Some standard content:
National Metrology Technical Specification of the People's Republic of China JJF1209--2008
Calibration Specification for Gear Pitch Measuring Instruments2008-05-23 Issued
2008---11 -23 Implementation
General Administration of Quality Supervision, Inspection and Quarantine
JJE1209-2008
Calibration Specification for Gear Pitch Measuring InstrumentsJJF1209-—-2008
Replaces JJG294--1982
This specification was approved by the General Administration of Quality Supervision, Inspection and Quarantine on May 23, 2008, and came into effect on November 23, 2008.
Responsible unit: National Technical Committee on Geometry and Length Metrology Drafting unit: Harbin First Tool Co., Ltd. Heilongjiang Metrology Verification and Testing Institute
Harbin Metrology Verification and Testing Institute
This specification is entrusted to the National Technical Committee on Geometry and Length Metrology to be responsible for the interpretation of this specification Drafters of this specification:
JJF 1209—2008
Sun Xingfan (Harbin First Tool Co., Ltd.) Li Yuying (Harbin First Engineering Co., Ltd.) Sheng Li (Harbin Metrology Verification and Testing Institute) Ma Jing (Heilongjiang Metrology Verification and Testing Institute).
References
Metrological characteristics
Lower item tip oblique kitchen runout
JJF 1209—2008
Variability of positioning of slide plate for measuring the coaxiality of top center to the center of rotation of spindle
Indication error of micrometer system
Measurement repeatability of single pitch indication
Indication error of instrument measuring cumulative total deviation of pitchVariability of indication when instrument measuring cumulative total deviation of pitch…5 Calibration conditions
Environmental conditions
Calibration items
Calibration method
7.1 Lower item Tilting and circular motion
Variability of positioning of slide plate for measuring the coaxiality of top center to the center of rotation of spindle
Indication error of micrometer system
Measurement repeatability of single pitch indication.
Indication error of instrument measuring cumulative total deviation of pitch7.7
Indication error of instrument measuring cumulative total deviation of pitch Variability of indication when 8
Expression of calibration results
Recalibration time interval
Example of pitch deviation data processing
Appendix A
Appendix B
Appendix C
Recommended requirements for metrological characteristics of some gear pitch measuring instruments+
Calibration of gear pitch measuring instrumentsUncertainty analysis of indication error of cumulative total deviation of measured pitch (relative method)
(2)
(2)
(3)
(4)
(5)
1 Scope
JJF1209-2008
Calibration specification for gear pitch measuring instruments
This specification applies to the calibration of automatic and semi-automatic gear pitch measuring instruments using the relative method. S
2 References
This specification references the following documents
General terms and definitions
JJF1001-1998
Evaluation and expression of measurement uncertainty
JJF10591999
Evaluation of measuring instrument characteristics
JJF1094-200
2001 Involute
|GB/T10095
Tiangui Gear
Part 1
JJG1008
Use this specification
3 Overview
Standard gear inspection
Attention should be paid to the use of the instrument for relative measurement of gear tooth pitch (K tooth pitches)
to obtain the current valid version of other gear
referenced literature.
Use the effective probe structure to compare the deviation of any tooth pitch of the gear being measured (or as the initial value of the tooth pitch, and then compare the other tooth pitches of the gear with K tooth pitches). The measurement principle is shown in Figure 1.
(or K tooth pitches) are compared and measured, so that the
deviation of the initial value of the tooth pitch is obtained by using the circumferential seal characteristic. Relative measurement principle
1 Gear being measured 2—Positioning probe: 3 Movable probe,—Indicator 4 Metrological characteristics
4.1 Oblique runout of lower center
JJF 1209-2008
1.2 Coaxiality of upper center to the rotation center of spindle 4. 3 Variability of positioning of measuring slide
4.4 Indication error of micrometer system
4.5 Measurement repeatability of single tooth pitch indication
Indication error of instrument measuring cumulative total deviation of tooth pitch 4.6
Variability of indication when instrument measuring cumulative total deviation of tooth pitch The recommended requirements for the above metrological characteristics are shown in the appendix for reference during calibration. 5
Calibration conditions
5. 1 Environmental conditions
Temperature: see Table 1.
