航空学报 > 2018, Vol. 39 Issue (6): 221721-221721   doi: 10.7527/S1000-6893.2018.21721

新型可调动力吸振器设计及参数优化

李强, 董光旭, 张希农, 罗亚军, 张亚红, 谢石林   

  1. 西安交通大学 航天航空学院, 机械结构强度与振动国家重点实验室, 西安 710049
  • 收稿日期:2017-09-06 修回日期:2018-03-20 出版日期:2018-06-15 发布日期:2018-03-19
  • 通讯作者: 张希农,E-mail:xnzhang@mail.xjtu.edu.cn E-mail:xnzhang@mail.xjtu.edu.cn

Design and parameter optimization of a new tunable dynamic vibration absorber

LI Qiang, DONG Guangxu, ZHANG Xinong, LUO Yajun, ZHANG Yahong, XIE Shilin   

  1. State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, China
  • Received:2017-09-06 Revised:2018-03-20 Online:2018-06-15 Published:2018-03-19

摘要: 为有效抑制航天设备中由干扰源诱发的低频/超低频振动,提出了一种新型可调动力吸振器(NDVA)。该动力吸振器主要由柔性螺旋弹簧(SFS)及磁性负刚度弹簧(MNSS)组成。将所设计动力吸振器应用于振动控制时,采用平均法推导出系统在简谐激励下的稳态频响方程组及稳定性判据。基于稳定性分析,提出一种优化方法,通过简单迭代获得吸振器最优参数。最后,对提出吸振器的鲁棒稳定性进行分析。结果表明,除可实现低频振动有效抑制外,提出吸振器优越的鲁棒稳定性使得其在实际应用中能取得比线性吸振器更佳的振动控制效果。

关键词: 动力吸振器, 负刚度, 非线性, 鞍结分岔, 鲁棒稳定性

Abstract: To effectively suppress the low-frequency or ultra-low-frequency vibration induced by the disturbances in aerospace equipment, a New tunable Dynamic Vibration Absorber (NDVA) with tuning stiffness is proposed in this paper. The implementation of the NDVA is mainly carried out by connecting a Spiral Flexure Spring (SFS) and a Magnetic Negative Stiffness Spring (MNSS). As the proposed NDVA is applied to suppression of resonance, the steady-state frequency response equations and the stability criterion under harmonic force are derived with the averaging method. Based on stability analysis, a new optimization method is offered to attain the optimal parameters with simple iteration. Robustness of the NDVA is analyzed. The results show that besides attenuating vibration in a large low-frequency range, the proposed NDVA can achieve better vibration reduction effect than the linear absorber due to its advantage of robustness in practical application.

Key words: dynamic absorber, negative stiffness, nonlinearity, saddle-node bifurcation, robustness

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