CN104991515B - Digit Control Machine Tool Life cycle importance measure analysis method - Google Patents
Digit Control Machine Tool Life cycle importance measure analysis method Download PDFInfo
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- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B19/00—Programme-control systems
- G05B19/02—Programme-control systems electric
- G05B19/18—Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form
- G05B19/402—Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form characterised by control arrangements for positioning, e.g. centring a tool relative to a hole in the workpiece, additional detection means to correct position
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Abstract
The present invention relates to a kind of Digit Control Machine Tool Life cycle importance measure analysis method.System subdivision is carried out first, and subsystem reliability modeling is carried out by least square method；Because the data for gathering cover early fault period and random failure period, therefore whole machine model is set up using segmentation Weibull, the stage of piecewise function first and second describes early fault period, random failure period respectively, and subsystem reliability dynamic importance measure model is set up according to whole machine model；The statistical analysis two benches number of stoppages and failure stopping time, analyzing subsystem failure is critical and runs critical importance measure.Finally contrast illustrates the one-sidedness that key subsystem is individually determined using the number of stoppages, and labor early fault period and the change of random failure period subsystem importance measure, viewpoint based on time change determines different times key subsystem, is targetedly taken corrective action for project planner and formulate maintenance policy and provide foundation to improve Cnc ReliabilityintelligeNetwork Network and maintenance personal.
Description
Technical field
The invention belongs to CNC Equipment Reliability Analysis field, it is related to a kind of Digit Control Machine Tool importance measure analysis method,
Specifically related to Digit Control Machine Tool Life cycle importance measure analysis method.
Background technology
Digit Control Machine Tool is made up of multiple subsystems, and the influence of different subsystem to systematic function is also not quite similar.Can
By in property field, importance measure is used to assess the relative importance of single part or part, it is generally recognized that parts it is relative
Sequence is more important compared with absolute value.
One element has its position and reliability in a system, and for this problem, Birnbaum was carried in 1969
The concept of " importance measure " is gone out.By this index can determine which subsystem be cause the system failure it is crucial because
Element, determines the improved target of system reliability.Knowledge according to required for importance measure, Birnbaum is classified as three classes：
Structural consequences are estimated, reliability importance measure and life-span importance measure.Reliability importance measure can be divided into again
Birnbaum subsystems importance measure (Birnbaum Component Importance), reliability critical importance degree
(Reliability Criticality Importance) and run critical importance degree (Operational Criticality
Importance).It is, in general, that reliability importance measure is all subsystems events in the function of system operation time, system
Barrier and maintenance time function, and system architecture function.If influence journey of certain subsystem to whole system reliability
Degree is bigger, then its importance degree in the entire system is higher.
Looking back the determination method in the past for Digit Control Machine Tool key subsystem mainly has FMECA（Failure Mode,
Effects and Criticality Analysis）, subsystem complexity, influence factor etc..Above several method master
To be foundation to analyze each subsystem fault frequency.But the importance degree of subsystem can not occur merely according to failure
The frequency calculate, even if such as some subsystems frequently break down, but its annoyance level to whole system it is micro- its
It is micro-, it is easy to repair；Although conversely, other subsystem seldom breaks down, but it is once occur will be to whole system
Fatal influence is brought, causes maintenance cycle long, have a strong impact on the operation of production.
The reliability of Digit Control Machine Tool is changed over time simultaneously, then the importance of each subsystem can also change with the time
Become.Therefore the influence of consideration subsystem reliability importance simultaneously is needed.Digit Control Machine Tool uses meeting experienced three stages from dispatching from the factory：
Early fault period, random failure period and consume phase.Random failure period is the optimal state that equipment is used, and consume phase equipment tends to naughty
Eliminate, and early fault period is the stage that arrival random failure period is subjected to.Therefore, it is true herein by segmentation Weibull model
Determine the early fault period of lathe and the separation of random failure period, key subsystem of the Exploring Analysis in the different operation phase.It is logical
Cross the comprehensive analysis number of stoppages, failure simultaneously and reliability determine Digit Control Machine Tool key subsystem, accurate quantification its to numerical control machine
The otherness of bed reliability influence contribution, weighs its and improves potentiality, is that structure of numerically controlled machine-tool reliability design, reliability of technology set
The exploitation of meter, Reliability Distribution and reliability growth technology provides basic data and theoretical foundation.
The content of the invention
The static problem that Digit Control Machine Tool important subsystem considers merely the number of stoppages is found instant invention overcomes tradition, is passed through
Cnc ReliabilityintelligeNetwork Network importance measure dynamic model is introduced, the important journey of subsystem relative system not in the same time can be analyzed
Degree problem.There is provided a kind of Digit Control Machine Tool Life cycle importance measure analysis method.
