Abstract
Harmonic vibration synchronization of the two excited motors is an important factor affecting the performance of the nonlinear vibration system driven by the two excited motors. From the point of view of the hysteresis force, the nonlinear dynamic models of the nonlinear vibration system driven by the two excited motors are presented for the analysis of the hysteresis force with the asymmetry. An approximate periodic solution for the nonlinear vibration system with the hysteresis force is investigated using the nonlinear models. The condition of harmonic vibration synchronization is theoretically analyzed using the rotor–rotation equations of the two excited motors in the nonlinear dynamic models and the stability condition of harmonic vibration synchronization also is theoretically analyzed using Jacobi matrix of the phase difference equation of two excited motors. Using Matlab/Simlink, harmonic vibration synchronization of the two excited motors and the stability of harmonic vibration synchronization for the nonlinear vibration system with the hysteresis force are analyzed through the selected parameters. Various synchronous processes of the nonlinear vibration system with the hysteresis force are obtained through the difference rates of the two excited motors (including the initial phase difference, the initial rotational speed difference, the difference of the motors parameters). It has been shown that the research results can provide theoretical basis for the design and research of the vibration system driven by the two-excited motors.
Highlights
Harmonic vibration synchronization of the two excited motors has been an important factor in the vibration system driven by the two excited motors
Harmonic vibration synchronization is usually explained that the two eccentric rotors on the two excited motors must be done synchronous operation when the excitation frequency is close to the definite range of the first natural frequency in the vibration system driven by the two excited motors, namely, the phase difference of the two eccentric rotors is 0 or constant when the excitation frequency is close to the definite range of the first natural frequency
The phase difference of the two eccentric rotors on the two excited motors is 0 or constant in a certain range when the excitation frequency is close to the definite range of the first natural frequency, and the synchronous operation of the two excited motors can be realized to run safely and stably in the nonlinear vibration system with the hysteretic force
Summary
Harmonic vibration synchronization of the two excited motors has been an important factor in the vibration system driven by the two excited motors. The phase difference of the two eccentric rotors on the two excited motors is 0 or constant in a certain range when the excitation frequency is close to the definite range of the first natural frequency, and the synchronous operation of the two excited motors can be realized to run safely and stably in the nonlinear vibration system with the hysteretic force.
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