Synchronization Mechanism of Dual-body Dynamic Vibration Absorption System with Mutiple-rotor and Double-frequency Actuation

doi:10.3901/JME.2024.21.156

Abstract

Abstract: Aiming at the problems of low screening efficiency and poor vibration isolation performance of single-body vibration system with same frequency actuation, a dual-body vibration absorption system with multiple-motor and double-frequency actuation is designed. To explore the dynamic characteristics of the vibrating system, the vibration isolation performance and the synchronization mechanism are studied. Firstly, the dynamic model of the system with multiple degrees of freedom is established by Lagrangian method. And the steady-state solutions of the screen box are calculated by transfer function method. Secondly, the necessary conditions for the system to implement the stable double-frequency synchronization are determined by using the improved small parameter method and Lyapunov criterion. Then, the effect of the system parameters such as excitation frequency, rotor mass ratio and motor position on synchronization state, synchronization stability and vibration isolation capability is discussed. Finally, an experimental prototype is designed to verify the correctness of the theory model, numerical analysis method and simulation results. The research found that the synchronization is significantly affected by the rotor mass and the position of motor installation. The farther the distance of motor position, the stronger the synchronization. Besides, the excitation frequency of the low frequency motor is closer to the natural frequency of the oscillating body, the better vibration isolation effect.

Key words: double-frequency, vibration synchronization, dynamic vibration absorption, dual-body, stability

CLC Number:

TH113

FANG Pan, SUN Hechao, CAI Ketao, HOU Yongjun, KANG Weitang. Synchronization Mechanism of Dual-body Dynamic Vibration Absorption System with Mutiple-rotor and Double-frequency Actuation[J]. Journal of Mechanical Engineering, 2024, 60(21): 156-167.

