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GB/T 10089-2018: Accuracy of cylindrical worm and worm wheel
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Basic data | Standard ID | GB/T 10089-2018 (GB/T10089-2018) | | Description (Translated English) | Accuracy of cylindrical worm and worm wheel | | Sector / Industry | National Standard (Recommended) | | Classification of Chinese Standard | J17 | | Classification of International Standard | 21.200 | | Word Count Estimation | 23,277 | | Date of Issue | 2018-05-14 | | Date of Implementation | 2018-12-01 | | Older Standard (superseded by this standard) | GB/T 10089-1988 | | Regulation (derived from) | National Standards Announcement No. 6 of 2018 | | Issuing agency(ies) | State Administration for Market Regulation, China National Standardization Administration | GB/T 10089-2018: Accuracy of cylindrical worm and worm wheel---This is a DRAFT version for illustration, not a final translation. Full copy of true-PDF in English version (including equations, symbols, images, flow-chart, tables, and figures etc.) will be manually/carefully translated upon your order.
Accuracy of cylindrical worm and wormwheel
ICS 21.200
J17
National Standards of People's Republic of China
Replace GB/T 10089-1988
Cylindrical worm and worm gear accuracy
Published on.2018-05-14
2018-12-01 implementation
State market supervision and administration
China National Standardization Administration issued
Foreword
This standard was drafted in accordance with the rules given in GB/T 1.1-2009.
This standard replaces GB/T 10089-1988 "Cylinder worm, worm gear accuracy".
Compared with GB/T 10089-1988, the main changes of this standard are as follows.
--- Added standard preface;
--- Revised the scope of application of the standard (see Chapter 1, Chapter 1 of the 1988 edition);
--- Removed references to GB/T 1800, GB/T 10086 and GB/T 10087, added reference to GB/T 3374.2 (see section
Chapter 2, Chapter 2 of the 1988 edition);
---Modified the term definition and code of the worm and worm gear tooth size parameter deviation, which removes the worm-rotation spiral deviation, worm
Accumulated deviation of axial pitch, accumulated deviation of k pitch of worm wheel, radial deviation of worm wheel, deviation of tooth thickness, center distance of worm pair
Deviation, intermediate plane offset of the worm pair, deviation of the shaft angle of the worm pair, and the definition and code of the lash of the worm pair
Definitions and codes for terms of adjacent pitch deviations (see Chapter 3, Chapter 3 of the 1988 edition);
--- Added the chapter "Symbols" (see Chapter 4);
--- Revised the requirements for the composition of the precision system, etc., which removed the provisions on the tolerance group (see Chapter 5, 1988 edition)
Chapter 4);
--- Removed the requirements for the tooth blank (Chapter 5 of the 1988 edition);
--- Modified the formula for calculating the allowable value of the deviation (see Chapter 6, Appendix A of the 1988 edition);
--- Added the chapter "Inspection Rules" (see Chapter 7);
--- Modified the parameter segmentation and value in the deviation allowable value table (see Chapter 8, Chapter 6 of the 1988 edition);
--- Removed the center distance deviation of the worm pair, the intermediate plane offset of the worm pair, the deviation of the shaft angle of the worm pair, and the backlash of the worm pair
Requirements (see Chapters 7 and 8 of the 1988 edition);
--- Removed the requirements for other instructions and graphic annotations (see Chapters 9, 10 of the 1988 edition).
Please note that some of the contents of this document may involve patents. The issuing organization of this document is not responsible for identifying these patents.
This standard is proposed and managed by the National Gear Standardization Technical Committee (SAC/TC52).
This standard was drafted. Chongqing Machine Tool (Group) Co., Ltd., Zhengzhou Machinery Research Institute Co., Ltd., Beijing University of Technology.
The main drafters of this standard. Li Xianguang, Li Yi, Yu Kebin, Zhang Yuanguo, Shi Zhaoyao, Zhang Liang, Long Lin, Li Mingyu, Xie Xiaoqing, Li Wu,
Huang Guangrong, Wang Zhigang, and the army.