Excessive gear
Temperature change
Temperature of calibrated instrument and standard instrument
(3~-5) wrinkle
20±2)℃
Humidity: (35%-75%)RH
1℃/h
(6-8) level
520±3) others
Rough and below
(20±5)℃
2℃/h
There should be no vibration, dust, noise, corrosive gas and strong magnetic field that may affect the measurement in the instrument room. Calibration items
Calibration items and calibration standards are shown in Table 2. 2
Calibration items
Oblique circular motion of lower tip
Coaxiality of upper tip to main shaft rotation center Variation of measuring slide positioning
Indication error of micrometer system
Measurement repeatability of single pitch indication
Indication error of instrument measuring cumulative total deviation of pitch only Variation of indication when instrument measures cumulative total deviation of pitch Main standards for calibration
Twisted comparator or micrometer
Twisted comparator, shaft
Torsion spring comparator or measuring instrument, mandrel
3 Equal blocks
Standard gear
Standard gear
Standard gear
7 Calibration method
JIF 1209—2008
Before calibration, it should be confirmed that there are no appearance defects and instrument faults that may affect the correct implementation and results of the calibration, and necessary preparation work should be carried out, such as preheating, adjusting the probe, and zeroing the probe. 7.1 "Oblique circular runout of lower tip
Fix the table stand equipped with a twisting comparator (or micrometer) with a graduation value of 0.5μm or 1um on the instrument base, so that the probe is in vertical contact with the cone surface of the tip at a distance of (5-7)mm from the tip, and rotate the tip for one circle, as shown in Figure 2. The maximum change in the indicated value is the calibration result. 7.2 Coaxiality of the upper tip to the rotation center of the spindle Install 150mm and 300mm mandrels between the two tips respectively, and fix the twisting comparator with a graduation value of 0001mm and the special table stand on the spindle end face disk. The probe of the twisting comparator is in direct contact with the upper end of the mandrel. During calibration, the torsion spring comparator rotates with the spindle, as shown in Figure 3. The maximum change in the indicated value of the torsion tube comparator is the coaxiality. Figure 2 Calibrate the diagonal runout of the lower center
1—lower center, 2 indicator 3—instrument
Figure 3 Calibrate the coaxiality
【—lower center 2 spindle, 3 upper center, 4—torsion gauge, 5—instrument stand 3
7.3 Measuring the variability of the positioning of the slide
JJF1209-2008
Fix the indicator stand equipped with the torsion spring comparator (or micrometer) on the instrument base, and measure the smooth surface. The brick is fixed on the measuring slide table, so that the indicator probe is in vertical contact with the smooth surface measuring drill. The measuring slide reciprocates 10 times as shown in Figure 4. The maximum change in the indicated value is the calibration result ONHSE
Figure 4 Calibration of the variability of the measuring slide positioning
1 Indicator: 2 Meter surface brick: 3-Measuring slide, 4-Radial Qingkang During calibration, the medium speed and fast gear of the medium stroke and long stroke of the measuring slide should be measured respectively. 7.4 Indication error of micrometer system
According to the range of micrometer system, select 3 gauge blocks with corresponding size intervals of not less than 3 points for calibration. First, use the smallest size gauge block to zero, and then use other gauge blocks to calibrate the positive indication error of each point in turn, then use the largest size gauge block to zero, and then use other gauge blocks to calibrate the negative indication error of each point in turn. The indication error of the inspected point is calculated according to the formula: G
Where: n
Point reading value car
The size of the first gauge block!