Conventional research object is mainly not repairable system, herein then for this typical repairable system of Digit Control Machine Tool,
System subdivision is carried out first against fault data and structure of numerically controlled machine-tool；Secondly number is built according to the fault data of Digit Control Machine Tool
Reliability Model and each subsystem Reliability Model of the control lathe in Life cycle, and set up on the basis of this model
Each subsystem reliability importance measure dynamic model；Then, the number of stoppages and downtime based on Digit Control Machine Tool is built
The static models of vertical repairable system reliability importance measure --- the critical importance measure of subsystem failure and subsystem run
Critical importance measure；Finally, critical importance measure and can be run according to the critical importance measure of subsystem failure, subsystem
It is that Digit Control Machine Tool can by property importance measure comprehensive analysis Digit Control Machine Tool in early fault period and the key subsystem of random failure
By property design, reliability improvement, formulate maintenance policy offer foundation.
Brief description of the drawings
Fig. 1 subsystem reliabilities dynamic importance measure curve map.
The quiet dynamic reliability importance measure sequence analogy figure of Fig. 2 early fault periods.
Fig. 3 random failure periods quiet dynamic reliability importance measure sequence analogy figure.
Specific embodiment
The present invention is described in detail below in conjunction with the accompanying drawings, Digit Control Machine Tool Life cycle importance measure analysis method
Generally include following steps.
Step 1：System subdivision is carried out to Digit Control Machine Tool.Carried out by analyzing certain model numerically controlled lathe 26S Proteasome Structure and Function
Subsystem analysis, is specifically divided into hydraulic system（D）, crossbeam（B）, servo-drive system（F）, lubricating system（L）, knife rest（M）, CNC systems
System（NC）, main transmission（S）, workbench（T）And electrical system（V）Deng 9 subsystems.
Step 2：Because this batch of fault data dispatches from the factory payment user using i.e. start recording in collection from lathe, gathered
Data include failure early fault period and the data of random failure period, so using two benches prestige to obtaining fault moment data
Boolean's distribution description is more reasonable.The first stage of distribution function can be understood as the distributed mode of Digit Control Machine Tool early fault period
Type, second stage can be understood as the distributed model of Digit Control Machine Tool random failure period.It is segmented the reliability function of Weibull models
For：
By the model primary election to fault data, data are fitted and hypothesis testing, obtain the event of the model numerically controlled lathe
Hinder data two benches Weibull distribution model be：
Be the early fault period of this lathe in 0-706 hours it can be seen from analysis above, started at 706 hours for
Random failure period.Numerically controlled lathe subsystem Reliability Function is set up using least square method simultaneously as shown in table 1.
The subsystem Reliability Function summary sheet of table 1.
Step 3：Consider that early fault period and each subsystem of random failure period lathe, to the importance measure of whole machine, are built respectively
Vertical numerically controlled lathe subsystem reliability importance measure dynamic model.Numerically controlled lathe subsystem importance measure is one with the time
The amount of change, this matches with system running state, development over time, and relatively unessential subsystem might originally
Become important subsystem.For a subsystemiTo systemφNormal reliability importance measure is expressed as：
Then have for an interconnected system being made up of independent component：
It can be seen from above formula,I Bs （I, p）By subsystemiReliability weighs son for the rate of rise of system reliability
SystemiTo the significance level of system reliability.I.e.：
In formula：I Bs （I, p）--- the reliability importance measure of subsystem；
Rsys--- system dependability function；
Ri--- subsystem Reliability Function.
Due to reliability importance measure represent be system dependability sub-system reliability rate of change, the thing of above formula
Managing meaning is：For the reliability importance measure of any two subsystem in systemI Bs （I, p）WithI Bs （J, p）If,I Bs （I, p）>I Bs （J, p）, then explanation improve subsystem reliability level it is bigger to contribution that system reliability level is improved so that
Connect and show subsystemiThanjIt is more important.I.e.I Bs （I, p）Bigger, the change of components reliability causes the change of system dependability to be got over
Greatly.Therefore, improve the larger subsystem of reliability importance measure and improve its reliability, can make the reliability of system has larger
Improvement.
With hydraulic system（D）As a example by, according to above formula and hydraulic system（D）Reliability Function and whole machine reliability letter
Number can obtain hydraulic system（D）It is in the reliability importance measure dynamic model of early fault period and random failure period：
Each subsystem is calculated in early fault period and random failure period dynamic importance by same mode respectively
Measure model.Each subsystem is drawn to the reliability importance measure curve of whole machine as shown in Figure 1 using matlab.
