In study on the vibration synchronization theory, there is a specific phenomenon that an exciter without a directly driving source can follow another active drive exciter to operate synchronously.This phenomenon is called the vibratory synchronization transmission.Here, the theory of vibratory synchronization transmission for an asymmetrical two-exciter system was studied.The motion equation of the vibrating system was derived with Lagrange equation.The average method of small parameters was adopted to deduce the frequency capture equation of the vibrating system.Then the criterion of synchronism for the system to realize the vibratory synchronization transmission and the criterion of stability for vibratory synchronization transmission state were obtained.According to the theoretical results, the system was numerically analyzed and discussed to get the motion selection characteristics of the system.Finally, the prototype of this vibrating system was tested to verify the correctness of the theoretical analysis.
Key words
vibratory synchronization transmission /
exciter /
asymmetrical distribution /
synchronization /
stability
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
References
[1] 韩清凯，秦朝烨，闻邦椿. 自同步振动系统的稳定性与分岔[J]. 振动与冲击，2007，26（1）：31-34.
[2] 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.
[3] 赵春雨，赵乾斌，贺斌，等. 三质体振动机动力学参数对其性能的影响分析[J]. 振动与冲击，2015，34（12）：70-78.
[4] 陈晓哲，窦景欣，孔祥希，等. 两激振器同一旋转轴线振动系统的自同步理论[J]. 振动与冲击，2017，36（14）：19-25.
[5] 闻邦椿，林项阳. 振动同步传动及其工业应用[J]. 机械工程学报，1984，20（3）：26-41.
WEN Bang-chun, LIN Xiang-yang. Vibration synchronous transmission and its industrial application [J]. Journal of mechanical engineering, 1984，20（3）：26-41.
[6] Xiong, W.L., Wen, B.C. and Z.S. Duan. Engineering characteristics and its mechanism explanation of vibratory synchronization transmission [J]. Chinese Journal of Mechanical Engineering, 2004, 17(2): 185-188.
[7] Xiong, W. L., Wen, B. C. and Z. S. Duan. Mechanism of Electromechanical-coupling on Self-Synchronous Vibration an Vibratory Synchronization Transmission [J]. Journal of Vibratory Engineering, 2000,13(3): 325-330.
[8] Zhao C Y, Zhang Y M. Synchronization and general dynamic symmetry of a vibrating system with two exciters rotating in opposite direction [J], Chinese Physics B, 2009, 19(3): 0301-1-7.
[9] Zhao C Y, Wen B C. Synchronization control of vibration system with dual-motor drives rotating in the same direction [C], In Proceedings of the Second Chinese World Congress on Intelligent Control and Intelligent Automation, Xian, China, 1997, June 22-29, 274-278.
[10] Zhao C Y, Zhu H T. Synchronization of two coupled exciters in a vibrating system of spatial motion [J],.Acta Mech Sin, 2010, 26: 477-493.
[11] Zhang X L, Wen B C. Theoretical and experimental study on synchronization of the two homodromy exciters in a non-resonant vibrating system [J]. Shock and Vibration, 2013, 332: 2300-2317.
[12] 张秀华，张庆灵. 非线性微分代数系统的控制理论与应用[M]，北京：科学出版社，2007.
ZHANG Xiu-hua, ZHANG Qing-lin. Control theory and application of nonlinear differential algebraic system [M]. Beijing: Science press，2007.
[13] A. E. Marhomy, N. E. A. Sattar. Stability analysis of rotor-bearing system via Routh-Hurwitz Criterion [J]. Applied Energy, 2004, 77: 287-308.
[14] M. Senator. Synchronization of two coupled escapement-driven pendulum clocks [J]. Journal of Sound and Vibration 291(2006): 566-603.
[15] 闻邦椿，刘树英. 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 Bang-chun, LIU Shu-ying. Theory and dynamic design method of vibration machinery [M]. Beijing: China machine press, 2001.
[16] 赵春雨，闻邦椿. 多电机驱动的传动机械系统同步控制理论及应用[J]，东北大学学报，1997，(S): 342-347.
ZHAO Chun-yu, WEN Bang-chun. Multimotor driven synchronous control theory and application of transmission mechanical system [J]. Journal of northeastern university，1997，(S): 342-347.
{{custom_fnGroup.title_en}}
Footnotes
{{custom_fn.content}}
PDF(1514 KB)
