NES对二维机翼气弹不稳定性的抑制作用

doi:10.7527/S1000-6893.2016.0013

Abstract

Abstract:

The flow-induced vibration of two-dimensional wing coupled with two nonlinear energy sinks (NESs) under freestream flow is studied by numerical methods, and the relationship between the vibration suppression and targeted energy transfer (TET) of the system is analyzed. The model of the coupling system, which takes into account both heave and pitch motions, is developed, and the NESs are located at the leading edge and the trailing edge (NES1 and NES2) separately. The mechanisms of vibration suppression by NESs are also investigated from the viewpoint of energy transfer, etc., and the resonance captures in the nonlinear coupling system are studied using spectrum analysis. The ensuing TET through the modes of wing (Heave and Pitch) and the NESs are discussed, and the relationship between TET and different limit cycle oscillations of wing are investigated as well. The results show that the NESs can broaden the frequency domain in which the TET and resonance captures between modes can be more available in the coupling system. Therefore, the TET is more efficient between the wing and NESs, thus leading to the increase of the critical velocity of freestream under which the vibration of wing can be suppressed by NESs effectively.

Key words: nonlinear energy sink, vibration suppression, targeted energy transfer, nonlinear vibration, resonance capture

CLC Number:

V211.47

ZHANG Wenfan, ZHANG Jiazhong, CAO Shengli. Suppression of aeroelastic instability of 2-D wing by nonlinear energy sinks[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(11): 3249-3262.

References

[1] KERSCHEN G, LEE Y S, VAKAKIS A F. Irreversible passive energy transfer in coupled oscillators with essential nonlinearity[J]. SIAM Journal on Applied Mathematics, 2006, 66(2):648-679.
[2] NAYFEH A H, MOOK D. Nonlinear oscillations[M]. NewYork:Wiley Interscience, 1985.
[3] NEISHTADT A I. Passage through a separatrix in a resonance problem with a slowly-varying parameter[J]. Prikladnaya Matamatika I Mekhanika, 1975, 39(4):621-632.
[4] QUINN D, RAND R, BRIDGE J. The dynamics of resonant capture[J]. Nonlinear Dynamics, 1995, 8(1):1-20.
[5] QUINN D D. Resonance capture in a three degree-of-freedom mechanical system[J]. Nonlinear Dynamics, 1997, 14(4):309-333.
[6] QUINN D D. Transition to escape in a system of coupled oscillators[J]. International Journal of Non-Linear Mechanics, 1997, 32(6):1193-1206.
[7] FATIMAH S, VERHULST F. Suppressing flow-induced vibrations by parametric excitation[J]. Nonlinear Dynamics, 2003, 31(3):275-298.
[8] GENDELMAN O V, GORLOV D V, MANEVITCH L I, et al. Dynamics of coupled linear and essentially nonlinear oscillators with substantially different masses[J]. Journal of Sound & Vibration, 2005, 286(1-2):1-19.
[9] LEE Y S, VAKAKIS A F, BERGMAN L A, et al. Triggering mechanisms of limit cycle oscillations in a two degree-of-freedom wing flutter model[J]. Journal of Fluids & Structures, 2005, 21(5):1863-1872.
[10] LEE Y S, VAKAKIS A F, BERGMAN L A, et al. Suppression of limit cycle oscillations in the van der Pol oscillator by means of passive non-linear energy sinks[J]. Structural Control & Health Monitoring, 2005, 13(13):41-75.
[11] LEE Y S, KERSCHEN G, VAKAKIS A F, et al. Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment[J]. Physica D:Nonlinear Phenomena, 2005, 204(1):41-69.
[12] LEONID M, AGNESSA K. Nonlinear energy transfer in classical and quantum systems[J]. Physical Review E Statistical Nonlinear & Soft Matter Physics, 2012, 87(2):304-320.
[13] HUBBARD S A, MCFARLAND D M, BERGMAN L A, et al. Targeted energy transfer between a swept wing and winglet-housed nonlinear energy sink[J]. AIAA Journal, 2014, 52(12):2633-2651.
[14] HUBBARD S A, FONTENOT R L, MCFARLAND D M, et al. Transonic aeroelastic instability suppression for a swept wing by targeted energy transfer[J]. Journal of Aircraft, 2014, 51(5):1467-1482.
[15] LEE Y, VAKAKIS A, BERGMAN L, et al. Suppression aeroelastic instability using broadband passive targeted energy transfers, Part 1:Theory[J]. AIAA Journal, 2012, 45(3):693-711.
[16] 张也弛, 孔宪仁, 张红亮. 非线性耦合振子间的靶能量传递研究:保守系统中的完全能量传递[J]. 振动与冲击, 2012, 31(1):150-155. ZHANG Y C, KONG X R, ZHANG H L. Targeted energy transfer among coupled nonlinear oscillators:Complete energy exchange in a conservative system[J]. Journal of Vibration and Shock, 2012, 31(1):150-155(in Chinese).
[17] 张也弛, 孔宪仁, 杨正贤, 等. 非线性吸振器的靶能量传递及参数设计[J]. 振动工程学报, 2011, 24(2):111-117. ZHANG Y C, KONG X R, YANG Z X, et al. Targeted energy transfer and parameter design of a nonlinear vibration absorber[J]. Journal of Vibration Engineering, 2011, 24(2):111-117(in Chinese).
[18] DOWELL E H. A modern course in aeroelasticity[J]. Journal of Mechanical Design, 1995, 103(2):465-466.
[19] KUZNETSOV, YURI A. Elements of applied bifurcation theory[C]//Applied Mathematical Sciences 112. New York:Spring-Verlag, 1995:715-730.
[20] 张家忠. 非线性动力系统的运动稳定性、分岔理论及其应用[M]. 西安:西安交通大学出版社, 2010. ZHANG J Z. The motion stability, bifurcation theory and application of nonlinear dynamic system[M]. Xi'an:Xi'an Jiaotong University Press, 2010(in Chinese).

Suppression of aeroelastic instability of 2-D wing by nonlinear energy sinks

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