By Peter Betsch

This e-book specializes in structure-preserving numerical methods
for versatile multibody dynamics, together with nonlinear elastodynamics and
geometrically precise versions for beams and shells. It additionally bargains with the newly
emerging classification of variational integrators in addition to Lie-group integrators. It
discusses replacement ways to the discretization in area of
nonlinear beams and shells. to begin with, geometrically specified formulations, which
are regularly utilized in the finite aspect group and, secondly, the absolute
nodal coordinate formula, that is renowned within the multibody dynamics
community. about the discretization in time, the energy-momentum method
and its energy-decaying variations are mentioned. It additionally addresses a bunch of
issues that experience arisen within the wake of the structure-preserving discretization
in area. between them are the parameterization of finite rotations, the
incorporation of algebraic constraints and the pc implementation of the
various numerical tools. the sensible software of structure-preserving
methods is illustrated by means of a few examples facing, between others,
nonlinear beams and shells, huge deformation difficulties, long term simulations
and coupled thermo-mechanical multibody platforms. additionally it hyperlinks novel time
integration how you can usually used tools in commercial multibody system
simulation.

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