Bifurcations of vortex-induced vibrations of a fixed membrane wing at Re $$\le $$≤ 1000

Autor: Jiazhong Zhang, Xu Sun, Shi-Zhao Wang, Ze-Hua Ye
Rok vydání: 2017
Předmět:
Zdroj: Nonlinear Dynamics. 91:2097-2112
ISSN: 1573-269X
0924-090X
DOI: 10.1007/s11071-017-4004-1
Popis: Vortex-induced vibrations (VIVs) of a fixed two-dimensional perimeter-reinforced (PR) membrane wing at $$0\le \alpha $$ Re (Reynolds number) $$\le $$ 1000 and $$0^\circ \le \alpha $$ (angle of attack) $$\le $$ 30 $$^{\circ }$$ are investigated using fluid–structure interaction simulations. By employing very fine increments for Re and $$\alpha $$ , bifurcation boundaries of the dynamic response of the membrane wing in the Re– $$\alpha $$ plane are captured. With increase in Re and/or $$\alpha $$ , 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 $$\alpha $$ . With an increase in the structure rigidity or pre-strain, the overall responses of the membrane wing are not changed much in the Re– $$\alpha $$ plane except that the period 1 response near $$700\le Re\le 1000$$ and $$14^{\circ }\le \alpha \le 16^{\circ }$$ 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 $$\alpha =0^{\circ }$$ can be suppressed by small pre-strain.
Databáze: OpenAIRE
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