Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics - Couverture souple

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9783319811413: Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics

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ISBN 10 : 331981141X ISBN 13 : 9783319811413

Editeur : Springer, 2018

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The Energy-momentum method for flexible multibody dynamics: EM integrators for elastic cosserat points.- EM integrators for rigid body dynamics.- EM integrators for flexible multibody dynamics.- Foundations of time integration methods: basics of time integration in nonlinear system dynamics.- Time integration in industrial multibody system simulation.- Time integration methods for differential equations on manifolds.- Generalized-alpha Lie group time integration.- Spurious oscillations in generalized-alpha time integration.- The Absolute Nodal Coordinate Formulation: Introduction to ANCF.- 2D Bernoulli-Euler (thin) ANC element.- 3D shear and cross section deformable ANC element.- 2D shear and cross section deformable fully parameterized ANCF.- 2D shear and cross section deformable gradient deficient ANCF.- Selection of boundary conditions for 2D ANC elements.- 3D shear and cross section deformable ANC elements.- Variants of the energy-momentum method: Numerical time integration in solid mechanics: the role of dissipation.- The discrete gradient.- High frequency dissipative methods for nonlinear solid dynamics.- Energy decaying, momentum conserving methods.- The Energy-Entropy-Momentum method.- Conservative and dissipative methods in flexible multibody dynamics: Second order time integrators.- Conservative / dissipative time integration schemes.- Lie group formalisms.- A brief course on variational integrators

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�diteur: Springer
Date d'�dition: 2018
Langue: anglais
ISBN 10: 331981141X
ISBN 13: 9783319811413
Reliure: Broch�
Nombre de pages: 300
�diteur: Betsch Peter
Coordonn�es du fabricant: non disponible
Personne responsable: CMN Printpool Inh. Mathis Neumann
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Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics

Betsch, Peter

Edit� par Springer International Publishing, 2018

ISBN 10 : 331981141X ISBN 13 : 9783319811413

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents a state-of-the-art review of structure-preservingnumerical methods for constrained mechanical systemsOffers contemporary treatment of numerical methods forflexible multibody dynamicsOutlines a comprehensive approach that yie. N� de r�f. du vendeur 448756055

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Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics

Peter Betsch

Edit� par Springer International Publishing, Springer International Publishing Mai 2018, 2018

ISBN 10 : 331981141X ISBN 13 : 9783319811413

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Taschenbuch. Etat : Neu. Neuware -This book focuses on structure-preserving numerical methodsfor flexible multibody dynamics, including nonlinear elastodynamics andgeometrically exact models for beams and shells. It also deals with the newlyemerging class of variational integrators as well as Lie-group integrators. Itdiscusses two alternative approaches to the discretization in space ofnonlinear beams and shells. Firstly, geometrically exact formulations, whichare typically used in the finite element community and, secondly, the absolutenodal coordinate formulation, which is popular in the multibody dynamicscommunity. Concerning the discretization in time, the energy-momentum methodand its energy-decaying variants are discussed. It also addresses a number ofissues that have arisen in the wake of the structure-preserving discretizationin space. Among them are the parameterization of finite rotations, theincorporation of algebraic constraints and the computer implementation of thevarious numerical methods. The practical application of structure-preservingmethods is illustrated by a number of examples dealing with, among othersnonlinear beams and shells, large deformation problems, long-term simulationsand coupled thermo-mechanical multibody systems. In addition it links novel timeintegration methods to frequently used methods in industrial multibody systemsimulation.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 300 pp. Englisch. N� de r�f. du vendeur 9783319811413

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Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics

Peter Betsch

Edit� par Springer International Publishing, Springer International Publishing, 2018

ISBN 10 : 331981141X ISBN 13 : 9783319811413

Neuf Taschenbuch

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book focuses on structure-preserving numerical methodsfor flexible multibody dynamics, including nonlinear elastodynamics andgeometrically exact models for beams and shells. It also deals with the newlyemerging class of variational integrators as well as Lie-group integrators. Itdiscusses two alternative approaches to the discretization in space ofnonlinear beams and shells. Firstly, geometrically exact formulations, whichare typically used in the finite element community and, secondly, the absolutenodal coordinate formulation, which is popular in the multibody dynamicscommunity. Concerning the discretization in time, the energy-momentum methodand its energy-decaying variants are discussed. It also addresses a number ofissues that have arisen in the wake of the structure-preserving discretizationin space. Among them are the parameterization of finite rotations, theincorporation of algebraic constraints and the computer implementation of thevarious numerical methods. The practical application of structure-preservingmethods is illustrated by a number of examples dealing with, among others,nonlinear beams and shells, large deformation problems, long-term simulationsand coupled thermo-mechanical multibody systems. In addition it links novel timeintegration methods to frequently used methods in industrial multibody systemsimulation. N� de r�f. du vendeur 9783319811413

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