Blick ins Buch

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

Peter Betsch (Herausgeber)

Buch | Hardcover

VII, 291 Seiten

2016 | 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-31877-6 (ISBN)

Lese- und Medienproben

Blick ins Buch (midvox)

Artikel merken

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.

High Frequency Dissipative Integration Schemes for Linear andNonlinear Elastodynamics.- Energy-Momentum Integrators for Elastic CosseratPoints, Rigid Bodies, and Multibody Systems.- A Lie Algebra Approach to LieGroup Time Integration of Constrained Systems.- The Absolute Nodal CoordinateFormulation.- A Brief Introduction to Variational Integrators.

Erscheinungsdatum	08.10.2016
Reihe/Serie	CISM International Centre for Mechanical Sciences
Zusatzinfo	VII, 291 p. 80 illus., 20 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Optik
	Technik ► Maschinenbau
Schlagworte	Absolute Nodel Coordinate Formulation • Energy-decaying Methods • Energy-momentum Method • Engineering • Generalized-alpha Method • Geometrically Exact Structural Models • Lie-group Integrators • Nonlinear Dynamics • Numerical Methods for Flexible multibody Dynamics • Structure-preserving Time Integration • Theoretical and Applied Mechanics • Variational Integrators
ISBN-10	3-319-31877-2 / 3319318772
ISBN-13	978-3-319-31877-6 / 9783319318776
Zustand	Neuware