CN112488450A - Product average repair time distribution method based on region model - Google Patents

Product average repair time distribution method based on region model Download PDF

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CN112488450A
CN112488450A CN202011231894.7A CN202011231894A CN112488450A CN 112488450 A CN112488450 A CN 112488450A CN 202011231894 A CN202011231894 A CN 202011231894A CN 112488450 A CN112488450 A CN 112488450A
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repair time
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杨德真
崔译丹
任羿
王自力
孙博
冯强
钱诚
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Beihang University
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Abstract

The invention relates to a product average repair time distribution method based on a region model. It comprises four steps: (1) performing region division based on the product 3-D model to construct a region model; (2) constructing an average repair time influence factor set and a factor evaluation set of the region model; (3) distributing the average repair time of the area; (4) and distributing the average repair time of the devices in the area. Based on the invention, the quantitative requirement of the maintainability design of the product, namely the average repair time, can be more reasonably distributed to the component units, thereby providing guidance for the maintainability design.

Description

Product average repair time distribution method based on region model
Technical Field
The invention provides a product average repair time distribution method based on a region model, which is a method for dividing a product into regions, distributing an overall maintainability index of the product to a region firstly and then distributing the regional maintainability index to a device in the region. The invention belongs to the technical field of reliability engineering.
Background
In the course of the development or improvement of products, it is necessary to assign the maintainability quantitative requirements of the products to the constituent units according to given criteria. The existing maintainability distribution method is basically based on a product tree structure, and mainly considers the factors of the reliability, accessibility, detachability and the like of a product, the maintenance after the failure of a product composition unit is closely related to the overall layout of the product and the installation position of a failure piece, and the factors are not considered by the existing maintainability distribution method. In view of this, the invention provides a method for distributing maintainability indexes based on a region model, that is, a method for distributing average repair time of a product based on a region model, which can more reasonably distribute quantitative requirements of maintainability design of the product, namely, the average repair time, to constituent units, and provide guidance for the maintainability design.
Disclosure of Invention
The invention aims to more reasonably distribute quantitative requirements of 'average repair time' of product maintainability design to product composition units based on a product region model to be used as constraint of the product maintainability design.
The invention provides a product average repair time distribution method based on a region model, which mainly comprises the following steps:
the method comprises the following steps: and performing region division based on the product 3-D model to construct a region model.
According to the basic principle that the maintenance cover is not overlapped in a crossing mode and not cut, the rules for dividing the product area model are determined, a rule set is formed and used as the basis for building the area model, the rule set can be marked as { rule 1, rule 2, … and rule n }, wherein rule t represents the t-th rule which is required to be met when the area model is built. The rule set is constructed to satisfy the following conditions:
(1) sorting according to the importance degree of the rule, namely, the importance degree of rule 1 is the highest, and the importance degree of rule n is the lowest;
(2) when the product can not meet all the division rules, the rules with the lowest importance degree can be deleted according to the order of the importance degree of the rules;
(3) different products can be divided into regions according to the rule set;
(4) there must be no conflicting contradictions between the rules.
Step two: and constructing an average repair time influence factor set and a factor evaluation set of the region model.
According to the structural characteristics of the region model, a factor set influencing the maintainability of the region is constructed and used as a basis for measuring the average repair time of the region, and the factor set can be recorded as { e }1,e2,…,emIn which ejIndicating a jth repair influencing factor.
According to different degrees of the influence factors of the average repair time in the region model, a factor evaluation set is constructed and used as a basis for judging the level of the influence factors, and the factor evaluation set can be marked as { ek1,ek2,…,ek10In which eklThe ith grade of the kth influencing factor is represented, each grade corresponds to different evaluation scores, and the factor evaluation set and the evaluation scores meet the following conditions:
(1) the evaluation score should be expected to be small, i.e., the better the maintainability, the smaller the number;
(2) evaluation set { ek1,ek2,…,ek10The corresponding evaluation score is {1,2, …,10 };
(3) when the influence factors are evaluated, a subset can be selected from the evaluation set for evaluation.
The evaluation set and the evaluation score correspondence are shown in table 1:
table 1 evaluation set and evaluation score results schematic
Rank of Score of Description of the invention
ek1 1 Corresponds to ek1Description of the factors
ek2 2 Corresponds to ek2Description of the factors
ek10 10 Corresponds to ek10Description of the factors
Step three: and distributing the area average repair time.
And evaluating the region according to the region model influence factor set and the evaluation set, calculating the region weight, and distributing the average repair time. This step comprises 3 sub-steps:
step 1: and scoring the region based on the influence factor set and the evaluation set in the second step.
