Solid Mechanics and Its Applications

Nonlinear Dynamic Phenomena in Mechanics

Editors: Warminski, J., Lenci, S., Cartmell, M.P., Rega, G., Wiercigroch, M. (Eds.)

  • Describes original and untypical phenomena of nonlinear mechanics
  • Presents advantages and disadvantages of nonlinear dynamic phenomena in the aspect of design of aerospace, mechanical and civil engineering structures
  • Gives practical examples
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About this book

Nonlinear phenomena should play a crucial role in the design and control of engineering systems and structures as they can drastically change the prevailing dynamical responses.

This book covers theoretical and applications-based problems of nonlinear dynamics concerned with both discrete and continuous systems of interest in civil and mechanical engineering. They include pendulum-like systems, slender footbridges, shape memory alloys, sagged elastic cables and non-smooth problems.

Pendulums can be used as a dynamic absorber mounted in high buildings, bridges or chimneys. Geometrical nonlinearities introduced by pendulum motion may change the system dynamics, and entail a rapid increase of the oscillations of both the structure and the pendulum, leading to full pendulum rotation or chaotic dynamics. To magnetorheological damping is proposed.

Nonlinear mechanics has to be used to explain undesired response in slender footbridges, such as that occurred in the famous event of the London Millenium Bridge. The observed phenomena can be explained by an analytical nonlinear discrete-time model.

Shape memory alloys (SMAs) exhibit very interesting nonlinear thermo-mechanical properties such as shape memory effect and superelasticity. SMA elements integrated within composite beams or plates can be used for active modification of structure properties e.g. by affecting their natural frequencies.

Finite amplitude, resonant, forced dynamics of sagged, horizontal or inclined, elastic cables have recently undergone meaningful research advances concerned with modelling, analysis, response, and nonlinear/nonregular phenomena. A variety of features of nonlinear multimodal interaction in different resonance conditions are comparatively addressed.

Non-smooth systems are very common in engineering practice. Three mechanical engineering problems are presented: (i) a vibro-impact system in the form of a moling device, (ii) the influence of the opening and closing of a fatigue crack on the host system dynamics, and (iii) nonlinear interactions between a rotor and snubber ring system.  

This book is aimed at a wide audience of engineers and researchers working in the field of nonlinear structural vibrations and dynamics, and undergraduate and postgraduate students reading mechanical, aerospace and civil engineering.

Reviews

From the reviews:

“Aimed at engineers and researchers in structural vibrations and students in mechanical, aerospace and civil engineering, this book is relatively easy to read for those experienced in applied mathematics. Five multi-author monographs on nonlinear material and dynamic mechanical phenomena are presented. These achieve the objective of informing the audience of treatments to date.” (Angelo Campanella, Noise Control Engineering Journal, Vol. 61 (1), January-February, 2012)


Table of contents (5 chapters)

  • Autoparametric Vibrations of a Nonlinear System with a Pendulum and Magnetorheological Damping

    Warminski, Jerzy (et al.)

    Pages 1-61

  • On the Dynamics of Pedestrians-Induced Lateral Vibrations of Footbridges

    Lenci, Stefano (et al.)

    Pages 63-114

  • Applications for Shape Memory Alloys in Structural and Machine Dynamics

    Cartmell, Matthew P. (et al.)

    Pages 115-158

  • Theoretical and Experimental Nonlinear Vibrations of Sagged Elastic Cables

    Rega, Giuseppe

    Pages 159-210

  • Engineering Applications of Non-smooth Dynamics

    Wiercigroch, Marian (et al.)

    Pages 211-273

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-94-007-2473-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-94-007-2472-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Dynamic Phenomena in Mechanics
Editors
  • Jerzy Warminski
  • Stefano Lenci
  • M.P. Cartmell
  • Giuseppe Rega
  • Marian Wiercigroch
Series Title
Solid Mechanics and Its Applications
Series Volume
181
Copyright
2012
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-94-007-2473-0
DOI
10.1007/978-94-007-2473-0
Hardcover ISBN
978-94-007-2472-3
Series ISSN
0925-0042
Edition Number
1
Number of Pages
XV, 275
Topics