Deterministic Chaos in One-Dimensional Continuous Systems - Couverture rigide

Awrejcewicz, Jan; Krysko, Vadim A; Papkova, Irina V; Krysko, Anton V

Couverture rigide

ISBN 10 : 9814719692 ISBN 13 : 9789814719698

Editeur : World Scientific Publishing Co Pte Ltd, 2016

Synopsis

This book focuses on the computational analysis of nonlinear vibrations of structural members (beams, plates, panels, shells), where the studied dynamical problems can be reduced to the consideration of one spatial variable and time. The reduction is carried out based on a formal mathematical approach aimed at reducing the problems with infinite dimension to finite ones. The process also includes a transition from governing nonlinear partial differential equations to a set of finite number of ordinary differential equations.

Beginning with an overview of the recent results devoted to the analysis and control of nonlinear dynamics of structural members, placing emphasis on stability, buckling, bifurcation and deterministic chaos, simple chaotic systems are briefly discussed. Next, bifurcation and chaotic dynamics of the EulerBernoulli and Timoshenko beams including the geometric and physical nonlinearity as well as the elasticplastic deformations are illustrated. Despite the employed classical numerical analysis of nonlinear phenomena, the various wavelet transforms and the four Lyapunov exponents are used to detect, monitor and possibly control chaos, hyper-chaos, hyper-hyper-chaos and deep chaos exhibited by rectangular plate-strips and cylindrical panels.

The book is intended for post-graduate and doctoral students, applied mathematicians, physicists, teachers and lecturers of universities and companies dealing with a nonlinear dynamical system, as well as theoretically inclined engineers of mechanical and civil engineering.

Détails de l'édition

• Éditeur: World Scientific Publishing Co Pte Ltd
• Date d'édition: 2016
• Langue: anglais
• ISBN 10: 9814719692
• ISBN 13: 9789814719698
• Reliure: Relié
• Nombre de pages: 576
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible