倍频扰动下双质体系统非线性振动及同步机制研究

doi:10.3901/JME.260693

机械工程学报 ›› 2026, Vol. 62 ›› Issue (13): 166-179.doi: 10.3901/JME.260693

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倍频扰动下双质体系统非线性振动及同步机制研究

康维堂^1,2, 侯勇俊^1,2, 杨旭晖³, 窦永奇⁴, 王可鑫^1,2, 方潘^1,2

1. 西南石油大学机电工程学院成都 610500;
2. 西南石油大学石油天然气装备教育部重点实验室成都 610500;
3. 国家石油天然气管网集团有限公司山东分公司济南 250000;
4. 国家石油天然气管网集团有限公司秦皇岛输油气分公司秦皇岛 066000

收稿日期:2025-06-10 修回日期:2025-12-23 发布日期:2026-08-28
作者简介:康维堂，男，1996年出生，博士研究生。主要研究方向为石油矿场机械、钻柱动力学和油气井完整性评价。E-mail：kangweitang2023@126.com;侯勇俊，男，1967年出生，教授，博士研究生导师。主要研究方向为机械动力学、流体机械，石油矿场机械。E-mail：hyj2643446@126.com;杨旭辉，男，1970年出生，主要研究方向为管道完整性。E-mail：yxh246820@163.com;窦永奇，男，1973年出生，主要研究方向为管道完整性。E-mail：109886846@qq.com;王可鑫，男，1995年出生，博士研究生。主要研究方向为机械动力学、管道完整性评价。E-mail：prof0315@126.com;方潘(通信作者)，男，1986年出生，博士，副教授，硕士研究生导师。主要研究方向为振动同步同步控制、机电系统动力学、欠平衡钻井和油气井完整性评价。E-mail：ckfangpan@126.com
基金资助:
国家自然科学基金(51705437)和四川省科技厅自然科学基金(24NSFSC2131)资助项目。

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

KANG Weitang^1,2, HOU Yongjun^1,2, YANG Xuhui³, DOU Yongqi⁴, WANG Kexin^1,2, FANG Pan^1,2

1. School of Mechatronic Engineering, Southwest Petroleum University, Chengdu 610500;
2. Key Laboratory of Petroleum and Natural Gas Equipment of Ministry of Education, Southwest Petroleum University, Chengdu 610500;
3. Shandong Branch, National Petroleum and Natural Gas Pipeline Network Group Co., Ltd., Jinan 250000;
4. Qinhuangdao Oil and Gas Transportation Branch, National Petroleum and Natural Gas Pipeline Network Group Co., Ltd., Qinhuangdao 066000

Received:2025-06-10 Revised:2025-12-23 Published:2026-08-28

摘要/Abstract

摘要： 振动筛是钻井液净化系统的关键设备，但随着快速、连续钻井技术不断升级，传统同频单体振动系统已难以满足高效、安全钻井作业需要，同时强烈的高频振动对设备基座的疲劳损伤严重。为优化振动筛分设备的力学和安全性能，提出一种倍频电机安装在工作质体，低频电机对称安装于隔振质体的新型振动系统模型，构建了倍频、多电机以及双质体多因素耦合体系。为掌握振动系统动力学特性，结合小参数平均法与非线性系统稳定性的一阶近似判别法研究了倍频系统的机电耦合行为和非线性振动的稳定性理论。与此同时，利用数值分析，探讨了系统的隔振能力、负载力矩和同步状态。最后基于实验和计算机模拟分别建立机电耦合模型，实验结果相位差稳定在-0.57 rad与-0.61 rad之间，隔振系数为2.08，与同参数理论求解契合，验证了理论分析和数值计算的可靠性。研究发现，当倍频激振频率处于系统共振频率附近，低频转子的同步特性受倍频激振力影响较大，而在非共振工况下，由于电机转轴所承受的异频负载力矩极小，倍频激振力的影响可忽略不计。研究结论可为新型筛分设备的设计提供理论指导，也对其他倍频振动机械的研究具有参考意义。

关键词: 二倍频, 非线性, 隔振, 相位差, 自同步

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

中图分类号:

TH113.1

康维堂, 侯勇俊, 杨旭晖, 窦永奇, 王可鑫, 方潘. 倍频扰动下双质体系统非线性振动及同步机制研究[J]. 机械工程学报, 2026, 62(13): 166-179.

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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倍频扰动下双质体系统非线性振动及同步机制研究

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

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