School of Mechanical Engineering, Southwest Petroleum University, Chengdu 610500, China; Oil and Gas Equipment Technology Sharing and Service Platform of Sichuan Province, Southwest Petroleum University, Chengdu 610500, China.
School of Mechanical Engineering, Southwest Petroleum University, Chengdu 610500, China; Oil and Gas Equipment Technology Sharing and Service Platform of Sichuan Province, Southwest Petroleum University, Chengdu 610500, China; State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, China.
ISA Trans. 2023 Jul;138:521-533. doi: 10.1016/j.isatra.2023.03.012. Epub 2023 Mar 14.
To improve the problem that self-synchronization and control synchronization of vibration systems are respectively restricted by their inherent characteristics and product cost, by combining them a multi-phase composite synchronization scheme is proposed for space far-resonant vibration system actuated by three vibrators. Based on the established mathematical model and sliding mode control (SMC) algorithm, controller of one vibrator is designed to implement the multi-phase control synchronization. Then self-synchronization mechanism of the other two vibrators is analyzed through small parameter average method and Routh-Hurwitz criterion. Besides, necessary calculation and simulation cases in multi-phase composite synchronization state are further conducted. Research results indicate that the multi-phase composite synchronization of three vibrators can be carried out in stable operation regions, but chaotic behaviors, since severe mass asymmetry of the eccentric rotors (ERs), will be induced when the phase differences (PDs) between two coaxial vibrators are controlled in -1.99∼-1.67 and 1.63∼2.1 (rad), and the controlled PDs around -0.4 (rad) should be avoid to ensure a stronger synchronization ability.
为了改善振动系统的自同步和控制同步分别受到固有特性和产品成本限制的问题，通过将它们结合起来，针对由三个振动器驱动的空间远共振振动系统提出了一种多相复合同步方案。基于建立的数学模型和滑模控制（SMC）算法，设计了一个振动器的控制器以实现多相控制同步。然后通过小参数平均方法和 Routh-Hurwitz 准则分析了另外两个振动器的自同步机制。此外，还进一步进行了多相复合同步状态下的必要计算和仿真案例。研究结果表明，在稳定运行区域可以实现三个振动器的多相复合同步，但当两个同轴振动器之间的相位差（PD）控制在-1.99∼-1.67 和 1.63∼2.1（rad）时，由于偏心转子（ER）的严重质量不对称，会引起混沌行为，并且应避免控制 PD 约为-0.4（rad），以确保更强的同步能力。
