Optimal Control of an Elastic Tyre-Damper System with Road Contact
Collection editors:
Steinmann, Paul; Leugering, Günter
Title of conference publication:
Special Issue: 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
Journal:
Proceedings in Applied Mathematics and Mechanics (PAMM)
Volume:
14
Issue:
1
Organizer (entity):
GAMM (Gesellschaft für Angewandte Mathematik und Mechanik)
Conference title:
Annual Meeting of the International Association of Applied Mathematics and Mechanics (85., 2014, Erlangen); Deutsche Mathematiker-Vereinigung (85., 2014, Erlangen)
Venue:
Erlangen
Year of conference:
2014
Date of conference beginning:
10.03.2014
Date of conference ending:
13.03.2014
Place of publication:
Weinheim
Publishing institution:
GAMM
Publisher:
Wiley-VCH Verlag
Year:
2014
Pages from - to:
875-876
Language:
Englisch
Abstract:
We study an elastic tyre with a wheel rim that is suspended at the chassis of a car by means of a spring-damper element. This quarter car model may be controlled by varying the damping constant of the electrorheological damper. Our mathematical model yields a coupled ODE-PDE problem with a free boundary at the tyre-road contact. In this study we approximate the tyre by the Hertz contact stress formula. The resulting optimal control problem with control constraints is solved numerically.