CN106017924B - Ball screw assembly, reliability accelerated test appraisal procedure - Google Patents
Ball screw assembly, reliability accelerated test appraisal procedure Download PDFInfo
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- CN106017924B CN106017924B CN201610631809.3A CN201610631809A CN106017924B CN 106017924 B CN106017924 B CN 106017924B CN 201610631809 A CN201610631809 A CN 201610631809A CN 106017924 B CN106017924 B CN 106017924B
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- ball screw
- screw assembly
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M13/00—Testing of machine parts
- G01M13/02—Gearings; Transmission mechanisms
Abstract
The invention discloses a kind of ball screw assembly, reliability accelerated test appraisal procedures, include the following steps：Barrier classification is carried out to the failure in reliability accelerated test first, number of faults is calculated using determining weighting coefficient；Then the stress accelerated factor of accelerated test is calculated using the load-up condition of reliability accelerated test；The mean time between failures revolution of single stress or double stress levels is calculated followed by accelerated factor；Finally the reliability of ball screw assembly, is evaluated using the average time between failures under all samples.The ball screw assembly, reliability accelerated test appraisal procedure based on accelerated aging time model of the present invention, can effectively solve the ball screw assembly, integrity problem of current faulty or fault-free etc., and then improve the accuracy of reliability test result.
Description
Technical field
The invention belongs to Reliability Design Test field, particularly a kind of ball screw assembly, reliability accelerates examination assessment proved recipe
Method.
Background technology
Ball screw assembly, is the core functional components of numerically-controlled machine tool, and the reliability of ball screw assembly, will directly affect entire number
The reliability of control system.The reliability index average time between failures (MTBF) of high-grade, digitally controlled machine tools has reached thousands of hours, presses
Ball screw assembly, is tested according to traditional experimental technique, several months or even several years are just needed when putting into a tests exemplar
Time could complete to test, and when putting into more tests exemplars, high exemplar expense is equally difficult to bear.Therefore, it is traditional
Reliability test method cannot meet the requirement of ball screw assembly, using increasing stress, shorten the reliable of test period
Property accelerating experiment technology become reliability test verification technique development inexorable trend.
It is found through consulting related data, the domestic research about ball screw assembly, reliability accelerated test appraisal procedure at present
In space state, it is embodied in：Lack effective ball screw assembly, reliability test method, ball screw assembly, failure modes
During with weighting unintelligible, the effective calculating ball screw assembly, mean time between failures revolution (MRBF) of shortage and mean time between failures
Between (MTBF) method etc..
Invention content
Technical problem solved by the invention is to provide a kind of ball screw assembly, reliability accelerated test appraisal procedure, into
And improve the accuracy of reliability test result.
Realize the object of the invention technical solution be：A kind of ball screw assembly, reliability accelerated test appraisal procedure,
Include the following steps：
Step 1 classifies to the failure in reliability accelerated test, and number of faults is calculated using weighting coefficient；
Step 2, the stress accelerated factor that accelerated test is calculated using the load-up condition of reliability accelerated test；
Step 3, the mean time between failures revolution that single stress or double stress levels are calculated using accelerated factor；
Step 4 determines average time between failures under all samples, completes the reliability evaluation to ball screw assembly,.
Compared with prior art, the present invention its remarkable advantage is：1) present invention provides a kind of ball screw assembly, reliability and adds
Fast test assessment method can effectively solve the ball screw assembly, acceleration reliability test result of current faulty or fault-free etc.
Evaluation problem, and then improve the accuracy of reliability test result；2) present invention has carried out in detail the failure of ball screw assembly,
Classify and corresponding weighting coefficient has been worked out according to fault category, ensure that the accuracy of evaluation result；3) present invention is for list
Ball screw assembly, reliability evaluation under stress or double stress levels uses；4) present invention using mean time between failures revolution with
And the reliability of two kinds of metrics evaluation ball screw assembly,s of average time between failures, it is simple and practicable, it is scientific and reasonable.
Description of the drawings
Fig. 1 is the ball screw assembly, reliability accelerated test appraisal procedure flow chart of the present invention.
Specific embodiment
With reference to Fig. 1, a kind of ball screw assembly, reliability accelerated test appraisal procedure of the invention includes the following steps：
Step 1 classifies to the failure in reliability accelerated test, and number of faults is calculated using weighting coefficient；Specifically
Failure modes and weighting are carried out to ball screw assembly, according to the content of table 1 to table 3.For the failure found in experiment, according to event
Hinder phenomenon, analyze fault mode, carry out failure modes, number of faults is included according to the weighting coefficient of regulation.It is not counted in failure：For
Misuse failure, maloperation failure, must not be included in normal fault data.The unlisted non-ball-screw byproduct of upper table is drawn
The relevant fault of hair should not be included in fault data, such as：Shaft coupling failure, bearing fault, support unit failure.For subordinate event
Barrier does not compute repeatedly.Cycle fault：A failure, quilt in testing every time are recorded as before troubleshooting for cycle fault
Test sample this fault condition record, records test run situation.Broken down maintenanceability is judged, if belonging to can repair
Failure is answered, continues to test after on-call maintenance, record maintenance time, delay time at stop, repair time is not counted in test period.If belong to
Can not maintenance failure, stop the experiment of the tested sample, the record experiment intermission.
