IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics: Proceedings of the IUTAM Symposium held in Ithaca, NY, U.S.A., 27 ... 63 (Solid Mechanics and Its Applications, 63) - Hardcover

Hardcover

ISBN 10: 0792352769 ISBN 13: 9780792352761

Publisher: Springer, 1998

Synopsis

It is two decades since Mitchell Feigenbaum's landmark papers on period doubling and the modern beginnings of what is now called "Chaos Theory". From the very beginning, mechanics has been a central focus for modem nonlinear dynamical systems. Fluid, structural, machine and rigid body dynamics has been a fertile field for nonlinear phenomena and chaos in particular. Early experimental evidence for chaotic phenomena in mechanics gave the new chaos theory a mark of credibility, importance, and relevance that its earlier sister field, catastrophe theory, did not achieve. The fact that mechanics straddles both physics and engineering also meant that mechanics became a pathway for direct application of chaos theory to applied problems. So what is new in nonlinear dynamics and mechanics today? First the scope of applications in solid mechanics has broadened to cover material processing, inelasticity and fracture mechanics. In rigid body dynamics, more complex systems such as vehicles, robotics and controlled machines have come into the purview of nonlinear dynamicists. On the mathematics side of nonlinear dynamics, it is now recognized that spatio-temporal problems, hysteretic and time delay problems are the new frontiers in this field. Also the term "complexity" has been added to the lexicon of chaos theory to describe the dynamics of many interacting sub systems which can exhibit self organization and evolution. Complexity analysis has gained a foothold in biological and some social sciences as well in fluid and chemical physics.

About this title

Synopsis

This book presents the latest research results in the area of applied nonlinear dynamics and chaos theory as presented at the IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics. The papers address new applications of nonlinear dynamics to mechanics, including fluid-structure interaction, machining and mechanics of solids, aircraft and vehicle dynamics and many other applications. The authors include three academic generations including the early pioneers, the first generation of students, now quite distinguished themselves, as well as novitiates to the field. The subjects span the following areas: analysis tools, bifurcation theory, elastica, cables and shell dynamics, inelasticity, materials processing, machine system dynamics, impact and non-smooth systems, circuits, control, cardiac modelling, vehicle and ship dynamics, fluid-elastic and fluid systems, spatio-temporal chaos. The papers contain valuable references to the literature which will be useful to both new and senior researchers. This volume will be of interest to researchers and engineers in the field of applied mathematics, physical and mechanical sciences, and engineering.

Edition details

• Publisher: Springer
• Publication date: 1998
• Language: English
• ISBN 10: 0792352769
• ISBN 13: 9780792352761
• Binding: Hardcover
• Number of pages: 576
• Editor: Moon Francis C.