Wavelet Galerkin methods for elastic multibody systems with unilateral contact constraints
(2004) In Doctoral Theses 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:
https://lup.lub.lu.se/record/27616
- author
- López, José Díaz LU
- supervisor
-
- Claus Führer LU
- opponent
-
- Prof. Simeon, Bernd, Munich
- organization
- publishing date
- 2004
- 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 Theses in Mathematical Sciences
- pages
- 151 pages
- publisher
- Numerical Analysis, Lund University
- defense location
- Sal C, Matematikcentrum
- defense date
- 2004-09-28 10:15:00
- external identifiers
-
- other:ISRN: LUNFNA-1003-2004
- ISSN
- 1404-0034
- ISBN
- 91-628-6209-X
- 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
- 4c5d02ff-873f-45c6-ac5e-021478217292 (old id 27616)
- date added to LUP
- 2016-04-01 15:49:06
- date last changed
- 2019-05-21 13:48:05
@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}}, keywords = {{Computer science; Elastic MBS; Contact; Unilateral Contraints; Wavelet; DAE; Daubechies; numerical analysis; systems; control; Datalogi; numerisk analys; system; kontroll}}, language = {{eng}}, publisher = {{Numerical Analysis, Lund University}}, school = {{Lund University}}, series = {{Doctoral Theses in Mathematical Sciences}}, title = {{Wavelet Galerkin methods for elastic multibody systems with unilateral contact constraints}}, year = {{2004}}, }