Adaptive Geometric Numerical Integration of Mechanical Systems
(2009) In Doctoral Theses in Mathematical Sciences 2009:3.- Abstract
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1390975
- author
- Modin, Klas LU
- supervisor
-
- Claus Führer LU
- opponent
-
- professor Owren, Brynjulf, NTNU, Trondheim, Norway
- organization
- publishing date
- 2009
- type
- Thesis
- publication status
- published
- subject
- keywords
- multibody dynamics, Geometric numerical integration, rolling bearing simulation, adaptive time-stepping, variable time-step
- in
- Doctoral Theses in Mathematical Sciences
- volume
- 2009:3
- pages
- 149 pages
- publisher
- Matematikcentrum
- defense location
- Lecture hall MH:C, Centre for Mathematical Sciences, Sölvegatan 18, Lund University Faculty of Engineering
- defense date
- 2009-05-22 10:15:00
- ISSN
- 1404-0034
- ISBN
- 978-91-628-7778-1
- language
- English
- LU publication?
- yes
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)
- id
- b5a38a5c-9c1c-438c-9bb6-edc33cdf2ae0 (old id 1390975)
- date added to LUP
- 2016-04-01 14:45:04
- date last changed
- 2019-05-21 13:34:41
@phdthesis{b5a38a5c-9c1c-438c-9bb6-edc33cdf2ae0, abstract = {{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.}}, author = {{Modin, Klas}}, isbn = {{978-91-628-7778-1}}, issn = {{1404-0034}}, keywords = {{multibody dynamics; Geometric numerical integration; rolling bearing simulation; adaptive time-stepping; variable time-step}}, language = {{eng}}, publisher = {{Matematikcentrum}}, school = {{Lund University}}, series = {{Doctoral Theses in Mathematical Sciences}}, title = {{Adaptive Geometric Numerical Integration of Mechanical Systems}}, url = {{https://lup.lub.lu.se/search/files/4144628/1390977.pdf}}, volume = {{2009:3}}, year = {{2009}}, }