Forced Vibrations in Systems Having One Degree or Two Degrees of Freedom --; Vibrations in Lattices --; Gyroscopic Coupling and Its Applications --; Stability of Systems Governed by the Linear Approximation --; The Stability of Operation of Non-Conservative Mechanical Systems --; Vibrations of Elastic Solids --; Modal Analysis and Vibrations of Structures --; Synchronisation Theory --; Stability of a Column Under Compression --; Mathieu's Equation --; The Method of Amplitude Variation and Its Applications Coupled Oscillators --; Rotating Machinery --; Non-Linear Waves and Solitons --; References --; Subject Index.
SUMMARY OR ABSTRACT
Text of Note
This book investigates linear and non linear vibration phenomena in discrete and continuous structures with emphasis on the methods provided by mathematical analysis and their applications to concrete examples in mechanical engineering. Efforts have been made ensure a clear understanding of the basic ideas related to coupling and resonance effects, modal analysis, stability or instability criteria, rotating machinery, and wave interaction mechanism. The book is suitable for students and researchers in mechanics and mechanical engineering. From the reviews: ... Not only is this book concerned with known problems, but it also presents some original results and new and fruitful interpretations for several theories. The theoretical part of each chapter is illustrated by numerous very well-chosen examples of application, which are of great interest in theory, designing and mechanical engineering. Mathematical Reviews #1.