CN110095367A - A kind of lead screw raceway coefficient of waste measurement method - Google Patents

A kind of lead screw raceway coefficient of waste measurement method Download PDF

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CN110095367A
CN110095367A CN201910355927.XA CN201910355927A CN110095367A CN 110095367 A CN110095367 A CN 110095367A CN 201910355927 A CN201910355927 A CN 201910355927A CN 110095367 A CN110095367 A CN 110095367A
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lead screw
ball
raceway
coefficient
waste
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CN110095367B (en
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冯虎田
陈斌斌
周长光
周华西
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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
    • 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
    • G01N2203/0001Type of application of the stress
    • G01N2203/0012Constant speed test
    • 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
    • G01N2203/0682Spatial dimension, e.g. length, area, angle

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  • Health & Medical Sciences (AREA)
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Abstract

The invention discloses a kind of lead screw raceway coefficient of waste measurement methods, belong to ball screw assembly, performance measurement field.The following steps are included: establishing ball screw assembly, lead screw raceway coefficient of waste computation model;Set the measuring condition of the ball screw assembly, lead screw raceway coefficient of waste;Lead screw to be measured is measured based on journey error mensuration, obtains the ball screw assembly, lead screw raceway coefficient of waste.Lead screw raceway wears the degeneration that will lead to ball screw assembly, positioning accuracy, and the lead screw raceway coefficient of waste can directly react the catagen speed of positioning accuracy.The present invention provides the methods of the accurate measurement ball screw assembly, lead screw raceway coefficient of waste, the blank in the field is filled up, the wearing depth of lead screw raceway is directly obtained especially by the journey error of measurement lead screw raceway, the final coefficient of waste value for obtaining lead screw raceway, measurement is convenient, as a result accurate, the positioning accuracy catagen speed of reflection ball screw assembly, that can be more accurate compared to the empirical value referred in the past.

