Title Adaptive Geometric Numerical Integration of Mechanical Systems
Authors Klas Modin
Full-text Available as PDF
Publication Doctoral Theses in Mathematical Sciences
Year 2009
Volume 2009:3
Pages 149
Document type Thesis
Language eng
Publisher Matematikcentrum
Abstract English This thesis is about structure preserving numerical integration of initial value problems, i.e., so called geometric numerical integrators. In particular, we are interested in how time-step adaptivity can be achieved in conjunction with structure preserving properties without destroying the good long time integration properties which are typical for geometric integration methods. As a specific application we consider dynamic simulations of rolling bearings and rotor dynamical problems. The work is part of a research collaboration between SKF (www.skf.com) and the Centre of Mathematical Sciences at Lund University.
Keywords multibody dynamics, Geometric numerical integration, rolling bearing simulation, adaptive time-stepping, variable time-step,
ISBN/ISSN/Other ISSN: 1404-0034
ISBN: 978-91-628-7778-1

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