Classify to the failure in reliability accelerated test, specifically as shown in table 1, table 2：
1 ball screw assembly, failure modes table of table
2 coding rule of table
The weighting coefficient is as shown in table 3：
3 ball screw assembly, failure weight table of table
It is using formula used in determining weighting coefficient calculating number of faults：
rj=(2Pj×Ij+1)It rounds up
In formula, rjBefore arriving defined experiment cut-off, the failure sum for j-th of failure mode that all samples add up；PjFor
To before defined experiment cut-off, the frequency of j-th of failure mode that all samples add up failure；IjFor j-th of failure mould
The weighting coefficient of formula.
Step 2 calculates formula used in the stress accelerated factor of accelerated test using the load-up condition of reliability accelerated test
For：
In formula, LkFor the time lifetime of ball screw assembly, the revolution of unit h, n for ball screw assembly, unit r/
min,CaFor the axial load that the dynamic load rating of ball screw assembly, unit N, F are born for ball screw assembly, unit N, Fw
For loading coefficient, value range is 1.0~2.0, Fa1And Lk1For the axial load under the conditions of stress accelerated life test and
Life time, Fa2And Lk2For the axial load and life time under actual condition, G is accelerated factor.
Step 3, using accelerated factor calculate the mean time between failures revolution of single stress or double stress levels used in formula be：
In formula, MRBFjMean number of moving part for j-th of failure mode；M is sample number；N*To arrive defined examination
Test the correlation test revolution that all samples add up before ending；NiTotal revolution at the end of for i-th of sampling test；rjTo arrive regulation
Experiment cut-off before, all failure modes failure sum r of j-th of part that all samples add up(j,i)For i-th of sampling test knot
All failure mode failure numbers of j-th of part during beam；The x for being v for degree of freedom2The p quantile theoretical values of distribution, can table look-up
；N′iFor total revolution of i-th of sample in the first stress level off-test, r；N″iIt is i-th of sample in the second stress water
Total revolution during flat off-test, r；r′(j,i)It is i-th of sample in the first stress level test period, j-th of failure mode
Failure number；r″(j,i)It is i-th of sample in the second stress level test period, j-th of failure mode failure number.
Step 4 carries out evaluation institute using the average time between failures under all samples to the reliability of ball screw assembly,
It is with formula：
MTBF=M × MRBF (h)
In formula, MRBF is the average time between failures under all samples；M is equivalent conversion coefficient (h/r)；MTBF is rolling
The average time between failures of ballscrew pair.
The present invention provides a kind of ball screw assembly, reliability accelerated test appraisal procedure, can effectively solve it is current faulty or
The evaluation problem of the ball screw assembly, acceleration reliability test result of fault-free etc., and then improve the accurate of reliability test result
Property.
It is described in more detail with reference to embodiment：
Embodiment
Ball screw assembly, reliability accelerated test appraisal procedure includes the following contents：
Determine the failure modes of ball screw assembly, reliability test and end condition：
Censoring reliability test method, loading force are respectively 5%Ca and 10%Ca, and setting experiment cut-off revolution is
1200000 turns, rotating speed is 500rpm.Fault data：There is revolution (revolution/failure number) in three sample failures：1030000 turns/
F5；1420000 turns/B5；1580000 turns/F5；2360000 turns/F5.All samples are generation unrepairable when completing regulation revolution
Failure, in total 3 samples, i.e. m=3.All samples failure is carried out to summarize to obtain the following table 4：
4 reliability accelerated test fault statistics table of table
1st, stress accelerated factor calculates：
In certain range of stress, failure mechanism will not change ball screw assembly,.Due to testing using constant
Stress accelerated test, the result of the test that therefore, it is necessary to be converted to the data of experiment under normal condition, to carry out data into one
The analysis and assessment of step.According to the calculated relationship between service life and load, accelerated aging and normal stress level can be carried out
Between conversion.Under the conditions of different stress loadings, the dynamic load rating of same root lead screw pair is identical, because in accelerated aging and normally
The speed that ball screw assembly, operates under stress condition is identical, so that it may which it is identical to think loading coefficient.
Two kinds of load of 5%Ca and 10%Ca that this experiment uses are in load as defined in ball screw assembly, fatigue life formula
In the range of lotus, therefore the accelerated test factor in accelerated stress stage is：
2nd, mean time between failures revolution (MRBF) calculates under each failure：
Fixed failure number test or fixed time test mean time between failures revolution.Use the section of unilateral confidence interval lower bound
Method of estimation.The present invention recommends using 90% confidence interval.The probability for having 90% is included according to the confidence level recommended here
The true value of characteristic quantity.