Step 2: and calculating a regional comprehensive weighting coefficient based on the scoring result, wherein the calculation formula is as follows:
Figure BDA0002765500670000021
Figure BDA0002765500670000022
Figure BDA0002765500670000023
Figure BDA0002765500670000024
wherein, [ e ]kl]Class i level e representing the kth influencing factorklCorresponding score, EwA maintenance weighting factor representing the area w, N the total number of areas,
Figure BDA0002765500670000025
representing the mean value of the maintenance weighting factors, delta, of the respective zoneswRepresenting the sum of all equipment failure rates for region w,
Figure BDA0002765500670000026
representing the mean value of the failure rates of the respective zones, alphawRepresenting the repair time integrated weighting coefficients for region w.
And step 3: according to the result of the weighting coefficient and the given average repair time requirement, the distribution of the area average repair time is carried out, and the distribution formula is as follows:
Figure BDA0002765500670000031
wherein the content of the first and second substances,
Figure BDA0002765500670000032
the average repair time of the whole system is shown,
Figure BDA0002765500670000033
the average repair time of the region w is indicated.
Step four: and distributing the average repair time of the devices in the area.
And taking the average repair time of the area obtained in the step three as constraint, analyzing and evaluating the condition of the equipment in the area according to the constructed area model, and distributing the average repair time. This step comprises 5 sub-steps:
step 1: and analyzing the equipment in the area, and constructing a factor set influencing the maintainability of the equipment.
Step 2: and according to different degrees of influencing the maintainability of the equipment, constructing a factor evaluation set as a basis for judging the grades of the influencing factors, wherein each evaluation grade corresponds to different scores, and the score is smaller as the maintainability is better.
And step 3: the devices are scored based on the set of influencing factors and the set of evaluations.
And 4, step 4: and calculating a comprehensive weighting coefficient, wherein the value of the coefficient is related to the evaluation score and the average value of the evaluation score.
And 5: based on the results of the weighting coefficients and on given serviceability requirements, an average repair time is assigned to each cell.
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FIG. 1 is a flow chart of the method
FIG. 2 is a schematic diagram of a military aircraft, showing (a) a top view and (b) a side view
FIG. 3 is a schematic illustration of a military aircraft in a zoned plan view (a) and in a side view (b)
Detailed Description
The process flow of the method of the invention is shown in figure 1. For a better understanding of the features and advantages of the present invention, reference is made to the following detailed description taken in conjunction with the accompanying drawings and examples. The present invention was embodied in the form of a military aircraft, as shown in FIG. 2. The specific implementation steps are as follows:
the method comprises the following steps: and performing region division based on the product 3-D model to construct a region model.
According to the basic principle that the maintenance cover is not overlapped in a crossing mode and not cut, the rules for dividing the product area model are determined, a rule set is formed and used as the basis for building the area model, the rule set can be marked as { rule 1, rule 2, … and rule n }, wherein rule t represents the t-th rule which is required to be met when the area model is built. The rule set is constructed to satisfy the following conditions:
(1) sorting according to the importance degree of the rule, namely, the importance degree of rule 1 is the highest, and the importance degree of rule n is the lowest;
(2) when the product can not meet all the division rules, the rules with the lowest importance degree can be deleted according to the order of the importance degree of the rules;
(3) different products can be divided into regions according to the rule set;
(4) there must be no conflicting contradictions between the rules.
An example a rule set for military aircraft zone partitioning may be represented as: { non-overlapping, existing flaps retained, divided by the interface between the main structures of the aircraft, longitudinally from head to tail, with the main structural elements divided separately }
The military aircraft is divided into a head part of the aircraft body, a middle part of the aircraft body, a tail part of the aircraft body, a left wing, a right wing, an undercarriage and an undercarriage door according to the above rules. As shown in fig. 3.
Step two: and constructing an average repair time influence factor set and a factor evaluation set of the region model.
According to the structural characteristics of the region model, a factor set influencing the maintainability of the region is constructed and used as a basis for measuring the average repair time of the region, and the factor set can be recorded as { e }1,e2,…,emIn which ejIndicating a jth repair influencing factor.
According to different degrees of the influence factors of the average repair time in the region model, a factor evaluation set is constructed and used as a basis for judging the level of the influence factors, and the factor evaluation set can be marked as { ek1,ek2,…,ek10In which eklThe ith grade of the kth influencing factor is represented, each grade corresponds to different evaluation scores, and the factor evaluation set and the evaluation scores meet the following conditions:
(1) the evaluation score should be expected to be small, i.e., the better the maintainability, the smaller the number;
(2) evaluation set { ek1,ek2,…,ek10The corresponding evaluation score is {1,2, …,10 };
(3) when the influence factors are evaluated, a subset can be selected from the evaluation set for evaluation.
