CN110082238A - A kind of ball screw assembly, resultant wear coefficient measuring method - Google Patents

A kind of ball screw assembly, resultant wear coefficient measuring method Download PDF

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CN110082238A
CN110082238A CN201910356893.6A CN201910356893A CN110082238A CN 110082238 A CN110082238 A CN 110082238A CN 201910356893 A CN201910356893 A CN 201910356893A CN 110082238 A CN110082238 A CN 110082238A
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ball screw
screw assembly
ball
measured
raceway
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CN110082238B (en
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周长光
周华西
刘迪一
陈斌斌
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Nanjing University of Science and Technology
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Nanjing University of Science and Technology
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01MTESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M13/00Testing of machine parts
    • G01M13/02Gearings; Transmission mechanisms
    • G01M13/025Test-benches with rotational drive means and loading means; Load or drive simulation
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N3/56Investigating resistance to wear or abrasion
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/02Details not specific for a particular testing method
    • G01N2203/06Indicating or recording means; Sensing means
    • G01N2203/067Parameter measured for estimating the property
    • G01N2203/0676Force, weight, load, energy, speed or acceleration

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Abstract

The invention discloses a kind of ball screw assembly, resultant wear coefficient measuring methods, belong to ball screw assembly, performance measurement field.Resultant wear coefficient refers to the coefficient of waste for comprehensively considering that the abrasion of lead screw raceway and nut rolling way abrasion influence, other performance degradation speed caused by the catagen speed and pretightning force that can directly react pretightning force are degenerated.Method includes the following steps: establishing ball screw assembly, resultant wear coefficient computation model;Set the measuring condition of ball screw assembly, resultant wear coefficient;Ball screw assembly, to be measured is measured based on Ball Screw Pair Friction Moment mensuration, obtains the measured value of ball screw assembly, resultant wear coefficient.The present invention provides the methods of accurate measurement ball screw assembly, resultant wear coefficient, the blank in the field is filled up, and, the abrasion condition of reflection ball screw assembly, that can more accurate high compared to the empirical value precision referred in the past, and then increase substantially the accuracy of life prediction.

Description

A kind of ball screw assembly, resultant wear coefficient measuring method
Technical field
The invention belongs to ball screw assembly, performance measurement field, especially a kind of ball screw assembly, resultant wear coefficient measurement Method.
Background technique
Straight line positioning transmission component of the ball screw assembly, as high-precision, high efficiency, high rigidity and high-mechanic, always in essence The industrial circles such as close lathe, oil drilling and scientific measurement are widely used.Abrasion between ball and raceway can be direct Lead to the degeneration of ball screw assembly, pretightning force, reduce the performances such as rigidity, bearing capacity, dynamic characteristic, between even causing reversely The generation of gap.And the coefficient of waste will directly react the catagen speed of pretightning force, therefore, to the resultant wear system of ball screw assembly, Number carries out theoretical research and test measurement important in inhibiting.
Resultant wear coefficient in ball screw assembly, wear model mainly has with material, lubricating status and surface roughness It closes, is difficult to establish accurate mathematical model, and traditional Archard theory of wear is not suitable for the work feelings of ball screw assembly, Condition, the resultant wear coefficient of ball screw assembly, can only refer to test result value of the Rabinowicz in 1958, material at present With lubrication etc. have relatively big difference with current state.Performance indicator and performance of the resultant wear coefficient for ball screw assembly, The influence of degeneration is most important, and the research of the measurement method of current ball screw assembly, resultant wear coefficient still belongs to blank, needs It fills up.
Summary of the invention
The purpose of the present invention is to provide ball screw assembly, resultant wear coefficient measuring methods, fill up field blank, for rolling The Performance Degradation Model of ballscrew pair provides theory support and verification experimental verification, and then improves ball screw assembly, performance degradation and service life The accuracy of prediction.
The technical solution for realizing the aim of the invention is as follows: a kind of ball screw assembly, resultant wear coefficient measuring method, packet Include following steps:
Step 1 establishes ball screw assembly, resultant wear coefficient computation model;
Step 2, setting ball screw assembly, resultant wear coefficient measuring condition;
Step 3 measures ball screw assembly, to be measured based on Ball Screw Pair Friction Moment mensuration, obtains ball wire The measured value of thick stick pair resultant wear coefficient.
