考虑非线性阻尼的双稳态电磁式吸振器的动力学特性研究

刘丽兰, 任博林,朱国栋,杨倩倩

振动与冲击 ›› 2017, Vol. 36 ›› Issue (17) : 91-96.

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (17) : 91-96.
论文

考虑非线性阻尼的双稳态电磁式吸振器的动力学特性研究

  • 刘丽兰, 任博林,朱国栋,杨倩倩
作者信息 +

Research on dynamics of the bistable electromagnetic vibration absorber with nonlinear damping

  • LIU Li-lan, REN Bo-lin, ZHU Guo-dong, YANG Qian-qian
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文章历史 +

摘要

本文将非线性阻尼引入到双稳态电磁式振动能量捕获器中,提出了考虑非线性阻尼的双稳态吸振器。建立了考虑非线性阻尼的双稳态吸振器和主系统的力学模型和数学模型。分析了考虑非线性阻尼的双稳态吸振器随非线性阻尼系数的分岔情况。数值仿真研究发现,特别是在频率共振区域,考虑附加非线性阻尼的双稳态吸振器比线性阻尼的双稳态吸振器对主系统减振更有优势。并进一步获得了主系统及考虑非线性阻尼的双稳态吸振器振动能量随非线性阻尼参数的变化曲线,发现了非线性阻尼对主系统减振及吸振器发电的影响规律。上述研究工作可为双稳态吸振器的研究提供参考。

Abstract

The nonlinear damping is added into the bistable electromagnetic vibration harvester. The bistable electromagnetic vibration energy harvester with nonlinear damping as a nonlinear vibration absorber is put forward in the paper. The mechanical and mathematical model of the main system and the bistable vibration absorber with nonlinear damping is established. The bifurcation diagram of the nonlinear vibration absorber and nonlinear damping is obtained.  The vibration effect of the main system with bistable vibration absorber with nonlinear damping is superior to that with linear damping by means of simulation, especially in the resonance region. Furthermore, the relationship curve of the vibration energy of the main system and the bistable vibration absorber and nonlinear damping is obtained.  The influence laws of the nonlinear damping on the vibration energy of the main system and average output power are obtained. The above research results can provide a reference for the study of the bistable vibration absorber.
 

关键词

非线性阻尼 / 双稳态吸振器 / 共振 / 振动能量 / 平均功率

Key words

nonlinear damping / bistable vibration absorber / resonance / average energy / average output power

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刘丽兰, 任博林,朱国栋,杨倩倩. 考虑非线性阻尼的双稳态电磁式吸振器的动力学特性研究[J]. 振动与冲击, 2017, 36(17): 91-96
LIU Li-lan, REN Bo-lin, ZHU Guo-dong, YANG Qian-qian. Research on dynamics of the bistable electromagnetic vibration absorber with nonlinear damping[J]. Journal of Vibration and Shock, 2017, 36(17): 91-96

参考文献

[1] Denoyer K K, Johnson C D, Denoyer K K, et al. Recent achievements in vibration isolation systems for space launch and on-orbit applications[J]. 2001.
[2]Sun W, Gao H, Kaynak O. Adaptive Backstepping Control for Active Suspension Systems With Hard Constraints[J]. IEEE/ASME Transactions on Mechatronics, 2013, 18(18):1072-1079.
[3] Kopidakis G, Aubry S, Tsironis G P. Targeted energy transfer through discrete breathers in nonlinear systems.[J]. Physical Review Letters, 2001, 87(16):175-196.
[4] 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.
[5] 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.
[6] Xiong H, Kong X, Yang Z, et al. Response regimes of narrow-band stochastic excited linear oscillator coupled to nonlinear energy sink[J]. 中国航空学报(英文版), 2015, 28(2):457-468.
[7] 陈俊, 董大伟, 时威振,等. 带子系统的动力包双层隔振系统隔振设计研究[J]. 振动与冲击, 2016, 35(16).
Chen Jun, Dong Dawei, Shi Weizhen, et al. Study on vibration isolation design of double layer vibration isolation system with dynamic package of belt system[J]. Journal of Vibration and Shock,2016,35(16).
[8] 朱翔,殷学吉,李天云,等. 基于惯容器的动力反共振隔振器隔振特性分析[J].哈尔滨工程大学学报,2016,37(10).
   Zhu Xiang, Yin Xueji, Li Tianyun, et al. Analysis of vibration isolation characteristics of dynamic anti resonance vibration isolator based on inertial container [J]. Journal of Harbin Engineering University, 2016,37(10).
[9] 宋春生, 于传超, 张锦光,等. 基于遗传算法的复杂双层磁悬浮精密隔振系统 LQR 控制研究[J]. 振动与冲击, 2016, 35(16).
     Song Chunsheng, in Chuanchao, Zhang Jinguang, et al. Study on LQR control of complex double magnetic levitation precision vibration isolation system based on genetic algorithm[J]. Journal of Vibration and Shock, 2016, 35(16).
[10] Milovanovic Z, Kovacic I, Brennan M J. On the Displacement Transmissibility of a Base Excited Viscously Damped Nonlinear Vibration Isolator[J]. Journal of Vibration & Acoustics, 2009, 131(5):1749-1779.
[11] Lang Z Q, Jing X J, Billings S A, et al. Theoretical study of the effects of nonlinear viscous damping on vibration isolation of sdof systems[J]. Journal of Sound & Vibration, 2009, 323(1–2):352-365.
[12] Jing X J, Lang Z Q. Frequency domain analysis of a dimensionless cubic nonlinear damping system subject to harmonic input[J]. Nonlinear Dynamics, 2009, 58(3):469-485.
[13] Jing X J. Nonlinear Characteristic Output Spectrum for Nonlinear Analysis and Design[J]. IEEE/ASME Transactions on Mechatronics, 2013, 19(1):171-183.
[14] Brennan M J, Tang B, Melo G P, et al. An investigation into the simultaneous use of a resonator as an energy harvester and a vibration absorber[J]. Journal of Sound & Vibration, 2014, 333(5):1331–1343.
[15] Kremer D, Liu K. A nonlinear energy sink with an energy harvester: Transient responses[J]. Journal of Sound & Vibration, 2014, 333(20):4859-4880.
[16] 蓝春波, 秦卫阳. 带碰撞双稳态压电俘能系统的俘能特性研究[J]. 物理学报, 2015, 64(21):183-194.
Lan Chunbo ,Qin Weiyang .Vibration energy harvesting from a piezo electric bistable system with two symmetric stops[J]. Acta Physica Sinica, 2015, 64(21):183-194.

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