The actual size of the zero gauge block:
1——The range of the micrometer system during calibration is the car in the positive indication error and the negative indication error. Under the condition of meeting the measurement uncertainty requirements, it is allowed to use other methods for calibration. 7.5 Measurement repeatability of single pitch indication
The measurement repeatability of single pitch indication is characterized by the experimental standard deviation. Install the standard gear on the instrument and measure the same pitch repeatedly. The number of measurements is not less than 10 times, and the repeatability s is calculated using the Bessel formula: Efm-
For instruments measuring gears of level 6 and below, the range method (measurement 5 times) can also be used to calculate the repeatability: JJF12092008
S=fmmt-famimn
7.6 Instrument measurement of the indication error of the cumulative total deviation of the pitch The calibration of the indication error of the cumulative total deviation of the pitch is measured by the standard gear as the standard, and the left and right tooth surfaces are measured on the end plane at the middle position of the dividing cylinder and tooth width of the standard gear. Under the condition of ensuring that there is no interference (the probe diameter is less than), it is advisable to select a probe with a larger diameter. When observed from the upper end face, the tooth sequence starts from tooth No. 1 and is arranged clockwise. The contact points of the two probes with the tooth surface should be located on the same cylindrical surface of the same tooth profile in the middle of the tooth height. The pitch angle of the two probes to the standard gear is 360°. The probes should be symmetrically located on both sides of the gear center line and installed on the same circumference of the pitch circle. After one measurement, the data is processed (refer to Appendix A for the best processing method). After one measurement, the probe is read back to zero. If the probe zero return error is greater than 0., the measurement should be repeated. The difference between the cumulative total deviation of 5 consecutive measurements and the cumulative total deviation of the standard gear pitch is taken as the instrument's cumulative total deviation F. The error of the indicated value of the average value before S
times and the cumulative total deviation of the standard gear pitch is calculated as
1,2.....5
. The larger error of the indicated value of the cumulative total deviation of the pitch of some surfaces is taken as the calibration result. The corresponding level of standard gears should be selected for calibration according to the maximum allowable error of the calibrated instrument. In general, instruments measuring gears of grade 3 to 5 use high-grade standard gears (grade 2 to 4) as standard instruments respectively; instruments measuring gears of grade 6 and below use standard gears of grade 5 (inclusive) and above as standard instruments: the pitch circle diameter of the standard gear is in the range of (50~125) m, and the number of teeth is not less than 36 teeth 7.7. The indication variability of the instrument when measuring the cumulative total deviation of the pitch of the left tooth surface is taken as the calibration result. The maximum difference between the cumulative total deviation of the pitch of the left tooth surface measured by the instrument for 5 times and the maximum difference between the cumulative total deviation of the pitch of the right tooth surface measured for 5 times is taken as the calibration result. 8. Expression of calibration results
After the calibration, the calibration certificate is issued, the measurement uncertainty of the indication error of the calibration result is given, and the uncertainty of the standard instrument and the validity of its traceability are explained. METROLOG
9. Recalibration time interval
The recalibration time is determined by the user. The recommended recalibration time interval is 1 year. The recalibration time interval of frequently used instruments can be shortened appropriately. Appendix A JJF 1209--2(08 Pitch deviation data processing examples See Table A.1 for the data processing method and calculation examples of the relative measurement method. After the readings fa are tabulated, first calculate the average value of the readings, then subtract the average value from the readings f to obtain the pitch deviation fe of the first tooth. The single pitch deviation with the largest absolute value is the single pitch deviation. Starting from tooth No. 1, add the single pitch deviations to obtain the pitch product deviation F of the corresponding tooth. The maximum change of F is the measured value F of the total cumulative pitch deviation. Table A.1 Data processing method and calculation examples of the relative measurement method Tooth sequence The difference relative to the first tooth is below the average value—0,6 Single pitch deviation (fm =fu-f,)—0, 9
fu =± 1 fi 1 3. 0
In example: fa=±1 ar max|=3, 0 μemF, = Fpi max -Fg min = 2. 1 - (—3, 0) = 5. 1 μm6
Pitch integral deviation F
2.,kl, -, n)
F,-Femw -- Famm =5, L
Appendix B
JF 1209—200%
Recommended requirements for metrological characteristics of some gear pitch measuring instruments The recommended requirements for metrological characteristics of some gear pitch measuring instruments are shown in Table B.1 for reference during calibration. Table B, 1 Part of the requirements for the metrological characteristics of gear pitch measuring instruments Instrument type
Oblique runout of the lower center
Coaxiality of the upper center to the spindle rotation center Variability of the positioning of the measuring slide
Indication error of the micrometer system
Repeatability of the measuring plate for single pitch indication
Indication error of the total deviation of the pitch end gauge
Variability of the indication of the cumulative total deviation of the pitch
Flat automatic pitch measuring position
5/150 mm
10/300 mm
Automatic pitch measuring instrument
5/150 mm
10/300rmm
Appendix C
C.1 Overview
JJF1209-2008
Uncertainty analysis of indication error of calibrated gear pitch measuring instrument measuring cumulative total pitch deviation (relative method) In this example, under the conditions recommended by this specification, the 3406 automatic gear measuring instrument (hereinafter referred to as the instrument) is calibrated using module m=2, Z=36, and grade 2 precision standard gears to analyze the uncertainty of indication error of measured gear pitch cumulative total deviation.
