• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2022, Vol. 58 ›› Issue (17): 170-180.doi: 10.3901/JME.2022.17.170

• 机械动力学 • 上一篇    下一篇

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同向双电机二次隔振系统的同步行为研究

侯勇俊1, 彭欢1, 方潘1, 侯度宇1, 王德金2   

  1. 1. 西南石油大学机电工程学院 成都 610500;
    2. 西南石油大学电气信息学院 成都 610500
  • 收稿日期:2021-09-02 修回日期:2022-03-22 发布日期:2022-11-07
  • 作者简介:侯勇俊,男,1967年出生,博士,教授,博士研究生导师。主要研究方向为机械振动、机电系统动力学及其应用。E-mail:yongjunhou@126.com;彭欢,男,1994年出生,博士研究生。主要研究方向为非线性振动,振动利用。E-mail:917107468@qq.com

Synchronization Behavior of Secondary Vibration Isolation System with Two Co-Rotating Motors

HOU Yongjun1, PENG Huan1, FANG Pan1, HOU Duyu1, WANG Dejin2   

  1. 1. School of Mechanical Engineering, Southwest Petroleum University, Chengdu 610500;
    2. School of Electrical and Information, Southwest Petroleum University, Chengdu 610500
  • Received:2021-09-02 Revised:2022-03-22 Published:2022-11-07
  • Contact: 国家自然科学基金(51705437)和四川省科技计划(2021JDRC0093,2022YFQ0064)资助项目。

摘要: 为解决振动系统激励传递导致的危害,提出了同向旋转双电机二次隔振系统。首先根据拉格朗日方程建立了系统的运动微分方程,随后采用小参数均值法和劳斯-霍尔维茨判据求解出系统同步判据和稳定性判据的解析表达式,其次通过数值分析定量地讨论了系统激振频率和结构参数对系统同步行为的影响,然后基于四阶龙格库塔法建立系统机电耦合模型,并仿真分析系统机电耦合特征对同步行为的影响。研究结果表明:系统运行在低频区域时,随着激振频率的增大,系统相对运动幅值和同步相位差存在波动,耦合力矩会逐渐增大;当激振频率进入高频区域后,系统激振频率对相对运动幅值和同步相位差几乎无影响,耦合力矩稳定至最大值;此外,系统同步相位差随着电机安装距离的增大或安装角度的减小而减小。最后设计实验方案,验证了理论和仿真分析的准确性。

关键词: 同步, 稳定性, 隔振, 电机, 相位差

Abstract: To solve the harm caused by the excitation transmission in the vibrating system, the secondary vibration isolation system with two co-rotating motors is proposed. Firstly, the motion differential equations of the system are established by Lagrange equation. Subsequently, the analytical expressions of synchronization criterion and stability criterion are given by adopting the small parameter average method and Routh-Hurwitz criterion. Next, the influence of excitation frequency and structural parameters of the system on synchronous behavior is discussed by numeric analyses. Then, the electromechanical coupling model of the system is established to analyze the influence of electromechanical coupling characteristic on synchronous behavior through Runge-Kutta method of the fourth order. The research results indicate that, when the system operates in the low frequency region, the relative motion amplitude and synchronous phase difference of the system are fluctuated and the coupling moment is gradually increased with the increment of the excitation frequency; when the system operates in the high frequency region, the relative motion amplitude and synchronous phase difference of the system are independence of the excitation frequency, and the coupling moment is stabilized at maximum; besides, the synchronous phase difference of the system is decreased with the increment of mounting distance or with the decrement of installation angle. Finally, the experiment is designed to verify the accuracy of theoretical and simulation analyses.

Key words: synchronization, stability, vibration isolation, motor, phase difference

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