Description

A kind of lead screw raceway coefficient of waste measurement method
Technical field
The invention belongs to ball screw assembly, performance measurement field, especially a kind of lead screw raceway coefficient of waste measurement method.
Background technique
Since ball screw assembly, has many advantages, such as positioning accuracy height, transmission efficiency height, high reliablity, long service life, because This is widely used in the fields such as machinery, Aeronautics and Astronautics, nuclear industry, and occupies the exhausted big portion of linear motion application field always Divide market.Fretting wear can reduce the positioning accuracy of ball screw assembly, between ball and lead screw raceway, when abrasion loss reaches certain When degree, precision failure will occur for ball screw assembly,.And the coefficient of waste of ball screw assembly, lead screw raceway can directly reflect rolling The positioning accuracy catagen speed of ballscrew pair, therefore, carrying out theoretical research and test measurement to the coefficient of waste of lead screw raceway has Significance.
The coefficient of waste in ball screw assembly, lead screw raceway wear model mainly with material, lubricating status and rough surface It spends related, it is difficult to theoretically carry out analysis value, and traditional Archard theory of wear is not suitable for the work feelings of lead screw Condition, the coefficient of waste of lead screw raceway generally takes empirical value at present, and no correlation test is measured.And the abrasion system of lead screw raceway Number is most important for the performance indicator of ball screw assembly, and the influence of performance degradation, but ball screw assembly, lead screw rolling at present The research of road coefficient of waste measurement method still belongs to blank, remains to be filled.
Summary of the invention
The purpose of the present invention is to provide ball screw assembly, lead screw raceway coefficient of waste measurement methods, fill up field blank, There is provided theory support and verification experimental verification for the Performance Degradation Model of ball screw assembly, so improve ball screw assembly, performance degradation and The accuracy of life prediction.
The technical solution for realizing the aim of the invention is as follows: a kind of lead screw raceway coefficient of waste measurement method, including following Step:
Step 1 establishes ball screw assembly, lead screw raceway coefficient of waste computation model;
Step 2, setting ball screw assembly, lead screw raceway coefficient of waste measuring condition;
Step 3 measures lead screw to be measured based on journey error mensuration, obtains the abrasion of ball screw assembly, lead screw raceway The measured value of coefficient.
Compared with prior art, the present invention its remarkable advantage are as follows: 1) provide the ball screw assembly, lead screw raceway coefficient of waste and survey Amount method has filled up the blank of ball screw assembly, lead screw raceway coefficient of waste measurement method;2) rolling of ball screw assembly, lead screw is established Relational model between the road coefficient of waste and load, speed, structural parameters and material parameter, it is contemplated that all influence factors, Measurement accuracy is high;3) wearing depth that lead screw raceway is obtained by the journey error of measurement lead screw raceway, finally obtains ball The lead screw pair lead screw raceway coefficient of waste, precision is high, and measurement result is accurately reliable;4) method of the invention is simple and easy, Neng Goushi Now to the rapid survey of the coefficient of waste.
The present invention is described in further detail with reference to the accompanying drawing.
Detailed description of the invention
Fig. 1 is lead screw raceway coefficient of waste measuring method flow chart of the invention.
Fig. 2 is that the present invention is based on the process flows diagram flow chart that journey error mensuration measures ball screw assembly, to be measured.
Fig. 3 shows to measure the lead screw raceway coefficient of waste value of acquisition in the embodiment of the present invention by taking 4010 ball screw assembly,s as an example It is intended to.
Specific embodiment
In conjunction with Fig. 1, lead screw raceway coefficient of waste measurement method of the present invention, comprising the following steps:
Step 1 establishes ball screw assembly, lead screw raceway coefficient of waste computation model;
Step 2, setting ball screw assembly, lead screw raceway coefficient of waste measuring condition;
Step 3 measures lead screw to be measured based on journey error mensuration, obtains the abrasion of ball screw assembly, lead screw raceway Coefficient.
Further, step 1 establishes ball screw assembly, lead screw raceway coefficient of waste computation model, specifically:
(1) in ball screw assembly, the eroded area between ball and lead screw raceway is considered as the square that a width is 2b The area A of shape, eroded area is indicated are as follows:
A=2bLR
