CN108253915A - A kind of six ball models and scaling method - Google Patents
A kind of six ball models and scaling method Download PDFInfo
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- CN108253915A CN108253915A CN201810050776.2A CN201810050776A CN108253915A CN 108253915 A CN108253915 A CN 108253915A CN 201810050776 A CN201810050776 A CN 201810050776A CN 108253915 A CN108253915 A CN 108253915A
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- 238000000034 method Methods 0.000 title claims abstract description 32
- 239000000758 substrate Substances 0.000 claims abstract description 30
- 238000005259 measurement Methods 0.000 claims abstract description 26
- 239000000463 material Substances 0.000 claims description 8
- 239000000919 ceramic Substances 0.000 claims description 5
- 239000011521 glass Substances 0.000 claims description 5
- UONOETXJSWQNOL-UHFFFAOYSA-N tungsten carbide Chemical compound [W+]#[C-] UONOETXJSWQNOL-UHFFFAOYSA-N 0.000 claims description 5
- 239000010979 ruby Substances 0.000 claims description 4
- 229910001750 ruby Inorganic materials 0.000 claims description 4
- 239000000523 sample Substances 0.000 description 11
- 238000004519 manufacturing process Methods 0.000 description 9
- 229910010293 ceramic material Inorganic materials 0.000 description 3
- 238000013461 design Methods 0.000 description 3
- 238000010586 diagram Methods 0.000 description 3
- 238000005516 engineering process Methods 0.000 description 3
- 238000011160 research Methods 0.000 description 3
- 229910052581 Si3N4 Inorganic materials 0.000 description 2
- 238000004364 calculation method Methods 0.000 description 2
- 230000007613 environmental effect Effects 0.000 description 2
- 238000009413 insulation Methods 0.000 description 2
- HQVNEWCFYHHQES-UHFFFAOYSA-N silicon nitride Chemical compound N12[Si]34N5[Si]62N3[Si]51N64 HQVNEWCFYHHQES-UHFFFAOYSA-N 0.000 description 2
- 230000006641 stabilisation Effects 0.000 description 2
- 238000011105 stabilization Methods 0.000 description 2
- 230000003746 surface roughness Effects 0.000 description 2
- 206010054949 Metaplasia Diseases 0.000 description 1
- 238000004164 analytical calibration Methods 0.000 description 1
- 238000000205 computational method Methods 0.000 description 1
- 230000007812 deficiency Effects 0.000 description 1
- 238000011161 development Methods 0.000 description 1
- 230000018109 developmental process Effects 0.000 description 1
- 230000030400 head development Effects 0.000 description 1
- 230000013011 mating Effects 0.000 description 1
- 230000015689 metaplastic ossification Effects 0.000 description 1
- 230000003287 optical effect Effects 0.000 description 1
- 238000010010 raising Methods 0.000 description 1
- 239000004575 stone Substances 0.000 description 1
Classifications
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
- G01B21/02—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring length, width, or thickness
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- A Measuring Device Byusing Mechanical Method (AREA)
Abstract
The present invention relates to a kind of six ball models and scaling methods, including substrate, six standard balls, six standard balls are divided into two groups, every group includes three standard balls, three standard balls in every group are trapped among together, allow survey ball and three standard balls it is tangent simultaneously, two groups of standard balls are separately fixed at the both direction of substrate；In calibration process, contact measurement is carried out by three standard balls in gauge head and six ball models, three standard balls are easier to limit the slip of gauge head, positioning accuracy is high, the drawbacks of conventional tooth is easily slided away from gauge head in being demarcated with transverse tooth thickness can be effectively prevented from, so as to effectively improve tooth pitch and the precision of transverse tooth thickness calibration.
Description
Technical field
The present invention relates to measuring instrument calibration technique fields, and in particular to a kind of six ball models and scaling method.
