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Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics
Kategorie	Beschreibung
036a	XA-DE
037b	eng
087q	978-3-319-31877-6
100b	Betsch, Peter ¬[Hrsg.]¬
331	Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics
410	Cham
412	Springer International Publishing
425	2016
425a	2016
433	Online-Ressource (VII, 291 p. 80 illus., 20 illus. in color, online resource)
451	CISM International Centre for Mechanical Sciences, Courses and Lectures ; 565
527	Druckausg.ISBN: 978-3-319-31877-6
540a	ISBN 978-3-319-31879-0
700	\|SCI041000
700	\|*70-06
700	\|70F10
700	\|74S30
700	\|00A79
700	\|TGMD
700	\|TEC009070
700b	\|624.171
700b	\|620.1
700c	\|TA349-359
750	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.
753	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.
012	470409835
081	Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics
100	Springer E-Book
125a	Elektronischer Volltext - Campuslizenz
655e	$uhttp://dx.doi.org/10.1007/978-3-319-31879-0