The previous versions of the standards replaced by this standard are.
---GB/T 10089-1988.
Cylindrical worm and worm gear accuracy
1 Scope
This standard specifies the accuracy of the cylindrical worm gear drive mechanism.
This standard is applicable to cylindrical worms with shaft angle of intersection S=90°, maximum modulus m=40 mm and maximum division circle diameter d=2500 mm.
Worm gear drive mechanism. The cylindrical worm and worm gear transmission mechanism with the largest indexing circle diameter d >2500mm can be used with reference to this standard.
2 Normative references
The following documents are indispensable for the application of this document. For dated references, only dated versions apply to this article.
Pieces. For undated references, the latest edition (including all amendments) applies to this document.
GB/T 3374.2 Terms and definitions of gears - Part 2. Definition of worm gear geometry
3 Terms and definitions
The following terms and definitions as defined in GB/T 3374.2 apply to this document.
3.1 Worm deviation
3.1.1
Tooth profile total deviation totalprofiledeviation
Fα1
In the range of the axial section Lα1 (working range of the tooth profile), the axis between the two design tooth profiles that contain the actual tooth profile trace
To the distance. An example is shown in Figure 1.
Figure 1 Total tooth profile deviation Fα1 in the axial section of the ZC worm
In the tooth profile inspection diagram (see Figure 2), the total tooth profile deviation Fα1 is the distance between the two design tooth profile traces (perpendicular to the design tooth profile trace)
measuring).
Note. In Figure 2, the design of the tooth profile and the flank shape A, N, I, K and C of the worm are independent and marked with a straight line, and the actual tooth profile is included in the drawn range.
Fig. 2 Profile inspection diagram in the range of evaluation Lα1
3.1.2
Tooth profile deviation profileformdeviation
Ffα1
In the range of the axial section Lα1, the distance between the two auxiliary lines that are parallel to the average tooth profile trace that encompasses the actual tooth profile trace
(Vertically perpendicular to the design profile trace, see Figure 2).
Note. This standard does not give the allowable value of the tooth profile deviation ffα1.
3.1.3
Tooth profile tilt deviation profileslopedeviation
fHα1
The distance between two auxiliary lines parallel to the design tooth profile trace intersecting the average tooth profile trace within the range of the axial section Lα1
Off (see Figure 2).
Note. This standard does not give the allowable value of the tooth profile tilt deviation fHα1.
3.1.4
Axial pitch deviation axialpitchdeviation
Fpx
The difference between the actual pitch and the nominal pitch in the axial section of the worm.
3.1.5
Adjacent axial pitch deviation adjacentaxialpitchdeviation
Fux
The difference between two adjacent pitches in the axial section of the worm.
3.1.6
Radial runout deviation radialrun-outdeviation
Fr1
In the range of any rotation of the worm, the probe is in double contact with the tooth surface of the middle portion of the tooth height in the tooth groove, and the probe is opposite to the main axis of the worm.
Radial maximum variation.
Note. The radial runout deviation is the distance and cross angle between the worm's dominant axis determined by the axis of the midpoint cylindrical surface of the worm gear teeth and the position of the worm bearing.
Into.
3.1.7
Lead deviation
Fpz
The difference between the actual size of the worm lead and the nominal size.
3.2 Worm wheel deviation
3.2.1
Single pitch deviation singlepitchdeviation
Fp2
On the worm wheel indexing circle, the difference between the actual pitch and the nominal pitch.
When measured by the relative method, the nominal pitch is the average of all actual pitches.
Note. When the actual pitch is greater than the average, it is a positive deviation; when the actual pitch is less than the average, it is a negative deviation.
3.2.2
Pitch cumulative total deviation totalcumulativepitchdeviation
Fp2
The maximum absolute value of the difference between the actual arc length and the nominal arc length between any two ipsilateral tooth faces on the worm wheel indexing circle.