Step 4：It is faulty to numerically controlled lathe institute to be analyzed, determine failure happening part, count Digit Control Machine Tool subsystem
With machine failure frequency and the downtime of each failure, and then set up the critical importance of Digit Control Machine Tool subsystem failure and survey
Degree and subsystem run critical importance measure, and its expression formula is as follows：
By the whole aircraft reliability modeling in step 1 it can be found that being early fault period in 0-706 hours, more than 706
Hour Digit Control Machine Tool operation reaches random failure period, it is therefore desirable to the critical importance measure of sub-system failure and subsystem operation
Critical importance measure is analyzed in early fault period and random failure period respectively.Each subsystem of numerically controlled lathe is in initial failure
The number of stoppages and failure stopping time of phase and random failure period are as shown in table 2.
The subsystem fault number of times of table 2 and failure stopping time summary sheet.
By the number of stoppages in table 2 and downtime bring into the critical importance measure of Digit Control Machine Tool subsystem failure and
Subsystem runs critical importance measure formula, and the failure for obtaining subsystems in early fault period and random failure period is critical
It is as shown in table 3 that importance measure and subsystem run critical importance measure.
The critical importance measure of the subsystem failure of table 3 and subsystem run critical importance measure.
Step 5：Three of the above importance measure is analyzed, illustrates simple from the critical importance of subsystem failure
The one-sidedness of Measures Analysis.By Conjoint Analysis, the influence using each subsystem of dynamic viewpoint analysis to whole aircraft reliability.
From accompanying drawing 1, each subsystem is not different to the reliability importance measure value of whole machine in the same time.And each son
The importance measure sequence of system there is also difference in certain time period.According to the calculating process of step 4, this can be respectively drawn
9 subsystems and are normalized and obtain each subsystem importance in the dynamic reliability importance measure value of 600h and 5000h
Estimate the ranking results in early fault period and random failure period as shown in table 4 and table 5.
The early fault period subsystem importance measure sequencing table of table 4.
Table 5 random failure period subsystem importance measure sequencing table.
Each subsystem can obtain in early fault period and the sequence analogy of random failure period importance measure according to table 4 and table 5
Figure, is shown in accompanying drawing 2, Fig. 3.
Be can be seen that in early fault period from table 4 and Fig. 2, hydraulic system（D）Three reliability importance measures refer to
Mark position of ranking the first；Servo-drive system（F）And lubricating system（L）Although reliability dynamic importance measure is more rearward, its son
The critical importance measure of thrashing and subsystem run critical importance measure ranking and are second and the 3rd, to whole machine can
Influence also non-negligible by property；Electrical system（V）Though neither one importance measure index ranking substantially ranks forefront, consider
Three indexs, it is believed that its reliability effect to whole machine is also larger.The critical importance measure of knife rest failure and subsystem fortune
The critical importance measure of row ranks behind, but its reliability dynamic importance measure ranking is second, the analytic explanation event of the above
Barrier number of times number can not completely explain influence degree of the subsystem fault to whole machine.Therefore in early fault period hydraulic system
（D）, electrical system（V）, servo-drive system（F）And lubricating system（L）It is the key subsystem of whole machine.
Be can be seen that in random failure period according to table 5 and Fig. 3, three maximum to whole aircraft reliability importance measure
Key subsystem is hydraulic system（D）, servo-drive system（F）And knife rest（M）.Relative to each importance measure of early fault period
For index, hydraulic system（D）Subsystem run the ranking reduction of critical importance measure compared with early fault period；And servo system
System（F）And workbench（T）Three importance measure indexs then have obvious ascendant trend, illustrate over time, respectively
Subsystem necessarily changes to the importance measure of whole machine.
Analysis is obtained to draw a conclusion more than.
（1）No matter in early fault period or random failure period, hydraulic system（D）All it is key subsystem, improves this
The reliability of serial numerically controlled lathe, first has to carry out reliability design improvement from hydraulic system.
（2）Each son of lathe can not be determined according to the sequence that the number of stoppages is the critical importance measure of subsystem failure completely
Influence of the system to whole aircraft reliability.
（3）By three sequences of different importance measure indexs of subsystem, each subsystem has been considered to whole machine
Significance level, the especially introducing of dynamic effects degree, realize in real time dynamic management.Can be arranged according to the disturbance degree of each subsystem
Sequence changes, and formulates corresponding maintenance project.
