAB plotting. Introduction to Finite Element Methods (Ch. 10) now does computations completely in MATLAB. The section on generalized force proportional to displacement has been substantially expanded by detailed computation of rotating helicopter blades. Problem sets have been added throughout.