3.2.3
Adjacent pitch deviation adjacentpitchdeviation
Fu2
The difference between the actual dimensions of two adjacent pitches of the right or left flank of the worm gear.
3.2.4
Tooth profile total deviation totalprofiledeviation
Fα2
Within the range of the given section of the tooth tooth, the distance between the two design tooth profile traces of the actual tooth profile trace is accommodated.
3.2.5
Radial runout deviation radialrun-outdeviation
Fr2
In the range of one revolution of the worm wheel, the probe is in double-sided contact with the tooth surface of the middle portion of the tooth height in the tooth groove close to the intermediate plane, and the probe is opposite to the worm wheel
The maximum amount of variation in the radial distance of the axis.
Note. The radial runout deviation is caused by the eccentricity of the teeth and the unevenness of the tooth gap due to the deviation of the pitch of the right and left flank surfaces.
Caused by the offset (eccentricity) of the dominant axis.
3.3 Meshing deviation
3.3.1
Single-sided meshing deviation single-flankenagementdeviation
F'i
The actual rotational position of the worm wheel and the fluctuation of the theoretical rotational position. The theoretical rotational position is determined by the rotation of the worm. When the direction of rotation is true
Timing (left side flank engagement or right flank engagement), single-sided engagement deviation is equal to the maximum relative to the starting position within one revolution of the worm gear
The sum of the deviations (see Figure 3).
Note. The one-sided meshing deviations F'i1 and F'i2 are measured with a standard worm gear or a standard worm. If there is no standard worm gear and standard worm, use pairing
The worm gear pair has a single-face meshing deviation of F'i12.
Figure 3 Single-sided meshing deviation F'i and single-sided one-tooth meshing deviation f'i when the worm wheel rotates
3.3.2
One-sided one-tooth engagement deviation tooth-to-toothsingle-flankengagementdeviation
F'i
Deviation of the rotational position during a tooth engagement (see Figure 3).
Note. One-sided one-tooth engagement deviations f'i1 and f'i2 are measured with a standard worm gear or a standard worm. If there is no standard worm gear and standard worm, use
The paired worm gear pair has a one-to-one tooth engagement deviation of f'i12.
3.3.3
Worm pair contact spot wormgearingengagementpattern
In the installed worm pair, the contact marks distributed on the tooth surface of the worm wheel after the worm and the worm wheel mesh with each other under slight force braking.
Note. Contact spots are indicated by the size, shape and location of the contact area (see Figure 4).
The size of the contact area is determined by the percentage of contact marks.
The percentage along the length of the tooth - the ratio of the length b" of the contact mark to the working length b', ie (b"/b') ́100% (in determining the length of the contact trace b", it should be deducted
Except for the disconnected part of the modulo value);
The percentage of the ratio of the average height h" of the contact marks to the working height h' in the direction of the tooth height, that is, (h"/h') ́100%.
The contact shape is determined by the state of the total geometry of the flank contact marks.
The contact position is determined by the position of the contact mark from the tooth face, the pinch end or the crest, and the root.
Figure 4 Contact spots of the worm pair
4 symbol
The following symbols apply to this document.