Compared with prior art, the present invention its remarkable advantage are as follows: 1) propose ball screw assembly, resultant wear coefficient measurement side Method has filled up the blank in the field;2) ball screw assembly, resultant wear coefficient and load, speed, structural parameters and material are established Relational model between parameter, it is contemplated that all influence factors improve the accuracy of measurement;3) pass through measurement ball-screw Secondary moment of friction obtains the wearing depth of ball screw assembly, indirectly, final to obtain ball screw assembly, resultant wear coefficient, significantly The difficulty of measurement is reduced, and data accuracy is high;4) method of the invention is simple and easy, can be realized to resultant wear coefficient Rapid survey.
The present invention is described in further detail with reference to the accompanying drawing.
Detailed description of the invention
Fig. 1 is ball screw assembly, resultant wear coefficient measuring method flow chart of the present invention.
Fig. 2 is that the present invention is based on the processes that Ball Screw Pair Friction Moment mensuration measures ball screw assembly, to be measured Flow chart.
Fig. 3 is the resultant wear coefficient value signal measured by taking 4010 ball screw assembly,s as an example in the embodiment of the present invention Figure.
Specific embodiment
In conjunction with Fig. 1, ball screw assembly, resultant wear coefficient measuring method of the present invention, comprising the following steps:
Step 1 establishes ball screw assembly, resultant wear coefficient computation model;
Step 2, setting ball screw assembly, resultant wear coefficient measuring condition;
Step 3 measures ball screw assembly, to be measured based on Ball Screw Pair Friction Moment mensuration, obtains ball wire Thick stick pair resultant wear coefficient.
Further, step 1 establishes ball screw assembly, resultant wear coefficient computation model, specifically:
(1) relationship of ball screw assembly, pretightning force and unloaded torque are as follows:
In formula, FpFor the pretightning force of ball screw assembly, MfFor the unloaded torque of ball screw assembly, α is connecing for ball and raceway Feeler, μ are coefficient of friction, rmFor the radius of lead screw shaft, rbFor the radius of ball;
(2) the normal force Q between ball and raceway are as follows:
In formula, M is the ball sum effectively carried, and λ is lead angle;
(3) relationship of the normal deformation amount δ and normal force Q of ball screw assembly, ball and raceway are as follows:
In formula, cKFor constant related with raceway contact point radius of curvature, cEFor material constant;
(4) the total depth Δ δ of lead screw and nut rolling way abrasion are as follows:
Δ δ=δ0N
In formula, δ0For the initial normal deformation amount of raceway, δNTen thousand turns of N rear raceway normal deformation amounts are run for lead screw;
(5) the wearing depth δ under lead screw raceway unit operation revolutionWsAre as follows:
In formula, LsAnd LnThe respectively effective travel of lead screw and nut, N are total revolution of ball screw assembly, operation;Wherein, It is every ten thousand turns that unit, which runs revolution,;
(6) the wearing depth δ under nut rolling way unit operation revolutionWnAre as follows:
(7) in ball screw assembly, eroded area is considered as a width between ball and lead screw raceway or nut rolling way For the rectangle of 2b, the area A of eroded arean′Are as follows:
An′=2bLRn′
In formula, b is ball and the elliptical semi-minor axis of raceway contact, when n '=s, LRn′Indicate ball screw assembly, in ball with The total length of lead screw raceway eroded area, the i.e. corresponding reach of lead screw effective travel, when n '=n, LRn′Indicate ball-screw The total length of ball and nut rolling way eroded area in pair, the i.e. corresponding reach of nut effective travel;
The corresponding reach L of lead screw effective travelRsAre as follows:
The corresponding reach L of nut effective travelRnAre as follows:
(8) the wear volume W between ball and lead screw raceway contact faceVsAre as follows:
WVsWs·As·N
(9) the wear volume W between ball and nut rolling way contact surfaceVnAre as follows:
WVnWn·An·N
(10) total wear volume W between ball and lead screw raceway and nut rolling way contact surfaceVAre as follows:
WV=WVs+WVn
(11) wear volume between single ball and raceway contact faceAre as follows:
(12) according to traditional Archard theory of wear, under the action of normal force Q, in ball screw assembly, single ball with Wear volume between raceway contact faceAre as follows:
In formula, H is the hardness number on the smaller surface of hardness in two surfaces contacted with each other, and K is the comprehensive mill of ball screw assembly, Damage coefficient, LtSliding distance for single ball relative to raceway;
Wherein, sliding distance L of the ball relative to racewaytAre as follows:
In formula, N is total revolution of ball screw assembly, operation, and ω is the angular speed of lead screw shaft,It is ball relative to raceway Sliding speed;
Wherein, sliding speed of the ball relative to racewayAre as follows:
In formula, VXAnd VYRespectively ball relative to raceway Contact Ellipse semi-minor axis and major semiaxis sliding speed;
Side identical with axial load direction for pretightning force direction:
For the pretightning force direction side contrary with axial load:
Wherein,
In formula, rbFor ball bearing radius, riFor raceway radius, RSFor lead screw bottom diameter, α is the contact angle of ball and raceway, δsWith δnDeflection respectively between ball and lead screw and nut rolling way, ω are the angular speed of lead screw shaft, ωmIt is ball relative to lead screw The revolution angular speed of raceway, ωt, ωnAnd ωbThe respectively spin velocity ω of ballRPoint on t axis, n axis and b axis Amount;
(13) formula in simultaneous (1)~(12) establishes ball screw assembly, resultant wear coefficient computation model are as follows:
In formula,For ball screw assembly, initial idle torque,Unloaded torsion after running ten thousand turns of N for ball screw assembly, Square, J are constant, specifically:
Further, the measuring condition of step 2 ball screw assembly, resultant wear coefficient includes ball lead screw auxiliary ran operation Revolving speed, pretightning force level, performance monitoring, measurement of friction torque condition, lubricating condition and running-in revolution;It is comprehensive to set ball screw assembly, The measuring condition of occlusal wear coefficient specifically:
(1) ball screw assembly, running speed to be measured is set as v1, take v1≤v0, wherein v0For ball screw assembly, rated speed;
(2) ball screw assembly, initial pretightening force to be measured is set as F1, take F1≤ 30%Ca, wherein CaFor ball-screw to be measured Secondary dynamic load rating;
(3) performance of ball screw assembly, to be measured is monitored in runing condensation procedure, it is whether normal to detect ball screw assembly, to be measured Operating stops testing, continues to test after debugging if there is exception;
(4) setting uses fixed time test method, and truncated time is ten thousand turns of N;
(5) ball screw assembly, initial friction torque to be measured is measured before setting running-in, measures primary friction every ten thousand turns of n later Torque, wherein n aliquot N;
(6) setting is ball screw assembly, addition lubricating grease to be measured after measuring moment of friction every time.
It is exemplary preferably, the performance of ball screw assembly, to be measured includes temperature, noise and vibration.
It is exemplary preferably, N >=600, n≤100.
Further, in conjunction with Fig. 2, step 3 be based on Ball Screw Pair Friction Moment mensuration to ball screw assembly, to be measured into Row measurement, obtains ball screw assembly, resultant wear coefficient, specifically:
Step 3-1, the initial friction torque M of ball screw assembly, to be measured is measuredf0
Step 3-2, ball screw assembly, to be measured is mounted on ball screw assembly, abrasion engaging experimental bench, with the measurement of setting Condition running-in runs ten thousand turns of n, while monitoring temperature, noise and the vibration of ball screw assembly, if there is abnormal, shutdown inspection event Barrier, continues to test after debugging;
Step 3-3, measurement of friction torque is carried out to ball screw assembly, to be measured;
Step 3-4, determine the operation revolution of ball-screw vice president, if total operation revolution is less than ten thousand turns of N, return step 3-2;If total operation revolution reaches ten thousand turns of N, running-in terminates, and executes step 3-5;
Step 3-5, it is handled according to all moment of friction data that measurement obtains, obtains the comprehensive of ball screw assembly, to be measured Occlusal wear coefficient.
