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

Автор: PETER BETSCH

Език:

Корици: С меки корици

Издател: Springer International Publishing AG

Наличност: Външен склад

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This book focuses on structure-preserving numerical methods for flexible multibody dynamics, includi...

Информация за книгата

Автор

PETER BETSCH

Език

Английски език

Корици

Книга - С меки корици

Издадена

2018

страници

291

EAN

9783319811413

ISBN

9783319811413

Enbook ID

19684781

Издател

Springer International Publishing AG

Теглоt

4569

Размери

155 x 235 x 17

Пълно описание

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.

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

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