C.2 Mathematical model
The indication error △F of the instrument measuring the gear pitch cumulative deviation is: above
The calibrated instrument obtains the cumulative total pitch deviation of the standard gear. Formula: F
F is the cumulative total pitch deviation of the calibration standard gear. C3 Variance and sensitivity according to the uncertainty propagation law formula (AF) =.F+·u (Fstandard) C.4 Standard uncertainty list (Table C.1D) Table C. Standard uncertainty list Standard uncertainty u (Fm eu (Fpe) Source of uncertainty Degree value
Standard accuracy
Instrument measurement of gear tooth cumulative deviation
Difference reading value
METROLOEY
Total cumulative deviation of gear teeth
Environmental and adjustment influence
Temperature change
Incorrect adjustment of the two measuring heads
Eccentricity of installation
Total cumulative deviation of standard gear tooth pitch
(um）6. Instrument measurement of the error of the indication of the cumulative total deviation of the pitch. The calibration of the error of the indication of the cumulative total deviation of the pitch is performed using a standard gear as a standard. The left and right tooth surfaces are measured on the end plane of the middle position of the pitch cylinder and tooth width of the standard gear. Under the condition that no interference occurs (the probe diameter is less than), it is advisable to select a probe with a larger diameter. When observed from the upper end face, the tooth sequence starts from tooth No. 1 and is arranged clockwise. The contact points of the two probes with the tooth surface should be located on the same cylindrical surface of the same tooth profile in the middle of the tooth height. The two probes are connected to the standard gear. The pitch angle = 360°
The probes should be symmetrically located on both sides of the center line of the gear and installed
on the same circumference at the pitch circle. After one measurement, the data is processed (refer to Appendix A for the best processing method). After one measurement, the probe is read back to zero. If the probe zeroing error is greater than 0., the measurement should be repeated. The difference of
F on the cumulative total deviation of 5 consecutive measurements is taken as the cumulative total deviation F of the instrument. The indication error of the average value before SbZxz.net
times and the cumulative total deviation of the standard gear pitch is calculated as
1,2.....5
. The larger indication error of the cumulative total deviation of the pitch of some surfaces is taken as the calibration result. The corresponding level of standard gears should be selected for calibration according to the maximum allowable error of the calibrated instrument. In general, instruments measuring gears of levels 3 to 5 use high-level standard gears (levels 2 to 4) as standards: instruments measuring gears of levels 6 and below use standard gears of levels 5 (inclusive) and above as standards: the pitch circle diameter of the standard push gear is in the (50~125) m range, and the number of teeth is not less than 36 teeth 7.7. The indication variability of the instrument when measuring the cumulative total deviation of the pitch is taken as the cumulative total deviation F of the tooth surface pitch after the instrument measures 5 consecutive times. The maximum difference between the maximum difference of the right tooth pitch and the maximum difference of the accumulated total deviation of the right tooth pitch measured 5 times in a row is taken as the calibration result. 8 Expression of calibration result
After calibration, the gear measuring instrument shall be issued with a calibration certificate, giving the measurement uncertainty of the indication error at the calibration result, and stating the uncertainty of the standard instrument and the validity of its traceability. METROLOG
9 Recalibration time interval