The evaluation set and the evaluation score correspondence are shown in table 2:
TABLE 2 evaluation set and evaluation score results schematic
Rank of Score of Description of the invention
ek1 1 Corresponds to ek1Description of the factors
ek2 2 Corresponds to ek2Description of the factors
ek10 10 Corresponds to ek10Description of the factors
Factors affecting the average repair time of the nose, mid-fuselage, landing gear and landing gear door zones in military aircraft include the number and layout of flaps, the number of equipment and the overall failure rate, the overall capacity of maintenance personnel, and the fault detection and isolation factors. The reference values of the various influencing factors and factor evaluations are as follows:
TABLE 3 number and layout of flaps (e)1)
Rank of e1 Description of the invention
Superior food 1 The quantity and the layout of the covering covers are convenient for maintenance personnel to carry out regional equipment maintenance
Good wine 3 The number of the covering covers is small, and the layout can not completely meet the maintenance requirement
Difference (D) 5 The number of the covering covers is small, and the arrangement is inconvenient for maintenance personnel to carry out regional maintenance
TABLE 4 number of devices and Total failure Rate (e)2)
Rank of e2 Description of the invention
Light and slight 1 Few devices in the area and low comprehensive failure rate
Medium and high grade 3 The number of devices in the area is large, and the comprehensive failure rate is high
Severe severity of disease 5 The number of devices in the area is large, and the comprehensive failure rate is high
TABLE 5 serviceman Complex Capacity (e)3)
Figure BDA0002765500670000051
TABLE 6 Fault detection and isolation factor (e)4)
Rank of e4 Description of the invention
Automatic 1 System can automatically detect unit faults in area for feedback
Semi-automatic 3 The system detects that a fault occurs in the area but cannot proceedLine fault location
Artificial operation 5 Maintenance personnel regularly carry out regional maintenance inspection
Step three: and distributing the area average repair time.
And evaluating the region according to the region model influence factor set and the evaluation set, calculating the region weight, and distributing the average repair time. This step comprises 3 sub-steps:
step 1: and scoring the region based on the influence factor set and the evaluation set in the second step.
Step 2: and calculating a regional comprehensive weighting coefficient based on the scoring result, wherein the calculation formula is as follows:
Figure BDA0002765500670000052
Figure BDA0002765500670000053
Figure BDA0002765500670000054
Figure BDA0002765500670000055
wherein, [ e ]kl]Class i level e representing the kth influencing factorklCorresponding score, EwA maintenance weighting factor representing the area w, N the total number of areas,
Figure BDA0002765500670000056
representing the mean value of the maintenance weighting factors, delta, of the respective zoneswRepresenting the sum of all equipment failure rates for region w,
Figure BDA0002765500670000057
representing the mean value of the failure rates of the respective zones, alphawRepresenting the repair time integrated weighting coefficients for region w.
And step 3: according to the result of the weighting coefficient and the given average repair time requirement, the distribution of the area average repair time is carried out, and the distribution formula is as follows:
Figure BDA0002765500670000061
wherein the content of the first and second substances,
Figure BDA0002765500670000062
the average repair time of the whole system is shown,
Figure BDA0002765500670000063
the average repair time of the region w is indicated.
Average repair time requirements for military aircraft systems are
Figure BDA0002765500670000064
For military aircraft fuselage nose (P)1) Middle part of the fuselage (P)2) Landing gear and landing gear door (P)3) The average repair time distribution is carried out on 3 areas, and if the maintenance factors of the areas are shown in the table 7, the area P is1、P2、P3The average repair time calculation results of (a) are as follows:
TABLE 7 region P1、P2、P3Maintenance factor of
Figure BDA0002765500670000065
E1=1+3+5+3=12
E2=3+5+1+5=14
E3=3+5+3+5=16
Figure BDA0002765500670000066
Figure BDA0002765500670000067
Figure BDA0002765500670000068
Figure BDA0002765500670000069
Figure BDA00027655006700000610
Region P1
Figure BDA00027655006700000611
Region P2
Figure BDA00027655006700000612
Region P3
Figure BDA00027655006700000613
Step four: and distributing the average repair time of the devices in the area.
And taking the average repair time of the area obtained in the step three as constraint, analyzing and evaluating the condition of the equipment in the area according to the constructed area model, and distributing the average repair time. This step comprises 5 sub-steps:
step 1: and analyzing the equipment in the area, and constructing a factor set influencing the maintainability of the equipment.
