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Numerical Modelling of Vibration Responses of Helical Gears under Progressive Tooth Wear for Condition Monitoring
Mathematics ( IF 2.3 ) Pub Date : 2021-01-21 , DOI: 10.3390/math9030213
Xiuquan Sun , Tie Wang , Ruiliang Zhang , Fengshou Gu , Andrew D. Ball

Gear wear is a common fault that occurs in a gear transmission system that degrades the operating efficiency and may cause other catastrophic failures such as tooth breakage and fatigue. The progressive wear of a helical gear and its influences on vibration responses are rarely investigated due to the combined effects of the complicated lubrication state and the time-varying characteristic. To fill this gap, a numerical study was put forward to investigate the interactions between gear wear and dynamic response. In this study, an Archard’s wear model with elastohydradynamic lubrication (EHL) effect is adopted to simulate the helical gear wear, which is incorporated with an eight-degree of freedom dynamic model for understanding the gear dynamic at different wear degrees. The wear model shows that the gear wear mainly happens at the gear root due to the relative high slide-to-roll ratio. The dynamic modelling results demonstrate that the wear causes a reduction in time-varying gear mesh stiffness further leads to more vibration. Besides, the simulated vibration responses and experimental validation show that the wear cause increases in the amplitudes of the gear mesh frequency and its harmonics, which can reflect the evolution of progressive gear wear and can be used as monitoring features of gear wear.

中文翻译:

渐进齿磨损下斜齿轮振动响应数值模拟的状态监测

齿轮磨损是齿轮传动系统中常见的故障,会降低运行效率并可能导致其他灾难性故障,例如断齿和疲劳。由于复杂的润滑状态和时变特性的综合作用,很少研究斜齿轮的渐进磨损及其对振动响应的影响。为了填补这一空白,提出了一项数值研究来研究齿轮磨损与动态响应之间的相互作用。在这项研究中,采用具有弹性流体动力润滑(EHL)效果的Archard磨损模型来模拟斜齿轮的磨损,该模型与八自由度动力学模型相结合,以了解不同磨损程度下的齿轮动力学。磨损模型表明,齿轮磨损主要发生在齿轮根部,这是由于相对较高的滑动比。动态建模结果表明,磨损会导致随时间变化的齿轮啮合刚度降低,进而导致更大的振动。此外,仿真的振动响应和实验验证表明,磨损原因使齿轮啮合频率及其谐波的幅值增加,这可以反映出渐进式齿轮磨损的演变,可以用作齿轮磨损的监测特征。
更新日期:2021-01-21
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