This book is designed for third to fifth-year undergraduates and postgraduates in mechanical or structural engineering, covering topics suitable for a one- or two-semester course in advanced vibrations and stability. It also serves as a self-study resource for master’s or PhD students, researchers, and professional engineers. The emphasis is on nonlinear phenomena, with coverage of local perturbation analysis, bifurcation analysis, global analysis and chaos theory, and special high-frequency effects. A foundation in nonlinear analysis is established through a summary of elementary linear vibration theory and an in-depth treatment of differential eigenvalue problems. The book includes exercise problems and extensive bibliographic references to support both students and experienced users, alongside major exercises for coursework. Appendices provide information on numerical simulation, standard mathematical formulas, vibration properties of basic structural elements, and properties of engineering materials. This Second Edition has been revised and expanded, incorporating feedback from six years of use as a classroom or self-study text. It features a new chapter, additional appendices, numerous new exercise problems, over 120 updated bibliographic references, and hundreds of minor updates and clarifications.