In formula, b is ball and the elliptical semi-minor axis of raceway contact, LRIt is worn for ball in ball screw assembly, and lead screw raceway The total length in region, the i.e. corresponding reach of lead screw effective travel indicate are as follows:
In formula, LsFor the effective travel of lead screw, λ is lead angle;
(2) the wearing depth δ under lead screw raceway unit operation revolutionWsIt indicates are as follows:
In formula, N is total revolution of lead screw operation, V0For the journey error that lead screw initially measures, VNTen thousand turns of N are run for lead screw The journey error measured afterwards, α are the contact angle of ball and raceway;Wherein, unit operation revolution is every ten thousand turns;
(3) total wear volume W between ball and lead screw raceway contact faceVAre as follows:
WVWs·A·N
(4) wear volume between single ball and lead screw raceway contact faceAre as follows:
In formula, M is the ball sum effectively carried;
(5) according to traditional Archard theory of wear, under the action of normal force Q, single ball and silk in ball screw assembly, Wear volume between thick stick raceway contact faceIt indicates are 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 ball screw assembly, lead screw raceway The coefficient of waste, LtSliding distance for single ball relative to lead screw raceway, normal direction of the Q between ball and lead screw raceway Power;
(6) ball is indicated relative to the sliding distance of lead screw raceway are as follows:
In formula, ω is the angular speed of lead screw shaft,Sliding speed for ball relative to lead screw raceway;
Wherein, ball is indicated relative to the sliding speed of lead screw raceway are as follows:
In formula, VXAnd VYRespectively ball relative to lead screw 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;
(7) the normal force Q between ball and lead screw raceway are as follows:
In formula, FaThe axial load being subject to for ball screw assembly,;
(8) formula in simultaneous (1)~(7), establishes the coefficient of waste computation model of ball screw assembly, lead screw raceway are as follows:
In formula, J is constant, is indicated are as follows:
Further, the measuring condition of the step 2 ball screw assembly, lead screw raceway coefficient of waste includes ball lead screw auxiliary ran Running speed, axial load, performance monitoring, journey error measuring condition, lubricating condition and running-in revolution;Set ball screw assembly, The measuring condition of the lead screw raceway coefficient of waste 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, axial load to be measured is set as Fa, take Fa≤ 30%Ca, wherein CaIt is specified for ball screw assembly, Dynamic loading;
(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) the priming stroke error of lead screw is measured before setting running-in, the stroke for measuring a lead screw every ten thousand turns of n later misses Difference, wherein n aliquot N;
(6) setting is ball screw assembly, addition lubricating grease to be measured after measuring journey error 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 is based on journey error mensuration and measures to ball screw assembly, to be measured, obtains The ball screw assembly, lead screw raceway coefficient of waste, specifically:
Step 3-1, the priming stroke error V of ball screw assembly, lead screw to be measured is measured0
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, journey error measurement is carried out to the lead screw of 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, all journey error data obtained according to measurement obtain the coefficient of waste of lead screw raceway.
Further, journey error measurement is carried out to the lead screw of ball screw assembly, to be measured described in step 3-3, specifically:
Step 3-3-1, ball screw assembly, to be measured is mounted in journey error measuring test-bed, removes sealing ring, stand t Hour is to ensure lead screw thermal balance;
Step 3-3-2, it carries out c forward and reverse journey error to lead screw to be measured to measure, the c group forward stroke margin of error measured Value isThe c group reverse stroke error value measured is
Step 3-3-3, the forward and reverse journey error measured value of the ball screw assembly, measured c times is averaging, then the secondary stroke Error measuring value are as follows:
Ball screw assembly, revolution N when recording the screw travel error measure of i-th ball screw assembly, to be measurediAnd journey error Value Vi;I=1,2 ..., m, m are the number of journey error measurement,
It is exemplary preferably, c=5.
Further, all journey error data obtained described in step 3-5 according to measurement obtain the abrasion of lead screw raceway Coefficient, specifically:
3-5-1, formula T is utilizedi=J (Vi-V0) m group journey error numerical value is converted, obtain corresponding Ti
Ball-screw revolving speed is N when 3-5-2, note i-th journey error measurementi, 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 the ball screw assembly, lead screw raceway coefficient of waste.
Further detailed description is done to the present invention below with reference to embodiment.
Embodiment
Ball screw assembly, lead screw raceway coefficient of waste measurement method of the present invention, including the following contents:
1, ball screw assembly, lead screw raceway coefficient of waste computation model is established.
(1) in ball screw assembly, the eroded area between ball and lead screw raceway is considered as the square that a width is 2b The area A of shape, eroded area is indicated are as follows:
A=2bLR
In formula, b is ball and the elliptical semi-minor axis of raceway contact, LRIt is worn for ball in ball screw assembly, and lead screw raceway The total length in region, the i.e. corresponding reach of lead screw effective travel indicate are as follows:
In formula, LsFor the effective travel of lead screw, λ is lead angle;
(2) the wearing depth δ under lead screw raceway unit operation revolutionWsIt indicates are as follows:
In formula, N is total revolution of lead screw operation, V0For the journey error that lead screw initially measures, VNTen thousand turns of N are run for lead screw The journey error measured afterwards, α are the contact angle of ball and raceway;Wherein, unit operation revolution is every ten thousand turns;
(3) total wear volume W between ball and lead screw raceway contact faceVAre as follows:
WVWs·A·N
(4) wear volume between single ball and lead screw raceway contact faceAre as follows:
In formula, M is the ball sum effectively carried;
(5) according to traditional Archard theory of wear, under the action of normal force Q, single ball and silk in ball screw assembly, Wear volume between thick stick raceway contact faceIt indicates are 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 ball screw assembly, lead screw raceway The coefficient of waste, LtSliding distance for single ball relative to lead screw raceway, normal direction of the Q between ball and lead screw raceway Power;
(6) ball is indicated relative to the sliding distance of lead screw raceway are as follows:
In formula, ω is the angular speed of lead screw shaft,Sliding speed for ball relative to lead screw raceway;
Wherein, ball is indicated relative to the sliding speed of lead screw raceway are as follows:
In formula, VXAnd VYRespectively ball relative to lead screw 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;
(7) the normal force Q between ball and lead screw raceway are as follows:
In formula, FaThe axial load being subject to for ball screw assembly,;
(8) formula in simultaneous (1)~(7), establishes the coefficient of waste computation model of lead screw raceway are as follows:
In formula, J is constant, be may be expressed as:
2, ball screw assembly, lead screw raceway coefficient of waste measuring condition is set.
Measurement of the embodiment of the present invention selects 4010 model ball screw assembly, of double nut to be tested, the dynamic load rating of sample For 55KN, rated speed 2000r/min, the reach of lead screw is 1700mm, ball diameter 6.35mm.According to the ginseng of sample Number, this test set the revolving speed of ball screw assembly, as 1000r/min, and axial load 8kN is total to run 7,000,000 turns of revolution, every 1000000 rotate into the measurement of row one stroke error, including primary data measures obtain 8 groups of data altogether.
3, lead screw to be measured is measured based on journey error mensuration, obtains the ball screw assembly, lead screw raceway coefficient of waste Measured value.
According to the measuring condition of setting, journey error measurement is carried out to lead screw:
Ball screw assembly, is installed on the workbench first, removes sealing ring, standing 2 hours or more to ensure that lead screw heat is flat Weighing apparatus.Ball screw assembly, axial load is adjusted to 8kN or so, is measured according to determining measuring condition, every 1,000,000 turns to rolling The lead screw of ballscrew pair carries out one stroke error measure, and lubricating grease is added after measurement and continues running-in.Ball screw assembly, operation 700 Stop the secondary measurement after ten thousand turns, obtains 8 groups of forward and reverse journey error data corresponding with revolution, as shown in table 1 below.
1 coefficient of waste measurement data of table
Utilize formula Ti=KNiTo 8 groups of data (Ni,Ti) linear fit is carried out, the straight line fitted is as shown in figure 3, then survey The ball screw assembly, lead screw raceway coefficient of waste K obtained is 3.0 × 10-12
The present invention directly obtains the wearing depth of lead screw raceway by measuring the journey error of lead screw raceway, finally obtains silk The coefficient of waste value of thick stick raceway, measurement is convenient, and as a result accurately, reflection that can be more accurate compared to the empirical value referred in the past is rolled The positioning accuracy catagen speed of ballscrew pair.The coefficient of waste of lead screw raceway depends on the material of ball screw assembly, structure, work When load and the speed of service, the influence factor of lead screw raceway abrasion condition, needle can be comprehensively considered using method of the invention The corresponding lead screw raceway coefficient of waste is gone out to different types of ball screw assembly, and different working condition measurings, for ball screw assembly, Precision degenerate and life prediction be of great significance.