Background technology
Measuring instrument is to carry out the required tool in the fields such as scientific research, education and instruction, engineering survey, with the hair of science and technology
Exhibition and the progress in epoch, all kinds of measuring instruments have obtained development energetically, and application range in social life is more and more extensive,
And high-precision, the measuring instrument of high reliability, it is always field scientific research personnel's research and discovery emphasis.
Measuring instrument is usually provided with gauge head, and gauge head is used to acquire measurand relevant parameter as sensor, gauge head
Development level directly affects the measurement accuracy and measurement efficiency of measuring instrument.Precision feeler be generally divided into contact measuring head with it is non-
Two kinds of contact measuring head, wherein contact measuring head are divided into as mechanical gauge head, touch trigger probe and scanning probe；It is contactless
Gauge head is divided into laser feeler and optical video gauge head.
Mechanical gauge head is that precision measurement instrument uses a kind of gauge head earlier；The gauge head surveys end by gauge head and measurand is straight
Contact measures, and is mainly used for manual measurement；Such measuring head structure is simple and convenient to operate, and shortcoming is that precision is not high,
Measurement efficiency is low, is currently rarely used for field of industrial measurement.The application of touch trigger probe and scanning probe in industrial circle
The most extensively；Touch trigger probe and scanning probe generally include stylus with surveying ball, in measurement process, using survey ball with it is tested
Object contact realizes the acquisition of relevant parameter；Wherein, touch trigger probe has simple in structure, easy to use and higher triggering essence
The advantages that spending, compares and touch trigger probe, and the precision higher of scanning probe, with better function, adaptability is wider, and is provided simultaneously with
The function that spot measurement and continuous scanning measure.
Have an important parameter in gear measurement for tooth pitch and transverse tooth thickness, the parameter generally use master gear come realize tooth pitch with
The calibration of transverse tooth thickness is measured by measuring instrument on master gear reference circle.But due to measuring instrument positioning accuracy with
And there are gauge head sliding problem, tooth pitch and transverse tooth thickness calibration values when with face usually there will be certain deviation for gauge head.
Invention content
It is an object of the invention to improve the deficiency in the presence of the prior art, a kind of six ball models and calibration side are provided
Method in calibration process, carries out contact measurement, three standard balls are easier by three standard balls in gauge head and six ball models
The slip of gauge head is limited, positioning accuracy is high, can be effectively prevented from the disadvantage that conventional tooth is easily slided away from gauge head in being demarcated with transverse tooth thickness
End, so as to effectively improve tooth pitch and the precision of transverse tooth thickness calibration.
The technical solution adopted by the present invention to solve the technical problems is：
A kind of six ball models, including substrate, six standard balls, six standard balls are divided into two groups, and every group includes three
Standard ball, three standard balls in every group are trapped among together so that surveying ball can be tangent simultaneously with three standard balls, two groups of marks
Quasi- ball is separately fixed at the both direction of substrate.
In the six balls model, there are two groups of standard balls, every group includes three standard balls respectively, and three standard balls are set respectively
On substrate, and be trapped among together, can be tangent between three standard balls, can also mutually from, mutually from when need to only balance standard ball
Diameter and two balls between centre-to-centre spacing, ensure gauge head survey ball can simultaneously it is tangent with three standard balls；Measuring instrument exists
When carrying out tooth pitch with transverse tooth thickness calibration, the survey ball of gauge head can survey ball with three in one group simultaneously and be in contact, and form three contact points,
Three contact point pairs survey ball and form supported at three point, so as to be easier that the slip of ball is surveyed in limitation measurement process, improve positioning accuracy,
And then effectively improve tooth pitch and the precision of transverse tooth thickness calibration.
Preferably, the substrate is tablet.When the substrate is tablet, measuring instrument is both set or is fixed on convenient for substrate
On, it is demarcated with carrying out tooth pitch with transverse tooth thickness；Standard measuring instruments is easy to use to measure the spacing between two groups of standard balls again.
