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Journal of Applied Mathematics
Volume 2014, Article ID 150319, 10 pages
Research Article

Firefly Optimization and Mathematical Modeling of a Vehicle Crash Test Based on Single-Mass

1Department of Engineering, Faculty of Engineering of Science, University of Agder, 4898 Grimstad, Norway
2Department of Technology, Institute for Process Technology, Telemark University College, 3914 Porsgrunn, Norway

Received 7 May 2014; Accepted 9 June 2014; Published 22 June 2014

Academic Editor: Weichao Sun

Copyright © 2014 Andreas Klausen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In this paper mathematical modeling of a vehicle crash test based on a single-mass is studied. The model under consideration consists of a single-mass coupled with a spring and/or a damper. The parameters for the spring and damper are obtained by analyzing the measured acceleration in the center of gravity of the vehicle during a crash. A model with a nonlinear spring and damper is also proposed and the parameters will be optimized with different damper and spring characteristics and optimization algorithms. The optimization algorithms used are interior-point and firefly algorithm. The objective of this paper is to compare different methods used to establish a simple model of a car crash and validate the results against real crash data.