Selected Topics in Vibrational Mechanics

Book excerpt: Vibrational mechanics is a new, intensively developing section of nonlinear dynamics and of the theory of nonlinear oscillations. It presents a general approach to the study of the effects of vibration on nonlinear systems. This approach is characterized by simplicity of application and by physical clearness. In recent years a number of new, essential results have been obtained both on the development of the mathematical apparatus of vibrational mechanics and on the solution of certain applied problems. This book reflects those results through the ingenious presentation of the authors OCo well-known scientists from Germany, Denmark and Russia. For the convenience of readers, the main content is preceded by a brief description of the main theses of vibrational mechanics. Contents: The Basis of Vibrational Mechanics; Pendulum and Pendulum Systems under High-Frequency Excitation OCo Non-Trivial Effects; Problems of the Theory of Selfsynchronization; Problems of Creating Dynamic Materials; Vibrational Hydrodynamics and Hydraulics; Some Mathematical Supplements and Generalizations. Readership: Researchers in theoretical and applied mechanics, nonlinear dynamics and nonlinear oscillation theory, as well as mathematicians."