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 2005Vol III: Fluid-structure Interactions; to be published in August 2006Vol 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

The modelling of mechanical systems provides engineers and students with the methods to model and understand mechanical systems by using both mathematical and computer-based tools. Written by an eminent authority in the field, this is the second of four volumes which provide engineers with a comprehensive resource on this cornerstone mechanical engineering subject. Dealing with continuous systems, this book covers solid mechanics, beams, plates and shells. In a clear style and with a practical rather than theoretical approach, it shows how to model continuous systems in order to study vibration modes, motion and forces. Appendices give useful primers on aspects of the mathematics introduced in the book. Other volumes in the series cover discrete systems, fluid-structure interaction and flow-induced vibration.*Axisa is a world authority in the modelling of systems*Comprehensive coverage of mathematical techniques used to perform computer-based analytical studies and numerical simulations*A key reference for mechanical engineers, researchers and graduate students in this cornerstone subject

This, the first of a two-volume work, presents the fundamentals of model creation, providing a methodology for the creation of mathematical models at various levels of mechanical phenomena. Examples illustrate the text, taken from the fields of aeronautical, civil and mechanical engineering.

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 * 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

Written by an eminent authority in the field, Modelling of Mechanical Systems: Fluid-Structure Interaction is the third in a series of four self-contained volumes suitable for practitioners, academics and students alike in engineering, physical sciences and applied mechanics. The series skilfully weaves a theoretical and pragmatic approach to modelling mechanical systems and to analysing the responses of these systems. The study of fluid-structure interactions in this third volume covers the coupled dynamics of solids and fluids, restricted to the case of oscillatory motions about a state of static equilibrium. Physical and mathematical aspects of modelling these mechanisms are described in depth and illustrated by numerous worked out exercises.· Written by a world authority in the field in a clear, concise and accessible style · Comprehensive coverage of mathematical techniques used to perform computer-based analytical studies and numerical simulations · A key reference for mechanical engineers, researchers and graduate students