Thermal Diagnostics of Friction in Self-Lubricating Sliding Bearings with Swinging Movement of the Shaft

IF 0.5 4区工程技术 Q4 ENGINEERING, MECHANICAL Journal of Friction and Wear Pub Date : 2023-09-25 DOI:10.3103/S1068366623030108

N. P. Starostin, R. S. Tikhonov

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Abstract—

For thermal diagnostics of friction determining the time dependence of frictional heat generation and, accordingly, the moment of friction in self-lubricating sliding bearings using temperature data, an algorithm for solving the inverse problem of heat conduction by iterative regularization is proposed. The iterative regularization algorithm for restoring the frictional heat generation function from temperature data using a three-dimensional model of the thermal process and taking into account the speed of the swinging movement of the shaft is implemented. An assumption was made about the uniform distribution of specific heat generation along the length of the bearing to simplify the formulation of the problem. The numerical solution of the model problem was carried out with the shaft oscillating with a frequency of 1 Hz and amplitude of 7.5°. The time step was chosen from the Courant condition and was 0.1 s. The full-time interval was divided into local ones when solving the inverse problem in order to avoid storing large arrays of temperature data at each iteration. The solutions at the junctions of local intervals were glued. A condition for stopping the iterative process of restoring the frictional heat generation function is proposed, taking into account the total error in temperature measurements and calculations using local intervals. Calculations show that the accuracy of restoring the function of the specific intensity of frictional heat generation using the developed algorithm for solving the inverse problem of 9.9% is commensurate with the accuracy of 3.8% of specifying temperature information. The developed algorithm for determining frictional heat generation using a 3D model of the thermal process can be used to determine the friction torque from temperature data in real self-lubricating sliding bearings operating in the oscillation mode.

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轴摆动自润滑滑动轴承摩擦的热诊断

摘要——为了对摩擦进行热诊断，利用温度数据确定摩擦发热的时间依赖性，从而确定自润滑滑动轴承的摩擦力矩，提出了一种通过迭代正则化求解热传导逆问题的算法。使用热过程的三维模型并考虑轴的摆动速度，实现了从温度数据恢复摩擦生热函数的迭代正则化算法。为了简化问题的公式，假设比热产生沿轴承长度的均匀分布。模型问题的数值求解是在轴以1Hz的频率和7.5°的振幅振荡的情况下进行的。时间步长从Courant条件中选择，为0.1s。在求解逆问题时，将全时间隔划分为局部间隔，以避免在每次迭代时存储大量的温度数据。局部间隔连接处的溶液被粘在一起。考虑到使用局部区间进行温度测量和计算的总误差，提出了停止恢复摩擦生热函数的迭代过程的条件。计算表明，使用所开发的求解逆问题的算法恢复摩擦生热比强度函数的精度为9.9%，与指定温度信息的精度为3.8%相当。所开发的使用热过程的3D模型确定摩擦热产生的算法可用于根据在振荡模式下运行的真实自润滑滑动轴承中的温度数据确定摩擦扭矩。

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来源期刊

Journal of Friction and Wear ENGINEERING, MECHANICAL-MATERIALS SCIENCE, MULTIDISCIPLINARY

CiteScore

1.50

自引率

28.60%

发文量

审稿时长

6-12 weeks

期刊介绍： Journal of Friction and Wear is intended to bring together researchers and practitioners working in tribology. It provides novel information on science, practice, and technology of lubrication, wear prevention, and friction control. Papers cover tribological problems of physics, chemistry, materials science, and mechanical engineering, discussing issues from a fundamental or technological point of view.