The recalibration time is determined by the user. The recommended recalibration time interval is 1 year. The recalibration time interval of frequently used instruments can be shortened appropriately. Appendix A JJF 1209--2(08 Pitch deviation data processing examples See Table A.1 for the data processing method and calculation examples of the relative measurement method. After the readings fa are tabulated, first calculate the average value of the readings, then subtract the average value from the readings f to obtain the pitch deviation fe of the first tooth. The single pitch deviation with the largest absolute value is the single pitch deviation. Starting from tooth No. 1, add the single pitch deviations to obtain the pitch product deviation F of the corresponding tooth. The maximum change of F is the measured value F of the total cumulative pitch deviation. Table A.1 Data processing method and calculation examples of the relative measurement method Tooth sequence The difference relative to the first tooth is below the average value—0,6 Single pitch deviation (fm =fu-f,)—0, 9
fu =± 1 fi 1 3. 0
In example: fa=±1 ar max|=3, 0 μemF, = Fpi max -Fg min = 2. 1 - (—3, 0) = 5. 1 μm6
Pitch integral deviation F
2.,kl, -, n)
F,-Femw -- Famm =5, L
Appendix B
JF 1209—200%
Recommended requirements for metrological characteristics of some gear pitch measuring instruments The recommended requirements for metrological characteristics of some gear pitch measuring instruments are shown in Table B.1 for reference during calibration. Table B, 1 Part of the requirements for the metrological characteristics of gear pitch measuring instruments Instrument type
Oblique runout of the lower center
Coaxiality of the upper center to the spindle rotation center Variability of the positioning of the measuring slide
Indication error of the micrometer system
Repeatability of the measuring plate for single pitch indication
Indication error of the total deviation of the pitch end gauge
Variability of the indication of the cumulative total deviation of the pitch
Flat automatic pitch measuring position
5/150 mm
10/300 mm
Automatic pitch measuring instrument
5/150 mm
10/300rmm
Appendix C
C.1 Overview
JJF1209-2008
Uncertainty analysis of indication error of calibrated gear pitch measuring instrument measuring cumulative total pitch deviation (relative method) In this example, under the conditions recommended by this specification, the 3406 automatic gear measuring instrument (hereinafter referred to as the instrument) is calibrated using module m=2, Z=36, and grade 2 precision standard gears to analyze the uncertainty of indication error of measured gear pitch cumulative total deviation.
C.2 Mathematical model
The indication error △F of the instrument measuring the gear pitch cumulative deviation is: above
The calibrated instrument obtains the cumulative total pitch deviation of the standard gear. Formula: F
F is the cumulative total pitch deviation of the calibration standard gear. C3 Variance and sensitivity according to the uncertainty propagation law formula (AF) =.F+·u (Fstandard) C.4 Standard uncertainty list (Table C.1D) Table C. Standard uncertainty list Standard uncertainty u (Fm eu (Fpe) Source of uncertainty Degree value
Standard accuracy
Instrument measurement of gear tooth cumulative deviation
Difference reading value
METROLOEY
Total cumulative deviation of gear teeth
Environmental and adjustment influence
Temperature change
Incorrect adjustment of the two measuring heads
Eccentricity of installation
Total cumulative deviation of standard gear tooth pitch
(um）6. Instrument measurement of the error of the indication of the cumulative total deviation of the pitch. The calibration of the error of the indication of the cumulative total deviation of the pitch is performed using a standard gear as a standard. The left and right tooth surfaces are measured on the end plane of the middle position of the pitch cylinder and tooth width of the standard gear. Under the condition that no interference occurs (the probe diameter is less than), it is advisable to select a probe with a larger diameter. When observed from the upper end face, the tooth sequence starts from tooth No. 1 and is arranged clockwise. The contact points of the two probes with the tooth surface should be located on the same cylindrical surface of the same tooth profile in the middle of the tooth height. The two probes are connected to the standard gear. The pitch angle = 360°
The probes should be symmetrically located on both sides of the center line of the gear and installed
on the same circumference at the pitch circle. After one measurement, the data is processed (refer to Appendix A for the best processing method). After one measurement, the probe is read back to zero. If the probe zeroing error is greater than 0., the measurement should be repeated. The difference of
