Overview

Dealing with fundamental problems, concepts, and methods of multiparameter stability theory with applications in mechanics, this book presents: achievements and knowledge of bifurcation theory; sensitivity analysis of stability characteristics; general aspects of nonconservative stability problems; analysis of singularities of boundaries for the stability domains; stability analysis of multiparameter linear periodic systems; and optimization of structures under stability constraints. Systems with finite degrees of freedom and with continuous models are both considered. The book combines mathematical foundation with interesting classical and modern mechanical problems. A number of mechanical problems illustrating how bifurcations and singularities change the behavior of systems and lead to new physical phenomena are discussed. Among these problems, the authors consider systems of rotating bodies, tubes conveying fluid, elastic columns under the action of periodic and follower forces, optimization problems for conservative systems and more. The methods presented are constructive and easy to implement in computer programs. This book is addressed to graduate students, academics, researchers, and practitioners in aerospace, naval, civil, and mechanical engineering. No special background is needed; just a basic knowledge of mathematics and mechanics.

Full Product Details

Author:   Alexei A Mailybaev (Inst Nacional De Matematica Pura E Aplicada, Brazil) ,  Alexander P Seyranian (Lomonosov Moscow State Univ, Russia)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   13
Dimensions:   Width: 16.20cm , Height: 2.60cm , Length: 23.40cm
Weight:   0.717kg
ISBN:  

9789812384065

ISBN 10:   9812384065
Pages:   420
Publication Date:   05 January 2004
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

Fundamentals of Stability Theory; Bifurcation Analysis of Eigenvalues; Stability Boundary of a General System Depending on Parameters; Bifurcation Analysis of Roots and Stability of a Characteristic Polynomial Depending on Parameters; Vibrations and Stability of a Conservative System Depending on Parameters; Stability of a Linear Hamiltonian System Depending on Parameters; Stability of Linear Gyroscopic Systems Depending on Parameters; Mechanical Effects Related to Bifurcation of Eigenvalues and Singularities of the Stability Boundary; Stability of Periodic Systems Depending on Parameters; Stability Boundary of a General Periodic System Depending on Parameters; Instability Domains of Oscillatory Systems with Small Parametric Excitation and Damping; Stability Domains of Nonconservative Systems Under Small Parametric Excitation.

Reviews

".,."" excellent representative of the mathematical outlook (and of the close Russian-style interaction) between abstract geometrical thinking and specific engineering applications ..."""

.,. excellent representative of the mathematical outlook (and of the close Russian-style interaction) between abstract geometrical thinking and specific engineering applications ...

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