考虑维修效果差异性的顺序预防性维修策略

doi:10.16183/j.cnki.jsjtu.2022.023

上海交通大学学报 ›› 2023, Vol. 57 ›› Issue (11): 1522-1530.doi: 10.16183/j.cnki.jsjtu.2022.023

所属专题：《上海交通大学学报》2023年“机械与动力工程”专题

• 机械与动力工程 • 上一篇

考虑维修效果差异性的顺序预防性维修策略

黎新龙¹, 冉琰¹, 张根保¹^,²^,³(), 何彦¹^,²

1.重庆大学机械与运载工程学院, 重庆 400044
2.重庆大学机械传动国家重点实验室, 重庆 400044
3.重庆文理学院智能制造工程学院, 重庆 402160

收稿日期:2022-01-24 修回日期:2022-02-28 接受日期:2022-08-10 出版日期:2023-11-28 发布日期:2023-12-01
通讯作者: 张根保,教授,博士生导师;E-mail: gen.bao.zhang@263.net.
作者简介:黎新龙(1993-),博士生,从事维修决策与优化研究.
基金资助:
国家自然科学基金(51835001);机械传动国家重点实验室自主研究课题(SKLMT-ZZKT-2021R06)

Sequential Preventive Maintenance Strategy Considering Difference of Maintenance Effect

LI Xinlong¹, RAN Yan¹, ZHANG Genbao¹^,²^,³(), HE Yan¹^,²

1. College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400044, China
2. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, China
3. School of Intelligent Manufacturing Engineering, Chongqing University of Arts and Sciences, Chongqing 402160, China

Received:2022-01-24 Revised:2022-02-28 Accepted:2022-08-10 Online:2023-11-28 Published:2023-12-01

摘要/Abstract

摘要：

合适的预防性维修在一定程度上能提高设备可靠性,延长设备寿命.针对目前预防性维修策略决策粒度过大且鲜有考虑预防性维修对不同类型故障维修效果的差异性等问题,研究了元动作单元的不完全顺序预防性维修策略.以元动作单元为研究载体,将故障分为损伤类故障和本质疲劳类故障,基于广义几何过程(GGP)建立了考虑维修效果差异性的顺序预防性维修优化模型,分析了维修成本等因数对最优维修成本率以及最优维修策略的影响.研究表明:不考虑预防性维修效果的差异性会低估总体的维修成本率.同时,各类型维修成本、故障比例因子以及预防性维修效果参数都对维修策略的制定有显著影响.该研究对制定元动作单元顺序预防性维修策略,减少其维修成本具有一定的指导作用.

关键词: 预防性维修, 元动作单元, 广义几何过程, 顺序维修, 不完美维修

Abstract:

Proper preventive maintenance can improve equipment reliability and prolong equipment life to a certain extent. Aimed at the problems that the decision granularity of the current preventive maintenance strategy is too large and the maintenance effect of preventive maintenance on different types of failures is rarely considered, the imperfect sequential preventive maintenance strategy of the meta-action unit is studied. Taking the meta-action unit as the research carrier, the failures are divided into damage failure and essential fatigue failure according to the difference of preventive maintenance effect. Based on the generalized geometric process, a sequential preventive maintenance optimization model is established. The research shows that the overall maintenance cost rate will be underestimated without considering the differences in preventive maintenance effectiveness. At the same time, various types of maintenance costs, the proportion factor of damage-type failures and intrinsic fatigue-type failures, and the preventive maintenance effect parameter have a significant influence on the formulation of maintenance strategy. This research has a certain guiding role in formulating the sequential preventive maintenance strategy of meta-action unit and reducing its maintenance cost.

Key words: preventive maintenance, meta-action unit, generalized geometric process(GGP), sequential maintenance, imperfect maintenance

中图分类号:

TH17

黎新龙, 冉琰, 张根保, 何彦. 考虑维修效果差异性的顺序预防性维修策略[J]. 上海交通大学学报, 2023, 57(11): 1522-1530.

LI Xinlong, RAN Yan, ZHANG Genbao, HE Yan. Sequential Preventive Maintenance Strategy Considering Difference of Maintenance Effect[J]. Journal of Shanghai Jiao Tong University, 2023, 57(11): 1522-1530.

图/表 9

图1

图2

图3

表1

损伤类故障最小维修成本 c m 1对最优维修策略的影响

$c m 1$ /元	C^*/(元·h^-1)	N^*	维修间隔时间序列,x₁,…,x_k/h	更新周期长度/h
10	4.94	3	562.29, 354.81, 269.32	1 186.42
20	6.33	4	411.04, 268.80, 208.41, 170.22	1 058.46
30	7.54	5	332.41, 221.08, 173.26, 142.59, 118.94	988.28
40	8.64	5	283.04, 190.11, 149.95, 123.98, 103.79	850.87
50	9.67	5	248.68, 168.11, 133.17, 110.46, 92.69	753.10
60	10.65	6	223.14, 151.53, 120.41, 100.1, 84.145, 70.46	749.80
70	11.58	6	203.29, 138.52, 110.33, 91.88, 77.33, 64.82	686.17
80	12.45	6	187.34, 127.98, 102.12, 85.16, 71.75, 60.19	634.53
90	13.33	6	174.18, 119.24, 95.284, 79.54, 67.08, 56.31	591.64
100	14.16	6	163.12, 111.86, 89.49, 74.77, 63.10, 53.00	555.33

