Reliability Allocation of NC Machine Tool Subsystem Based on Improved ARINC Method

doi:10.12068/j.issn.1005-3026.2024.02.010

Abstract

Abstract:

According to the collected fault information of a domestic NC machine tool， the subsystem is divided， and the reliability allocation method is improved according to the NC machine tool correlation model to allocate the target value. The membership degree set of influencing factors is established using the analytic hierarchy process （AHP）， and the centrality influencing factors of fault-related data are determined using the DEMATEL decision laboratory analysis method. The membership function set is determined by combining maintainability， maintenance time， failure downtime， failure times， and complexity. Then the reliability allocation factor of the NC machine tool is calculated. The impact factor is introduced into the ARINS allocation method to improve the method so that the improved method is suitable for the system with subsystems connected in series and fault correlation. Numerical examples show that the proposed method can reduce the failure time requirement of the subsystem compared with the traditional ARINS method. At the same time， to verify the rationality of the distribution results in this paper， the Monte Carlo simulation method is used to predict the reliability of the target machine tool based on the distribution results， and the calculation results prove the feasibility of this method.

Key words: NC machine tool, correlation, DEMATEL decision laboratory analysis, improved ARINC method, reliability allocation

CLC Number:

TH 181

Xian-zhen HUANG, Chao SUN, Cheng-ying ZHAO, Yang LIU. Reliability Allocation of NC Machine Tool Subsystem Based on Improved ARINC Method[J]. Journal of Northeastern University(Natural Science), 2024, 45(2): 226-233.

Figures/Tables 13

Fig. 1 Failure data scatter diagram

Fig. 2 Subsystem directed diagram

Table 1 Reliability impact of part 1 with subsystems

子系统

可靠度

影响度

第1部分

可靠度

Table 2 Impact of each group on the reliability of the whole system

各分组

可靠度

可靠性

影响度

整机

可靠度

Table 3 Impact of the group，foundation，and NC system on the reliability of the whole system

可靠度	可靠性影响度
R_B=0.746 3	I_B=0.063 1
R_N=0.695 3	I_N=0.077 9
R_Z’=0.204 0	I_Z’=0.747 5

Table 4 Impact between subsystems

子系统	影响度R_j	被影响度D_j	原因度 R_j -D_j	中心度R_j +D_j
基础B	0	0.333 4	-0.333 4	0.333 4
传动T	0.365 8	0.027 2	0.338 6	0.393
进给F	0.092 2	0.045 6	0.046 6	0.137 8
刀架K	0.614 2	0	0.614 2	0.614 2
装夹G	0.669 8	0	0.669 8	0.669 8
数控N	0.098 6	0.223 8	-0.125 2	0.322 4
液压H	0.045 0	0.688 9	-0.643 9	0.733 9
排屑R	0.068 3	0.135 8	-0.067 5	0.204 1
冷却C	0.430 9	0.022 2	0.408 7	0.453 1
润滑L	0.119 2	0	0.119 2	0.119 2
电气E	0.024 3	1.051 4	-1.027 1	1.075 7

Table 5 Impact of other influencing factors

子系统代号	维修性	维修时间	故障停时	故障次数	复杂度
B	0.098 4	0.085 9	0.041 9	0.097 6	0.040 8
T	0.151 0	0.062 2	0.036 1	0.053 4	0.081 6
F	0.075 8	0.086 7	0.069 3	0.077 3	0.155 1
K	0.025 1	0.126 7	0.224 9	0.105 0	0.253 1
G	0.132 6	0.102 2	0.036 3	0.099 4	0.114 3
N	0.143 9	0.030 4	0.041 3	0.023 9	0.057 1
H	0.015	0.108 1	0.015 9	0.108 7	0.049 0
R	0.012 6	0.205 2	0.327 5	0.233 9	0.044 9
C	0.103 6	0.133 3	0.040 9	0.147 3	0.036 7
L	0.086 0	0.031 9	0.058 9	0.029 5	0.036 7
E	0.069 5	0.027 4	0.076 7	0.023 9	0.130 6