4.1 Parameters of worm and worm gear (length unit. mm)
a center distance
b' Working length of the worm pair contact surface
b′′ length of the worm pair contact mark
D1 worm indexing circle diameter
D2 worm wheel indexing circle diameter
h' Working height of the worm pair contact surface
h′′ average height of worm pair contact marks
l Worm measuring length
Mx worm axial modulus
Mt worm gear end modulus
Z1 number of worm heads
Z2 worm gear number
Lα tooth profile range
φ precision level between levels
S-axis angle
4.2 Deviation of worm and worm gear (unit. micron)
f single deviation
Ffα tooth profile deviation
Ffα1 worm tooth profile deviation
Ffα2 worm gear profile deviation
fHα tooth profile tilt deviation
fHα1 worm tooth profile tilt deviation
fHα2 worm gear tooth profile tilt deviation
F'i single-sided one-tooth meshing deviation
F'i1 single-sided one-tooth meshing deviation measured with a standard worm gear
F'i2 single-sided one-tooth meshing deviation measured with a standard worm
F'i12 One-to-one tooth offset deviation measured with a paired worm pair
Fp single pitch deviation
Fpx worm axial pitch deviation
Fp2 worm gear single pitch deviation
Fu adjacent tooth pitch deviation
Fux worm adjacent axial pitch deviation
Fu2 worm gear adjacent tooth pitch deviation
F total deviation
F'i single-sided meshing deviation
F'i1 single-sided meshing deviation measured with a standard worm gear
F'i2 single-sided meshing deviation measured with a standard worm
F'i12 single-sided meshing deviation measured with paired worm pair
Fpz worm lead deviation
Fp2 worm gear pitch cumulative total deviation
Fr radial runout deviation
Fr1 worm radial runout deviation
Fr2 worm gear radial runout deviation
Fα tooth profile total deviation
Fα1 worm tooth profile total deviation
Fα2 worm gear total deviation
5 precision system
5.1 General
In order to meet all the performance requirements of the worm and worm gear transmission, such as the smoothness of the transmission, the uniformity of the load distribution, and the accuracy of the transmission movement
Sex and long service life, the deviation of the tooth size parameters of the worm and the worm gear and the deviation of the center distance and the deviation of the shaft angle should be guaranteed.
Within the range of values.
Note. The allowable values of the center distance deviation and the shaft angle deviation are not specified in this standard.
5.2 Deviation of gear tooth size parameters
The single deviation f refers to the deviation of the single-item size parameter of the worm-gear transmission mechanism gear, such as the pitch deviation. Total deviation F includes more
The combined effect of individual deviations. The definition of the tooth size parameter deviation of the worm gear mechanism is given in Chapter 3.
5.3 Accuracy level
This standard specifies 12 accuracy grades for the worm and worm gear transmission; the first stage has the highest accuracy and the 12th level has the lowest accuracy.
Depending on the requirements of use, it is permissible to use a combination of deviations of different accuracy levels.
The accuracy levels of the worm and the paired worm gear are generally taken to be the same, and are also allowed to be made different. Steel worms with high hardness and soft material
Among the transmission mechanisms composed of the worm wheel, a worm having a higher accuracy level than the worm wheel can be selected, and the accuracy of the worm wheel can be improved during the running-in period. Such as a worm
You can choose 8 levels of precision, and the worm wheel selects 9 levels of accuracy.
5.4 Allowable value of deviation
The measured deviation is compared with the values specified in Tables 1 to 12 to evaluate the accuracy level of the worm gear. The values in the table are
It is calculated by multiplying the formula specified in the sixth grade in Chapter 6 by the inter-stage common ratio φ.
The inter-stage common ratio φ of two adjacent precision levels is. φ = 1.4 (1~9 accuracy); φ = 1.6 (9 precision below); radial runout deviation
The common ratio of Fr is φ=1.4 (1~12 precision).
For example, when calculating the deviation allowable value of the 7-level precision, the uncorrected calculated value of the 5-level precision is multiplied by 1.42, and then specified in 5.5.
Rules to repair.
5.5 Revision rules
The values listed in Tables 1 to 12 are the values calculated and corrected by the formula in Chapter 6. If the calculated value is less than 10μm, repair to
The closest fraction or integer with a phase difference of less than 0.5 μm, if greater than 10 μm, is rounded to the nearest integer.
