TABLE OF CONTENTS This important new series of four volumes has been written by an eminent authority in the field, and is suitable for practitioners, academics and students alike. The series presents the general methods that provide a unified framework to model mathematically mechanical systems of interest to the engineer, analysing the response of these systems. Whilst focusing on linear problems, non-linear problems are also included. A significant feature of the books is the treatment of the mathematical techniques used to perform analytical studies and numerical simulations. Fran ois Axisa writes in a clear, concise and accessible style, often from a practical rather than a theoretical standpoint, providing a thorough insight into the physical and mathematical aspects of modelling, and emphasizing essential aspects of the subject of most use in mechanical engineering.
The study of discrete systems constitutes the cornerstone of all mechanical systems, linear or non-linear. This volume covers the formulation of the equations of motion and a systematic study of free and forced vibration of discrete systems. The book explores analysis techniques using 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 for deterministic signals.
The focus in volume II is on flexible solids and in particular on the elastodynamic models...
