正态型寿命分布设备的可用性分析

doi:10.12382/bgxb.2022.0606

摘要/Abstract

摘要：

设备可用性的解析计算方法具有过程直接、结果准确的优点,但其建模过程复杂,目前研究相对较少,而多采用随机过程或仿真的方法进行分析。针对寿命服从正态分布的设备,考虑预防性维修与视情维修情形,推导出设备使用可用度与瞬时可用度的解析求解方法,模拟设备的工作与维修过程,构建了设备使用可用度与瞬可时用度的仿真分析方法。采用不同寿命分布参数的设备进行算例验证,结果表明两种方法具有较好的一致性,可为正态型寿命分布设备的预防性维修与视情维修方案评价与优化提供技术途径。

关键词: 设备, 使用可用度, 瞬时可用度, 预防性维修, 视情维修

Abstract:

Analytical calculation method for the analysis of equipment availability has the advantage of direct deduction process and accurate prediction of results, but it has been rarely reported due to the complexity of modeling process. Current availability analysis is mostly based on stochastic process or simulation methods. Considering preventive maintenance and condition-based maintenance, an analytical calculation method is proposed to calculate the operational availability and instantaneous availability of equipment, of which life is assumed to follow normal distribution. A simulation method is also constructed to determine the operational availability and instantaneous availability by simulating the working and maintenance process of the equipment. The analytical and simulation methods agree well with each other by comparing the availabilities of equipment with several set of different life distribution parameters. The proposed analytical method could provide support for the evaluation and optimization of preventive maintenance and condition-based maintenance schemes for equipment with normal life distribution.

Key words: equipment, operational availability, instantaneous availability, preventive maintenance, condition-based maintenance

中图分类号:

TJ07

陈旭, 张书锋, 李岳, 陈循, 汪亚顺. 正态型寿命分布设备的可用性分析[J]. 兵工学报, 2024, 45(3): 986-996.

CHEN Xu, ZHANG Shufeng, LI Yue, CHEN Xun, WANG Yashun. Availability Analysis for Equipment with Normal Life Distribution[J]. Acta Armamentarii, 2024, 45(3): 986-996.

图/表 15

图1 寿命预测模型

Fig.1 Lifetime prediction model

图2 预防性维修仿真流程

Fig.2 Simulation process of preventative maintenance strategy

图3 故障前维修概率解析结果

Fig.3 Analytical results of probability of maintenance before failure

图4 使用可用度解析结果

Fig.4 Analytical results of operational availability

图5 预防性维修与视情维修使用可用度对比

Fig.5 Operational availabilities of equipment after preventive maintenance and condition-based maintenance

图6 瞬时可用度解析结果

Fig.6 Analytical results of instantaneous availability

表1 重复实验仿真结果

Table 1 Simulated results of repeated experiment

组别及均值	i	j	R'_p	TBR	A'_p
1	1166	984	0.8439	91519	0.9152
2	1168	976	0.8356	91399	0.9140
3	1167	973	0.8338	91332	0.9133
4	1164	990	0.8505	91512	0.9151
5	1164	979	0.8411	91359	0.9136
6	1164	982	0.8436	91418	0.9142
7	1167	990	0.8483	91411	0.9141
8	1167	968	0.8295	91213	0.9121
9	1168	990	0.8476	91396	0.914
10	1165	984	0.8446	91387	0.9139
均值	1166	982	0.8418	91395	0.9139

图7 重复仿真结果与解析结果对比

Fig.7 Comparison between repeated simulated results and analytical results

表2 不同时长仿真结果

Table 2 Simulated values with different working hours

指标仿真值	T_W/h
指标仿真值	10³	10⁴	10⁵	10⁶	10⁷	10⁸
R'_p	0.8334	0.8402	0.8423	0.8421	0.8412	0.8412
A'_p	0.9154	0.9139	0.9135	0.9135	0.9134	0.9134

图8 不同时长仿真结果与解析结果对比

Fig.8 Comparison between simulated results with different working hours and analytical results

图9 故障前维修概率的仿真与理论计算结果对比

Fig.9 Comparison between simulated results and analytical results of probability of maintenance before failure

图10 使用可用度的仿真与理论计算结果对比

Fig.10 Comparison between simulated results and analytical results of operational availability

图11 仿真拟合值与理论解对比

Fig.11 Comparison between simulation fitted value and analytical results

表3 仿真拟合值和理论解的最大差值

Table 3 Maximum difference between the simulation fitted value and the theoretical solution

δ/h	ΔR_p/%	ΔA_p/%	ΔR_c/%	ΔA_c/%
5	1.767	0.149	1.588	0.165
15	0.502	0.098	0.591	0.078
25	0.891	0.033	0.831	0.113

图12 瞬时可用度仿真结果与解析结果对比

Fig.12 Comparison between simulated results and analytical results of instantaneous availability

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