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PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping
Transonic Speed Flutter Analysis of a Rectangular Wing using the OpenFOAM Computational Fluid Dynamics Code and the Dynamic Stiffness Method
H.I. Kassem and J.R. Banerjee
School of Mathematics, Computer Science & Engineering, City University London, United Kingdom
H.I. Kassem, J.R. Banerjee, "Transonic Speed Flutter Analysis of a Rectangular Wing using the OpenFOAM Computational Fluid Dynamics Code and the Dynamic Stiffness Method", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 110, 2015. doi:10.4203/ccp.108.110
Keywords: aeroelasticity, computational fluid dynamics, transonic flow, Goland wing, flutter.
This paper focuses on the coupling between a high fidelity aerodynamic model for the flow field and a relatively low fidelity model for modal analysis of the structure of a cantilever wing. This coupled aeroelastic model is implemented in one of the widely used open source computational fluid dynamics code called OpenFOAM. The methodology is developed to compute the structural displacements in the time domain based on the free vibration modes of the structure by constructing the numerical model directly from the modal analysis. The wing is idealized as a uniform cantilever beam and the free vibrational normal modes are computed by using the dynamic stiffness method. For each mode a second order ordinary differential equation as a function of the generalized coordinates is solved. A density based solver using central difference scheme of Kurganov and Tadmor is used to model the flow field. The main case study in this paper is focused on the well-known Goland wing (without store), "heavy" version. It is a rectangular wing, but has a parabolic aerofoil cross-section which was also assumed by other investigators. Predicted results from the current analysis show reasonable agreement with published literature. The work, described in this paper, is at the threshold of a fully coupled problem combining the dynamic stiffness method for composite beams and/or plates and nonlinear fluid model for transonic flow.
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