Wavelet Galerkin methods for elastic multibody systems with unilateral contact constraints

Research output: ThesisDoctoral Thesis (monograph)

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.

Details

Authors
  • José Díaz López
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics

Keywords

  • Computer science, Elastic MBS, Contact, Unilateral Contraints, Wavelet, DAE, Daubechies, numerical analysis, systems, control, Datalogi, numerisk analys, system, kontroll
Original languageEnglish
QualificationDoctor
Awarding Institution
Supervisors/Assistant supervisor
Award date2004 Sep 28
Publisher
  • Numerical Analysis, Lund University
Print ISBNs91-628-6209-X
Publication statusPublished - 2004
Publication categoryResearch

Bibliographic note

Defence details Date: 2004-09-28 Time: 10:15 Place: Sal C, Matematikcentrum External reviewer(s) Name: Simeon, Bernd Title: Prof. Affiliation: Munich --- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)