Publisher description
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. 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 and more.
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Multiparameter Stability Theory With Mechanical Applications
Book reviews » Multiparameter Stability Theory With Mechanical Applications (Series on Stability, Vibration and Control of Systems, Series a Vol. 13)
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