Preferably, three standard balls in every group are tangent two-by-two.Each standard ball is integrally fixed on substrate, in every group
Three standard balls are disposed on the substrate with position relationship tangent two-by-two, can be so as to during the manufacturing of six ball models
Three standard balls promptly are divided into one group, and are fixed in place, so as to be conducive to shorten process time；It is in addition, every
Three standard balls in group two-by-two it is tangent be disposed on the substrate after, be also convenient for later stage tooth pitch in transverse tooth thickness calibration process to each
Ball is positioned, and so as to simplify the process for calculating theoretical position when gauge head contacts simultaneously with three standard balls in every group, is made
It must calculate more succinctly, conveniently.
Preferably, the diameter of six standard balls is identical.The diameter of each standard ball is identical in six ball models, is conducive to letter
Metaplasia is produced and manufacturing process, while is also convenient for later stage tooth pitch in transverse tooth thickness calibration process, ball and three in every group are surveyed on gauge head
A standard ball contacts simultaneously, can also simplify and calculate theoretical position when gauge head contacts simultaneously with three standard balls in every group
Process.
Preferably, the precision of the standard ball is not less than the precision that ball is surveyed on gauge head.Standard ball in six ball models is to survey
Measuring appratus carries out reference sphere when tooth pitch is demarcated with transverse tooth thickness, and precision has very big shadow for the precision of tooth pitch and transverse tooth thickness calibration
Ring, so just need to reduce or exclude as possible this influence at the beginning of the design of six ball models, as long as when standard ball precision not
During less than surveying the accuracy of manufacture of ball in itself, standard ball can just be dropped to as with reference to influence of the ball for tooth pitch and transverse tooth thickness stated accuracy
It is minimum, it can be ignored.
Preferably, the precision of the standard ball is higher than one grade of precision that ball is surveyed on gauge head.The precision of standard ball is higher,
Its manufacturing process is more troublesome, the period is longer, cost is higher；When the precision of standard ball is higher than one grade of precision for surveying ball, mark
The precision of quasi- ball influences the error that tooth pitch and transverse tooth thickness are demarcated smaller, while can also balance being fabricated to for six ball models well
This.
Preferably, the standard ball is made of ruby or ceramics or glass or tungsten carbide material.Due to standard ball
Required precision it is very high, so standard ball must also have high rigidity, high-wearing feature, antistatic, antimagnetic, good insulation preformance,
Every characteristics such as pyroconductivity is low, anti-acid-base property is good, extremely low surface roughness, so as to prevent because environmental factor is to six
Standard ball in ball model has an impact, and then influences tooth pitch and the precision of transverse tooth thickness calibration；And in common material, red treasured
The materials such as stone, ceramics, glass, tungsten carbide all have more than characteristic, meet the requirement of standard ball.
Preferably, the standard being labeled on the substrate between the radius of standard ball or diameter parameters and two groups of standard balls
Spacing parameter.Normal pitch parameter between the radius or diameter parameters of the standard ball and two groups of standard balls is in six balls
After sample making is completed, the data measured using standard measuring instruments, data are reliable, precision is high, be easy to use this six
It is referred to during ball model.
A kind of scaling method, includes the following steps：
(1) radius of each standard ball or diameter parameters and sphere center position parameter in six ball models are obtained.
(2) radius or diameter parameters that ball is surveyed in measuring instrument are obtained；
(3) according to the data obtained in step (1) and (2), ball and three standard balls in every group are surveyed by calculating to obtain
Theoretical position parameter when contacting simultaneously；
(4) the survey ball of measuring equipment measures three standard balls in respective sets in theoretical position, obtains respectively
The location parameter A and B of two groups of standard balls are obtained, and passes through measurement the spacing parameter L, wherein L for calculating and obtaining between two groups of standard balls
=| A-B |；
(5) by the measurement spacing L in step (4) and normal pitch L0It is compared, determines the precision of measuring instrument, completed
Tooth pitch is demarcated with transverse tooth thickness；Wherein, normal pitch L0It is two groups of standard balls in the six balls model obtained using standard measuring instruments
Between spacing.
