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Mathematical modeling and parameters estimation of a car crash using data-based regressive model approach

Authors
Journal
Applied Mathematical Modelling
0307-904X
Publisher
Elsevier
Publication Date
Volume
35
Issue
10
Identifiers
DOI: 10.1016/j.apm.2011.04.024
Keywords
  • Regressive Models
  • Parameters Estimation
  • Viscoelastic Modeling
  • Virtual Experiment

Abstract

Abstract In this paper we present the application of regressive models to simulation of car-to-pole impacts. Three models were investigated: RARMAX, ARMAX and AR. Their suitability to estimate physical system parameters as well as to reproduce car kinematics was examined. It was found out that they not only estimate the one quantity which was used for their creation (car acceleration) but also describe the car’s acceleration, velocity and crush. A virtual experiment was performed to obtain another set of data for use in further research. An AR model to predict the behavior of a low-speed car impacting a rigid barrier was created and verified.

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