Structure-preserving integrators in nonlinear structural dynamics and flexible multibody dynamics [electronic resource] / Peter Betsch, editor.
2016
TA654
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Title
Structure-preserving integrators in nonlinear structural dynamics and flexible multibody dynamics [electronic resource] / Peter Betsch, editor.
ISBN
9783319318790 (electronic book)
3319318799 (electronic book)
9783319318776
3319318799 (electronic book)
9783319318776
Published
Switzerland : Springer, 2016.
Language
English
Description
1 online resource (vii, 291 pages) : illustrations.
Call Number
TA654
Dewey Decimal Classification
624.1/71
Summary
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.
Bibliography, etc. Note
Includes bibliographical references.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed May 17, 2016).
Added Author
Betsch, Peter, editor.
Series
Courses and lectures ; volume 565.
Available in Other Form
Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics.
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Table of Contents
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.
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.