| 陈杨,马军,熊新,朱江艳.基于时变啮合刚度的多剥落齿轮振动响应分析[J].电子测量与仪器学报,2024,38(3):12-22 |
| 基于时变啮合刚度的多剥落齿轮振动响应分析 |
| Vibration response analysis of multi-stripped gears basedon time-varying meshing stiffness |
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| DOI： |
| 中文关键词: 剥落齿轮 时变啮合刚度 动力学模型 振动响应 |
| 英文关键词:gear peeling time-varying meshing stiffness dynamic model vibration response |
| 基金项目:国家自然科学基金（62163020，62173168）、云南省重大科技专项项目 ( 202202AD080005)、昆明理工大学“双一流”科技专项项目(202202AG050002)资助 |
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| Author | Institution |
| Chen Yang | 1.Faculty of Information Engineering and Automation Kunming University of Science and Technology,
Kunming 650500, China; 2.Yunnan International Joint Laboratory of Intelligent Control and Application
of Advanced Equipment， Kunming University of Science and Technology, Kunming 650500, China |
| Ma Jun | 1.Faculty of Information Engineering and Automation Kunming University of Science and Technology,
Kunming 650500, China; 2.Yunnan International Joint Laboratory of Intelligent Control and Application
of Advanced Equipment， Kunming University of Science and Technology, Kunming 650500, China |
| Xiong Xin | 1.Faculty of Information Engineering and Automation Kunming University of Science and Technology,
Kunming 650500, China; 2.Yunnan International Joint Laboratory of Intelligent Control and Application
of Advanced Equipment， Kunming University of Science and Technology, Kunming 650500, China |
| Zhu Jiangyan | 1.Faculty of Information Engineering and Automation Kunming University of Science and Technology,
Kunming 650500, China; 2.Yunnan International Joint Laboratory of Intelligent Control and Application
of Advanced Equipment， Kunming University of Science and Technology, Kunming 650500, China |
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| 中文摘要: |
| 为了探究多剥落齿轮系统中振动响应的演变规律，融合时变啮合刚度构建了多剥落齿轮动力学模型。首先，融合修正的能量法和单/双齿对啮合角位移计算方法，建立多剥落齿轮啮合刚度模型；其次，考虑时变啮合刚度、齿侧间隙和初始压力角等因素，构建6自由度多剥落齿轮动力学模型，并从仿真、理论和实验维度开展模型有效性分析；最后，基于所构建的模型，研究齿根、节线和齿顶位置同时发生剥落时，剥落尺寸变化对啮合刚度影响，获得多剥落齿轮振动响应的演变过程。研究结果表明，所构建模型与理论及实验误差小于0.5%，并得到了齿根、节线和齿顶位置剥落的啮合刚度及振动响应的演变规律，随着剥落宽度的扩展，节线附近振动幅值增大显著；随着剥落深度的增加，齿顶位置受到的振动冲击更为强烈；而随着剥落长度的增加，剥落的波及范围扩大。所得结论为齿轮系统的健康监测和早期故障诊断提供了理论指导。 |
| 英文摘要: |
| In order to investigate the evolution of the vibration response in the multi-scalp gear system, a multi-scalp gear dynamics model is constructed by integrating the time-varying meshing stiffness. Firstly, a multi-peeling gear meshing stiffness model is established by integrating the modified energy method and the single/double tooth pair meshing angular displacement calculation method; Secondly, a 6-degree-of-freedom multi-stripping gear dynamics model is constructed by considering the time-varying meshing stiffness, tooth side clearance and initial pressure angle, and the model validity is analysed from the simulation, theoretical and experimental dimensions; lastly, the effects of changes in the tooth root, pitch line, and tooth apex positions on the vibration response of the multi-peeling gear are investigated on the basis of the model; the evolution of the vibration response is obtained when the simultaneous peeling occurs. Finally, based on the constructed model, we study the influence of the change of spalling size on the meshing stiffness when spalling occurs at the same time, and obtain the evolution of the vibration response of multi-spalling gears. The results show that the error between the constructed model and the theoretical and experimental errors is less than 0.5%, and the evolution of the meshing stiffness and vibration response of the flaking at the tooth root, pitch line and tooth apex position is obtained. With the expansion of the flaking width, the vibration amplitude near the pitch line increases significantly; with the increase of the flaking depth, the vibration impact on the tooth apex position is more intense; and with the increase of the flaking length, the range of flaking is enlarged. The obtained conclusions provide theoretical guidance for the health monitoring and early fault diagnosis of the gear system. |
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