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 July-1 August 1997 - Solid Mechanics and Its Applications 1999 edition

Marc Notes: Includes bibliographical references and index. Table of Contents: I: Analysis Tools, Bifurcation Theory. II: Elastica, Cables and Shell Dynamics. III: Inelastic Materials, Material Processing. IV: Machine System Dynamics. V: Impact and Nonsmooth Systems. VI: Circuits, Control, Cardiac Modelling. VII: Vehicle and Ship Dynamics. VIII: Fluid-Elastic Problems. IX: Spatio-Temporal Chaos. Appendix I: Addresses of Authors. Author Index. Publisher Marketing: 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.

Contributor Bio:  Moon, Francis C Francis C. Moon is a Chaired Professor of Mechanical and Aerospace Engineering at Cornell University, Ithaca, New York. He is an elected member of the US National Academy of Engineers. He is also a Fellow of ASME. Moon is Curator of the Reuleaux Collection of Kinematic Models at Cornell University. He has authored five published books with John Wiley including two popular books on chaotic dynamics; Chaotic Vibrations (1987, 2004), Chaotic and Fractal Dynamics and a textbook Applied Dynamics (1998) His research specialty includes dynamics of machines and structures as well as magneto-mechanical devices. He has lectured recently in a ~Introduction to Roboticsa (TM) for seniors and a ~Applied Dynamicsa (TM) for graduate students. He was the recipient of a Humboldt Prize award in 1988 and 2001. In 2001 he was a visiting scholar at the Archiv of the Deutsches Museum where he studied the papers of Franz Reuleaux. Moon is a member of the commission on the History of Machines and Mechanisms (HMM) of the International Federation for the Theory af Machines and Mechanisms. (IFToMM) He has published over 140 research papers and holds five patents. He was the Director of the School of Mechanical and Aerospace engineering at Cornell University from 1987-1992. Moon is one of the creators of the history of mechanisms website; KMODDL: Kinematic Modelsfor Design, Digital Library [http: //kmoddl.library.cornell.edu]