Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics (Hardcover, 1st ed. 2016)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	CISM International Centre for Mechanical Sciences, 565
Release date:	May 2016
First published:	2016
Editors:	Peter Betsch
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover - Cloth over boards
Pages:	291
Edition:	1st ed. 2016
ISBN-13:	978-3-319-31877-6
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > General
LSN:	3-319-31877-2
Barcode:	9783319318776

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