Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics (CISM International Centre for Mechanical Sciences) - Softcover

Book 378 of 433: CISM International Centre for Mechanical Sciences
 
9783319811413: Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics (CISM International Centre for Mechanical Sciences)
Softcover
ISBN 10: 331981141X ISBN 13: 9783319811413
Publisher: Springer, 2018

Synopsis

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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From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2018
Language
English
ISBN 10 
331981141X
ISBN 13 
9783319811413
Binding
Paperback
Number of pages
300
Editor
Betsch Peter

Other Popular Editions of the Same Title

9783319318776: Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics (CISM International Centre for Mechanical Sciences, 565)

Featured Edition

ISBN 10:  3319318772 ISBN 13:  9783319318776
Publisher: Springer, 2016
Hardcover