Bifurcations of vortex-induced vibrations of a fixed membrane wing at Re ≤ 1000.

Autor: Sun, Xu, Wang, Shi-Zhao, Zhang, Jia-Zhong, Ye, Ze-Hua
Zdroj: Nonlinear Dynamics; Mar2018, Vol. 91 Issue 4, p2097-2112, 16p
Abstrakt: Vortex-induced vibrations (VIVs) of a fixed two-dimensional perimeter-reinforced (PR) membrane wing at 0≤αRe (Reynolds number) ≤ 1000 and 0∘≤α (angle of attack) ≤ 30∘ are investigated using fluid–structure interaction simulations. By employing very fine increments for Re and α, bifurcation boundaries of the dynamic response of the membrane wing in the Re–α plane are captured. With increase in Re and/or α, it is found that the VIV state of a fixed PR membrane wing will change progressively from static state to period 1 via a Hopf bifurcation and then from period 1 to multiple period and chaos via a succession of period-doubling bifurcations. The Hopf bifurcation is triggered by the shedding of the leading- and/or trailing-edge vortices, while the period-doubling bifurcations are induced by the appearance and evolution of the secondary vortices on the upper surface of the membrane wing at higher Re and α. With an increase in the structure rigidity or pre-strain, the overall responses of the membrane wing are not changed much in the Re–α plane except that the period 1 response near 700≤Re≤1000 and 14∘≤α≤16∘ is destroyed, due to the significant change of the shedding process of the leading-edge vortices. Moreover, it is also found that unsteady responses of the PR membrane wing at α=0∘ can be suppressed by small pre-strain. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index