EAN: 9783319937212

DYNAMIC STABILITY AND BIFURCATION IN NONCONSERV...

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.

Aktuelle Preise zur EAN 9783319937212

Produktinformationen zur 9783319937212