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 simplified model of a rolling bearing is taken as test case of a typical industrial application.
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.
| Original language | English |
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| Qualification | Doctor |
| Awarding Institution |
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| Supervisors/Advisors |
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| Award date | 2004 Sept 28 |
| Publisher | |
| ISBN (Print) | 91-628-6209-X |
| Publication status | Published - 2004 |
Bibliographical note
Defence detailsDate: 2004-09-28
Time: 10:15
Place: Sal C, Matematikcentrum
External reviewer(s)
Name: Simeon, Bernd
Title: Prof.
Affiliation: Munich
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The information about affiliations in this record was updated in December 2015.
The record was previously connected to the following departments: Numerical Analysis (011015004)
Subject classification (UKÄ)
- Mathematics
Free keywords
- Computer science
- Elastic MBS
- Contact
- Unilateral Contraints
- Wavelet
- DAE
- Daubechies
- numerical analysis
- systems
- control
- Datalogi
- numerisk analys
- system
- kontroll