表1

表2

本质疲劳类故障最小维修成本 c m 2对最优维修策略的影响

$c m 2$ /元	C^*/(元·h^-1)	N^*	维修间隔时间序列,x₁,…,x_k/h	更新周期长度/h
10	8.39	6	266.39, 184.66, 148.86, 125.11, 106.07, 89.40	920.48
20	8.65	6	262.60, 181.03, 145.36, 121.80, 103.01, 86.66	900.45
30	8.92	6	258.94, 177.57, 142.05, 118.69, 100.16, 84.12	881.54
40	9.17	6	255.40, 174.27, 138.93, 115.78, 97.51, 81.77	863.65
50	9.43	6	251.98, 171.12, 135.98, 113.04, 95.02, 79.56	846.70
60	9.67	5	248.68, 168.11, 133.17, 110.46, 92.69	753.10
70	9.91	5	245.48, 165.23, 130.51, 108.02, 90.49	739.72
80	10.14	5	242.38, 162.46, 127.97, 105.70, 88.42	726.94
90	10.37	5	239.38, 159.82, 125.56, 103.51, 86.46	714.73
100	10.60	5	236.47, 157.27, 123.25, 101.43, 84.61	703.04

表2

表3

表4

表5

表6

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c_p/元	C^*/(元·h^-1)	N^*	维修间隔时间序列,x₁,…,x_k/h	更新周期长度/h
100	8.76	7	248.68, 158.63, 120.17, 96.17, 78.38, 63.97, 51.80	817.83
200	9.67	5	248.68, 168.11, 133.17, 110.46, 92.69	753.10
300	10.33	4	248.68, 177.32, 145.57, 123.86	695.43
400	10.85	4	248.68, 186.30, 157.46, 136.58	729.02
500	11.25	3	248.68, 195.07, 168.92	612.66
600	11.60	2	248.68, 203.65	452.32
700	11.84	2	248.68, 212.05	460.72
800	12.06	1	248.68	248.68
900	12.06	1	248.68	248.68
1000	12.06	1	248.68	248.68

c_r/元	C^*/(元·h^-1)	N^*	维修间隔时间序列,x₁,…,x_k/h	更新周期长度/h
200	7.05	1	85.05	85.05
300	7.87	2	111.44, 93.781	205.22
400	8.29	3	135.00, 105.90, 91.70	332.60
500	8.61	4	156.66, 117.36, 99.19, 86.04	459.25
600	8.86	4	176.91, 128.29, 106.41, 91.18	502.78
700	9.10	5	196.05, 138.77, 113.39, 96.17, 82.07	626.47
800	9.30	5	214.31, 148.87, 120.17, 101.05, 85.68	670.07
900	9.49	5	231.81, 158.63, 126.75, 105.81, 89.22	712.22
1000	9.67	5	248.68, 168.11, 133.17, 110.46, 92.69	753.10

e	f	C^*/(元·h^-1)	N^*	维修间隔时间序列,x₁,…,x_k/h	更新周期长度/h
0.1	0.9	13.29	1	225.66	225.66
0.2	0.8	13.14	1	228.25	228.25
0.3	0.7	12.99	1	230.91	230.91
0.4	0.6	12.69	2	233.65, 139.68	373.32
0.5	0.5	11.27	2	236.47, 144.39	380.86
0.6	0.4	11.79	3	239.38, 149.52, 112.84	501.73
0.7	0.3	11.20	3	242.38, 155.13, 118.72	516.22
0.8	0.2	10.8	4	245.48, 161.29, 125.43, 102.65	634.85
0.9	0.1	9.67	5	248.68, 168.11, 133.17, 110.46, 92.69	753.10
1.0	0	8.70	7	251.98, 175.69, 142.23, 119.93, 101.94, 86.104, 71.72	949.61

ν	C^*/(元·h^-1)	N^*	维修间隔时间序列,x₁,…,x_k/h	更新周期长度/h
0.02	9.93	4	248.68, 164.87, 125.12, 96.99	635.65
0.04	10.27	4	248.68, 158.5, 110.1, 74.06	591.33
0.06	10.48	3	248.68, 152.27, 96.51	497.46
0.08	10.66	3	248.68, 146.19, 84.29	479.16
0.1	10.83	3	248.68, 140.27, 73.36	462.31
0.3	11.60	2	248.68, 89.64	338.32
0.5	12.06	1	248.68	248.68
0.7	12.06	1	248.68	248.68
0.7	12.06	1	248.68	248.68

考虑维修效果差异性的顺序预防性维修策略

Sequential Preventive Maintenance Strategy Considering Difference of Maintenance Effect

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