Modelling of Mechanical Systems: Discrete Systems

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; Hamilton's 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