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Dynamic Nonlinear Aeroelastic Behaviour of Flexible Wings in an Airflow

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Mutiny/TU Delft V2 Leading Edge Inflatable tube kite finite-element model.

(2)

Julius Berens Trainee

Netherlands Organisation for Applied Scientific Research (TNO)

Anna van Buerenplein 1 2595 DA Den Haag

The Netherlands julius.berens@tno.nl

www.tno.nl

Dynamic Nonlinear Aeroelastic Behaviour of Flexible Wings in an Airflow

Julius Berens1, Paolo Tiso2, Roland Schmehl1 1Faculty of Aerospace Engineering, Delft University of Technology

2Faculty of Mechanical, Maritime and Materials Engineering, Delft University of Technology

In the development of pumping cycle based airborne wind energy systems, the usage of kites has been a pop-ular choice. In order to improve the efficiency and con-trollability of the kite, its design needs to be optimized for power generation. These days, kite designs originate from kite-surfing or paragliding. Here safety is the driving design criterion. Therefore it is expected that a redesign for energy generation will yield an improved efficiency of the kite power system. In order to perform this redesign, the flight behaviour of the kite needs to be investigated. This research project builds on previously existing work [1,2,3] in an effort to develop a fluid-structure interactions model that is able to simulate the behaviour of the kite in flight. As this is a very complex task, the analysis tool that is developed in this project is focussed on the local defor-mation behaviour of this wing when it is suspended in an airflow. The tool is able to capture both the dynamic and the static nonlinear aeroelastic behaviour of the wing at reasonable computation speed.

As the nonlinear aeroelastic behaviour is a very com-plex and time consuming problem to solve, the algorithm used separates this model from the dynamic flight simu-lation. A linear simulation is used to simulate this in-flight behaviour. At discrete intervals this linear simulation is corrected using a nonlinear aeroelastic model. This leads to a significant reduction in computational requirements as the nonlinear aeroelastic problem is solved for a lim-ited number of iterations, while it leads to an acceptable

level of accuracy for the description of the dynamic be-haviour of the kite.

For the structural modelling of the wing, a previously de-veloped finite element solver is used [1]. This solver uses triangular shell elements to describe the wing structure. It allows for application of different aerodynamic load models. For the purpose of this project the wing is mod-elled using only these elements, while previously a com-plete LEI structure was modelled [1]. The applied aerody-namic model [2] is a correlation model that relates a min-imum set of parameters to come up with an estimate of the aerodynamic load. The validity of this model is lim-ited but the load estimation can be straightforwardly re-placed by a different method for modelling the aerody-namics.

In this project the existing work on aeroelastic modelling was extensively verified. It provides with a good back-bone for further research into fluid-structure interactions for kites or other flexible membrane wings because of the modular design philosophy.

References:

[1] Bosch A., Schmehl R., Tiso P., Rixen D.: Dynamic nonlinear aeroe-lastic model of a kite for power generation. AIAA Journal of Guid-ance, Control and Dynamics, Vol. 37, No. 5, pp. 1426–1436 (2014) [2] Breukels J.: An engineering methodology for kite design. Ph.D. Thesis, Delft University of Technology (2011)

[3] Geschiere N. H.: Dynamic modelling of a flexible kite for power generation. M.Sc. Thesis, Delft University of Technology (2014)

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