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Dynamic Stability and Bifurcation in Nonconservative Mechanics

  • Davide Bigoni
  • Oleg Kirillov

Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 586)

Table of contents

About this book

Introduction

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.

Keywords

structural stability non-conservative systems friction-induced vibrations fluid-structure interactions flutter instability

Editors and affiliations

  • Davide Bigoni
    • 1
  • Oleg Kirillov
    • 2
  1. 1.Department of Civil, Environmental and Mechanical EngineeringUniversity of TrentoTrentoItaly
  2. 2.Department of Mathematics, Physics and Electrical EngineeringNorthumbria UniversityNewcastle upon TyneUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-93722-9
  • Copyright Information CISM International Centre for Mechanical Sciences 2019
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-93721-2
  • Online ISBN 978-3-319-93722-9
  • Series Print ISSN 0254-1971
  • Series Online ISSN 2309-3706
  • Buy this book on publisher's site
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