It is simple to the whole process that measuring instrument carries out tooth pitch with transverse tooth thickness is demarcated using six ball models, three in six ball models
A standard ball can form the supports of 3 points of stabilizations to surveying ball, thus greatly reduce the slippage errors that measuring instrument surveys ball, can be with
Effectively improve tooth pitch and the stated accuracy of transverse tooth thickness.
Compared with prior art, using a kind of six balls model provided by the invention and scaling method, in calibration process, lead to
Three standard balls crossed in gauge head and six ball models carry out contact measurement, and three standard balls are easier to limit the slip of gauge head, fixed
Position precision is high, the drawbacks of conventional tooth is easily slided away from gauge head in being demarcated with transverse tooth thickness can be effectively prevented from, so as to effectively improve
Tooth pitch and the precision of transverse tooth thickness calibration.
Description of the drawings
It in order to illustrate the technical solution of the embodiments of the present invention more clearly, below will be to needed in the embodiment attached
Figure is briefly described, it should be understood that the following drawings illustrates only certain embodiments of the present invention, therefore is not construed as pair
The restriction of range, for those of ordinary skill in the art, without creative efforts, can also be according to this
A little attached drawings obtain other relevant attached drawings.
Fig. 1 is the structure diagram of common gauge head in measuring instrument provided by the invention.
Fig. 2 is a kind of grade shaft side figures of the six balls model provided in the embodiment of the present invention 1.
Fig. 3 is the vertical view of a kind of six balls model provided in the embodiment of the present invention 1.
Fig. 4 is showing when the survey ball provided in the embodiment of the present invention 1 contacts simultaneously with three standard balls in six ball models
It is intended to.
When Fig. 5 is that provided in the embodiment of the present invention 4 a kind of carries out tooth pitch and transverse tooth thickness using six ball models and demarcate, survey is calculated
Geometrical relationship figure during ball theoretical position.
When Fig. 6 is that provided in the embodiment of the present invention 4 a kind of carries out the calibration of tooth pitch and transverse tooth thickness using six ball models, measuring instrument
Measurement spacing schematic diagram between two groups of standard balls that device is measured.
Fig. 7 is the six ball model of one kind provided in the embodiment of the present invention 4, wherein, the diameter of six standard balls differs, but
Three standard balls in every group all tangent schematic diagrames two-by-two.
When Fig. 8 is that the another kind provided in the embodiment of the present invention 4 carries out tooth pitch with transverse tooth thickness calibration using six ball models, calculate
Survey geometrical relationship figure during ball theoretical position.
Description of symbols in figure
First standard ball 1；Second standard ball 2；Third standard ball 3；4th standard ball 4；5th standard ball 5；6th standard
Ball 6；Substrate 7；Gauge head 8；Stylus 9；Gauge head 10；Markup information 11.
Specific embodiment
Below in conjunction with attached drawing in the embodiment of the present invention, the technical solution in the embodiment of the present invention is carried out clear, complete
Ground describes, it is clear that described embodiment is only part of the embodiment of the present invention, instead of all the embodiments.Usually exist
The component of the embodiment of the present invention described and illustrated in attached drawing can be configured to arrange and design with a variety of different herein.Cause
This, the detailed description of the embodiment of the present invention to providing in the accompanying drawings is not intended to limit claimed invention below
Range, but it is merely representative of the selected embodiment of the present invention.Based on the embodiment of the present invention, those skilled in the art are not doing
Go out all other embodiments obtained under the premise of creative work, shall fall within the protection scope of the present invention.
In the measuring instrument introduced in background technology, common measuring head structure, as shown in Figure 1, label 8 is gauge head in figure,
Label 9 is stylus, and label 10 is surveys ball.