Further, 3-3 carries out measurement of friction torque to ball screw assembly, to be measured, specifically:
Step 3-3-1, ball screw assembly, to be measured is mounted on measurement of friction torque testing stand, set by measuring condition Revolving speed v1Idle running t minutes, makes ball screw assembly, obtain sufficient lubrication;
Step 3-3-2, c forward and reverse measurement of friction torque is carried out to ball screw assembly, to be measured, the positive friction of the c group measured Torque numerical value is Mp1、Mp2、...、Mpc;The c group reverse friction torque numerical value measured is Mq1、Mq2、...、Mqc
Step 3-3-3, the forward and reverse measurement of friction torque value of the ball screw assembly, measured c times is averaging, then the secondary friction Torgue measurement value are as follows:
Record ball screw assembly, revolution N when i-th Ball Screw Pair Friction Moment to be measured measuresiWith moment of friction value Mfi;i =1,2 ..., m, m be measurement of friction torque number,
Further, step 3-5 is handled according to all moment of friction data that measurement obtains, and obtains ball wire to be measured The resultant wear coefficient of thick stick pair, specifically:
3-5-1, formula is utilizedM group moment of friction numerical value is converted, is obtained corresponding Ti
Ball-screw revolving speed is N when 3-5-2, note i-th measurement of friction torquei, by NiAnd TiIt is denoted as coordinate points (Ni,Ti), M coordinate points are obtained altogether;
3-5-3, formula T is utilizedi=KNiAnd linear fit is carried out to m coordinate points using least square method, it fits Straight slope is the measured value of ball screw assembly, resultant wear coefficient.
Further detailed description is done to the present invention below with reference to embodiment.
Embodiment
Ball screw assembly, resultant wear coefficient measuring method of the present invention, including the following contents:
1, ball screw assembly, resultant wear coefficient computation model is established.
(1) relationship of ball screw assembly, pretightning force and unloaded torque are as follows:
In formula, FpFor the pretightning force of ball screw assembly, MfFor the unloaded torque of ball screw assembly, α is connecing for ball and raceway Feeler, μ are coefficient of friction, rmFor the radius of lead screw shaft, rbFor the radius of ball;
(2) the normal force Q between ball and raceway are as follows:
In formula, M is the ball sum effectively carried, and λ is lead angle;
(3) relationship of the normal deformation amount δ and normal force Q of ball screw assembly, ball and raceway are as follows:
In formula, cKFor constant related with raceway contact point radius of curvature, cEFor material constant;
(4) the total depth Δ δ of lead screw and nut rolling way abrasion are as follows:
Δ δ=δ0N
In formula, δ0For the initial normal deformation amount of raceway, δNTen thousand turns of N rear raceway normal deformation amounts are run for lead screw;
(5) the wearing depth δ under lead screw raceway unit operation revolutionWsAre as follows:
In formula, LsAnd LnThe respectively effective travel of lead screw and nut, N are total revolution of ball screw assembly, operation;Wherein, It is every ten thousand turns that unit, which runs revolution,;
(6) the wearing depth δ under nut rolling way unit operation revolutionWnAre as follows:
(7) in ball screw assembly, eroded area is considered as a width between ball and lead screw raceway or nut rolling way For the rectangle of 2b, the area A of eroded arean′Are as follows:
An′=2bLRn′
In formula, b is ball and the elliptical semi-minor axis of raceway contact, when n '=s, LRn′Indicate ball screw assembly, in ball with The total length of lead screw raceway eroded area, the i.e. corresponding reach of lead screw effective travel, when n '=n, LRn′Indicate ball-screw The total length of ball and nut rolling way eroded area in pair, the i.e. corresponding reach of nut effective travel;
The corresponding reach L of lead screw effective travelRsAre as follows:
The corresponding reach L of nut effective travelRnAre as follows:
(8) the wear volume W between ball and lead screw raceway contact faceVsAre as follows:
WVsWs·As·N
(9) the wear volume W between ball and nut rolling way contact surfaceVnAre as follows:
WVnWn·An·N
(10) total wear volume W between ball and lead screw raceway and nut rolling way contact surfaceVAre as follows:
WV=WVs+WVn
(11) wear volume between single ball and raceway contact faceAre as follows:
(12) according to traditional Archard theory of wear, under the action of normal force Q, in ball screw assembly, single ball with Wear volume between raceway contact faceAre as follows:
In formula, H is the hardness number on the smaller surface of hardness in two surfaces contacted with each other, and K is the comprehensive mill of ball screw assembly, Damage coefficient, LtSliding distance for single ball relative to raceway;
Wherein, sliding distance L of the ball relative to racewaytAre as follows:
In formula, N is total revolution of ball screw assembly, operation, and ω is the angular speed of lead screw shaft,It is ball relative to raceway Sliding speed;
Wherein, sliding speed of the ball relative to racewayAre as follows:
In formula, VXAnd VYRespectively ball relative to raceway Contact Ellipse semi-minor axis and major semiaxis sliding speed;
Side identical with axial load direction for pretightning force direction:
For the pretightning force direction side contrary with axial load:
Wherein,
In formula, rbFor ball bearing radius, riFor raceway radius, RSFor lead screw bottom diameter, α is the contact angle of ball and raceway, δsWith δnDeflection respectively between ball and lead screw and nut rolling way, ω are the angular speed of lead screw shaft, ωmIt is ball relative to lead screw The revolution angular speed of raceway, ωt, ωnAnd ωbThe respectively spin velocity ω of ballRPoint on t axis, n axis and b axis Amount;
(13) formula in simultaneous (1)~(12) establishes ball screw assembly, resultant wear coefficient computation model are as follows:
In formula,For ball screw assembly, initial idle torque,Unloaded torsion after running ten thousand turns of N for ball screw assembly, Square, J are constant, specifically:
2, ball screw assembly, resultant wear coefficient measuring condition is set.
Measurement of the embodiment of the present invention selects the adjustable 4010 model ball screw assembly, of double nut of pretightning force to be tested, sample This dynamic load rating is 55KN, and rated speed 2000r/min, the reach of lead screw is 1700mm, ball diameter 6.35mm.According to the parameter of sample, this test sets the revolving speed of ball screw assembly, as 1000r/min, initial pretightening force 6800N, total 10,000,000 turns of revolution of operation measure altogether every the measurement that 1,000,000 rotate into the primary unloaded torque of row, including primary data Obtain 11 groups of data.
3, ball screw assembly, to be measured is measured based on Ball Screw Pair Friction Moment mensuration, obtains ball screw assembly, The measured value of resultant wear coefficient.
According to the measuring condition of setting, friction coefficient measurement is carried out to ball screw assembly:
Ball screw assembly, is installed on the workbench first, is dallied 5 minutes with the speed of 1000r/min, so that ball wire Thick stick pair obtains sufficient lubrication.Ball screw assembly, pretightning force level is adjusted to 6800N or so, is surveyed according to determining measuring condition Amount carries out primary unloaded torque measurement to ball screw assembly, every 1,000,000 turns, lubricating grease is added after measurement and continues running-in.Ball Lead screw pair stops the secondary measurement after running 10,000,000 turns, obtain 11 groups of forward and reverse unloaded torque datas corresponding with revolution, such as Shown in the following table 1.
1 resultant wear coefficient measurement data of table
Utilize formula Ti=KNiTo 10 groups of coordinate points (Ni,Ti) carry out linear fit, the straight line fitted as shown in figure 3, The ball screw assembly, resultant wear COEFFICIENT K finally measured is 6.9 × 10-12
With the variation of screw rotation velocity and pretightning force, the resultant wear coefficient value of ball screw assembly, is also variation, institute It will band according to previous empirical value progress value with the resultant wear coefficient in ball screw assembly, performance degradation and life prediction Carry out very big error, and the resultant wear coefficient value that ball screw assembly, resultant wear coefficient measuring method of the present invention is measured is compared It is high in the empirical value precision referred in the past, the abrasion condition of reflection ball screw assembly, that can be more accurate, and then increase substantially The accuracy of life prediction.

Claims (8)

1. a kind of ball screw assembly, resultant wear coefficient measuring method, which comprises the following steps:
Step 1 establishes ball screw assembly, resultant wear coefficient computation model;
Step 2, setting ball screw assembly, resultant wear coefficient measuring condition;
Step 3 measures ball screw assembly, to be measured based on Ball Screw Pair Friction Moment mensuration, obtains ball screw assembly, Resultant wear coefficient.
