The Secondary Bifurcation of an Aeroelastic Airfoil Motion: Effect of High Harmonics |
| |
Authors: | Liu Liping Dowell Earl H |
| |
Institution: | (1) Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC, 27708, U.S.A |
| |
Abstract: | The nonlinear dynamical response of a two-degree-of-freedom aeroelastic airfoil motion with cubic restoring forces is investigated. A secondary bifurcation after the primary Hopf (flutter) bifurcation is detected for a cubic hard spring in the pitch degree-of-freedom. Furthermore, there is a hysteresis in the secondary bifurcation: starting from different initial conditions the motion may jump from one limit cycle to another at different fluid flow velocities. A high-order harmonic balance method is employed to investigate the possible bifurcation branches. Furthermore, a numerical time simulation procedure is used to confirm the stable and unstable bifurcation branches. |
| |
Keywords: | airfoil motions cubic restoring forces high-order harmonic balance method perturbation secondary bifurcations |
本文献已被 SpringerLink 等数据库收录! |
|