|
|
|
| Vibration reduction efficiency and damping connection type of multi-scale series nonlinear energy sinks |
| CHEN Jian’en，ZHANG Weixing，LIU Jun，GE Weimin |
1.Tianjin Key Laboratory for Advanced Mechatronic System Design and Intelligent Control, School of Mechanical Engineering, Tianjin University of Technology, Tianjin 300384, China;
2.National Demonstration Center for Experimental Mechanical and Electrical Engineering Education, Tianjin University of Technology, Tianjin 300384, China |
|
|
|
Abstract The vibration reduction efficiencies of series nonlinear energy sinks with decreasing parameters under impact and sweep excitations are studied, and the effect of damping grounded type on the vibration reduction efficiency is analyzed. The efficiencies of the series NESs are compared with those of the single-degree-of-freedom NESs. The non-dimensional dynamic equations of the systems are derived and the effects of each purely cubic oscillator in the two series NESs on the energy dissipation are analyzed by numerical method. The results show that, when the excitation amplitude is relatively low, the NESs with ungrounded damping are more effective than the NESs with grounded damping, and the grounded series NES has a significant advantage when the system is imposed in a wide range of excitation amplitude. In addition, the energy dissipation of each purely cubic oscillator varies with the increase of the excitation amplitudes, and the lightest third oscillator dissipates the most energy.
|
|
Received: 25 January 2021
Published: 28 May 2022
|
|
|
|
[1] Tigli O F. Optimum vibration absorber (tuned mass damper) design for linear damped systems subjected to random loads[J]. Journal of Sound and Vibration, 2012, 331(13): 3035-3049.
[2] Davis C L, Lesieutre G A. An actively tuned solid-state vibration absorber using capacitive shunting of piezoelectric stiffness[J]. Journal of Sound and Vibration, 2000, 232(3): 601-617.
[3] Sun J Q, Jolly M R, Norris M A. Passive, adaptive and active tuned vibration absorbers: a survey[J]. Journal of Mechanical Design, 1995, 117(B): 234-242.
[4] Gendelman O V, Gourdon E, Lamarque C H. Quasiperiodic energy pumping in coupled oscillators under periodic forcing[J]. Journal of Sound and Vibration, 2006, 294(4-5): 651-662.
[5] Gourdon E, Lamarque C H. Nonlinear energy sink with uncertain parameters[J]. Journal of Computational and Nonlinear Dynamics, 2006, 1(3): 187-195.
[6] Gendelman O V. Transition of energy to a nonlinear localized mode in a highly asymmetric system of two oscillators[J]. Nonlinear Dynamics, 2001, 25(1-3): 237-253.
[7] Nucera F, Vakakis A F, Mcfarland D M, et al. Targeted energy transfers in vibro-impact oscillators for seismic mitigation[J]. Nonlinear Dynamics, 2007, 50(3): 651-677.
[8] Lin D C, Oguamanam D C D. Targeted energy transfer efficiency in a low-dimensional mechanical system with an essentially nonlinear attachment[J]. Nonlinear Dynamics, 2015, 82(1-2): 971-986.
[9] Gourdon E, Alexander N A, Taylor C A, et al. Nonlinear energy pumping under transient forcing with strongly nonlinear coupling: Theoretical and experimental results[J]. Journal of Sound and Vibration, 2007, 300(3): 522-551.
[10] Zhang Y W, Zhang H, Hou S, et al. Vibration suppression of composite laminated plate with nonlinear energy sink[J]. Acta Astronautica, 2016, 123: 109-115.
[11] 陈勇, 徐羿. 基于非线性能量吸振器的高耸结构减振分析[J]. 振动与冲击, 2014, 33(9): 27-32.
Chen Yong, Xu Yi. Vibration suppression analysis for a tall structure attached with a nonlinear energy sink absorber[J]. Journal of Vibration and Shock, 2014, 33(9): 27-32.
[12] Yang T Z, Yang X D, Li Y, et al. Passive and adaptive vibration suppression of pipes conveying fluid with variable velocity[J]. Journal of Vibration and Control, 2014, 20(9): 1293-1300.
[13] Zhang Y W, Yuan B, Fang B, et al. Reducing thermal shock-induced vibration of an axially moving beam via a nonlinear energy sink[J]. Nonlinear Dynamics, 2017, 87(2): 1159-1167.
[14] Bab S, Khadem S E, Mahdiabadi M K, et al. Vibration mitigation of a rotating beam under external periodic force using a nonlinear energy sink[J]. Journal of Vibration and Control, 2015, 23(6): 1-25.
[15] Zhang W, Liu Y, Cao S, et al. Targeted energy transfer between 2-D wing and nonlinear energy sinks and their dynamic behaviors[J]. Nonlinear Dynamics, 2017, 90(3): 1841-1850.
[16] Gourc E, Seguy S, Michon G, et al. Chatter control in turning process with a nonlinear energy sink[J]. Advanced Materials Research, 2013, 698: 89-98.
[17] Gendelman O V, Sapsis T, Vakakis A F, et al. Enhanced passive targeted energy transfer in strongly nonlinear mechanical oscillators[J]. Journal of Sound and Vibration, 2011, 330(1): 1-8.
[18] Grinberg I, Lanton V, Gendelman O V. Response regimes in linear oscillator with 2DOF nonlinear energy sink under periodic forcing[J]. Nonlinear Dynamics, 2012, 69(4): 1889–1902.
[19] Tsakirtzis S, Panagopoulos P N, Kerschen G, et al. Complex dynamics and targeted energy transfer in linear oscillators coupled to multi-degree-of-freedom essentially nonlinear attachments[J]. Nonlinear Dynamics, 2007, 48(3): 285–318.
[20] 孔宪仁, 张也弛. 两自由度非线性吸振器在简谐激励下的振动抑制[J]. 航空学报, 2012, 33(6):1020-1029.
Kong Xianren, Zhang Yechi. Vibration suppression of a two-degree-of-freedom nonlinear energy sink under harmonic excitation[J]. Acta Aeronautica et Astronautica Sinica, 2012, 33(6): 1020-1029.
[21] Taghipour J, Dardel M. Steady state dynamics and robustness of a harmonically excited essentially nonlinear oscillator coupled with a two-DOF nonlinear energy sink[J].Mechanical Systems and Signal Processing, 2015, 62-63: 164-182.
|
|
|
|
