Abstract
Based on an analysis of failure causes, the axial force is the main reason why spindle bearings vibrate abnormally and cause frequent failures of the main fans in mines. In this paper, the probability density function of the spindle bearing vibration was established through the bootstrap maximum entropy method, the Lagrangian multiplier and the empirical coefficient were introduced, and models of the upper- and lower-bound functions of the probability density and the true value function of the failure probability were established. The true value function and interval estimation values of vibration reliability were obtained on the basis of maximum entropy. The analysis results showed that the estimation true values of vibration decreased with an increase in the empirical coefficient. When the empirical coefficient was less than 0.1, the estimated true value decreased sharply. When the empirical coefficient was greater than 0.1, the vibration value decreased linearly with the empirical coefficient. When the empirical coefficient was 0.1, the estimated true value was 0.85 mm/s2, which is consistent with the change in the actual vibration value. Therefore, when the main fan is fault predicted, the vibration value should be 0.85 mm/s2 as the basis for judgment and then the theoretical basis for the fault diagnosis of the spindle bearing are provided.
Highlights
As one of the fixed equipment in a coal mine, the main fan is responsible for conveying enough fresh air into the coal mine. is fresh air dilutes and discharges harmful gases and dust such as gas and carbon monoxide and ensures the safe operation of the coal mine. e performance and operating conditions of the main fan directly determine the safety of mine workers and the production efficiency in the coal mine [1,2,3]. e performance of the main fan, in turn, depends largely on the performance of its spindle bearings
Fractures in the bearings of the main fan in the Qinling Power Plant, located in Shanxi Province of China, caused the fan to malfunction and resulted in grave accidents [4]. erefore, in this paper, a reliability evaluation method for the spindle bearing is proposed, which provides a theoretical basis for the early fault warning processing of the bearing and is one of the necessary means to avoid malfunctioning of the main fan
(2) e bearing reliability estimation true value decreases as the empirical coe cient increases
Summary
As one of the fixed equipment in a coal mine, the main fan is responsible for conveying enough fresh air into the coal mine. is fresh air dilutes and discharges harmful gases and dust such as gas and carbon monoxide and ensures the safe operation of the coal mine. e performance and operating conditions of the main fan directly determine the safety of mine workers and the production efficiency in the coal mine [1,2,3]. e performance of the main fan, in turn, depends largely on the performance of its spindle bearings. Yang et al [14] proposed a new Bayesian method based on engineering knowledge and mathematical relation to obtain more accurate results of the reliability assessment for a small sample size (less than 12) and zero-failure data. Yin et al [16] proposed a reliability analysis method based on the E-Bayesian estimation for zero-failure data. Is discussion shows that many researchers have carried out research on products with unknown probability and known probability and have obtained many beneficial results Owing to their special operating conditions, the prior information and the test data are scarce for the spindle bearings of the main fan. The interval estimation of the reliability function is obtained according to the principle of minimum uncertainty. e spindle bearing of the coal mine fan is evaluated for reliability so as to provide a theoretical basis for their fault diagnosis
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