F on the cumulative total deviation of 5 consecutive measurements is taken as the cumulative total deviation F of the instrument. The indication error of the average value before S
times and the cumulative total deviation of the standard gear pitch is calculated as
1,2.....5
. The larger indication error of the cumulative total deviation of the pitch of some surfaces is taken as the calibration result. The corresponding level of standard gears should be selected for calibration according to the maximum allowable error of the calibrated instrument. In general, instruments measuring gears of levels 3 to 5 use high-level standard gears (levels 2 to 4) as standards: instruments measuring gears of levels 6 and below use standard gears of levels 5 (inclusive) and above as standards: the pitch circle diameter of the standard push gear is in the (50~125) m range, and the number of teeth is not less than 36 teeth 7.7. The indication variability of the instrument when measuring the cumulative total deviation of the pitch is taken as the cumulative total deviation F of the tooth surface pitch after the instrument measures 5 consecutive times. The maximum difference between the maximum difference of the right tooth pitch and the maximum difference of the accumulated total deviation of the right tooth pitch measured 5 times in a row is taken as the calibration result. 8 Expression of calibration result
After calibration, the gear measuring instrument shall be issued with a calibration certificate, giving the measurement uncertainty of the indication error at the calibration result, and stating the uncertainty of the standard instrument and the validity of its traceability. METROLOG
9 Recalibration time interval
The recalibration time is determined by the user. The recommended recalibration time interval is 1 year. The recalibration time interval of frequently used instruments can be shortened appropriately. Appendix A JJF 1209--2(08 Pitch deviation data processing examples See Table A.1 for the data processing method and calculation examples of the relative measurement method. After the readings fa are tabulated, first calculate the average value of the readings, then subtract the average value from the readings f to obtain the pitch deviation fe of the first tooth. The single pitch deviation with the largest absolute value is the single pitch deviation. Starting from tooth No. 1, add the single pitch deviations to obtain the pitch product deviation F of the corresponding tooth. The maximum change of F is the measured value F of the total cumulative pitch deviation. Table A.1 Data processing method and calculation examples of the relative measurement method Tooth sequence The difference relative to the first tooth is below the average value—0,6 Single pitch deviation (fm =fu-f,)—0, 9
fu =± 1 fi 1 3. 0
In example: fa=±1 ar max|=3, 0 μemF, = Fpi max -Fg min = 2. 1 - (—3, 0) = 5. 1 μm6
Pitch integral deviation F
2.,kl, -, n)
F,-Femw -- Famm =5, L
Appendix B
JF 1209—200%
Recommended requirements for metrological characteristics of some gear pitch measuring instruments The recommended requirements for metrological characteristics of some gear pitch measuring instruments are shown in Table B.1 for reference during calibration. Table B, 1 Part of the requirements for the metrological characteristics of gear pitch measuring instruments Instrument type
Oblique runout of the lower center
Coaxiality of the upper center to the spindle rotation center Variability of the positioning of the measuring slide
Indication error of the micrometer system
Repeatability of the measuring plate for single pitch indication
Indication error of the total deviation of the pitch end gauge
Variability of the indication of the cumulative total deviation of the pitch
Flat automatic pitch measuring position
5/150 mm
10/300 mm
Automatic pitch measuring instrument
5/150 mm
10/300rmm
Appendix C
C.1 Overview
JJF1209-2008
Uncertainty analysis of indication error of calibrated gear pitch measuring instrument measuring cumulative total pitch deviation (relative method) In this example, under the conditions recommended by this specification, the 3406 automatic gear measuring instrument (hereinafter referred to as the instrument) is calibrated using module m=2, Z=36, and grade 2 precision standard gears to analyze the uncertainty of indication error of measured gear pitch cumulative total deviation.
