磁球双支撑柔性转子动力学建模与特性分析
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沈阳工业大学机械工程学院

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国家自然基金项目(No.52375258,No.52405284),辽宁省自然科学基金项目(No.2023-BS-127),辽宁省教育厅项目(No. LJ222410142008,No. LJKMZ20220506,No. LJKMZ20220460,No. JYTMS20231191),辽宁省“揭榜挂帅”科技重点专项(No.2022JH1/10800081),辽宁省“揭榜挂帅”科技重大专项(No.2022JH1/10400027)


Dynamic modeling and characterization of a magnetic sphere double-brace flexible rotor
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The National Natural Science Foundation of China (No.52375258,No.52405284),Natural Science Foundation of Liaoning Province ( No.2023-BS-127 ),Liaoning Provincial Department of Education Project (No. LJ222410142008, No. LJKMZ20220506, No. LJKMZ20220460, No. JYTMS20231191),Liaoning Province

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    摘要:

    高速加工技术需要高转速和足够的刚度,磁悬浮轴承要满足此条件,常需要大体积和复杂的控制方法,而球轴承虽然刚度高,但其临界转速低。因此提出一种磁-球双支撑的转子系统用以满足高速加工,并基于Timoshenko梁理论,采用有限元法建立了双支撑转子系统动力学模型,并实验验证了该模型准确性。基于该动力学模型,通过数值仿真分析了转子系统的固有特性、振动特性,探究了球轴承和磁悬浮轴承刚度对固有特性的影响规律,比较了有无磁力介入时的转子系统振动响应幅值。从系统的转速、不平衡质量的大小和位置等因素,分析了双支撑转子系统抗振能力。结果表明,双支撑转子系统中,磁悬浮轴承的磁力介入会显著提高转子的临界转速,使系统的振动响应幅值减少。而系统振动幅值与系统转速、不平衡质量大小成正比,且振动易发生在转子输出端。

    Abstract:

    High-speed machining requires higher speed and sufficient dynamic stiffness. To meet the requirement of sufficient dynamic stiffness, magnetic bearings are more complicated to implement. Although ball bearings have high dynamic stiffness, their critical speed is low. Therefore, a magnetic-spherical double-supported rotor system is proposed to meet the requirements of high-speed machining. Based on the Timoshenko beam theory, the finite element method is used to establish the dynamic model of the double-supported rotor system, and the accuracy of the model is verified experimentally. Based on this dynamic model, the inherent characteristics and vibration characteristics of the rotor system were analyzed through numerical simulation, the influence of the stiffness of ball bearings and magnetic bearings on the inherent characteristics was explored, and the vibration response amplitude of the rotor system with and without magnetic force intervention was compared. The vibration resistance of the double-supported rotor system is analyzed based on factors such as the system""s rotational speed, the size and position of the unbalanced mass.The results show that in a double-support rotor system, the magnetic force intervention of the magnetic bearing will significantly increase the critical speed of the rotor and reduce the vibration response amplitude of the system. The system vibration amplitude is proportional to the system speed and the size of the unbalanced mass, and the vibration is prone to occur at the rotor output end.

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  • 收稿日期:2024-10-12
  • 最后修改日期:2024-11-30
  • 录用日期:2025-03-06
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