CISM International Centre for Mechanical Sciences

Dynamic Stability and Bifurcation in Nonconservative Mechanics

Editors: Bigoni, Davide, Kirillov, Oleg (Eds.)

  • Addresses stability, dynamics and bifuration in both non-conservative and non-holonomic mechanical systems
  • Proposes a unique combination of modern mathematical techniques motivated by a broad variety of practical applications
  • Presents best research and teaching practices from top universitites and research institutions
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eBook $129.00
price for USA in USD (gross)
  • ISBN 978-3-319-93722-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-93721-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

The book offers a unified view on classical results and recent advances in the dynamics of nonconservative systems. The theoretical fundamentals are presented systematically and include: Lagrangian and Hamiltonian formalism, non-holonomic constraints, Lyapunov stability theory, Krein theory of spectra of Hamiltonian systems and modes of negative and positive energy, anomalous Doppler effect, reversible systems, sensitivity analysis of non-self-adjoint operators, dissipation-induced instabilities, local and global instabilities. They are applied to engineering situations such as the coupled mode flutter of wings, flags and pipes, flutter in granular materials, piezoelectric mechanical metamaterials, wave dynamics of infinitely long structures, radiative damping, stability of high-speed trains, experimental realization of follower forces, soft-robot locomotion, wave energy converters, friction-induced instabilities, brake squeal, non-holonomic sailing, dynamics of moving continua, and stability of bicycles and walking robots. The book responds to a demand in the modern theory of nonconservative systems coming from the growing number of scientific and engineering disciplines including physics, fluid and solids mechanics, fluid-structure interactions, and modern multidisciplinary research areas such as biomechanics, micro- and nanomechanics, optomechanics, robotics, and material science. It is targeted at both young and experienced researchers and engineers working in fields associated with the dynamics of structures and materials. The book will help to get a comprehensive and systematic knowledge on the stability, bifurcations and dynamics of nonconservative systems and establish links between approaches and methods developed in different areas of mechanics and physics and modern applied mathematics.

Table of contents (4 chapters)

  • Flutter from Friction in Solids and Structures

    Bigoni, Davide

    Pages 1-61

  • Dissipation Induced Instabilities of Structures Coupled to a Flow

    Doaré, Olivier

    Pages 63-102

  • Some Surprising Conservative and Nonconservative Moments in the Dynamics of Rods and Rigid Bodies

    Hemingway, Evan G. (et al.)

    Pages 103-127

  • Classical Results and Modern Approaches to Nonconservative Stability

    Kirillov, Oleg N.

    Pages 129-190

Buy this book

eBook $129.00
price for USA in USD (gross)
  • ISBN 978-3-319-93722-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-93721-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Dynamic Stability and Bifurcation in Nonconservative Mechanics
Editors
  • Davide Bigoni
  • Oleg Kirillov
Series Title
CISM International Centre for Mechanical Sciences
Series Volume
586
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
CISM International Centre for Mechanical Sciences
eBook ISBN
978-3-319-93722-9
DOI
10.1007/978-3-319-93722-9
Hardcover ISBN
978-3-319-93721-2
Series ISSN
0254-1971
Edition Number
1
Number of Pages
VII, 190
Number of Illustrations and Tables
18 b/w illustrations, 59 illustrations in colour
Topics