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| Title | Adaptive Geometric Numerical Integration of Mechanical Systems |
| Author/s | Klas Modin |
| Department/s |
Numerical Analysis
|
| Full-text | Available as PDF |
| Defence date | 2009-05-22 |
| Defence time | 10:15 |
| Defence place | Lecture hall MH:C, Centre for Mathematical Sciences, Sölvegatan 18, Lund University Faculty of Engineering |
| Opponent | professor Brynjulf Owren |
| Publication/Series | Doctoral Theses in Mathematical Sciences |
| Publishing year | 2009 |
| Volume | 2009:3 |
| Pages | 149 |
| Document type | Dissertation |
| Language | English |
| 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. |
| Subject |
Mathematics and Statistics |
| Keywords | Geometric numerical integration, multibody dynamics, rolling bearing simulation, adaptive time-stepping, variable time-step |
| ISBN/ISSN/Other |
ISSN: 1404-0034 ISBN: 978-91-628-7778-1 |
| Supervisor | Claus Führer |
| Research group | Numerical Analysis |
| Funder |
VR |
