Song Jinzhou, Wang Yifan, Hou Lei, Zhang Tao, Zhang Minghe, Zhang Zhibin, Jiang Yifan, Chen Yi, Lin Rongzhou, Chen Yushu
School of Astronautics, Harbin Institute of Technology, Harbin, 150001, China.
Beijing Power Machinery Institute, Beijing, 100074, China.
Sci Rep. 2025 Jul 2;15(1):23301. doi: 10.1038/s41598-025-06446-3.
Gear-bearing drive systems often exhibit manufacturing and installation errors, which can significantly affect system performance, and longevity, and increase the probability of failures. This paper focuses on the reliability analysis of gear-bearing drive systems with uncertainties in system parameters such as gear backlash and bearing clearance, caused by gear and bearing manufacturing and installation errors. First, a dynamic model of the gear-bearing drive system, incorporating coupled dynamic meshing parameters, is established. Then, the deterministic dynamic model of the system is combined with the Chebyshev interval analysis method to develop a reliability analysis model for the gear-bearing drive system with uncertain parameters. The study analyzes the variations in system natural frequencies and vibration responses due to gear quality and initial gear and bearing clearances at different deviation rates. The results indicate that at the same rotational speed and deviation rate, the initial bearing clearance has a more significant impact on the system's dynamic characteristics compared to the initial gear clearance. At different rotational speeds and the same deviation rate, system reliability decreases with increasing average initial interference of the bearing at low speeds. At high speeds, a large bearing clearance deviation may cause abnormal fluctuations in system vibration. This method provides a prioritization of parameter control for the structural optimization and design of gear-bearing systems.
齿轮-轴承传动系统常常存在制造和安装误差,这会显著影响系统性能、寿命,并增加故障概率。本文聚焦于具有系统参数不确定性的齿轮-轴承传动系统的可靠性分析,这些不确定性参数如齿轮侧隙和轴承间隙,是由齿轮和轴承的制造及安装误差引起的。首先,建立了包含耦合动态啮合参数的齿轮-轴承传动系统动力学模型。然后,将系统的确定性动力学模型与切比雪夫区间分析方法相结合,建立了具有不确定参数的齿轮-轴承传动系统可靠性分析模型。该研究分析了不同偏差率下由于齿轮质量以及初始齿轮和轴承间隙导致的系统固有频率和振动响应的变化。结果表明,在相同转速和偏差率下,相比于初始齿轮间隙,初始轴承间隙对系统动态特性的影响更为显著。在不同转速和相同偏差率下,在低速时系统可靠性随着轴承平均初始过盈量的增加而降低。在高速时,较大的轴承间隙偏差可能会导致系统振动出现异常波动。该方法为齿轮-轴承系统的结构优化设计提供了参数控制的优先级。