Airfoil motion in subsonic flow with hysteresis nonlinear restoring force
A two-dimensional airfoil with hysteresis nonlinearity in pitch, and subject to incompressible flow was investigated; the aerodynamic forces on the airfoil were evaluated using Wagners function. First, the harmonic balance prediction was derived to investigate the dynamic response; time integration results are men used for the verification of the harmonic balance results. Although the harmonic balance method cannot predict the quasi-periodic motion, it does give reasonable predictions of equilibrium points and the amplitude of periodical motion, With velocity increasing, the numerical results show the system behavior of switching irregularly between periodic and quasi-periodic motion. As suggested by power spectral density, the phase trajectory and Poincare section of the airfoil time history, and the regions of chaotic motion were obtained. The existence of chaos was confirmed via calculation of the Lyapunov exponents, which is positive. The route to chaos is frequent switching between small-amplitude chaotic motions.
Dao-chun Li Jin-wu Xiang
School of Aeronautic Science and Technology, Beijing University of Aeronautics and Astronautics,Beijing 100083, China
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
1003-1009
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）