Influence of geometric nonlinearity of rectangular plate on vibration reduction performance of nonlinear energy sink

被引:0
作者
Wei-xing Zhang
Jian-en Chen
机构
[1] Tianjin University of Technology,Tianjin Key Laboratory for Advanced Mechatronic System Design and Intelligent Control, School of Mechanical Engineering
[2] Tianjin University of Technology,National Demonstration Center for Experimental Mechanical and Electrical Engineering Education
来源
Journal of Mechanical Science and Technology | 2020年 / 34卷
关键词
Nonlinear energy sink; Geometrical nonlinearity; Higher branch; Harmonic excitation;
D O I
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中图分类号
学科分类号
摘要
The differences between the vibration reduction of a NES (nonlinear energy sink) on a nonlinear plate and a linear plate are compared, and the effect of NES on the nonlinear plate is mainly analyzed. The nonlinear equations of the plates connected to NES are derived and subsequently solved by the complexification-averaging method and least square method. The amplitude of the first mode of the nonlinear plate is several times higher than that of the linear plate under large excitation when the two plates are attached to identical NES. The amplitudes of the second mode of the two NES equipped plate are similar. However, super-harmonic resonance responses of the two systems are significantly different. The evolution of the higher branch responses in super-harmonic resonance frequency band of the second mode is analyzed, and found to be significantly different with respect to that in the primary resonance frequency band of the first mode.
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页码:3127 / 3135
页数:8
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共 129 条
  • [1] Yamaguchi H(1993)Fundamental characteristics of multiple tuned mass dampers for suppressing harmonically forced oscillations Earthq. Eng. Struct. D 22 51-62
  • [2] Harnpornchai N(2012)Optimum vibration absorber (tuned mass damper) design for linear damped systems subjected to random loads J. Sound Vib. 331 3035-3049
  • [3] Tigli O F(2000)An actively tuned solid-state vibration absorber using capacitive shunting of piezoelectric stiffness J. Sound Vib. 232 601-617
  • [4] Davis C L(2001)Energy pumping in nonlinear mechanical oscillators: Part I. Dynamics of the underlying Hamiltonian systems J. Appl. Mech. 68 34-41
  • [5] Lesieutre G A(2001)Energy pumping in nonlinear mechanical oscillators: Part II. Resonance capture J. Appl. Mech. 68 42-48
  • [6] Gendelman O V(2006)Quasiperiodic energy pumping in coupled oscillators under periodic forcing J. Sound Vib. 294 651-662
  • [7] Manevitch L I(2006)Nonlinear energy sink with uncertain parameters J. Comput. Nonlinear Dynam. 1 187-195
  • [8] Vakakis A F(2017)Response attenuation in a large-scale structure subjected to blast excitation utilizing a system of essentially nonlinear vibration absorbers J. Sound Vib. 389 52-72
  • [9] Closkey R M(2017)Reducing thermal shock-induced vibration of an axially moving beam via a nonlinear energy sink Nonlinear Dynam. 87 1159-1167
  • [10] Vakakis A F(2015)Quenching chatter instability in turning process with a vibro-impact nonlinear energy sink J. Sound Vib. 355 392-406