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Adaptive Geometric Numerical Integration of Mechanical Systems

Modin, Klas LU (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:
author
supervisor
opponent
  • professor Owren, Brynjulf, NTNU, Trondheim, Norway
organization
publishing date
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
project
Numerical Analysis and Scientific Computing
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
2026-02-11 14:05:22
@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}},
}