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Solid Mechanics and Its Applications

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

Editors: Moon, Francis C. (Ed.)

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Hardcover $469.00
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About this book

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.

Table of contents (54 chapters)

  • Bifurcation in Stochastically Perturbed Dynamical Systems

    Ariaratnam, S. T.

    Pages 3-11

  • Nonstationary Responses in Two Degree-of-Freedom Nonlinear Systems with 1-to-2 Internal Resonance

    Bajaj, Anil K. (et al.)

    Pages 13-22

  • Sinusoidally Varying Period-Doubling Bifurcations

    Davies, Huw G.

    Pages 23-29

  • Wavelet Approach to Mechanical Problems. Symplectic Group, Symplectic Topology and Symplectic Scales

    Fedorova, A. N. (et al.)

    Pages 31-40

  • On the Generalized Cell Mapping

    Guder, R. (et al.)

    Pages 41-50

Buy this book

eBook $369.00
price for USA (gross)
  • ISBN 978-94-011-5320-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $469.00
price for USA
  • ISBN 978-0-7923-5276-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $469.00
price for USA
  • ISBN 978-94-010-6235-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics
Book Subtitle
Proceedings of the IUTAM Symposium held in Ithaca, NY, U.S.A., 27 July–1 August 1997
Editors
  • Francis C. Moon
Series Title
Solid Mechanics and Its Applications
Series Volume
63
Copyright
1999
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-011-5320-1
DOI
10.1007/978-94-011-5320-1
Hardcover ISBN
978-0-7923-5276-1
Softcover ISBN
978-94-010-6235-0
Series ISSN
0925-0042
Edition Number
1
Number of Pages
XIV, 562
Topics