Embodiment 1
Fig. 2 and Fig. 3 is please referred to, a kind of six ball models are provided in the present embodiment, including 7, six standard balls of substrate, six
A standard ball is divided into two groups, and every group includes three standard balls, and three standard balls in every group are trapped among together so that surveying ball 10 can be with
Tangent simultaneously with three standard balls, two groups of standard balls are separately fixed at the both direction of substrate 7.
In the present embodiment, three standard balls in every group are tangent two-by-two, such as the first standard ball 1, the second standard in Fig. 2
Ball 2 and third standard ball 3 are tangent two-by-two, and the 4th standard ball 4, the 5th standard ball 5 and the 6th standard ball 6 are two two-phases
It cuts；Each standard ball is integrally fixed on substrate 7, and three in every group standard ball is arranged on position relationship tangent two-by-two
On substrate 7, for measuring instrument when carrying out tooth pitch and transverse tooth thickness is demarcated, 10 energy of ball of surveying of gauge head 8 surveys balls with three in one group simultaneously
10 are in contact, as shown in figure 4, forming three contact points, three contact point pairs survey ball 10 and form supported at three point, so as to be easier to limit
The slip of ball 10 is surveyed in measurement process processed, improves positioning accuracy, and then effectively improves tooth pitch and the precision of transverse tooth thickness calibration；This
Outside, three standard balls in every group two-by-two it is tangent be arranged on substrate 7 after, be also convenient for later stage tooth pitch in transverse tooth thickness calibration process
Each ball is positioned, theoretical position when gauge head 8 contacts simultaneously with three standard balls in every group is calculated so as to simplify
Process so that calculate more succinctly, conveniently.
In further scheme, the diameter of six standard balls in six ball models is identical；Thus it is possible, on the one hand, have
Conducive to simplified production and manufacturing process；On the other hand, it is also convenient in later stage tooth pitch and transverse tooth thickness calibration process, the survey ball on gauge head 8
10 contact simultaneously with three standard balls in every group, can also simplify calculating gauge head 8 and be connect simultaneously with three standard balls in every group
The process of theoretical position when touching.
In the present embodiment, substrate 7 is using tablet；Because when substrate 7 is tablet, both set convenient for substrate 7 or
It is fixed in measuring instrument, is demarcated with carrying out tooth pitch with transverse tooth thickness；Be easy to use again standard measuring instruments measure two groups of standard balls it
Between spacing.
The precision of standard ball is not less than the precision that ball 10 is surveyed on gauge head 8；Standard ball in six ball models be measuring instrument into
Reference sphere when row tooth pitch is demarcated with transverse tooth thickness, the precision that precision demarcates tooth pitch with transverse tooth thickness have a great impact, so
It just needs to reduce or exclude as possible this influence at the beginning of the design of six ball models, as long as when the precision of standard ball is not less than survey ball 10
During the accuracy of manufacture of itself, standard ball can be just preferably minimized as with reference to influence of the ball for tooth pitch and transverse tooth thickness stated accuracy, can
To ignore.
Specifically, in the present embodiment, the precision of standard ball is higher than one grade of precision that ball 10 is surveyed on gauge head 8.Mark
The precision of quasi- ball is higher, and manufacturing process is more troublesome, the period is longer, cost is higher；When the precision of standard ball is higher than survey ball 10
During one grade of precision, the precision of standard ball influences tooth pitch with the error that transverse tooth thickness is demarcated smaller, while can also balance well
The cost of manufacture of six ball models.
Since the required precision to standard ball is very high, so standard ball must also have high rigidity, high-wearing feature, anti-quiet
Every characteristics such as electric, antimagnetic, good insulation preformance, pyroconductivity are low, anti-acid-base property is good, extremely low surface roughness, so as to
It prevents because environmental factor has an impact the standard ball in six ball models, and then influences tooth pitch and the precision of transverse tooth thickness calibration；
And in common material, the materials such as ruby, ceramics, glass, tungsten carbide all have more than characteristic, meet wanting for standard ball
It asks, thus can standard ball preferentially be made using ruby or the materials such as ceramics or glass or tungsten carbide；In the present embodiment,
Standard ball is using ceramic material, specifically, being the silicon nitride material in ceramic material；Silicon nitride is a kind of very rigid
Wear-resisting ceramic material can be processed into the very high sphere of precision, can also be polished to extremely smooth surface smoothness, so as to the greatest extent may be used
Can raisings standard ball precision, the influence of the precision of the ball that debases the standard to tooth pitch and transverse tooth thickness stated accuracy.