C.2 Mathematical model
The indication error △F of the instrument measuring the gear pitch cumulative deviation is: above
The calibrated instrument obtains the cumulative total pitch deviation of the standard gear. Formula: F
F is the cumulative total pitch deviation of the calibration standard gear. C3 Variance and sensitivity according to the uncertainty propagation law formula (AF) =.F+·u (Fstandard) C.4 Standard uncertainty list (Table C.1D) Table C. Standard uncertainty list Standard uncertainty u (Fm eu (Fpe) Source of uncertainty Degree value
Standard accuracy
Instrument measurement of gear tooth cumulative deviation
Difference reading value
METROLOEY
Total cumulative deviation of gear teeth
Environmental and adjustment influence
Temperature change
Incorrect adjustment of the two measuring heads
Eccentricity of installation
Total cumulative deviation of standard gear tooth pitch
(um）1 μm6
Tooth pitch integral deviation F
2.,kl, -, n)
F,-Femw -- Famm =5, L
Appendix B
JF 1209—200%
Recommended requirements for metrological characteristics of some gear pitch measuring instruments The recommended requirements for metrological characteristics of some gear pitch measuring instruments are shown in Table B.1 for reference during calibration. Table B, 1 Part of the requirements for the metrological characteristics of gear pitch measuring instruments Instrument type
Oblique runout of the lower center
Coaxiality of the upper center to the spindle rotation center Variability of the positioning of the measuring slide
Indication error of the micrometer system
Repeatability of the measuring plate for single pitch indication
Indication error of the total deviation of the pitch end gauge
Variability of the indication of the cumulative total deviation of the pitch
Flat automatic pitch measuring position
5/150 mm
10/300 mm
Automatic pitch measuring instrument
5/150 mm
10/300rmm
Appendix C
C.1 Overview
JJF1209-2008
Uncertainty analysis of indication error of calibrated gear pitch measuring instrument measuring cumulative total pitch deviation (relative method) In this example, under the conditions recommended by this specification, the 3406 automatic gear measuring instrument (hereinafter referred to as the instrument) is calibrated using module m=2, Z=36, and grade 2 precision standard gears to analyze the uncertainty of indication error of measured gear pitch cumulative total deviation.
C.2 Mathematical model
The indication error △F of the instrument measuring the gear pitch cumulative deviation is: above
The calibrated instrument obtains the cumulative total pitch deviation of the standard gear. Formula: F
F is the cumulative total pitch deviation of the calibration standard gear. C3 Variance and sensitivity according to the uncertainty propagation law formula (AF) =.F+·u (Fstandard) C.4 Standard uncertainty list (Table C.1D) Table C. Standard uncertainty list Standard uncertainty u (Fm eu (Fpe) Source of uncertainty Degree value
Standard accuracy
Instrument measurement of gear tooth cumulative deviation
Difference reading value
METROLOEY
Total cumulative deviation of gear teeth
Environmental and adjustment influence
Temperature change
Incorrect adjustment of the two measuring heads
Eccentricity of installation
Total cumulative deviation of standard gear tooth pitch
(um）1 μm6
Tooth pitch integral deviation F
2.,kl, -, n)
F,-Femw -- Famm =5, L
Appendix B
JF 1209—200%
Recommended requirements for metrological characteristics of some gear pitch measuring instruments The recommended requirements for metrological characteristics of some gear pitch measuring instruments are shown in Table B.1 for reference during calibration. Table B, 1 Part of the requirements for the metrological characteristics of gear pitch measuring instruments Instrument type
Oblique runout of the lower center
Coaxiality of the upper center to the spindle rotation center Variability of the positioning of the measuring slide
Indication error of the micrometer system
Repeatability of the measuring plate for single pitch indication
Indication error of the total deviation of the pitch end gauge
Variability of the indication of the cumulative total deviation of the pitch
Flat automatic pitch measuring position
5/150 mm
10/300 mm
Automatic pitch measuring instrument
5/150 mm
10/300rmm
Appendix C
C.1 Overview
JJF1209-2008
Uncertainty analysis of indication error of calibrated gear pitch measuring instrument measuring cumulative total pitch deviation (relative method) In this example, under the conditions recommended by this specification, the 3406 automatic gear measuring instrument (hereinafter referred to as the instrument) is calibrated using module m=2, Z=36, and grade 2 precision standard gears to analyze the uncertainty of indication error of measured gear pitch cumulative total deviation.
C.2 Mathematical model
The indication error △F of the instrument measuring the gear pitch cumulative deviation is: above
The calibrated instrument obtains the cumulative total pitch deviation of the standard gear. Formula: F
F is the cumulative total pitch deviation of the calibration standard gear. C3 Variance and sensitivity according to the uncertainty propagation law formula (AF) =.F+·u (Fstandard) C.4 Standard uncertainty list (Table C.1D) Table C. Standard uncertainty list Standard uncertainty u (Fm eu (Fpe) Source of uncertainty Degree value
Standard accuracy
Instrument measurement of gear tooth cumulative deviation
Difference reading value
METROLOEY
Total cumulative deviation of gear teeth
Environmental and adjustment influence
Temperature change
Incorrect adjustment of the two measuring heads
Eccentricity of installation
Total cumulative deviation of standard gear tooth pitch
(um）
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