Claims (9)

1. a kind of lead screw raceway coefficient of waste measurement method, which comprises the following steps:
Step 1 establishes ball screw assembly, lead screw raceway coefficient of waste computation model;
Step 2, setting ball screw assembly, lead screw raceway coefficient of waste measuring condition;
Step 3 measures lead screw to be measured based on journey error mensuration, obtains ball screw assembly, lead screw raceway abrasion system Number.
2. ball screw assembly, lead screw raceway coefficient of waste measurement method according to claim 1, which is characterized in that step 1 It is described to establish ball screw assembly, lead screw raceway coefficient of waste computation model, specifically:
(1) in ball screw assembly, the eroded area between ball and lead screw raceway is considered as the rectangle that a width is 2b, mill The area A for damaging region is indicated are as follows:
A=2bLR
In formula, b is ball and the elliptical semi-minor axis of raceway contact, LRFor ball in ball screw assembly, and lead screw raceway eroded area Total length, i.e. the corresponding reach of lead screw effective travel indicates are as follows:
In formula, LsFor the effective travel of lead screw, λ is lead angle;
(2) the wearing depth δ under lead screw raceway unit operation revolutionWsIt indicates are as follows:
In formula, N is total revolution of lead screw operation, V0For the journey error that lead screw initially measures, VNIt is surveyed after running ten thousand turns of N for lead screw The journey error obtained, α are the contact angle of ball and raceway;Wherein, unit operation revolution is every ten thousand turns;
(3) total wear volume W between ball and lead screw raceway contact faceVAre as follows:
WVWs·A·N
(4) wear volume between single ball and lead screw raceway contact faceAre as follows:
In formula, M is the ball sum effectively carried;
(5) according to traditional Archard theory of wear, under the action of normal force Q, single ball and lead screw are rolled in ball screw assembly, Wear volume between road contact surfaceIt indicates are 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 mill of ball screw assembly, lead screw raceway Damage coefficient, LtSliding distance for single ball relative to lead screw raceway, normal force of the Q between ball and lead screw raceway;
(6) ball is indicated relative to the sliding distance of lead screw raceway are as follows:
In formula, ω is the angular speed of lead screw shaft,Sliding speed for ball relative to lead screw raceway;
Wherein, ball is indicated relative to the sliding speed of lead screw raceway are as follows:
In formula, VXAnd VYRespectively ball relative to lead screw 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;
(7) the normal force Q between ball and lead screw raceway are as follows:
In formula, FaThe axial load being subject to for ball screw assembly,;
(8) formula in simultaneous (1)~(7), establishes the coefficient of waste computation model of ball screw assembly, lead screw raceway are as follows:
In formula, J is constant, is indicated are as follows:
3. lead screw raceway coefficient of waste measurement method according to claim 1 or 2, which is characterized in that ball described in step 2 The measuring condition of the lead screw pair lead screw raceway coefficient of waste include ball lead screw auxiliary ran running speed, axial load, performance monitoring, Journey error measuring condition, lubricating condition and running-in revolution;Set the measuring condition of the ball screw assembly, lead screw raceway coefficient of waste 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, axial load to be measured is set as Fa, take Fa≤ 30%Ca, wherein CaFor the specified dynamic load of ball screw assembly, Lotus;
(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) the priming stroke error that lead screw is measured before setting running-in, measures the journey error of a lead screw every ten thousand turns of n later, Wherein n aliquot N;
(6) setting is ball screw assembly, addition lubricating grease to be measured after measuring journey error every time.
4. lead screw raceway coefficient of waste measurement method according to claim 3, which is characterized in that the ball-screw to be measured Secondary performance includes temperature, noise and vibration.
5. lead screw raceway coefficient of waste measurement method according to claim 4, which is characterized in that the N >=600, n≤ 100。
6. lead screw raceway coefficient of waste measurement method according to claim 5, which is characterized in that based on row described in step 3 Journey error measure method measures ball screw assembly, to be measured, obtains the ball screw assembly, lead screw raceway coefficient of waste, specifically:
Step 3-1, the priming stroke error V of ball screw assembly, lead screw to be measured is measured0
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, journey error measurement is carried out to the lead screw of 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, all journey error data obtained according to measurement obtain the coefficient of waste of lead screw raceway.
7. lead screw raceway coefficient of waste measurement method according to claim 6, which is characterized in that described in step 3-3 pair The lead screw of ball screw assembly, to be measured carries out journey error measurement, specifically:
Step 3-3-1, ball screw assembly, to be measured is mounted in journey error measuring test-bed, removes sealing ring, stand t hours To ensure lead screw thermal balance;
Step 3-3-2, it carries out c forward and reverse journey error to lead screw to be measured to measure, the c group forward stroke error value measured isThe c group reverse stroke error value measured is
Step 3-3-3, the forward and reverse journey error measured value of the ball screw assembly, measured c times is averaging, then the secondary journey error Measured value are as follows:
Ball screw assembly, revolution N when recording the screw travel error measure of i-th ball screw assembly, to be measurediWith journey error value Vi; I=1,2 ..., m, m are the number of journey error measurement,
8. lead screw raceway coefficient of waste measurement method according to claim 7, which is characterized in that the c=5.
9. lead screw raceway coefficient of waste measurement method according to claim 8, which is characterized in that basis described in step 3-5 All journey error data obtained are measured, the coefficient of waste of lead screw raceway is obtained, specifically:
3-5-1, formula T is utilizedi=J (Vi-V0) m group journey error numerical value is converted, obtain corresponding Ti
Ball-screw revolving speed is N when 3-5-2, note i-th journey error measurementi, 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 the ball screw assembly, lead screw raceway coefficient of waste.
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CN110633515A (en) * 2019-08-29 2019-12-31 南京理工大学 Method for calculating fatigue life of ball screw pair under extreme load extremely short time working condition
CN112115565A (en) * 2020-09-28 2020-12-22 重庆理工大学 Bolt thread height optimization method

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