2. ball screw assembly, resultant wear coefficient measuring method according to claim 1, which is characterized in that described in step 1 Ball screw assembly, resultant wear coefficient computation model is established, specifically:
(1) relationship of ball screw assembly, pretightning force and unloaded torque are as follows:
In formula, FpFor the pretightning force of ball screw assembly, MfFor the unloaded torque of ball screw assembly, α is contact of the ball with raceway Angle, μ are coefficient of friction, rmFor the radius of lead screw shaft, rbFor the radius of ball;
(2) the normal force Q between ball and raceway are as follows:
In formula, M is the ball sum effectively carried, and λ is lead angle;
(3) relationship of the normal deformation amount δ and normal force Q of ball screw assembly, ball and raceway are as follows:
In formula, cKFor constant related with raceway contact point radius of curvature, cEFor material constant;
(4) the total depth Δ δ of lead screw and nut rolling way abrasion are as follows:
Δ δ=δ0N
In formula, δ0For the initial normal deformation amount of raceway, δNTen thousand turns of N rear raceway normal deformation amounts are run for lead screw;
(5) the wearing depth δ under lead screw raceway unit operation revolutionWsAre as follows:
In formula, LsAnd LnThe respectively effective travel of lead screw and nut, N are total revolution of ball screw assembly, operation;Wherein, unit Running revolution is every ten thousand turns;
(6) the wearing depth δ under nut rolling way unit operation revolutionWnAre as follows:
(7) it is 2b that eroded area, which is considered as a width, in ball screw assembly, between ball and lead screw raceway or nut rolling way Rectangle, the area A of eroded arean′Are as follows:
An′=2bLRn′
In formula, b is ball and the elliptical semi-minor axis of raceway contact, when n '=s, LRn′Indicate ball and lead screw in ball screw assembly, The total length of raceway eroded area, the i.e. corresponding reach of lead screw effective travel, when n '=n, LRn′It indicates in ball screw assembly, The total length of ball and nut rolling way eroded area, the i.e. corresponding reach of nut effective travel;
The corresponding reach L of lead screw effective travelRsAre as follows:
The corresponding reach L of nut effective travelRnAre as follows:
(8) the wear volume W between ball and lead screw raceway contact faceVsAre as follows:
WVsWs·As·N
(9) the wear volume W between ball and nut rolling way contact surfaceVnAre as follows:
WVnWn·An·N
(10) total wear volume W between ball and lead screw raceway and nut rolling way contact surfaceVAre as follows:
WV=WVs+WVn
(11) wear volume between single ball and raceway contact faceAre as follows:
(12) according to traditional Archard theory of wear, under the action of normal force Q, single ball and raceway in ball screw assembly, Wear volume between contact surfaceAre as follows:
In formula, H is the hardness number on the smaller surface of hardness in two surfaces contacted with each other, and K is the resultant wear system of ball screw assembly, Number, LtSliding distance for single ball relative to raceway;
Wherein, sliding distance L of the ball relative to racewaytAre as follows:
In formula, N is total revolution of ball screw assembly, operation, and ω is the angular speed of lead screw shaft,Cunning for ball relative to raceway Dynamic speed;
Wherein, sliding speed of the ball relative to racewayAre as follows:
In formula, VXAnd VYRespectively ball relative to raceway Contact Ellipse semi-minor axis and major semiaxis sliding speed;
Side identical with axial load direction for pretightning force direction:
For the pretightning force direction side contrary with axial load:
Wherein,
In formula, rbFor ball bearing radius, riFor raceway radius, RSFor lead screw bottom diameter, α is the contact angle of ball and raceway, δsAnd δnPoint Deflection not between ball and lead screw and nut rolling way, ω are the angular speed of lead screw shaft, ωmIt is ball relative to lead screw raceway Revolution angular speed, ωt, ωnAnd ωbThe respectively spin velocity ω of ballRComponent on t axis, n axis and b axis;
(13) formula in simultaneous (1)~(12) establishes ball screw assembly, resultant wear coefficient computation model are as follows:
In formula,For ball screw assembly, initial idle torque,Unloaded torque after running ten thousand turns of N for ball screw assembly, J For constant, specifically:
3. ball screw assembly, resultant wear coefficient measuring method according to claim 1, which is characterized in that described in step 2 The measuring condition of ball screw assembly, resultant wear coefficient includes ball lead screw auxiliary ran running speed, pretightning force level, performance prison Survey, measurement of friction torque condition, lubricating condition and running-in revolution;Set the measuring condition tool of ball screw assembly, resultant wear coefficient Body are as follows:
(1) ball screw assembly, running speed to be measured is set as v1, take v1≤v0, wherein v0For ball screw assembly, rated speed;
(2) ball screw assembly, initial pretightening force to be measured is set as F1, take F1≤ 30%Ca, wherein CaIt is specified for ball screw assembly, to be measured Dynamic loading;
(3) performance of ball screw assembly, to be measured is monitored in runing condensation procedure, to detect whether ball screw assembly, to be measured runs well, Stop testing if there is exception, continues to test after debugging;
(4) setting uses fixed time test method, and truncated time is ten thousand turns of N;
(5) ball screw assembly, initial friction torque to be measured is measured before setting running-in, later every frictional force of ten thousand turns of n measurements Square, wherein n aliquot N;
(6) setting is ball screw assembly, addition lubricating grease to be measured after measuring moment of friction every time.
