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Modelling of Mechanical Systems: Discrete Systems - 1st Edition - ISBN: 9781903996515, 9780080511863

Modelling of Mechanical Systems: Discrete Systems

1st Edition

Author: François Axisa
Paperback ISBN: 9780080973159
Hardcover ISBN: 9781903996515
eBook ISBN: 9780080511863
Imprint: Butterworth-Heinemann
Published Date: 1st November 2003
Page Count: 300
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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

Key Features

  • 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


Mechanical engineers and designers, and specialists in damage mechanics, fluid-structure interaction, vibration effects and applied mechanics

Table of Contents

Chapter 1. Mechanical systems and equilibrium of forces
Chapter 2. Principle of virtual work and Lagrange’s equations
Chapter 3. Hamilton’s Principle and Lagrange’s equations of unconstrained systems
Chapter 4. Constrained systems and Lagrange’s 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


No. of pages:
© Butterworth-Heinemann 2003
1st November 2003
Paperback ISBN:
Hardcover ISBN:
eBook ISBN:

About the Author

François Axisa

François Axisa is Professor of Mechanical Engineering at ENSTA, France, and holds a research post in flow-induced vibration problems at Centre d’Etudes Nucleaires de Saclay, France. He is the author of more than 50 papers on vibrations, damping and associated subjects and has been involved in numerous international conferences and meetings.

Affiliations and Expertise

Professor of Mechanical Engineering at ENSTA, France


‘For this is not just a translation; much has been added, refined and polished, to make this book an excellent addition to anyone’s bookshelf, whose interests lie in Dynamics, Vibrations, or Fluid Structure Interactions.’ Michael Païdoussis, Emeritus Professor in the Department of Mechanical Engineering, McGill University, Canada, in the Journal of Fluids and Structures, 2004

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