References

[1] 黄旭，苏明，孙易森，等. 电驱动偏心转子与复合振动环境振动同步的理论研究[J]. 应用力学学报，2022(4)：039. HUANG Xu，SU Ming，SUN Yisen，et al. Theoretical study of vibration synchronization of electrically driven eccentric rotor with compound vibration environment[J]. Chinese Journal of Applied Mechanics，2022(4)：039.
[2] 李振民，张学良，岳红亮，等. 双机驱动双质体振动机械系统的同步及其稳定性[J]. 振动与冲击，2022，41(4)：7. LI Zhenmin，ZHANG Xueliang，YUE Hongliang，et al. Synchronization and stability of vibration mechanical system with dual-body driven by two motors[J]. Journal of Vibration and Shock，2022，41(4)：7.
[3] ZHOU Ping，YAO Zhao，MA Jun，et al. A piezoelectric sensing neuron and resonance synchronization between auditory neurons under stimulus[J]. Chaos Solitons and Fractals，2021，145：110751.
[4] LAWSON H，HOLLÓ G，HORVATH R，et al. Chemical resonance，beats and frequency locking in forced chemical oscillatory systems[J]. Journal of Physical Chemistry Letters，2020，11：3014-3019.
[5] 闻邦椿，赵春雨，苏东海，等. 机械系统的振动同步与控制同步[M]. 北京：科学出版社，2003. WEN Bangchun，ZHAO Chunyu，SU Donghai，et al. Vibration synchronization and control synchronization of mechanical systems[M]. Beijing：Science Press，2003.
[6] 闻邦椿. “振动利用工程”学科近期的发展[J]. 振动工程学报，2007(5)：427-434. WEN Bangchun. Recent development of "vibration utilization engineering"[J]. Journal of Vibration Engineering，2007(5)：427-434.
[7] 闻邦椿，刘树英，何勍. 振动机械的理论与动态设计方法[M]. 北京：机械工业出版社，2001. WEN Bangchun，LIU Shuying，HE Qing. Theory and dynamic design of vibrating machines[M]. Beijing：China Machine Press，2001.
[8] ZHAO Chunyu，ZHANG Yiming，WEN Bangchun. Synchronisation and general dynamic symmetry of a vibrating system with two exciters rotating in opposite directions[J]. Chinese Physics，2010，19(3)：14-20.
[9] ZHAO Chunyu，ZHU Hongtao，WANG Ruizi，et al. Synchronization of two non-identical coupled exciters in a non-resonant vibrating system of linear motion. Part I：Theoretical analysis[J]. Shock and Vibration，2009，16(5)：505-515.
[10] 贾一君，张楠，安兆喆，等. 双机驱动振动系统的麻雀优化滑模同步控制[J]. 机电工程，2022，39(6)：720-726. JIA Yijun，ZHANG Nan，AN Yaozhe，et al. Sparrow algorithm optimization sliding mode synchronous control of double motor drive vibration system[J]. Journal of Mechanical & Electrical Engineering，2022，39(6)：720-726.
[11] 姜娇，陈长征，薄磊，等. 反向转动双机驱动振动筛同步控制[J]. 振动与冲击，2019，38(8)：126-132. JIANG Jiao，CHEN Changzheng，BAO Lei，et al. Controlled synchronization of vibrating screen driven by two exciters rotating in the opposite direction[J]. Journal of Vibration and Shock，2019，38(8)：126-132.
[12] DIMENTBERG M，COBB E，MENSCHING J. Self- synchronization of transient rotations in multiple shaft systems[J]. Journal of Vibration and Control，2001，7(2)：221-232.
[13] BALTHAZA J，FELIX J，BRASIL R. Short comments on self-synchronization of two non-ideal sources supported by a flexible portal frame structure[J]. Journal of Vibration and Control，2004，10(12)：1739-1748.
[14] 方潘，石双全，陆小刚，等. 空间三机振动系统振动同步机理研究[J]. 中国电机工程学报，2022，42(13)：4963-4973. FANG Pan，SHI Shuangquan，LU Xiaogang，et al. Study on synchronization mechanism of vibration system with three motors in space[J]. Proceedings of the CSEE，2022，42(13)：4963-4973.
[15] MODRZEWSKI R，WODZINSKI P. Screens for segregation of mineral waste[J]. Physicochemical Problems of Mineral Processing，2011，47：267-274.
[16] MODRZEWSKI R，WODZINSKI P. Grained material classification on a double frequency screen[J]. Physicochemical Problems of Mineral Processing，2011，46：5-12.
[17] 姚运仕，宋红年，冯忠绪. 双频合成振动筛试验[J]. 中国公路学报，2008，21(4)：122-126. YAO Yunshi，SONG Hongnian，FENG Zhongxu. Experiment on double-frequency composed vibrating screen[J]. China Journal of Highway and Transport，2008，21(4)：122-126.
[18] 冯忠绪，孟彩茹，宋红年，等. 双频振动筛分原理[J]. 长安大学学报，2010，30(2)：101-105. FENG Zhongxu，MENG Cairu，SONG Hongnian，et al. Screening theory with double-frequency vibration[J]. Journal of Chang’ an University，2010，30(2)：101-105.
[19] INOUE J，ARAKI Y，MIYAURA S. Self-synchronization of mechanical system (multiple cycle) [J]. Process of Japan Mechanical Engineers Society，1981，42：103-110.
[20] PECORA L M，CARROLL T L. Synchronization in chaotic system[J]. Physical Review Letters，1990，64(8)：821.
[21] ZHANG Xueliang，ZHANG Xu，ZHANG Chen，et al. Double and triple-frequency synchronization and their stable states of the two co-rotating exciters in a vibrating mechanical system[J]. Mechanical Systems and Signal Processing，2021，154(5)：107555.
[22] ZHANG Xueliang，ZHANG Xu，ZHANG Chen，et al. Theoretical，numerical and experimental studies on multi- cycle synchronization of two pairs of reversed rotating exciters[J]. Mechanical Systems and Signal Processing，2022，167：Part A.
[23] ZOU Min，FANG Pan，HOU Yongjun，et al. Self- synchronization theory of tri-motor excitation with double- frequency in far resonance system[J]. Proceedings of the Institution of Mechanical Engineers，Part C：Journal of Mechanical Engineering Science，2020，234：3166- 3184.
[24] 邹敏，方潘，侯勇俊，等. 倍频激励双转子振动同步机理与实验研究[J]. 力学学报，2021，53(10)：18. ZOU Min，FANG Pan，HOU Yongjun，et al. Study on synchronization mechanism and experiment of vibrating system with double-frequency and dual-rotor[J]. Chinese Journal of Theoretical and Applied Mechanics，2021，53(10)：18.
[25] 李鹤，刘丹，姜来，等. 含二次隔振架的双机驱动振动机的自同步理论研究[J]. 振动与冲击，2014，33(8)：134-140. LI He，LIU Dan，JIANG Lai，et al. Self-synchronization theory of a vibrating system with a two-stage vibration isolation frame driven by two motors[J]. Journal of Vibration and Shock，2014，33(8)：134-140.
[26] 侯勇俊，彭欢，方潘，等. 同向双电机二次隔振系统的同步行为研究[J]. 机械工程学报，2022，58(17)：170-180. HOU Yongjun，PENG Huan，FANG Pan，et al. Synchronization behavior of secondary vibration isolation system with two co-rotating motors[J]. Journal of Mechanical Engineering，2022，58(17)：170-180.
[27] ZHANG Xueliang，WANG Zhihui，LI Chao，et al. Comments on the stability of the synchronous states of three vibrators in a vibrating system with two rigid frames[J]. Journal of Mechanical Science and Technology，2019，33(10)：4659-4672.
[28] 刘云山，张学良，闻邦椿. 双机驱动双质体近共振同步运动[J]. 机械设计与研究，2018，34(2)：4. LIU Yunshan，ZHANG Xueliang，WEN Bangchun. Near-resonant self-synchronous motion of a dual-mass with two motors vibrating system[J]. Machine Design and Research，2018，34(2)：4.
[29] 刘劲涛，刘杰，孙长青，等. 反共振振动机械的同步性与同步传动性[J]. 机械工程学报，2015，51(21)：9. LIU Jintao，LIU Jie，SUN Changqing，et al. Synchronicity and synchronous transmission of anti-resonance vibration machinery[J]. Journal of Mechanical Engineering，2015，51(21)：9.
[30] HOU Yongjun，PENG Huan，FANG Pan，et al. Synchronous characteristics of two excited motors in an anti-resonance system[J]. Journal of Advanced Mechanical Design，Systems and Manufacturing，2019，13(3)：0050.
[31] PENG Huan，HOU Yongjun，FANG Pan，et al. Synchronization analysis of the anti-resonance system with three exciters[J]. Applied Mathematical Modelling，2021，97：96-112.
[32] LI Xiaohao，SHEN Tao. Dynamic performance analysis of nonlinear anti-resonance vibrating machine with the fluctuation of material mass[J]. Journal of Vibroengineering，2016，18(2)：978-988.