Further study on aeroelastic response of aircraft wing with freeplay

Abstract

The complex aeroelastic equation of an aircraft wing with freeplay nonlinearity was built and applied for aeroelastic response analysis. This took into account multiple lumped mass points and directions of the control surface using the Roger rational function approximation. The aerodynamic analysis was based on the subsonic doublet lattice method and the external program of time history analysis method was employed. The aeroelastic response results show that amplitudes of generalized displacement considering the freeplay effect is decreased compared with those not considering the freeplay effect, and influenced by freeplay stiffness coefficients. Constant and variable step length calculations of the fourth order Runge-Kutta method can influence the results and efficiency.

Keywords

Aeroelastic response freeplay nonlinearity Roger rational function approximation Runge-Kutta method subsonic doublet lattice method

Get full access to this article

View all access options for this article.

References

Chung

Chan

Lee

BHK

(2007) Bifurcation analysis of a two-degree-freedom aeroelastic system with freeplay structure nonlinearity by a perturbation-incremental method. Journal of Sound and Vibration 299: 520–539.

Conner

Tang

Dowell

(1997) Nonlinear behavior of a typical airfoil section with control surface freeplay: A numerical and experimental study. Journal of Fluids and Structures 11(1): 89–109.

Henshaw

Badcock

Vio

(2007) Non-linear aeroelastic prediction for aircraft application. Progress in Aerospace Sciences 43: 65–137.

Xiang

(2007) Flutter control of aeroelasticity with freeplay nonlinearity. Journal of Beijing University of Aeronautics and Astronautics 33(6): 640–643.

O’Neil

Strganac

(1998) Aeroelastic response of a rigid wing supported by nonlinear springs. Journal of Aircraft 35(4): 616–622.

Ran

Han

Yun

(2007) Development of aeroelastic response solution sequence with DMAP language for freeplay nonlinear structure. Journal of Nanjing University of Aeronautics and Astronautics 39(1): 41–45.

Ran

Liu

Zhang

(2009) Analysis of the nonlinear aeroelastic response for large-aspect-ratio wing. Acta Aerodynamica Sinica 27(4): 394–397.

Ren

Zhang

(2006) The flutter study of a two-dimensional airfoil with asymmetry freeplay. Engineering Mechanics 23(9): 24–29.

Tang

Dowell

(1993) Comparison of theory and experiment for nonlinear flutter and stall response of a helicopter blade. Journal of Sound and Vibration 165(2): 251–276.

10.

Yang

Zhao

(1988) Analysis of limit cycle flutter of an airfoil in incompressible flow. Journal of Sound and Vibration 123(1): 1–13.

11.

Zhao

(2003) Aeroelastic analysis of a two-dimensional airfoil with control surface freeplay nonlinearity. Acta Aeronoutica et Astronautica Sinica 21(6): 521–525.