Nonlinear Aeroelastic Analysis of a High-Aspect-Ratio Wing with Large Deflection Effects

  • Published : 2006.06.30


In this study, nonlinear static and dynamic aeroelastic analyses for a high-aspect-ratio wing have been performed. To achieve these aims, the transonic small disturbance (TSD) theory for the aerodynamic analysis and the large deflection beam theory considering a geometrical nonlinearity for the structural analysis are applied, respectively. For the coupling between fluid and structure, the transformation of a displacement from the structural mesh to the aerodynamic grid is performed by a shape function which is used for the finite element and the inverse transformation of force by work equivalent load method. To validate the current method, the present analysis results of a high-aspect-ratio wing are compared with the experimental results. Static deformations in the vertical and torsional directions caused by an angle of attack and gravity loading are compared with experimental results. Also, static and dynamic aeroelastic characteristics are investigated. The comparisons of the flutter speed and frequency between a linear and nonlinear analysis are presented.


HALE(High-Altitude;Long-Endurance) Aircraft, Flutter;Nonlinear Aeroelasticity;Large Deflection Beam;Static Aeroelastic Analysis


  1. Pati!. M.J., Hodges, D.H. and Cesnik, C.E.S., 2001, 'Limit-Cycle Oscillations in High Aspect-Ratio Wings', Journal of Fluids and Structures, Vol. 15, pp. 707-132
  2. Tang, D.M. and Dowell, E.H., 2001, 'Experimental and Theoretical Study on Aeroelastic Response of High-Aspect-Ratio Wings', AlAA Journal, Vol. 39, No. 8, pp, 1430-1441
  3. van Schoor, M.C., von Flotow, A.H., 1990, 'Aeroelastic characteristics of a highly flexible aircraft', Journal of Aircraft, Vol. 27, No. 10, pp. 901-908
  4. Pendaries, C., 1998, 'From the HALE Gnopter to the Omithopteror How to Take Advantage of Aircraft Flexibility', AIAA Paper A98 31751
  5. Yoo, J.H., Lim, I.G., and Lee, I., 2006, 'Nonlinear Static Aeroelastic Analysis of a High-Aspect Ratio Wing with Large Deflection Effects', Journal of Korean Society for Aeronautical and Space Science, Vol. 34, No.3, pp. 31-36
  6. Jeon, S.M., Cho, M.H., and Lee, I., 1995, 'Static and Dynamic Analysis of Composite Box Beams using Large Deflection Theory', Computers and Structures, Vol. 57, No. 4, pp. 635-642
  7. Patil, M.J. and Hodges, D.H., 2004, 'On the Importance of Aerodynamic and Structural Geometrical Nonlinearities in Aeroelastic Behavior of High-Aspect-Ratio Wings', Journal of Fluids and Structures, Vol. 19, pp. 905-915
  8. Patil, M.J., Hodges, D.H. and Cesnik, C.E.S., 2001, 'Nonlinear Aeroelasticity and Flight Dynamics of High-Altitude Long-Endurance Aircraft', Journal of Aircraft, Vol. 8, No. 1, pp. 88-94
  9. Kim, D.H. and Lee, I., 2002, 'CFD-Based Matched-point Linear and Nonlinear Flutter Analysis of Sweptback Wings in Transonic and Supersonic Flows', Computational Fluid Dynamics Journal, Vol. 11, No. 1. pp. 35-49
  10. Hall, D., Preidikman, S. and Mook, D.T., 1999, 'A Time-Domain Simulation for Evaluating Smart Wing Concepts for Reducing Gust Loads', ASME Mechanics and Materials Conference, VA, USA