Research on energy transfer and vibration suppression of nonlinear energy sink with nonlinear damping

被引：0
作者：
Qi, Xing-ke [1 ]
Zhang, Jian-chao [2 ]
Wang, Jun [1 ,2 ]
Cai, Li-wei [1 ]
机构：
[1] Shijiazhuang Tiedao Univ, Dept Mech Engn, Shijiazhuang, Peoples R China
[2] Shijiazhuang Tiedao Univ, State Key Lab Mech Behav & Syst Safety Traff Engn, Shijiazhuang 050043, Peoples R China
来源：
JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL | 2025年 / 44卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Nonlinear energy sink; complex variable average method; strongly modulated response; saddle-node bifurcation; ACOUSTIC TRANSMISSION;
D O I：
10.1177/14613484241291620
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
The nonlinear energy sink is a nonlinear shock absorber that provides targeted energy transfer and plays a crucial role in structural vibration suppression. In this paper, the energy transfer and dynamic characteristics of nonlinear damping nonlinear energy sink systems are analyzed. Firstly, the theoretical model of the nonlinear damping NES system is described, and secondly, the equations of the system in the free state are derived by using the complex variable average method and the multi-scale method to obtain the energy transfer efficiency equation of the system. Through the study of the slow invariant manifold and energy transfer efficiency of the system, the influence of each system parameter on the energy transfer efficiency is analyzed. Then the equations of the system under harmonic excitation are processed in the same method to obtain the boundary equations of the system, through which the saddle-node bifurcation diagram of the system is plotted to study the influence of each system parameter on the saddle-node bifurcation characteristics of the system. Finally, the slow-varying equation of the system under harmonic excitation is derived, and the influence of each system parameter on the frequency detuning parameter interval of the strongly modulated response is obtained using the phase trajectory and a one-dimensional mapping diagram of the system, and the time-mileage diagram and Poincare section are used to prove the damping effect of the strongly modulated response.
引用
收藏
页码：512 / 532
页数：21
相关论文
共 26 条
  • [1] Nonlinear Energy Sinks With Piecewise-Linear Nonlinearities
    AL-Shudeifat, Mohammad A.
    [J]. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2019, 14 (12):
  • [2] Time-varying stiffness method for extracting the frequency-energy dependence in the nonlinear dynamical systems
    AL-Shudeifat, Mohammad A.
    [J]. NONLINEAR DYNAMICS, 2017, 89 (02) : 1463 - 1474
  • [3] Asadi Jafari MH., 2024, J Vib Control, V30, P4035
  • [4] Innovative negative-stiffness inerter-based mechanical networks
    Barredo, Eduardo
    Lopez Rojas, Gilberto
    Mayen, Jan
    Flores-Hernandez, A. A.
    [J]. INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2021, 205
  • [5] Performance measures for targeted energy transfer and resonance capture cascading in nonlinear energy sinks
    Dekemele, Kevin
    De Keyser, Robin
    Loccufier, Mia
    [J]. NONLINEAR DYNAMICS, 2018, 93 (02) : 259 - 284
  • [6] Attractors of harmonically forced linear oscillator with attached nonlinear energy sink I: Description of response regimes
    Gendelman, O. V.
    Starosvetsky, Y.
    Feldman, M.
    [J]. NONLINEAR DYNAMICS, 2008, 51 (1-2) : 31 - 46
  • [7] Quasiperiodic energy pumping in coupled oscillators under periodic forcing
    Gendelman, O. V.
    Gourdon, E.
    Lamarque, C. H.
    [J]. JOURNAL OF SOUND AND VIBRATION, 2006, 294 (4-5) : 651 - 662
  • [8] Nonlinear energy sink with limited vibration amplitude
    Geng, Xiao-Feng
    Ding, Hu
    Mao, Xiao-Ye
    Chen, Li-Qun
    [J]. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2021, 156
  • [9] Nonlinear energy pumping under transient forcing with strongly nonlinear coupling: Theoretical and experimental results
    Gourdon, E.
    Alexander, N. A.
    Taylor, C. A.
    Lamarque, C. H.
    Pernot, S.
    [J]. JOURNAL OF SOUND AND VIBRATION, 2007, 300 (3-5) : 522 - 551
  • [10] Dynamics of 1-dof and 2-dof energy sink with geometrically nonlinear damping: application to vibration suppression
    Kong, Xianren
    Li, Haiqin
    Wu, Chen
    [J]. NONLINEAR DYNAMICS, 2018, 91 (01) : 733 - 754
123