Modelling of mechanical systems

• Κύριος συγγραφέας: Axisa, Franπcois 1941-
• Συγγραφή απο Οργανισμό/Αρχή: ScienceDirect (Online service)
• Μορφή: Ηλεκτρονική πηγή Βιβλίο
• Γλώσσα: English
• Έκδοση: London Sterling, VA Kogan Page Science 2004-
• Θέματα: Μηχανική, Εφαρμοσμένη; Discrete-time systems; Συστήματα

 This first volume is concerned with discrete systems the study of which constitutes the cornerstone of all mechanical systems, linear or non-linear. It covers the formulation of equations of motion and the systematic study of free and forced vibrations. The book goes into detail about subjects such as generalized coordinates and kinematical conditions; Hamiltons principle and Lagrange equations; linear algebra in N-dimensional linear spaces and the orthogonal basis of natural modes of vibration of conservative systems. Also included are the Laplace transform and forced responses of linear dynamical systems, the Fourier transform and spectral analysis of excitation and response deterministic signals. Forthcoming volumes in this series: Vol II: Structural Elements; to be published in June 2005 Vol III: Fluid-structure Interactions; to be published in August 2006 Vol IV: Flow-induced Vibrations; to be published in August 2007 * Presents the general methods that provide a unified framework to model mathematically mechanical systems of interest to the engineer, analyzing the response of these systems * Focuses on linear problems, but includes some aspects of non-linear configuration * Comprehensive coverage of mathematical techniques used to perform computer-based analytical studies and numerical simulations * Discusses the mathematical techniques used to perform analytical studies and numerical simulations on the computer 

 Chapter 1. Mechanical systems and equilibrium of forces -- Chapter 2. Principle of virtual work and Lagranges equations -- Chapter 3. Hamiltons Principle and Lagranges equations of unconstrained systems -- Chapter 4. Constrained systems and Lagranges undetermined multipliers -- Chapter 5. Autonomous oscillators -- Chapter 6. Multi-degree-of-freedom systems: natural modes of vibration -- Chapter 7. Forced vibration: response to transient excitations -- Chapter 8. Spectral analysis of deterministic time signals -- Chapter 9. Spectral analysis of forced vibrations