Primary resonance analysis of a nonlinear system of a capacitance electromagnetic actuator

PDF(738 KB)

Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (24) : 143-147.

YANG ZhiAn 1 FENG Hao 2

Author information +

History +

Abstract

Taking a capacitance type electromagnetic actuator as the research object, the driver consists of a capacitor, dielectric plate and nonlinear spring.According to the Lagrange Maxwell equation， the nonlinear vibration equation of the system was established.Applying the method of multiple scales, the primary resonance of the system problems was analyzed and numerical calculation was carried out.The amplitude frequency curves of the system was obtained.The results show that the amplitude frequency response curve of the primary resonance of the system has no jumping phenomenon.This system is a weakly nonlinear system.With the increase of the damping coefficient and the distance between the two electrodes of a capacitor, the amplitude and the region of the primary resonance of the system decrease.With the increase of the excitation voltage and the length of a capacitor, the amplitude and the resonance region of the system increase.

Key words

capacitance type electromagnetic actuator / the method of multiple scales / primary resonance / nonlinear system / Lagrange Maxwell equation

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

YANG ZhiAn 1 FENG Hao 2. Primary resonance analysis of a nonlinear system of a capacitance electromagnetic actuator[J]. Journal of Vibration and Shock, 2018, 37(24): 143-147

References

[1] 忽伟. 磁悬浮列车的运动稳定性研究[D]. 河北工业大学,2014.
   Wei Wei. Study on motion stability of Maglev train [D]. Hebei University of Technology, 2014.
[2] 许建强,杨晓峰. 电磁驱动泵设计原理[J]. 排灌机械,2004,22(4):3-4.
    Xu JianQiang, Yang XiaoFeng. The design principle of electromagnetic driven [J]. Pump Drainage and Irrigation Machinery, 2004, 22(4): 3-4.
[3] 王媛. 舰载机电磁弹射器的设计与动力学分析[D]. 北京工业大学,2013.
    Wang Yuan. Design and dynamic analysis of aircraft electromagnetic launcher [D]. Beijing University of Technology, 2013.
[4] Guzeva T A. Hardening of polymer binders with the energy of ultrahigh frequency electromagnetic oscillations [J]. Polymer Science Series D, 2015, 8(1):59-61.
[5] 喻嵘,王玉皞,王艳庆，等. 用于水质硝酸盐浓度在线检测的电磁传感器设计[J]. 传感技术学报, 2013,26(6):774-778.
    Yu Rong, Wang YuHao, et al. Design of electromagnetic sensor for on-line measurement of nitrate concentration in water quality [J]. Chinese Journal of Sensor Technology, 2013, 26(6): 774-778.
[6] 武建军,杨文伟. EMS磁悬浮列车/非线性弹性轨道系统的动力学特性[J]. 兰州大学学报(自然科学版), 2006, 42(1):120-126.
    Wu JianJun, Yang WenWei Dynamic characteristics of. EMS Maglev train / nonlinear elastic track system [J]. Journal of Lanzhou University (NATURAL SCIENCE EDITION), 2006, 42 (1): 120-126.
[7] 杨志安,李熙,孟佳佳，等. 改进多尺度法求解环形极板机电耦合强非线性系统主共振的研究[J]. 振动与冲击,2015,34(19):208-212.
Yang Zhian, Li Xi, Meng Jia Jia et al. Study on the improvement of multi scale method for solving the principal resonance of a nonlinear system with strong electromechanical coupled in an annular plate [J]. Vibration and Shock, 2015, 34(19): 208-212.
[8] 杨志安,王帅. 有界窄带激励下扬声器静圈振动系统的主共振[J]. 振动与冲击,2016,35(23):51-55.
   Yang ZhiAn, Wang Shuai. Primary response of static coil vibration system of loudspeakers subjected to narrow-band random excitation [J]. Vibration and Shock, 2016, 35(23): 51-55.
[9] 杨志安. RLC串联电路与运动介质板综合分析[J]. 数值计算与计算机应用,2013, 34(3):196-204.
   Yang ZhiAn. RLC series circuit and moving medium plate comprehensive analysis [J]. Numerical Calculation and Computer Application, 2013, 34(3): 196-204.
[10] Yang ZhiAn, Li WenLan, Qiu JiaJun. Lagrange-Maxwell equations and parameter resonance of the generator under magnetic saturation [J]. Applied Mathematics and Mechanics, 2007, 28(11): 1379-1386.
[11] 陈予恕. 非线性振动 [M]. 北京:高等教育出版社, 2002.
    Chen YuShu. Nonlinear vibration [M]. Beijing: Higher Education Press, 2002.