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

Peter Betsch

ISBN 10: 331981141X / ISBN 13: 9783319811413

Edité par Springer, 2018

Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics | Peter Betsch | Taschenbuch | CISM International Centre for Mechanical Sciences | vii | Englisch | 2018 | Springer | EAN 9783319811413 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. N° de réf. du vendeur 114226344

Synopsis :

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

Détails bibliographiques

Titre : Structure-preserving Integrators in ...
Éditeur : Springer
Date d'édition : 2018
Reliure : Taschenbuch
Etat : Neu