Table 6 The values of the assumed parameters of each subsystem

$I i r e l'$	数值	l_i₁	数值	l_i₂	数值
I $K 相关'$	0.020 8	l_K	1/1.286 3	l_K	1/1.020 8
I $L 相关'$	0.021 7	l_L	1/1.221 9	l_L	1/1.021 7
I $F 相关'$	0.019 3	l_F	1/1.320 2	l_F	1/1.019 3
I $E 相关'$	0.021 5	l_E	1/1.215 9	l_E	1/1.021 5
I $T 相关'$	0.017 3	l_T	1/1.535 4	l_T	1/1.017 3
I $G 相关'$	0.021 1	l_G	1/1.229 0	l_G	1/1.021 1
I $C 相关'$	0.020 8	l_C	1/1.284 3	l_C	1/1.020 8
I $R 相关'$	0.019 4	l_R	1/1.504 2	l_R	1/1.019 4
I $H 相关'$	0.020 6	l_H	1/1.310 0	l_H	1/1.020 6
I $B 相关'$	0.018 1	l_B	1/1.286 3	l_B	1/1.018 1
I $N 相关'$	0.019 4	l_N	1/1.248 9	l_N	1/1.019 4

Table 6 The values of the assumed parameters of each subsystem

$I i r e l'$	数值	l_i₁	数值	l_i₂	数值
I $K 相关'$	0.020 8	l_K	1/1.286 3	l_K	1/1.020 8
I $L 相关'$	0.021 7	l_L	1/1.221 9	l_L	1/1.021 7
I $F 相关'$	0.019 3	l_F	1/1.320 2	l_F	1/1.019 3
I $E 相关'$	0.021 5	l_E	1/1.215 9	l_E	1/1.021 5
I $T 相关'$	0.017 3	l_T	1/1.535 4	l_T	1/1.017 3
I $G 相关'$	0.021 1	l_G	1/1.229 0	l_G	1/1.021 1
I $C 相关'$	0.020 8	l_C	1/1.284 3	l_C	1/1.020 8
I $R 相关'$	0.019 4	l_R	1/1.504 2	l_R	1/1.019 4
I $H 相关'$	0.020 6	l_H	1/1.310 0	l_H	1/1.020 6
I $B 相关'$	0.018 1	l_B	1/1.286 3	l_B	1/1.018 1
I $N 相关'$	0.019 4	l_N	1/1.248 9	l_N	1/1.019 4

Table 7 Reliability index assignment of each subsystem

系统名称	现有子系统MTBF	l_i₁模型下分配指标	l_i₂模型下分配指标	传统阿林斯方法分配指标	串联独立分配指标	可靠度
刀架	2 133.8	7 537.1	11 302	14 114	12 386	0.999 881
润滑	2 196.0	10 164	15 258	18 644	19 562	0.999 884
进给	2 129.2	9 391.3	14 078	18 586	15 710	0.999 894
电气	2 597.4	9 534.5	14 297	17 384	17 306	0.999 867
传动	2 665.8	8 585.2	12 873	19 765	20 044	0.999 888
装夹	2 283.6	8 954.1	13 432	16 509	16 095	0.999 906
冷却	2 232.7	7 832.2	11 749	15 089	16 580	0.999 872
排屑	2 156.9	5 781.3	8 672	13 045	12 867	0.999 827
液压	2 730.3	7 807.8	11 707	15 336	16 809	0.999 872
基础	3 839.6	8 468.9	12 704	16 341	17 642	0.999 902
数控	2 408.0	10 606	15 904	19 862	21 214	0.999 895
整机	1 300	1 500	1 500	1 500	1 500	0.999

Table 8 MTBF of each subsystem in different modes

子系统代码	M1	M2	M0
K	11 302	13 826	14 114
L	15 227	18 248	18 644
F	14 080	18 234	18 586
E	14 275	17 018	17 384
T	12 887	19 429	19 765
G	13 430	16 167	16 509
C	11 756	14 782	15 089
R	8 686	12 797	13 045
H	11 715	15 027	15 336
B	12 709	16 051	16 341
N	15 879	19 484	19 862

Fig. 3 MTBF comparison diagram of each subsystem

Fig. 4 Monte Carlo simulation flow chart of CNC machine tool

Table 9 Actual subsystem failure times

子系统代码	实际故障次数	子系统代码	实际故障次数
K	31	C	62
L	11	R	130
F	39	H	88
E	57	B	67
T	14	N	19
G	25

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