4. ball screw assembly, resultant wear coefficient measuring method according to claim 3, which is characterized in that the rolling to be measured The performance of ballscrew pair includes temperature, noise and vibration.
5. ball screw assembly, resultant wear coefficient measuring method according to claim 4, which is characterized in that the N >= 600, n≤100.
6. ball screw assembly, resultant wear coefficient measuring method according to claim 5, which is characterized in that described in step 3 Ball screw assembly, to be measured is measured based on Ball Screw Pair Friction Moment mensuration, obtains ball screw assembly, resultant wear system Number, specifically:
Step 3-1, the initial friction torque M of ball screw assembly, to be measured is measuredf0
Step 3-2, ball screw assembly, to be measured is mounted on ball screw assembly, abrasion engaging experimental bench, with the measuring condition of setting Running-in runs ten thousand turns of n, while monitoring temperature, noise and the vibration of ball screw assembly, if there is abnormal, shutdown inspection failure, Continue to test after debugging;
Step 3-3, measurement of friction torque is carried out to ball screw assembly, to be measured;
Step 3-4, determine the operation revolution of ball-screw vice president, if total operation revolution is less than ten thousand turns of N, return step 3-2; If total operation revolution reaches ten thousand turns of N, running-in terminates, and executes step 3-5;
Step 3-5, it is handled according to all moment of friction data that measurement obtains, obtains the comprehensive mill of ball screw assembly, to be measured Damage coefficient.
7. ball screw assembly, resultant wear coefficient measuring method according to claim 6, which is characterized in that step 3-3 institute It states and measurement of friction torque is carried out to ball screw assembly, to be measured, specifically:
Step 3-3-1, ball screw assembly, to be measured is mounted on measurement of friction torque testing stand, to turn set by measuring condition Fast v1Idle running t minutes, makes ball screw assembly, obtain sufficient lubrication;
Step 3-3-2, c forward and reverse measurement of friction torque is carried out to ball screw assembly, to be measured, the positive moment of friction of the c group measured Numerical value is Mp1、Mp2、...、Mpc;The c group reverse friction torque numerical value measured is Mq1、Mq2、...、Mqc
Step 3-3-3, the forward and reverse measurement of friction torque value of the ball screw assembly, measured c times is averaging, then the secondary moment of friction Measured value are as follows:
Record ball screw assembly, revolution N when i-th Ball Screw Pair Friction Moment to be measured measuresiWith moment of friction value Mfi;I=1, 2 ..., m, m are the number of measurement of friction torque,
8. ball screw assembly, resultant wear coefficient measuring method according to claim 7, which is characterized in that step 3-5 institute It states and is handled according to all moment of friction data that measurement obtains, obtain the resultant wear coefficient of ball screw assembly, to be measured, have Body are as follows:
3-5-1, formula is utilizedM group moment of friction numerical value is converted, corresponding T is obtainedi
Ball-screw revolving speed is N when 3-5-2, note i-th measurement of friction torquei, by NiAnd TiIt is denoted as coordinate points (Ni,Ti), it obtains altogether Obtain m coordinate points;
3-5-3, formula T is utilizedi=KNiAnd linear fit, the straight line fitted are carried out to m coordinate points using least square method Slope is the measured value of ball screw assembly, resultant wear coefficient.
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