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Wavelet Galerkin methods for elastic multibody systems with unilateral contact constraints

López, José Díaz LU (2004) In Doctoral Thesis in Mathematical Sciences
Abstract
In this thesis we investigate the applicability of wavelets to simulate the time behavior of elastic multibody systems (MBS) with contact constraints. For this end, a wavelet element method (WEM) was implemented, exploiting the special structure of the coupled ODE/PDE equations that govern elastic MBS.



Special care has to be taken to adapt the method to the particular geometry of the elastic bodies. The use of WEM as an alternative to finite elements is discussed, focusing on the particular aspects of system reduction and adaptive handling of contact problems, where we see its strengths.



This WEM/FEM space semidiscretisation is integrated in time using modified versions of DASSL and ODASSL. A... (More)
In this thesis we investigate the applicability of wavelets to simulate the time behavior of elastic multibody systems (MBS) with contact constraints. For this end, a wavelet element method (WEM) was implemented, exploiting the special structure of the coupled ODE/PDE equations that govern elastic MBS.



Special care has to be taken to adapt the method to the particular geometry of the elastic bodies. The use of WEM as an alternative to finite elements is discussed, focusing on the particular aspects of system reduction and adaptive handling of contact problems, where we see its strengths.



This WEM/FEM space semidiscretisation is integrated in time using modified versions of DASSL and ODASSL. A simplified model of a rolling bearing is taken as test case of a typical industrial application. (Less)
Please use this url to cite or link to this publication:
author
supervisor
opponent
  • Prof. Simeon, Bernd, Munich
organization
publishing date
type
Thesis
publication status
published
subject
keywords
Computer science, Elastic MBS, Contact, Unilateral Contraints, Wavelet, DAE, Daubechies, numerical analysis, systems, control, Datalogi, numerisk analys, system, kontroll
in
Doctoral Thesis in Mathematical Sciences
pages
151 pages
publisher
Numerical Analysis, Lund University
defense location
Sal C, Matematikcentrum
defense date
2004-09-28 10:15
external identifiers
  • other:ISRN: LUNFNA-1003-2004
ISSN
1404-0034
ISBN
91-628-6209-X
language
English
LU publication?
yes
id
4c5d02ff-873f-45c6-ac5e-021478217292 (old id 27616)
date added to LUP
2007-06-08 10:37:17
date last changed
2016-09-19 08:44:53
@phdthesis{4c5d02ff-873f-45c6-ac5e-021478217292,
  abstract     = {In this thesis we investigate the applicability of wavelets to simulate the time behavior of elastic multibody systems (MBS) with contact constraints. For this end, a wavelet element method (WEM) was implemented, exploiting the special structure of the coupled ODE/PDE equations that govern elastic MBS.<br/><br>
<br/><br>
Special care has to be taken to adapt the method to the particular geometry of the elastic bodies. The use of WEM as an alternative to finite elements is discussed, focusing on the particular aspects of system reduction and adaptive handling of contact problems, where we see its strengths.<br/><br>
<br/><br>
This WEM/FEM space semidiscretisation is integrated in time using modified versions of DASSL and ODASSL. A simplified model of a rolling bearing is taken as test case of a typical industrial application.},
  author       = {López, José Díaz},
  isbn         = {91-628-6209-X},
  issn         = {1404-0034},
  keyword      = {Computer science,Elastic MBS,Contact,Unilateral Contraints,Wavelet,DAE,Daubechies,numerical analysis,systems,control,Datalogi,numerisk analys,system,kontroll},
  language     = {eng},
  pages        = {151},
  publisher    = {Numerical Analysis, Lund University},
  school       = {Lund University},
  series       = {Doctoral Thesis in Mathematical Sciences},
  title        = {Wavelet Galerkin methods for elastic multibody systems with unilateral contact constraints},
  year         = {2004},
}