滚动轴承单一局部损伤故障变刚度动力学建模

Dynamic modeling of variable stiffness for single local damage fault of rolling bearing

  • 摘要: 针对滚动轴承单一局部损伤故障动力学建模问题,基于Hertz接触理论,定义了接触变形保留因子,提出了基于静力学分析法的变刚度函数,建立了径向载荷作用下的滚动轴承单一局部损伤故障变刚度动力学模型,并进行了仿真和试验研究。研究结果表明,滚动体有效接触刚度在进入载荷区时突然增加,在退出载荷区和陷入故障时则突然减小,从而引起载荷区其他承载滚动体的接触力和接触变形突然减小或增加,以重新平衡外部载荷,但不影响其有效接触刚度;越靠近载荷区中心位置的滚动体受到的影响就越明显;同时导致系统总有效刚度突然增加或减小,从而引起系统振动。外环故障时,总有效刚度的变化是等幅的,导致时域振动响应也是等幅的;内环故障时,总有效刚度的变化和响应的幅值均受到内环旋转的调制而剧烈变化。提出的变刚度动力学模型与实际更加吻合,为有效地诊断滚动轴承故障提供了一定理论依据。

     

    Abstract: To address the dynamics modeling of a single local damage fault in rolling bearings, a comprehensive approach based on Hertz contact theory has been developed.Specifically, a contact deformation retention factor is defined and a variable stiffness function using a static analysis method is proposed. This allowed us to establish and simulate a variable stiffness dynamics model for a single local damage fault in rolling bearings under radial load. The model was also experimentally validated. The research results show that when the rolling element enters the load zone its effective contact stiffness suddenly increases. Conversely, when it exits the load zone or falls into the fault position, the stiffness suddenly decreases. This change causes the contact force and contact deformation of other load-carrying rolling elements in the load zone to suddenly decrease or increase to rebalance the external load. However, this does not affect the effective contact stiffness of the rolling element itself. The effect is more pronounced for rolling elements near the center of the load zone. Additionally, these changes cause the total effective stiffness of the system to suddenly increase or decrease, leading to system vibrations. When the outer race has a fault, the change in total effective stiffness is of equal amplitude, resulting in an equal-amplitude time-domain vibration response. In contrast, when the inner race has a fault, both the change in total effective stiffness and the response amplitude are modulated by the rotation of the inner race, leading to significant variations. The proposed variable stiffness dynamics model is more consistent with reality and provides a certain theoretical basis for effective diagnosis of rolling bearing faults.

     

/

返回文章
返回