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Multiparameter Stability Theory With Mechanical Applications
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This book deals with fundamental problems, concepts, and methods of
multiparameter stability theory with applications in mechanics. It
presents recent 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, etc. 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.
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World Scientific; January 2003
421 pages; ISBN 9789812564443
Read online, or download in secure PDF format
421 pages; ISBN 9789812564443
Read online, or download in secure PDF format