This paper studies self-synchronization and stability of a dual-motor driven vibration system with a two-stage vibration isolation frame. Oscillation amplitude of the material box large enough can be ensured on the vibration system in order to screen materials. Reduction of the dynamic load transmitted to the foundation can also be achieved for the vibration system. A Lagrange equation is used to set up the motion differential equations of the system, and a dimensionless coupled equation of the eccentric rotors is obtained using a method of modified average small parameter. According to the existence condition of zero solution in the dimensionless coupled equation of the eccentric rotors, the precondition for commencing self-synchronization motion is achieved. The stability condition of self-synchronization is obtained based on the Routh-Hurwitz criterion. The theoretical analysis is validated by simulations and experiments.
He LI;Dan LIU;Lai JIANG;Chunyu ZHAO;Bangchun WEN
. Self-synchronization theory of dual motor driven vibration system with two-stage vibration isolation frame[J]. Applied Mathematics and Mechanics, 2015
, 36(2)
: 265
-278
.
DOI: 10.1007/s10483-015-1905-7
[1] Blekhman, I. I., Fradkov, A. L., Nijmeijer, H., and Pogromsky, A. Y. On self-synchronization and controlled synchronization. System & Control Letters, 31(5), 299-305 (1997)
[2] Blekhman, I. I. and Yaroshevich, N. P. Extension of the domain of applicability of the integral stability criterion (extremum property) in synchronization problems. Journal of Applied Mathematics and Mechanics, 68(6), 839-864 (2004)
[3] Blekhman, I. I., Fradkov, A. L., Tomchina, O. P., and Bogdanov, D. E. Self-synchronization and controlled synchronization: general definition and example design. Mathematics and Computers in Simulation, 58(4), 367-384 (2002)
[4] Sperling, L. Selbstsynchronisation statisch und dynamisch unwuchtiger vibratoren (in German). Technische Mechanik, 14(1), 61-76 (1994)
[5] Sperling, L. Selbstsynchronisation statisch und dynamisch unwuchtiger vibratoren, teil II ausführung und beispiele (in German). Technische Mechanik, 14(2), 85-96 (1994)
[6] Ragulskis, K. M. Mechanisms on the Vibrating Base (in Russian), Lithuanian Academy of Sciences, Kaunas, 56-69 (1963)
[7] Ragulskis, K. M., Vitkus, I. I., and Ragulskiene, V. L. Self-Synchronization of Systems (in Russian), Mintis, Vilnius, 156-184 (1965)
[8] Nagaev, R. F. Dynamics of Synchronizing Systems, Spriger, Berlin, 255-287 (2003)
[9] Kononenko, V. O. Vibrating System with Limited Power Supply, Illiffe, London, 11-19 (1969)
[10] Balthazar, J. M., Felix, J. L. P., and Reyolando, M. L. R. Short comments on self-synchronization of two non-ideal sources supported by a flexible portal frame structure. Journal of Vibration and Control, 10(12), 1739-1748 (2004)
[11] Balthaza, J. M., Felix, J. L. P., and Brasil, R. M. Some comments on the numerical simulation of self-synchronization of four non-ideal exciters. Applied Mathematics and Computation, 164(2), 615-625 (2005)
[12] Wen, B. C. Recent development of vibration utilization engineering. Frontiers of Mechanical Engineering in China, 3(1), 1-9 (2008)
[13] Zhao, C. Y., Zhu, H. T., Wang, R. Z., and Wen, B. C. Synchronization of two non-identical coupled exciters in a non-resonant vibrating system of linear motion, part I: theoretical analysis. Shock and Vibration, 16(5), 505-516 (2009)
[14] Zhao, C. Y., Zhu, H. T., Bai, T. J., and Wen, B. C. Synchronization of two non-identical coupled exciters in a non-resonant vibrating system of linear motion, part II: numeric analysis. Shock and Vibration, 16(5), 517-528 (2009)
[15] Zhao, C. Y., Zhu, H. T., Zhang, Y. M., and Wen, B. C. Synchronization of two coupled exciters in a vibrating system of spatial motion. Acta Mechanica Sinica, 26(3), 477-493 (2010)
Email Alert
RSS