The evaluation of a nonlinear energy sink absorber based on the transmissibility

被引：79
作者：
Zang, Jian [1 ]
Zhang, Ye-Wei [1 ,2 ]
Ding, Hu [1 ,3 ]
Yang, Tian-Zhi [2 ,4 ]
Chen, Li-Qun [1 ,3 ,5 ]
机构：
[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
[2] Shenyang Aerosp Univ, Fac Aerosp Engn, Shenyang 110136, Liaoning, Peoples R China
[3] Shanghai Univ, Dept Mech, Shanghai 200444, Peoples R China
[4] Tianjin Univ, Dept Mech, Tianjin 300072, Peoples R China
[5] Shanghai Key Lab Energy Engn Mech, Shanghai 200072, Peoples R China
来源：
MECHANICAL SYSTEMS AND SIGNAL PROCESSING | 2019年 / 125卷
基金：
中国国家自然科学基金;
关键词：
Transmissibility; Nonlinear energy sink; Harmonic balance method; Root mean square; Arc-length continuation; NES; STEADY-STATE DYNAMICS; ACTIVE VIBRATION ISOLATION; RESONANCE CAPTURES; COMPLEX DYNAMICS; OSCILLATORS; TRANSFERS; OPTIMIZATION; SYSTEMS; INTEGRATION; EFFICIENCY;
D O I：
10.1016/j.ymssp.2018.05.061
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
A generalized transmissibility is proposed to evaluate nonlinear vibration absorbers. Due to possible existence of higher order harmonics and aperiodic motion, the root mean square is employed to define the transmissibility. The transmissibility beyond harmonic motion is applied to measure vibration reduction of a structure coupled with a nonlinear energy sink. Periodic steady-state responses of the coupled system are analytically predicted by the method of harmonic balance, and the stabilities of the responses are determined. The effects of parameters of the nonlinear energy sink on the transmissibility are explored based on harmonic balance solutions and numerical simulations. Phase portraits, Poincare map and frequency spectrum reveal that quasi-periodic motions occur when periodic responses are unstable. Finally, two evaluation approaches based on the energetics and the transmissibility are compared. The investigation demonstrates the quasi-periodic motion is an indication of the optimal transmissibility. The performance of nonlinear energy sink absorbers may be extremely sensitive to parameter variations. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：99 / 122
页数：24
相关论文
共 47 条
  • [31] Application of broadband nonlinear targeted energy transfers for seismic mitigation of a shear frame: Experimental results
    Nucera, F.
    Lo Iocono, F.
    McFarland, D. M.
    Bergman, L. A.
    Vakakis, A. F.
    [J]. JOURNAL OF SOUND AND VIBRATION, 2008, 313 (1-2) : 57 - 76
  • [32] Steady state dynamics of a non-linear beam coupled to a non-linear energy sink
    Parseh, Masoumeh
    Dardel, Morteza
    Ghasemi, Mohammad Hassan
    Pashaei, Mohammad Hadi
    [J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2016, 79 : 48 - 65
  • [33] Performance comparison of nonlinear energy sink and linear tuned mass damper in steady-state dynamics of a linear beam
    Parseh, Masoumeh
    Dardel, Morteza
    Ghasemi, Mohammad Hassan
    [J]. NONLINEAR DYNAMICS, 2015, 81 (04) : 1981 - 2002
  • [34] Investigating the robustness of nonlinear energy sink in steady state dynamics of linear beams with different boundary conditions
    Parseh, Masoumeh
    Dardel, Morteza
    Ghasemi, Mohammad Hassan
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 29 (1-3) : 50 - 71
  • [35] Efficiency of targeted energy transfers in coupled nonlinear oscillators associated with 1:1 resonance captures:: Part I
    Quinn, D. Dane
    Gendelman, Oleg
    Kerschen, Gaetan
    Sapsis, Thernistoklis P.
    Bergman, Lawrence A.
    Vakakis, Alexander F.
    [J]. JOURNAL OF SOUND AND VIBRATION, 2008, 311 (3-5) : 1228 - 1248
  • [36] Passive vibration control in rotor dynamics: Optimization of composed support using viscoelastic materials
    Ribeiro, Eduardo Afonso
    Pereira, Jucelio Tomas
    Bavastri, Carlos Alberto
    [J]. JOURNAL OF SOUND AND VIBRATION, 2015, 351 : 43 - 56
  • [37] Rivin E., 2004, APPL MECH REV, V57, P831
  • [38] Roberson R.E., 1952, J. of the Franklin Institute, V254, P205, DOI [10.1016/0016-0032(52)90457-2, DOI 10.1016/0016-0032(52)90457-2]
  • [39] Efficiency of targeted energy transfers in coupled nonlinear oscillators associated with 1:1 resonance captures: Part II, analytical study
    Sapsis, T. P.
    Vakakis, A. F.
    Gendelman, O. V.
    Bergman, L. A.
    Kerschen, G.
    Quinn, D. D.
    [J]. JOURNAL OF SOUND AND VIBRATION, 2009, 325 (1-2) : 297 - 320
  • [40] Passive method for controlling the nonlinear characteristics in a parametrically excited hinged-hinged beam by the addition of a linear spring
    Shibata, A.
    Ohishi, S.
    Yabuno, H.
    [J]. JOURNAL OF SOUND AND VIBRATION, 2015, 350 : 111 - 122
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