（4）There is obvious difference, dynamic shadow in the influence of early fault period and random failure period each subsystem to whole machine
The change of loudness is particularly evident.To improve the reliability of whole machine, it should which the ranking according to different times subsystem disturbance degree is formulated
Measure is correspondingly improved, the reliability that lathe is effectively improved for system provides foundation.
Claims (1)
1. a kind of Digit Control Machine Tool Life cycle importance measure analysis method, it is characterised in that comprise the steps：
Step 1：System subdivision is carried out to it according to structure of numerically controlled machine-tool and functional characteristic；
Step 2：In collection it is to use i.e. start recording, the packet for being gathered from lathe payment user of dispatching from the factory due to fault data
The data of failure early fault period and random failure period are included, so using two benches Weibull distribution to obtaining fault moment data
Description is more reasonable；The first stage of distribution function is interpreted as the distributed model of Digit Control Machine Tool early fault period, second stage reason
It is the distributed model of Digit Control Machine Tool random failure period to solve, and the reliability function for being segmented Weibull model is：
By the model primary election to fault data, data are fitted and hypothesis testing, are digitally controlled the two of the fault data of lathe
Stage Weibull distribution model, while determining coefficientWith early fault period and the separation of random failure period；According to above
Knowable to analysis,It is the early fault period of lathe in hour,Hour starts to be random failure period；And by minimum
Square law sets up Digit Control Machine Tool subsystem Reliability Function：
Step 3：Consider that early fault period and each subsystem of random failure period lathe, to the significance level of whole machine, set up numerical control respectively
Lathe subsystem reliability importance measure dynamic model, Digit Control Machine Tool subsystem importance measure is one and changes over time
Amount, this matches with system running state, development over time, and relatively unessential subsystem was likely to become weight originally
The subsystem wanted, for a subsystemTo systemNormal reliability importance measure is expressed as：
Then have for the interconnected system that an independent component is constituted：
It can be seen from above formula,By subsystemiReliability weigh subsystem for the rate of rise of system reliability
SystemiTo the importance measure of system reliability, i.e.,：
In formula：--- subsystemReliability importance measure
--- system dependability function
--- subsystem Reliability Function；
Due to reliability importance measure represent be system dependability sub-system reliability rate of change, above formula physics meaning
Justice is：For the reliability importance measure of any two subsystem in systemWithIf,, then illustrate to improve subsystemReliability level it is bigger to contribution that system reliability level is improved, from
And show subsystem indirectlyThanIt is more important, i.e.,It is bigger, partThe change of reliability causes the change of system dependability
Change bigger；Therefore, improve the larger subsystem of reliability importance measure and improve its reliability, can make the reliability of system has
Larger improvement；Reliability importance measure curve of each subsystem to whole machine is drawn by matlab；
Step 4：It is faulty to Digit Control Machine Tool institute to be analyzed, determine each failure happening part, statistics Digit Control Machine Tool subsystem and
The downtime of machine failure frequency and each failure, and then set up the critical importance measure of Digit Control Machine Tool subsystem failure
Critical importance measure is run with subsystem, its expression formula is as follows：
Modeled by the whole aircraft reliability in step 1 and found,It is early fault period in hour, exceedesHour numerical control
Lathe operation reaches random failure period, it is therefore desirable to which the critical importance measure of sub-system failure and subsystem operation are critical important
Property is estimated and is analyzed in early fault period and random failure period respectively；
Step 5：Critical importance measure and reliability importance are run according to the critical importance measure of subsystem failure, subsystem
Comprehensive analysis Digit Control Machine Tool is estimated in early fault period and the key subsystem of random failure, design for Cnc ReliabilityintelligeNetwork Network,
Reliability improvement, formulation maintenance policy provide foundation.
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| CN105700474A (en) * | 2016-01-18 | 2016-06-22 | 长春工业大学 | Copula function reliability dynamic influence degree analysis method |
| CN107967545B (en) * | 2016-10-19 | 2022-05-17 | 中国辐射防护研究院 | Method for calculating Birnbaum importance and structure importance of subsystem component in probability safety evaluation |
| CN106779371A (en) * | 2016-12-05 | 2017-05-31 | 国网江西省电力公司经济技术研究院 | A kind of Evaluation Method of Distribution Systems Reliability based on equipment life cycle management |
| CN109359742B (en) * | 2018-06-27 | 2022-06-14 | 广州地铁集团有限公司 | Method for generating preventive maintenance period of subway subsystem |
| CN113919204B (en) * | 2021-10-29 | 2024-04-30 | 长春工业大学 | Comprehensive importance analysis method for availability of multi-state manufacturing system |
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