Abstract
A dynamic model of a vibration system, in which eccentric rotors are driven by one motor with two flexible couplings, is developed in this study. The Lagrange equation is used to analyze the dynamic behavior of the vibration system. Synchronization theory and its motion law are investigated using Hamilton’s principle, and the validity of the theory is proven through numerical simulation and experimentation. Results show that the system has two synchronous motions, namely, 0 and π phases. When the torsional stiffness difference between two flexible couplings on both sides of the motor or the resistance moment difference between two eccentric rotors increases, the eccentric rotors maintain the synchronization and stability of the vibration system by adjusting its phase difference. Synchronization theory and the analysis method of the flexible-drive vibration system are extended in this study. Moreover, the synchronous motion law of the vibration system based on bilateral flexible drive by one motor is revealed to provide guidance for the development of high-performance vibrating machines.
Highlights
Synchronization is widespread; for example, satellites are required to operate synchronously with respect to the earth in their synchronous orbits, and people adjust the receiving frequency of their radios to the frequency emitted by the transmitting station to receive information from the radio station [1]
Four motors are used for simultaneous simulation, which can achieve the equivalent vibration synchronization effect of two high-power vibration motors
A structure of a vibration motor in which eccentric rotors are driven by one motor with two flexible couplings is proposed in this study to maintain the good load conditions and synchronous-stable motion performance of vibrating machines under increasing exciting force
Summary
Synchronization is widespread; for example, satellites are required to operate synchronously with respect to the earth in their synchronous orbits, and people adjust the receiving frequency of their radios to the frequency emitted by the transmitting station to receive information from the radio station [1]. The vibrating system may present complex features, such as nonlinear mechanics and flexible body, when a vibration motor is added to the original vibrating machine driven by two motors. The exciting force of the vibration motor can be increased by increasing the mass of the eccentric rotors. Research on improving the exciting force and amplitude of a shale shaker to enhance its load conditions and increase its processing capacity is limited. A dynamic model of two eccentric rotors driven by one motor with two flexible couplings in a spatial vibration system is established. The double-side, flexible-drive vibration motor structure and synchronization theory of the vibration system can be applied to engineering vibration machinery, such as oil-gas drilling shale shakers, shield vibrating screens, and vibration mills, to improve the mechanical stress and increase the material handling capacity
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