In further scheme, the diameter parameters (or radius parameter) and two of standard ball are also labeled on substrate 7
Normal pitch parameter between group standard ball, as shown in Figure 2 or Figure 3；Wherein, the radius of standard ball or diameter parameters and two groups
Normal pitch parameter between standard ball is after the completion of six ball sample makings, is measured using standard measuring instruments
Data, data are reliable, precision is high, referred to when being easy to use the six balls model.
Embodiment 2
The present embodiment 2 and the main distinction of above-described embodiment 1 are, in the present embodiment, every group in the six balls model
In three standard balls can be mutually from that is, three standard balls are not necessarily tangent；But three standard balls are provided on substrate,
And be trapped among together, it needs to have balanced the centre-to-centre spacing between the diameter of standard ball and two balls at this time, just can guarantee the survey ball of gauge head
It can be tangent with three standard balls simultaneously；So that measuring instrument is when carrying out tooth pitch and transverse tooth thickness and demarcating, the survey ball of gauge head can simultaneously with
It surveys ball for three in one group to be in contact, forms three contact points, three contact point pairs survey ball and form supported at three point, so as to be easier
The slip that ball is surveyed in measurement process is limited, improves positioning accuracy, and then effectively improves tooth pitch and the precision of transverse tooth thickness calibration.
Embodiment 3
The present embodiment 3 and the main distinction of above-described embodiment 1 be, in the present embodiment, six in the six balls model
The diameter of each and every one standard ball is not necessarily complete equal；But three standard balls are provided on substrate, and are trapped among together, are needed at this time
The centre-to-centre spacing between the diameter of standard ball and two balls has been balanced, has ensured that the survey ball of gauge head can be tangent i.e. with three standard balls simultaneously
It can；So that measuring instrument is when carrying out tooth pitch with transverse tooth thickness calibration, the survey ball of gauge head can survey ball with three in one group simultaneously and connect
It touches, forms three contact points, three contact point pairs survey ball and form supported at three point, so as to be easier to survey ball in limitation measurement process
It slides, improves positioning accuracy, and then effectively improve tooth pitch and the precision of transverse tooth thickness calibration.
Embodiment 4
A kind of scaling method is provided in the present embodiment, is included the following steps：
(1) radius of each standard ball or diameter parameters and sphere center position parameter in six ball models are obtained.
(2) radius or diameter parameters that ball is surveyed in measuring instrument are obtained；
(3) according to the data obtained in step (1) and (2), ball and three standard balls in every group are surveyed by calculating to obtain
Theoretical position parameter when contacting simultaneously；
(4) the survey ball of measuring equipment measures three standard balls in respective sets in theoretical position, obtains respectively
The location parameter A and B of two groups of standard balls are obtained, and passes through measurement the spacing parameter L, wherein L for calculating and obtaining between two groups of standard balls
=| A-B |；
(5) by the measurement spacing L in step (4) and normal pitch L0It is compared, determines the precision of measuring instrument, completed
Tooth pitch is demarcated with transverse tooth thickness；Wherein, normal pitch L0It is two groups of standard balls in the six balls model obtained using standard measuring instruments
Between spacing.
Example 1：For six ball models in embodiment 1, the diameter of six standard balls is identical, and three in every group standard ball
Tangent situation, calibration process are as follows two-by-two：
Step 1：Obtain the radius of each standard ball or diameter parameters and sphere center position parameter in six ball models.