First kind failure occurs over just the accelerated stress stage, therefore the calculating of mean time between failures revolution is as follows：
Second class failure does not occur under two kinds of stress levels, and third class failure is horizontal in normal stress and accelerated stress
Under occur, therefore mean time between failures revolution calculate it is as follows：
3rd, average time between failures calculates (MTBF)：
After all sample standard deviations complete reliability accelerated test, final mean time between failures revolution is：
Equivalent conversion coefficient M takes 4 × 10-4(h/r), then：
MTBF=4 × 10-4×4.4363×106=1744.5h
Therefore, the ball screw assembly, average time between failures that this reliability accelerated test obtains is 1744.5h.
From the foregoing, it will be observed that the present invention provides a kind of ball screw assembly, reliability accelerated test appraisal procedure, can effectively solve to work as
The evaluation problem of the ball screw assembly, acceleration reliability test result of preceding faulty or fault-free etc., and then improve reliability test
As a result accuracy.
Claims (5)
1. a kind of ball screw assembly, reliability accelerated test appraisal procedure, which is characterized in that include the following steps：
Step 1 classifies to the failure in reliability accelerated test, and number of faults is calculated using weighting coefficient；
Step 2, the stress accelerated factor that accelerated test is calculated using the load-up condition of reliability accelerated test；
Step 3, the mean time between failures revolution that single stress or double stress levels are calculated using accelerated factor；
Step 4 determines average time between failures under all samples, completes the reliability evaluation to ball screw assembly,.
2. ball screw assembly, reliability accelerated test appraisal procedure according to claim 1, which is characterized in that in step 1
Classify to the failure in reliability accelerated test, specifically as shown in table 1, table 2：
1 ball screw assembly, failure modes table of table
2 coding rule of table
The weighting coefficient is as shown in table 3：
3 ball screw assembly, failure weight table of table
It is using formula used in determining weighting coefficient calculating number of faults：
rj=(2Pj×Ij+1)It rounds up
In formula, rjBefore arriving defined experiment cut-off, the failure sum for j-th of failure mode that all samples add up；PjTo arrive rule
Before fixed experiment cut-off, the frequency of j-th of failure mode failure that all samples add up；IjFor j-th failure mode
Weighting coefficient.
3. ball screw assembly, reliability accelerated test appraisal procedure according to claim 1, which is characterized in that in step 2
It is using formula used in the stress accelerated factor of the load-up condition calculating accelerated test of reliability accelerated test：
In formula, LkFor the time lifetime of ball screw assembly, the revolution of unit h, n for ball screw assembly, unit r/min, CaFor
The dynamic load rating of ball screw assembly, the axial load that unit N, Fa are born for ball screw assembly, unit N, FwFor load
Coefficient, value range are 1.0~2.0, Fa1And Lk1During for the axial load under the conditions of stress accelerated life test and service life
Between, Fa2And Lk2For the axial load and life time under actual condition, G is accelerated factor.
4. ball screw assembly, reliability accelerated test appraisal procedure according to claim 1, which is characterized in that in step 3
It is using formula used in the mean time between failures revolution of accelerated factor calculating single stress or double stress levels：
In formula, MRBFjMean number of moving part for j-th of failure mode；M is sample number；N*It is cut to arrive defined experiment
The correlation test revolution that only preceding all samples add up；NiTotal revolution at the end of for i-th of sampling test；rjTo arrive defined examination
Before testing cut-off, the failure sum for j-th of failure mode that all samples add up；r(j,i)J-th at the end of for i-th of sampling test
The failure number of failure mode；The χ for being v for degree of freedom2The p quantile theoretical values of distribution, can table look-up；N′iFor i-th of sample
Originally total revolution in the first stress level off-test, r；N″iFor i-th of sample in the second stress level off-test
Total revolution, r；r′(j,i)It is i-th of sample in the first stress level test period, j-th of failure mode failure number；r″(j,i)
It is i-th of sample in the second stress level test period, j-th of failure mode failure number, G is accelerated factor.
5. ball screw assembly, reliability accelerated test appraisal procedure according to claim 1, which is characterized in that step 4 profit
Formula used in being evaluated with the average time between failures under all samples the reliability of ball screw assembly, is：
MTBF=M × MRBF
In formula, MRBF is the mean time between failures revolution under all samples；MRBFjMean work for j-th of failure mode
Make revolution；M be equivalent conversion coefficient, unit h/r；Average time between failures of the MTBF for ball screw assembly, unit h.
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| CN108760273A (en) * | 2018-06-22 | 2018-11-06 | 南京理工大学 | A kind of linear rolling guide damper reliability test and evaluation method |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN108763755A (en) * | 2018-05-26 | 2018-11-06 | 南京理工大学 | A kind of linear rolling guide reliability accelerated test appraisal procedure |
| JP7097268B2 (en) * | 2018-09-07 | 2022-07-07 | 株式会社ジャノメ | Press equipment, terminal equipment, ball screw estimated life calculation method and program |
| CN111855171B (en) * | 2020-07-02 | 2022-06-28 | 南京理工大学 | Accelerated life reliability evaluation method for rolling linear guide rail MFBF |
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