Dynamic Stability and Bifurcation in Nonconservative Mechanics
Editors: Bigoni, Davide, Kirillov, Oleg (Eds.)
Free Preview- 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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- About this book
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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)
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Flutter from Friction in Solids and Structures
Pages 1-61
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Dissipation Induced Instabilities of Structures Coupled to a Flow
Pages 63-102
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Some Surprising Conservative and Nonconservative Moments in the Dynamics of Rods and Rigid Bodies
Pages 103-127
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Classical Results and Modern Approaches to Nonconservative Stability
Pages 129-190
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Table of contents (4 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Dynamic Stability and Bifurcation in Nonconservative Mechanics
- Editors
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- 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
- Softcover ISBN
- 978-3-030-06710-6
- Series ISSN
- 0254-1971
- Edition Number
- 1
- Number of Pages
- VII, 190
- Number of Illustrations
- 18 b/w illustrations, 59 illustrations in colour
- Topics
