EAN: 9783319318776

STRUCTURE-PRESERVING INTEGRATORS IN NONLINEAR S...

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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