Step 2: and according to different degrees of influencing the maintainability of the equipment, constructing a factor evaluation set as a basis for judging the grades of the influencing factors, wherein each evaluation grade corresponds to different scores, and the score is smaller as the maintainability is better.
Further, on the basis of the example of step three, the average repair time of military aircraft landing gear and landing gear door areas is assigned to the equipment within the area, and the maintainability influence factors of the equipment include a fault detection factor, an accessibility factor, a fault mode factor and a loading and unloading factor. The reference values of the various influencing factors and factor evaluations are as follows:
TABLE 8 Fault detection factors
Type (B) f1 Description of the invention
Automatic 1 The equipment can automatically feed back when the equipment is in failure and give out warning
Semi-automatic 3 When equipment fails, the system displays abnormity, but cannot judge fault points, and needs to manually search
Artificial operation 5 The equipment is judged whether to have faults or not by means of manual periodical examination
TABLE 9 reachability factor
Type (B) f2 Description of the invention
Superior food 1 Can directly and clearly see each part of the fault unit
Good wine 3 Can directly find out the fault unit, but some parts of the fault unit are shielded
Difference (D) 5 The faulty unit is completely shielded by other units, and the operation of removing the other units is required
TABLE 10 failure mode factor
Type (B) f3 Description of the invention
Simple and easy 1 Single failure mode of equipment
Medium and high grade 2 The failure modes of the equipment are relatively complex and relate to three to five failure modes
Complexity of 4 The failure modes of the equipment are complex and more than five failure modes are involved
TABLE 11 Loading factor
Type (B) f4 Description of the invention
Simple and easy 1 The fault unit is light and can be assembled and disassembled by one person
In general 4 Heavy failure unit requiring multiple loading and unloading
Difficulty in 6 The size of the fault unit is large,must be loaded and unloaded by using equipment
And step 3: the devices are scored based on the set of influencing factors and the set of evaluations.
And 4, step 4: and calculating a comprehensive weighting coefficient, wherein the value of the coefficient is related to the evaluation score and the average value of the evaluation score.
And 5: based on the results of the weighting coefficients and on given serviceability requirements, an average repair time is assigned to each cell.
The calculation formula of the above three substeps is as follows:
Fc=∑[fxy] (11)
Figure BDA0002765500670000081
Figure BDA0002765500670000082
Figure BDA0002765500670000083
Figure BDA0002765500670000084
wherein, [ f ]xy]Y-th level f representing the x-th influencing factorxyCorresponding score, FcRepresents the maintenance weighting factor for unit c, S represents the total number of units,
Figure BDA0002765500670000085
representing the mean value of the maintenance weighting factors, lambda, of each cellcThe failure rate of the cell c is represented,
Figure BDA0002765500670000086
indicating the mean failure rate of each cellValue, betacRepresents the repair time integration weighting factor for cell c,
Figure BDA0002765500670000087
the overall average repair time is expressed in terms of,
Figure BDA0002765500670000088
the average repair time of cell c is shown.
Average repair time distribution for 10 units such as landing gear retraction handle, buffer strut, nose gear wheel, etc. in the landing gear and landing gear door area of military aircraft, average repair time in landing gear and landing gear door area is required
Figure BDA0002765500670000089
Figure BDA00027655006700000810
The known cell maintenance factors are shown in table 12.
TABLE 12 maintenance factors for each Unit
Unit cell Fault detection factor Reachability factor Failure mode factor Loading and unloading factor λc
Landing gear retraction handle Semi-automatic Good wine Medium and high grade Simple and easy 5×10-4
Buffer support Artificial operation Good wine Simple and easy Difficulty in 7×10-4
Front landing gear wheel Artificial operation Superior food Medium and high grade In general 4×10-4
Turning control valve Semi-automatic Difference (D) Complexity of Simple and easy 2×10-4
Main frame side stay bar that plays Semi-automatic Good wine Simple and easy Difficulty in 3×10-4
Pressure sensor Automatic Difference (D) Complexity of Simple and easy 4×10-4
Oil return one-way valve Artificial operation Good wine Medium and high grade Simple and easy 8×10-4
Emergency brake handle for shutdown Artificial operation Good wine Medium and high grade Simple and easy 9×10-4
Airplane wheel speed sensor Automatic Difference (D) Complexity of Simple and easy 6×10-4
Pedal brake sensor Automatic Difference (D) Medium and high grade Simple and easy 2×10-4
The average repair time distribution results for each cell calculated according to the method of step four of the present invention are shown in table 13.
