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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 793216, 9 pages
Research Article

Validation of Simulation Models without Knowledge of Parameters Using Differential Algebra

1Fraunhofer Institute for Structural Durability and System Reliability LBF, 64289 Darmstadt, Germany
2Institute for Mechanics, Otto-von-Guericke University, 39106 Magdeburg, Germany

Received 5 March 2015; Revised 29 June 2015; Accepted 1 July 2015

Academic Editor: Yuri Vladimirovich Mikhlin

Copyright © 2015 Björn Haffke 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.


This study deals with the external validation of simulation models using methods from differential algebra. Without any system identification or iterative numerical methods, this approach provides evidence that the equations of a model can represent measured and simulated sets of data. This is very useful to check if a model is, in general, suitable. In addition, the application of this approach to verification of the similarity between the identifiable parameters of two models with different sets of input and output measurements is demonstrated. We present a discussion on how the method can be used to find parameter deviations between any two models. The advantage of this method is its applicability to nonlinear systems as well as its algorithmic nature, which makes it easy to automate.