Limit cycle oscillation suppression of 2-DOF airfoil using nonlinear energy sink

doi:10.1007/s10483-013-1744-7

Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (10): 1277-1290.doi: https://doi.org/10.1007/s10483-013-1744-7

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Limit cycle oscillation suppression of 2-DOF airfoil using nonlinear energy sink

GUO Hu-Lun^1,2, CHEN Yu-Shu^1,2,3, YANG Tian-Zhi⁴

1. School of Mechanical Engineering, Tianjin University, Tianjin 300072, P.R. China;
2. Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control, Tianjin 300072, P.R. China;
3. School of Astronautics, Harbin Institute of Technology, Harbin 150001, P.R. China;
4. Department of Engineering Mechanics, Shenyang Aerospace University, Shenyang 110136, P.R. China

Received:2013-01-26 Revised:2013-04-01 Online:2013-09-29 Published:2013-09-29

Abstract

Abstract: This paper presents a novel mechanical attachment, i.e., nonlinear energy sink (NES), for suppressing the limit cycle oscillation (LCO) of an airfoil. The dynamic responses of a two-degree-of-freedom (2-DOF) airfoil coupled with an NES are studied with the harmonic balance method. Different structure parameters of the NES, i.e., mass ratio between the NES and airfoil, NES offset, NES damping, and nonlinear stiffness in the NES, are chosen for studying the effect of the LCO suppression on an aeroelastic system with a supercritical Hopf bifurcation or subcritical Hopf bifurcation, respectively. The results show that the structural parameters of the NES have different influence on the supercritical Hopf bifurcation system and the subcritical Hopf bifurcation system.

Key words: null, two-degree-of-freedom (2-DOF) airfoil, flutter, limit cycle oscillation (LCO) suppression, nonlinear energy sink (NES)

2010 MSC Number:

34C15
70Kxx

GUO Hu-Lun;CHEN Yu-Shu;YANG Tian-Zhi. Limit cycle oscillation suppression of 2-DOF airfoil using nonlinear energy sink. Applied Mathematics and Mechanics (English Edition), 2013, 34(10): 1277-1290.

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URL: https://www.amm.shu.edu.cn/EN/10.1007/s10483-013-1744-7

https://www.amm.shu.edu.cn/EN/Y2013/V34/I10/1277

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Limit cycle oscillation suppression of 2-DOF airfoil using nonlinear energy sink

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