基于双稳态发电的非线性吸振器的动力学特性及参数影响研究

任博林,刘丽兰,张小静,李淑超

振动与冲击 ›› 2017, Vol. 36 ›› Issue (17) : 220-230.

PDF(3544 KB)
PDF(3544 KB)
振动与冲击 ›› 2017, Vol. 36 ›› Issue (17) : 220-230.
论文

基于双稳态发电的非线性吸振器的动力学特性及参数影响研究

  • 任博林,刘丽兰,张小静,李淑超
作者信息 +

Research on dynamics and parameters influence of nonlinear vibration absorber based on bistable power generation

  • REN Bo-lin,LIU Li-lan,ZHANG Xiao-jing,LI Shu-chao
Author information +
文章历史 +

摘要

基于双稳态发电建立了在简谐激励下的非线性吸振器的动力学模型。从数值仿真的角度研究了在简谐激励下基于双稳态发电的非线性吸振器的动力学特性,分析了激励频率和激励幅值对吸振器发生大幅混沌运动的影响规律。研究了调谐频率比f、质量比μ、非线性强度β和吸振器的阻尼系数γ_1对非线性吸振器和主系统动力学特性的影响,得到了主系统发生共振和非共振情况下非线性吸振器的最优参数配置,为非线性吸振器的优化设计提供理论基础。

Abstract

The dynamics equation of the nonlinear vibration absorber in harmonic excitation is established based on bistable power generation. The dynamic characteristics of the nonlinear vibration absorber excited by harmonic signal are studied by the simulation. The occurring condition of the large amplitude motion of the vibration absorber in harmonic excitation is obtained. The influence of tuned frequency ratio f, mass ratio μ, nonlinear strength β and damping coefficient γ_1 to dynamics of the nonlinear vibration absorber and main system have studied in this paper. In addition, the optimal parameter configuration of the nonlinear vibration absorber are obtained at the resonance region and the non-resonant region. This paper provides a theoretical reference for the study of the optimal design of nonlinear vibration absorber.

关键词

非线性吸振器 / 双稳态发电 / 简谐激励 / 参数配置 / 动力学

Key words

nonlinear vibration absorber / bistable power generation / harmonic excitation / parameters configuration / dynamics

引用本文

导出引用
任博林,刘丽兰,张小静,李淑超. 基于双稳态发电的非线性吸振器的动力学特性及参数影响研究[J]. 振动与冲击, 2017, 36(17): 220-230
REN Bo-lin,LIU Li-lan,ZHANG Xiao-jing,LI Shu-chao. Research on dynamics and parameters influence of nonlinear vibration absorber based on bistable power generation[J]. Journal of Vibration and Shock, 2017, 36(17): 220-230

参考文献

[1] Roundy S, Wright P K, Rabaey J. A study of low level vibrations as a power source for wireless sensor nodes[J]. Computer Communications, 2003, 26(02):1131–1144.
[2] Soliman M S M, El-Saadany E F, Mansour R R. Electromagnetic and electrostatic micro-power generators; an overview[C]// Mechatronics and Automation, 2005 IEEE International Conference. IEEE, 2005:89-93 Vol. 1.
[3] R. Viguié, M. Peeters, G. Kerschen, et al. Energy Transfer and Dissipation in a Duffing Oscillator
Coupled to a Nonlinear Attachment[J]. Journal of Computational & Nonlinear Dynamics, 2009, 4(4):1724-1732.
[4] Gendelman O V, Bar T. Bifurcations of self-excitation regimes in a Van der Pol oscillator with a nonlinear energy sink[J]. Physica D Nonlinear Phenomena, 2010, 239(239):220-229.
[5] Parseh M, Dardel M, Ghasemi M H. Investigating the Robustness of Nonlinear Energy Sink in Steady State Dynamics of Linear Beams with     Different Boundary Conditions[J]. Communications in Nonlinear Science & Numerical Simulation, 2015, 29(1-3):50–71.
[6] Dai H, Abdelkefi A, Wang L. Usefulness of passive nonlinear energy sinks in controlling galloping vibrations[J]. International Journal of Non-Linear Mechanics, 2016, 81:83-94.
[7] Xiong H, Kong X, Yang Z, et al. Response regimes of narrow-band stochastic excited linear oscillator coupled to nonlinear energy sink[J]. Chinese Journal of Aeronautics, 2015, 28(2):457-468.
[8] Ye-Wei Zhang, Hao Zhang, Shuai Hou, et al. Vibration suppression of composite laminated plate with nonlinear energy sink[J]. Acta Astronautica, 2016, 123:109-115.
[9] Han K J, Sapsis T P. Performance measures for single-degree-of-freedom energy harvesters under stochastic excitation[J]. Journal of Sound & Vibration, 2014, 333(19):4695-4710.
[10] 张也弛. 基于非线性能量阱的双共振峰振动抑制的力学特性研究[J]. 航天器环境工程, 2015, 32(5):477-483.
    ZHANG Ye-chi. Research on mechanical properties of double resonance peak vibration suppression based on nonlinear energy trap [J]. spacecraft environment engineering, 2015, 32 (5): 477-483. (in Chinese)
[11] 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 & Signal Processing, 2015, s 62–63:164-182.
[12] 彭海波, 申永军, 杨绍普. 一种含负刚度元件的新型动力吸振器的参数优化. 力学学报, 2015, 47(2): 320-327.
    PENG Hai-bo,SHEN Yong-jun,YANG Shao-pu. Parameter optimization of a new kind of dynamic absorber with negative stiffness element. Journal of mechanics, 2015, 47 (2): 320-327. (in Chinese)
[13] Kremer D, Liu K. A nonlinear energy sink with an energy harvester: Transient responses[J]. Journal of Sound & Vibration, 2014, 333(20):4859-4880.

PDF(3544 KB)

330

Accesses

0

Citation

Detail

段落导航
相关文章

/