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Nonparametric modeling of self-excited forces based on relations between flutter derivatives

  • Papinutti, Mitja (Faculty of Civil and Geodetic Engineering, University of Ljubljana) ;
  • Cetina, Matjaz (Faculty of Civil and Geodetic Engineering, University of Ljubljana) ;
  • Brank, Bostjan (Faculty of Civil and Geodetic Engineering, University of Ljubljana) ;
  • Petersen, Oyvind W. (Department of Structural Engineering, Faculty of Engineering, Norwegian University of Science and Technology) ;
  • Oiseth, Ole (Department of Structural Engineering, Faculty of Engineering, Norwegian University of Science and Technology)
  • Received : 2019.12.24
  • Accepted : 2020.12.05
  • Published : 2020.12.25
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Abstract

Unsteady self-excited forces are commonly represented by parametric models such as rational functions. However, this requires complex multiparametric nonlinear fitting, which can be a challenging task that requires know-how. This paper explores the alternative nonparametric modeling of unsteady self-excited forces based on relations between flutter derivatives. By exploiting the properties of the transfer function of linear causal systems, we show that damping and stiffness aerodynamic derivatives are related by the Hilbert transform. This property is utilized to develop exact simplified expressions, where it is only necessary to consider the frequency dependency of either the aeroelastic damping or stiffness terms but not both simultaneously. This approach is useful if the experimental data on aerodynamic derivatives that are related to the damping are deemed more accurate than the data that are related to the stiffness or vice versa. The proposed numerical models are evaluated with numerical examples and with data from wind tunnel experiments. The presented method can evaluate any continuous fitted table of interpolation functions of various types, which are independently fitted to aeroelastic damping and stiffness terms. The results demonstrate that the proposed methodology performs well. The relations between the flutter derivatives can be used to enhance the understanding of experimental modeling of aerodynamic self-excited forces for bridge decks.

Keywords

Acknowledgement

This research was sponsored by the Norwegian Public Road Administration. This study is also part of the E39 costal ferry-free highway project. This research is supported and lead by the Norwegian University of Science and Technology in Trondheim. Acknowledged is the contribution from University of Ljubljana, Faculty of Civil and Geodetic Engineering.

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