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Structure-preserving Integrators in ...

Betsch, Peter.

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Structure-preserving Integrators in nonlinear structural dynamics and flexible multibody dynamics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Structure-preserving Integrators in nonlinear structural dynamics and flexible multibody dynamics/ edited by Peter Betsch.
other author:	Betsch, Peter.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	vii, 291 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	High Frequency Dissipative Integration Schemes for Linear and Nonlinear Elastodynamics -- Energy-Momentum Integrators for Elastic Cosserat Points, Rigid Bodies, and Multibody Systems -- A Lie Algebra Approach to Lie Group Time Integration of Constrained Systems -- The Absolute Nodal Coordinate Formulation -- A Brief Introduction to Variational Integrators.
Contained By:	Springer eBooks
Subject:	Structural dynamics - Congresses. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-31879-0
ISBN:	9783319318790

Structure-preserving Integrators in nonlinear structural dynamics and flexible multibody dynamics
Structure-preserving Integrators in nonlinear structural dynamics and flexible multibody dynamics[electronic resource] /edited by Peter Betsch. - Cham :Springer International Publishing :2016. - vii, 291 p. :ill. (some col.), digital ;24 cm. - CISM International Centre for Mechanical Sciences,v.5650254-1971 ;. - CISM International Centre for Mechanical Sciences ;v.563..

High Frequency Dissipative Integration Schemes for Linear and Nonlinear Elastodynamics -- Energy-Momentum Integrators for Elastic Cosserat Points, Rigid Bodies, and Multibody Systems -- A Lie Algebra Approach to Lie Group Time Integration of Constrained Systems -- The Absolute Nodal Coordinate Formulation -- A Brief Introduction to Variational Integrators.

This book focuses on structure-preserving numerical methods for flexible multibody dynamics, including nonlinear elastodynamics and geometrically exact models for beams and shells. It also deals with the newly emerging class of variational integrators as well as Lie-group integrators. It discusses two alternative approaches to the discretization in space of nonlinear beams and shells. Firstly, geometrically exact formulations, which are typically used in the finite element community and, secondly, the absolute nodal coordinate formulation, which is popular in the multibody dynamics community. Concerning the discretization in time, the energy-momentum method and its energy-decaying variants are discussed. It also addresses a number of issues that have arisen in the wake of the structure-preserving discretization in space. Among them are the parameterization of finite rotations, the incorporation of algebraic constraints and the computer implementation of the various numerical methods. The practical application of structure-preserving methods is illustrated by a number of examples dealing with, among others, nonlinear beams and shells, large deformation problems, long-term simulations and coupled thermo-mechanical multibody systems. In addition it links novel time integration methods to frequently used methods in industrial multibody system simulation.

ISBN: 9783319318790

Standard No.: 10.1007/978-3-319-31879-0doiSubjects--Topical Terms:

1530412
Structural dynamics
--Congresses.

LC Class. No.: TA654

Dewey Class. No.: 624.171

Structure-preserving Integrators in nonlinear structural dynamics and flexible multibody dynamics
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245 0 0 $a Structure-preserving Integrators in nonlinear structural dynamics and flexible multibody dynamics $h [electronic resource] / $c edited by Peter Betsch.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a vii, 291 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a CISM International Centre for Mechanical Sciences, $x 0254-1971 ; $v v.565
505 0 $a High Frequency Dissipative Integration Schemes for Linear and Nonlinear Elastodynamics -- Energy-Momentum Integrators for Elastic Cosserat Points, Rigid Bodies, and Multibody Systems -- A Lie Algebra Approach to Lie Group Time Integration of Constrained Systems -- The Absolute Nodal Coordinate Formulation -- A Brief Introduction to Variational Integrators.
520 $a This book focuses on structure-preserving numerical methods for flexible multibody dynamics, including nonlinear elastodynamics and geometrically exact models for beams and shells. It also deals with the newly emerging class of variational integrators as well as Lie-group integrators. It discusses two alternative approaches to the discretization in space of nonlinear beams and shells. Firstly, geometrically exact formulations, which are typically used in the finite element community and, secondly, the absolute nodal coordinate formulation, which is popular in the multibody dynamics community. Concerning the discretization in time, the energy-momentum method and its energy-decaying variants are discussed. It also addresses a number of issues that have arisen in the wake of the structure-preserving discretization in space. Among them are the parameterization of finite rotations, the incorporation of algebraic constraints and the computer implementation of the various numerical methods. The practical application of structure-preserving methods is illustrated by a number of examples dealing with, among others, nonlinear beams and shells, large deformation problems, long-term simulations and coupled thermo-mechanical multibody systems. In addition it links novel time integration methods to frequently used methods in industrial multibody system simulation.
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650 2 4 $a Theoretical and Applied Mechanics. $3 896500
650 2 4 $a Nonlinear Dynamics. $3 608190
700 1 $a Betsch, Peter. $3 2195106
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