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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.
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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
ISSN
1404-0034
ISBN
978-91-628-7778-1
language
English
LU publication?
yes
id
b5a38a5c-9c1c-438c-9bb6-edc33cdf2ae0 (old id 1390975)
date added to LUP
2009-04-28 13:24:17
date last changed
2016-09-19 08:44:50
@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},
  keyword      = {multibody dynamics,Geometric numerical integration,rolling bearing simulation,adaptive time-stepping,variable time-step},
  language     = {eng},
  pages        = {149},
  publisher    = {Matematikcentrum},
  school       = {Lund University},
  series       = {Doctoral Theses in Mathematical Sciences},
  title        = {Adaptive Geometric Numerical Integration of Mechanical Systems},
  volume       = {2009:3},
  year         = {2009},
}