Open AccessComposite synchronization on two pairs of vibrators in a far super-resonant vibrating system with the single rigid frame
Author(s) -
Xueliang Zhang,
Wenyi Hu,
Zhiguo Gao,
Yuying Liu,
Bangchun Wen
Publication year - 2021
Publication title -
journal of low frequency noise, vibration and active control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.419
H-Index - 25
eISSN - 2048-4046
pISSN - 1461-3484
DOI - 10.1177/14613484211021508
Subject(s) - synchronization (alternating current) , vibration , stability (learning theory) , control theory (sociology) , work (physics) , equations of motion , composite number , frame (networking) , mechanism (biology) , motion (physics) , torque , reference frame , differential (mechanical device) , physics , computer science , mathematics , classical mechanics , acoustics , engineering , topology (electrical circuits) , mechanical engineering , control (management) , combinatorics , algorithm , machine learning , artificial intelligence , quantum mechanics , thermodynamics
In the present work, a new dynamical model with a single rigid frame driven by two pairs of vibrators, of which each pair of vibrators is engaged with each other by gear mechanism, is proposed to explore the composite synchronization of the system. The motion differential equations and vibration responses of the system are given first. The theory condition for achieving composite synchronization of the system is obtained, by using the average method to deduce the average torque balance equations of the two pairs of vibrators. According to the Hamilton’s theory, the system stability condition is presented, and it is mainly determined by the structural parameters of the system. The synchronous stable regions and stability ability versus the key parameters of the system are qualitatively discussed in numeric, and further quantitatively verified by simulations. It is shown that, in engineering, the reasonable working points of the system, should be selected in the region where the stable phase difference of the two pairs of vibrators is stabilized in the vicinity of zero. Only in this way, can the exciting forces of the two pairs of vibrators be positively superposed, and the linear motion of the system in the vertical direction be realized.