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Dynamic stability and bifurcation in...

Bigoni, Davide.

Dynamic stability and bifurcation in nonconservative mechanics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Dynamic stability and bifurcation in nonconservative mechanicsedited by Davide Bigoni, Oleg Kirillov.
other author:	Bigoni, Davide.
Published:	Cham :Springer International Publishing :2019.
Description:	vii, 190 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Stability.
Online resource:	http://dx.doi.org/10.1007/978-3-319-93722-9
ISBN:	9783319937229$q(electronic bk.)

Dynamic stability and bifurcation in nonconservative mechanics
Dynamic stability and bifurcation in nonconservative mechanics[electronic resource] /edited by Davide Bigoni, Oleg Kirillov. - Cham :Springer International Publishing :2019. - vii, 190 p. :ill., digital ;24 cm. - CISM International Centre for Mechanical Sciences,v.5860254-1971 ;. - CISM International Centre for Mechanical Sciences ;v.563..

Flutter from friction in solids and structures -- Dissipation-induced instabilities of structures coupled to a flow -- Some surprising conservative and non-conservative moments in the dynamics of rods and rigid bodies -- Non-conservative stability: classical results and modern approaches.

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.

ISBN: 9783319937229$q(electronic bk.)

Standard No.: 10.1007/978-3-319-93722-9doiSubjects--Topical Terms:

191051
Stability.

LC Class. No.: QA871

Dewey Class. No.: 515.392

Dynamic stability and bifurcation in nonconservative mechanics
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520 $a 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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