In this step, diameter parameters (or the radius of six ball model Plays balls can be measured by standard measuring instruments
Parameter) or the diameter parameters (or radius parameter) of standard ball that directly mark on reference substrate, so as to easily obtain standard
The radius of ball is R；
Further, after appropriate coordinate system is established, it is known that the sphere centre coordinate of the first standard ball 1 is D (x1,y1,z1),
The sphere centre coordinate of second standard ball 2 is E (x2,y2,z2), the sphere centre coordinate of the second standard ball 3 is F (x3,y3,z3)。
Step 2：Obtain the radius or diameter parameters that ball is surveyed in measuring instrument.
In this step, it surveys the radius of ball in measuring instrument or diameter parameters can be directly from the mating specification of gauge head
It directly obtains, in-site measurement can also be carried out using standard measuring instruments, so as to which the radius for obtaining survey ball is r.
Step 3：According to the data obtained in step 1 and 2, by calculating, ball is surveyed in acquisition and three standard balls in every group are same
When theoretical position parameter when contacting.
In this step, it is assumed that the theoretical position surveyed when ball contacts simultaneously with three standard balls is O, and assume the seat of O points
It is designated as (x0,y0,z0), it waits to ask；
As shown in figure 5, when surveying ball while being contacted with three standard balls, the centre of sphere of shown three standard balls and the ball for surveying ball
The line of the heart may be constructed a triangular pyramid O-DEF, wherein(whereinFor vector field homoemorphism,
Represent the distance between D points and E points, remaining is similar, repeats no more hereinafter),D wherein,
E, the coordinate of F has obtained in the first step, therefore：
Simultaneous solution can obtain the coordinate (x of O points0,y0,z0), it is same so as to obtain survey ball and three standard balls in every group
When theoretical position parameter when contacting.
Step 4：The survey ball of measuring equipment is measured in corresponding three standard balls of theoretical position O, and in addition one
The measuring method of a position is identical, so as to which measuring instrument can obtain the location parameter A and B of two groups of standard balls, and pass through meter respectively
Calculate measurement the spacing parameter L, wherein L=obtained between two groups of standard balls | A-B |, as shown in Figure 6.
Step 5：By the measurement spacing L in step 4 and normal pitch L0It is compared, determines the precision of measuring instrument, it is complete
It is demarcated into tooth pitch and transverse tooth thickness；Wherein, normal pitch L0It is two groups of standards in the six balls model obtained using standard measuring instruments
Normal pitch between ball.
It is simple to the whole process that measuring instrument carries out tooth pitch with transverse tooth thickness is demarcated using six ball models, and utilize three standards
Ball forms the support of 3 points of stabilizations to surveying ball, thus greatly reduces the slippage errors that measuring instrument surveys ball, can effectively carry
The stated accuracy of high tooth pitch and transverse tooth thickness.
From above-mentioned formula as can be seen that surveying theoretical position O points when ball contacts simultaneously with three standard balls in every group
Whether location parameter is only related with the radius R of the radius r of survey ball and standard ball, and tangent unrelated two-by-two between three standard balls,
Therefore be appreciated that and be directed in embodiment 2, when six standard bulb diameters in six ball models are identical, but three standards in every group
When ball phase is from (i.e. mutually nontangential), it is same as Example 1 with calculation formula that measuring instrument carries out the step of tooth pitch is demarcated with transverse tooth thickness.
Example 2：For six ball models in embodiment 3, the diameter of six standard balls differs, but three in every group standard
Ball all tangent situations two-by-two, as shown in fig. 7, its calibration process is as follows：
Step 1：Obtain the radius of each standard ball or diameter parameters and sphere center position parameter in six ball models.
In this step, diameter parameters (or the radius of six ball model Plays balls can be measured by standard measuring instruments
Parameter) or the diameter parameters (or radius parameter) of standard ball that directly mark on reference substrate, so as to easily obtain first
The radius of standard ball is R1, the radius of the second standard ball is R2, the radius of third standard ball is R3(one group of standard is only calculated here
Ball, the computational methods of another group of standard ball are identical).
