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.
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