Modelling of Mechanical Systems: Discrete Systems, Vol. 1
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...
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The first in a four-volume, self-contained textbook for engineering and physical science students studying structural mechanics and fluid- structure coupled systems at the graduate level. The other three cover the basic structural elements beams, plates, and shells; fluid- structure interaction in the absence of permanent flow; and flow- induced vibration. Distributed by Stylus. Annotation © 2004 Book News, Inc., Portland, OR
ForewordPrefaceIntroductionCh. 1Mechanical systems and equilibrium of forces1Ch. 2Principle of virtual work and Lagrange's equations39Ch. 3Hamilton's principle and Lagrange's equations of unconstrained systems79Ch. 4Constrained systems and Lagrange's undetermined multipliers111Ch. 5Autonomous oscillators139Ch. 6Natural modes of vibration of multi degree of freedom systems191Ch. 7Forced vibrations: response to transient excitations239Ch. 8Spectral analysis of deterministic time signals295Ch. 9Spectral analysis of forced vibrations341App. 1Vector spaces383App. 2Vector and multiple products of vectors389App. 3Euler's angles and kinetic energy of rotating bodies390App. 4Hermitian and symmetrical matrices394App. 5Crout's and Choleski's decomposition of a matrix398App. 6Some basic notions about distributions402App. 7Laplace transformation409App. 8Modal computation by an inverse iteration method414Bibliography419Index425Series synopsis: modelling of mechanical systems435
\ From the Publisher“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\ “I feel sure that this work by François Axisa will reward those who study it with new and unusual insights into the fascinating and notoriously difficult-to-master subject of predicting and controlling the vibration properties of the complex practical structures encountered across a wide range of engineering sectors.”\ — D.J. Ewins, Professor of Vibration Engineering in the Department of Mechanical Engineering, Imperial College London, UK\ \ \
