Buch, Englisch, Band 565, 291 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 5738 g
Buch, Englisch, Band 565, 291 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 5738 g
Reihe: CISM International Centre for Mechanical Sciences
ISBN: 978-3-319-31877-6
Verlag: Springer International Publishing
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
- Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
Weitere Infos & Material
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.
