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Authors:
Kimmerle, Sven-Joachim 
Document type:
Konferenzbeitrag / Conference Paper 
Title:
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...    »
 
Department:
Fakultät für Bauingenieurwesen und Umweltwissenschaften 
Institute:
BAU 1 - Institut für Mathematik und Bauinformatik 
Chair:
Kimmerle, Sven-Joachim (Vertretungsprofessor) 
Open Access yes or no?:
Ja / Yes