Further, after appropriate coordinate system is established, it is known that the sphere centre coordinate of the first standard ball 1 is D (x1,y1,z1),
The sphere centre coordinate of second standard ball 2 is E (x2,y2,z2), the sphere centre coordinate of the second standard ball 3 is F (x3,y3,z3)。
Step 2 is identical with above-mentioned steps 2；
Step 3：According to the data obtained in step 1 and 2, by calculating, ball is surveyed in acquisition and three standard balls in every group are same
When theoretical position parameter when contacting.
In this step, it is assumed that the theoretical position surveyed when ball contacts simultaneously with three standard balls is O, and assume the seat of O points
It is designated as (x0,y0,z0), it waits to ask；
As shown in figure 8, when surveying ball while being contacted with three standard balls, the centre of sphere of shown three standard balls and the ball for surveying ball
The line of the heart may be constructed a triangular pyramid O-DEF, wherein AndWherein, the coordinate of D, E, F have obtained in the first step,
Therefore：
Simultaneous solution can obtain the coordinate (x of O points0,y0,z0), it is same so as to obtain survey ball and three standard balls in every group
When theoretical position parameter when contacting.
Step 4, step 5 are identical with above-mentioned steps 4, step 5 respectively, and which is not described herein again.
Similarly, it will be understood that when six standard bulb diameters in six ball models differ, and three in every group standard ball
When mutually from (i.e. mutually nontangential), it is same as Example 2 with calculation formula that measuring instrument carries out the step of tooth pitch is demarcated with transverse tooth thickness.
The above description is merely a specific embodiment, but protection scope of the present invention is not limited thereto, any
Those familiar with the art in the technical scope disclosed by the present invention, can readily occur in change or replacement, should all contain
Lid is within protection scope of the present invention.
Claims (9)
1. a kind of six ball models, which is characterized in that including substrate, six standard balls, six standard balls are divided into two groups, every group
Comprising three standard balls, three standard balls in every group are trapped among together so that surveying ball can be tangent simultaneously with three standard balls, institute
State the both direction that two groups of standard balls are separately fixed at substrate.
2. six balls model according to claim 1, which is characterized in that the substrate is tablet.
3. six balls model according to claim 1, which is characterized in that three standard balls in every group are tangent two-by-two.
4. six balls model according to claim 1, which is characterized in that the diameter of six standard balls is identical.
5. according to any six ball models of claim 1-4, which is characterized in that the precision of the standard ball is not less than gauge head
The upper precision for surveying ball.
6. six balls model according to claim 5, which is characterized in that the precision of the standard ball is higher than survey ball on gauge head
One grade of precision.
7. six balls model according to claim 6, which is characterized in that the standard ball is using ruby or ceramics or glass
Or tungsten carbide material is made.
8. six balls model according to claim 7, which is characterized in that the radius or straight of standard ball is labeled on the substrate
Normal pitch parameter between diameter parameter and two groups of standard balls.
9. a kind of scaling method, is characterized in that, include the following steps：
(1) radius of each standard ball or diameter parameters and sphere center position parameter in six ball models are obtained.
(2) radius or diameter parameters that ball is surveyed in measuring instrument are obtained；
(3) according to the data obtained in step (1) and (2), by calculating three standard balls in acquisition survey ball and every group simultaneously
Theoretical position parameter during contact；
(4) the survey ball of measuring equipment measures three standard balls in respective sets in theoretical position, obtains two respectively
The location parameter A and B of group standard ball, and pass through measurement the spacing parameter L, wherein L=for calculating and obtaining between two groups of standard balls | A-
B|；
(5) by the measurement spacing L in step (4) and normal pitch L0It is compared, determines the precision of measuring instrument, complete tooth pitch
It is demarcated with transverse tooth thickness；Wherein, normal pitch L0It is in the six balls model obtained using standard measuring instruments between two groups of standard balls
Spacing.
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