航空学报 > 2016, Vol. 37 Issue (11): 3249-3262   doi: 10.7527/S1000-6893.2016.0013

NES对二维机翼气弹不稳定性的抑制作用

张文帆, 张家忠, 曹盛力   

  1. 西安交通大学 能源与动力工程学院, 西安 710049
  • 收稿日期:2015-10-29 修回日期:2016-01-08 出版日期:2016-11-15 发布日期:2016-01-11
  • 通讯作者: 张家忠,男,博士,教授,博士生导师。主要研究方向:Navier-Stokes方程、湍流中的奇异性、非线性行为和建模,以及通向湍流的途径、相应的数值分析方法。Tel.:029-82664177,E-mail:jzzhang@mail.xjtu.edu.cn E-mail:jzzhang@mail.xjtu.edu.cn
  • 作者简介:张文帆,男,博士研究生。主要研究方向:流动稳定性分析及结构气弹自适应流动控制,非线性振动及靶向能量传递。E-mail:sheen.z@163.com;张家忠,男,博士,教授,博士生导师。主要研究方向:Navier-Stokes方程、湍流中的奇异性、非线性行为和建模,以及通向湍流的途径、相应的数值分析方法。Tel.:029-82664177,E-mail:jzzhang@mail.xjtu.edu.cn;曹盛力,男,博士研究生。主要研究方向:流动稳定性分析及结构气弹自适应流动控制。E-mail:csl1993@stu.xjtu.edu.cn
  • 基金资助:

    国家“973”计划(2012CB026002);国家科技支撑计划(2013BAF01B02)

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

ZHANG Wenfan, ZHANG Jiazhong, CAO Shengli   

  1. School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, China
  • Received:2015-10-29 Revised:2016-01-08 Online:2016-11-15 Published:2016-01-11
  • Supported by:

    National Basic Research Program of China (2012CB026002); National Key Technology Research and Development Program of China (2013BAF01B02)

摘要:

采用数值方法研究了加装非线性能量汇(NES)的二维机翼在不同速度来流下的振动响应机制,着重探索了NES对系统振动的抑制以及系统内的靶向能量传递(TET)特性。首先,建立了加装在机翼前缘及后缘的NES与二维机翼的耦合系统模型,该模型考虑了机翼的沉浮与扭转振动。然后,从非线性振动响应和能量传递等几个方面研究了前NES与后NES对机翼振动的抑制效果和机制。进一步,应用频谱分析发现了此非线性耦合系统振动中存在共振捕获(resonance captures)特性,同时研究了前、后NES与机翼振动模式(沉浮与俯仰)间的靶向能量传递现象与机翼不同的极限环运动之间的对应关系。结果表明,采用前、后都加装NES的方法能够拓宽NES与机翼振动模式间发生靶向能量传递与共振捕获的频率范围,从而提升NES对机翼振动进行有效抑制的临界来流速度。

关键词: 非线性能量汇, 振动抑制, 靶向能量传递, 非线性振动, 共振捕获

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

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