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| Study on self-synchronization of double mass vibrating system with tri-exciter |
| HOU Yong-Jun1, YU Le1, FANG Pan1, CHENG Pu-chun2 |
1. School of Mechatronic Engineering, Southwest Petroleum University, Chengdu 610500, China;
2. School of Sciences, Southwest Petroleum University, Chengdu 610500, China |
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Abstract A double mass vibrating system of self-synchronization with tri-exciter was put forward. The advantages of this system included that it had larger screening area, smaller share space and little loads transmitted to the foundation. Firstly, the dynamic differential equation of the system was established based on the Lagrange equation, and the stable solutions were obtained. Then using Hamilton principle, the self-synchronization qualification and stability condition were obtained. Using the method of controlling variables, the effects of stiffness of middle spring and the installation position of motors to the system self-synchronization and its phase difference were analyzed. The research results showed that the system could realize a stably synchronized motion when the parameters satisfied the synchronization and stability condition. The synchronous phase difference of two motors of upper body was 0° , and the phase difference which was between upper and lower body was 180°. Finally, the results of electromechanical-coupling simulation model verified the correctness of theoretical analysis. The study provides theoretical basis for design and analysis of this system.
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Received: 04 August 2015
Published: 28 February 2016
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三激振器双质体振动系统自同步特性研究
提出了一种三机驱动双质体自同步振动系统,该系统具有有效筛分面积大、占地面积小和地基受动载荷小的优点.首先,依据Lagrange方程推导出双质体振动系统的运动微分方程,并求出了其稳态解.然后,由Hamilton原理推导出系统的同步性条件和稳定性条件;运用控制变量法分析了中间弹簧刚度和电机安装位置对系统同步性以及同步相位差角的影响.研究结果表明:当系统参数满足同步性和稳定性条件时系统可以实现稳定的自同步运动,同步时上质体两电机的相位差角为0°,上质体和下质体电机间的相位差角为180°.最后,用机电耦合仿真结果验证了理论分析的正确性.研究结果为该系统的设计分析提供了理论基础.
关键词：
双质体振动系统,
Hamilton,
控制变量,
同步性,
稳定性
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