This book provides a thorough overview on an omnipresent phenomenon - the presentation of mechanical vibrations and methods of analytical investigations. Almost all the problems which concern mechanical vibrations of continuous and discrete systems are described. The concept of natural vibrations illustrated in this work consequently integrates the mathematical methods of solution and the physical nature of the phenomenon. The presentation of self-excited, parametrically excited vibrations and vibrations in inhomogeneous systems are a unique feature of this text. This book together with its companion volume Vibrations and Waves. Part B: Waves provides a wealth of information about dynamical phenomena in different media and fields, which will be of considerable interest to both scientists and graduate students.
This book provides a thorough overview on an omnipresent phenomenon - the presentation of mechanical vibrations and methods of analytical investigations. Almost all the problems which concern mechanical vibrations of continuous and discrete systems are described. The concept of natural vibrations illustrated in this work consequently integrates the mathematical methods of solution and the physical nature of the phenomenon. The presentation of self-excited, parametrically excited vibrations and vibrations in inhomogeneous systems are a unique feature of this text. This book together with its companion volume Vibrations and Waves. Part B: Waves provides a wealth of information about dynamical phenomena in different media and fields, which will be of considerable interest to both scientists and graduate students.
Reihe
Sprache
Verlagsort
Verlagsgruppe
Elsevier Science & Technology
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Maße
ISBN-13
978-0-444-98691-7 (9780444986917)
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Schweitzer Klassifikation
Parts: I. Linear Vibration of Discrete Systems (Z. Dzygadlo). 1. The kinematics of vibration. 2. The vibration of systems with one degree of freedom. 3. Parametric vibrations. 4. Vibration equations for systems with a finite number of degrees of freedom. 5. Principal vibrations of discrete systems. 6. Free vibrations. 7. Forced vibrations. 8. Forced vibrations of a damped system. Application of the Laplace transformation. 9. Vibration control. II. Non-linear Vibrations of Discrete Systems (W. Bogusz). 1. Systems with one degree of freedom. 2. Stability of non-linear systems. 3. Forced vibration. 4. Systems with a finite number of degrees of freedom. III. Vibration of Continuous Engineering Systems (Z. Dzdot;ygadlo, L. Solarz). 1. Vibration equations for engineering systems described by the wave equation. 2. Free vibration of wave systems. 3. Forced vibration of wave systems. 4. Transverse vibration of beams. 5. Torsional-flexural vibrations. 6. Vibration of rotating shafts. 7. Vibrations of one-dimensional systems: self-excited and parametrically excited vibrations. 8. Vibration of membranes. 9. Vibration of plates. 10. Vibration of shells. 11. Non-linear vibrations of continuous engineering systems. 12. Approximate methods. 13. The finite element method. IV. Physical Foundations of the Vibration Theory of Solids (D. Rogula). 1. The crystal structure. 2. Dynamic atomic models. 3. Dynamic matrices of crystal lattices. 4. Construction of models of lattice dynamics. 5. Vibrations of chain models. 6. Vibrations of a three-dimensional lattice. 7. Forced vibrations. 8. Vibrations of imperfect lattices. V. Stochastic Dynamics of Vibratory Systems (K. Sobczyk). 1. Mathematical preliminaries. 2. Random vibrations of discrete systems. 3. Random vibrations of continuous systems. References. Subject Index.
