Dynamic Stability and Bifurcation in Nonconservative Mechanics

1. Front Matter

   Pages i-vii

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2. Flutter from Friction in Solids and Structures

   • Davide Bigoni

   Pages 1-61

3. Dissipation Induced Instabilities of Structures Coupled to a Flow

   • Olivier Doaré

   Pages 63-102

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

   • Evan G. Hemingway, Oliver M. O’Reilly

   Pages 103-127

5. Classical Results and Modern Approaches to Nonconservative Stability

   • Oleg N. Kirillov

   Pages 129-190

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.

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

• Department of Civil, Environmental and Mechanical Engineering, University of Trento, Trento, Italy

  Davide Bigoni

• Department of Mathematics, Physics and Electrical Engineering, Northumbria University, Newcastle upon Tyne, United Kingdom

  Oleg Kirillov

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