TABLE 13 mean repair time distribution results for each cell
Figure BDA0002765500670000091

Claims (1)

1. A product average repair time distribution method based on a region model is characterized by comprising the following steps:
the method comprises the following steps: performing region division based on the product 3-D model to construct a region model;
according to the basic principle that the maintenance cover is not overlapped in a crossing mode and not cut, the rules for dividing the product area model are determined, a rule set is formed and used as the basis for building the area model, the rule set can be marked as { rule 1, rule 2, … and rule n }, wherein rule t represents the t-th rule which is required to be met when the area model is built. The rule set is constructed to satisfy the following conditions:
(1) sorting according to the importance degree of the rule, namely, the importance degree of rule 1 is the highest, and the importance degree of rule n is the lowest;
(2) when the product can not meet all the division rules, the rules with the lowest importance degree can be deleted according to the order of the importance degree of the rules;
(3) different products can be divided into regions according to the rule set;
(4) conflict contradiction between all the rules is avoided;
step two: constructing an average repair time influence factor set and a factor evaluation set of the region model;
according to the structural characteristics of the region model, a factor set influencing the maintainability of the region is constructed and used as a basis for measuring the average repair time of the region, and the factor set can be recorded as { e }1,e2,…,emIn which ejRepresenting the jth maintenance influence factor;
according to the influence factor of the average repair time in the region modelThe degrees of the influence factors are different, a factor evaluation set is constructed and used as a basis for judging the levels of the influence factors, and the factor evaluation set can be marked as { ek1,ek2,…,ek10In which eklThe ith grade of the kth influencing factor is represented, each grade corresponds to different evaluation scores, and the factor evaluation set and the evaluation scores meet the following conditions:
(1) the evaluation score should be expected to be small, i.e., the better the maintainability, the smaller the number;
(2) evaluation set { ek1,ek2,…,ek10The corresponding evaluation score is {1,2, …,10 };
(3) when the influence factors are evaluated, a subset can be selected from the evaluation set for evaluation;
the evaluation set and the evaluation score correspondence are shown in table 1:
table 1 evaluation set and evaluation score results schematic
Rank of Score of Description of the invention ek1 1 Description corresponds to ek1Influence factor connotation of ek2 2 Description corresponds to ek2Influence factor connotation of ek10 10 Description corresponds to ek10Influence factor connotation of
Step three: distributing the average repair time of the area;
and evaluating the region according to the region model influence factor set and the evaluation set, calculating the region weight, and distributing the average repair time. This step comprises 3 sub-steps:
step 1: grading the region based on the influence factor set and the evaluation set in the second step;
step 2: and calculating a regional comprehensive weighting coefficient based on the scoring result, wherein the calculation formula is as follows:
Figure FDA0002765500660000021
Figure FDA0002765500660000022
Figure FDA0002765500660000023
Figure FDA0002765500660000024
wherein, [ e ]kl]Class i level e representing the kth influencing factorklCorresponding score, EwA maintenance weighting factor representing the area w, N the total number of areas,
Figure FDA0002765500660000025
representing the mean value of the maintenance weighting factors, delta, of the respective zoneswThe failure rate of the region w is indicated,
Figure FDA0002765500660000026
representing the mean value of the failure rates of the respective zones, alphawRepresenting a repair time comprehensive weighting coefficient of the area w;
and step 3: according to the result of the weighting coefficient and the given average repair time requirement, the distribution of the area average repair time is carried out, and the distribution formula is as follows:
Figure FDA0002765500660000027
wherein the content of the first and second substances,
Figure FDA0002765500660000028
the average repair time of the whole system is shown,
Figure FDA0002765500660000029
represents the average repair time of the region w;
step four: distributing the average repair time of the devices in the region;
and taking the average repair time of the area obtained in the step three as constraint, analyzing and evaluating the condition of the equipment in the area according to the constructed area model, and distributing the average repair time. This step comprises 5 sub-steps:
step 1: analyzing the equipment in the area, and constructing a factor set influencing the maintainability of the equipment;
step 2: according to different degrees of influencing equipment maintainability, a factor evaluation set is constructed and used as a basis for judging the grades of the influencing factors, each evaluation grade corresponds to different scores, and the score is smaller as the maintainability is better;
and step 3: grading the equipment based on the influencing factor set and the evaluation set;
and 4, step 4: calculating a comprehensive weighting coefficient, wherein the value of the coefficient is related to the evaluation score and the average value of the evaluation score;
and 5: based on the results of the weighting coefficients and on given serviceability requirements, an average repair time is assigned to each cell.
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