Modelling, simulation and optimization of an elastic structure under moving loads
Collection editors:
Bach, V.; Fassbender, H.
Title of conference publication:
Special Issue: Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung (DMV), Braunschweig 2016
Journal:
Proceedings in Applied Mathematics and Mechanics (PAMM)
Volume:
16
Conference title:
Annual Meeting of the International Association of Applied Mathematics and Mechanics (87., 2016, Braunschweig); Deutsche Mathematiker-Vereinigung (87., 2016, Braunschweig)
Conference title:
Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung (DMV)
Venue:
Braunschweig
Year of conference:
2016
Date of conference beginning:
07.03.2016
Date of conference ending:
11.03.2016
Place of publication:
Weinheim
Publisher:
Wiley-VCH Verlag
Year:
2016
Pages from - to:
697-698
Language:
Englisch
Subject:
Coupled ODE-PDE system, optimal control, finite element methods, linear elasticity
Keywords:
Elastic crane, elastic bridge
Abstract:
We consider an elastic structure that is subject to moving loads representing e.g. heavy trucks on a bridge or a trolley on a crane beam. A model for the quasi-static mechanical behaviour of the structure is derived, yielding a coupled problem involving partial differential equations (PDE) and ordinary differential equations (ODE). The problem is simulated numerically and validated by comparison with a standard formula used in engineering. We derive an optimal policy for passing over potentially fragile bridges. In general, our problem class leads to optimal control problems subject to coupled ODE and PDE. «
We consider an elastic structure that is subject to moving loads representing e.g. heavy trucks on a bridge or a trolley on a crane beam. A model for the quasi-static mechanical behaviour of the structure is derived, yielding a coupled problem involving partial differential equations (PDE) and ordinary differential equations (ODE). The problem is simulated numerically and validated by comparison with a standard formula used in engineering. We derive an optimal policy for passing over potentially... »