Studies on the Nonlinear Vibration and Synchronization Mechanism of a Dual-mass System under Frequency Multiplication Disturbance

doi:10.3901/JME.260693

Abstract

Abstract: The vibrating screen is a key equipment in the drilling fluid purification system. However, with the continuous upgrading of rapid and continuous drilling technology, the traditional single-body vibration system of the same frequency is difficult to meet the needs of efficient and safe drilling operations. At the same time, serious fatigue damage is caused to the equipment base by the intense high-frequency vibration.To optimize the mechanical and safety performance of the vibrating screening equipment, a new vibration system model is proposed, in which the frequency doubling motor is installed on the working body and the low-frequency motor is symmetrically installed on the vibration isolation body, and a frequency doubling, multi-motor and dual-body multi-factor coupling system is constructed. To master the dynamic characteristics of the vibration system, the electromechanical coupling behavior of the frequency doubling system and the stability theory of nonlinear vibration are studied by combining the small-parameter averaging method and the first-order approximate discrimination method for the stability of nonlinear systems. Meanwhile, through numerical analysis, the vibration isolation capacity, load torque and synchronous state of the system are discussed. Finally, the electromechanical coupling models were established respectively based on experiments and computer simulations. The phase difference of the experimental results is stable between-0.57 and -0.61 rad, and the vibration isolation coefficient is 2.08, which is consistent with the theoretical solution of the same parameters, verifying the reliability of theoretical analysis and numerical calculation. Through research, it is found that when the frequency-doubling excitation frequency is near the resonant frequency of the system, the synchronous characteristics of the low-frequency rotor are greatly affected by the frequency-doubling excitation force. However, under non-resonant conditions, since the torque of the out-of-frequency load borne by the motor shaft is extremely small, the influence of the frequency-doubling excitation force can be ignored. Theoretical guidance for the design of new screening equipment can be provided by the conclusions, and reference significance for the research of other frequency-doubling vibration machinery can also be offered thereby.

Key words: double-frequency, nonlinearity, vibration isolation, phase difference, self-synchronization

CLC Number:

TH113.1

KANG Weitang, HOU Yongjun, YANG Xuhui, DOU Yongqi, WANG Kexin, FANG Pan. Studies on the Nonlinear Vibration and Synchronization Mechanism of a Dual-mass System under Frequency Multiplication Disturbance[J]. Journal of Mechanical Engineering, 2026, 62(13): 166-179.

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URL: http://www.cjmenet.com.cn/EN/10.3901/JME.260693

http://www.cjmenet.com.cn/EN/Y2026/V62/I13/166

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