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Collocation Methods for the Investigation of Periodic Motions of Constrained Multibody Systems

Franke, Cornelia and Führer, Claus LU (2001) In Multibody System Dynamics 5(2). p.133-158
Abstract
The investigation of periodic motions of constrained multibody systems requires the numerical solution of differential-algebraic boundary value problems. After briefly surveying the basics of periodic motion analysis the paper presents an extension of projected collocation methods [6] to a special class of boundary Value problems for multibody system equations with position and velocity constraints. These methods can be applied for computing stable as well as unstable periodic motions. Furthermore they provide stability information, which can be used to detect bifurcations on periodic branches. The special class of equations stemming from contact problems like in railroad systems [22] can be handled as well. Numerical experiments with a... (More)
The investigation of periodic motions of constrained multibody systems requires the numerical solution of differential-algebraic boundary value problems. After briefly surveying the basics of periodic motion analysis the paper presents an extension of projected collocation methods [6] to a special class of boundary Value problems for multibody system equations with position and velocity constraints. These methods can be applied for computing stable as well as unstable periodic motions. Furthermore they provide stability information, which can be used to detect bifurcations on periodic branches. The special class of equations stemming from contact problems like in railroad systems [22] can be handled as well. Numerical experiments with a wheelset model demonstrate the performance of the algorithms (Less)
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Contribution to journal
publication status
published
subject
keywords
constrained multibody systems, Floquet multipliers, DIFFERENTIAL-ALGEBRAIC EQUATIONS, DYNAMICS, differential-algebraic equations, periodic motions, collocation, stability analysis
in
Multibody System Dynamics
volume
5
issue
2
pages
133 - 158
publisher
Springer
external identifiers
  • scopus:18044401655
ISSN
1384-5640
DOI
10.1023/A:1009862617209
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
3ed9442c-df8f-41b0-9cab-aefa860fa18a (old id 1221679)
alternative location
http://www.springerlink.com/content/k9751n7v035729t5/fulltext.pdf
date added to LUP
2016-04-04 09:04:50
date last changed
2022-01-29 08:11:58
@article{3ed9442c-df8f-41b0-9cab-aefa860fa18a,
  abstract     = {{The investigation of periodic motions of constrained multibody systems requires the numerical solution of differential-algebraic boundary value problems. After briefly surveying the basics of periodic motion analysis the paper presents an extension of projected collocation methods [6] to a special class of boundary Value problems for multibody system equations with position and velocity constraints. These methods can be applied for computing stable as well as unstable periodic motions. Furthermore they provide stability information, which can be used to detect bifurcations on periodic branches. The special class of equations stemming from contact problems like in railroad systems [22] can be handled as well. Numerical experiments with a wheelset model demonstrate the performance of the algorithms}},
  author       = {{Franke, Cornelia and Führer, Claus}},
  issn         = {{1384-5640}},
  keywords     = {{constrained multibody systems; Floquet multipliers; DIFFERENTIAL-ALGEBRAIC EQUATIONS; DYNAMICS; differential-algebraic equations; periodic motions; collocation; stability analysis}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{133--158}},
  publisher    = {{Springer}},
  series       = {{Multibody System Dynamics}},
  title        = {{Collocation Methods for the Investigation of Periodic Motions of Constrained Multibody Systems}},
  url          = {{http://dx.doi.org/10.1023/A:1009862617209}},
  doi          = {{10.1023/A:1009862617209}},
  volume       = {{5}},
  year         = {{2001}},
}