6 5-level precision worm and worm gear deviation allowable value calculation formula
6.1 Calculation formula for single pitch deviation fp.
Fp=4 0.315·(mx 0.25· d)
6.2 Calculation formula of adjacent pitch deviation fu.
Fu=5 0.4·(mx 0.25· d)
6.3 Calculation formula of lead deviation Fpz.
Fpz=4 0.5·z1 5·
Z1·(lgmx)2
6.4 Calculating formula of total pitch deviation Fp2.
Fp2=7.25·d2
5·mx
6.5 Calculation formula for the total deviation Fα of the tooth profile.
Fα= (fHα)2 (ffα)2
6.6 Calculation formula of tooth profile inclination deviation fHα.
fHα=2.5 0.25·(mx 3· mx)
6.7 Calculation formula of tooth profile deviation ffα.
Ffα=1.5 0.25·(mx 9· mx)
6.8 Calculation formula of radial runout deviation Fr.
Fr=1.68 2.18· mx (2.3 1.2lgmx)·d
6.9 Calculation formula for single-sided meshing deviation F'i.
F'i=5.8·d
5·mx
7 0.8·Fα
6.10 Calculation formula for single-tooth-tooth engagement deviation f'i.
F'i=0.7·(fp Fα)
6.11 The values of the parameters mx, d and z1 in the formula are the geometric mean of the segmentation limits of each parameter; the units of mx and d in the formula are
For mm, the unit of deviation allowable value is μm; when the number of worm heads in the formula is z1 >6, the average number z1=8.5 is calculated; the worm and worm gear in the formula
The modulus is mx=mt; when calculating the allowable values of Fα, F'i and f'i, the values after the rounding should be calculated by taking fHα, ffα, Fα and fp.
7 Inspection rules
7.1 Radial runout deviation
Worm gear. The intermediate position of the tooth width of the worm wheel indexing circle should be measured.
Worm. Generally, the radial runout deviation value is obtained by indirectly measuring the pitch variation.
7.2 Single pitch deviation and adjacent pitch deviation
Worm gear. The intermediate position of the tooth width of the worm wheel indexing circle should be measured.
Worm. The axial pitch deviation is measured on the indexing cylindrical surface. The multi-head worm also measures other axial sections until the deviation of all the teeth of the worm is obtained.
7.3 Total deviation of pitch accumulation
Worm gear. The intermediate position of the tooth width of the worm wheel indexing circle should be measured.
7.4 Single-face meshing deviation and single-sided one-tooth meshing deviation
The single-sided meshing test reflects the comprehensive influence of the deviation of the individual parameters of the gear teeth during the meshing process of the worm and the worm gear on the meshing process. Worm and worm
The wheel meshes within a given center distance, and the right or left flank of the worm is always in mesh with the worm gear mating surface, if not fixed
For the working tooth surface, the right flank and the left flank must be detected.
The one-sided meshing deviation F'i and the one-sided one-tooth meshing deviation f'i are checked using a standard worm gear wheel pair. Generally there is no standard worm
Wheel sets, in the enterprise generally use a single-sided meshing detector to check the paired worm gear pair. If there is no single-sided meshing test in the enterprise
The single-sided meshing detector can also check the contact spots of the paired worm gear pair. See Appendix A for the requirements.
7.5 Total tooth profile deviation
The total deviation of the tooth profile should be measured in the range of the root circle and the tip circle. Measuring the total deviation of the tooth profile in the axial section of the worm, flattening in the middle of the worm wheel
The total deviation of the tooth profile was measured in-plane.
7.6 lead deviation
The lead deviation is measured within the measured length l within the meshing range of the worm. For the measurement length, refer to Tables 1 to 12. Worm
The actual meshing length of the rod is less than the specified measuring length l, and the worm lead deviation Fpz is measured directly according to the actual meshing length.
8 Allowable values of tooth size parameter deviation
Worm worm gear tooth size parameter deviation The allowable values of each precision grade are shown in Table 1~ Table 12. The values in the table and the worm axial modulus mx,
The worm wheel end face modulus mt, the index circle diameter d, and the number of worm heads z1 are related. When measuring the deviation of the worm, the diameter of the worm index circle d1 is used.
The worm wheel index circle diameter d2 is used when the worm wheel is deviated.
For the deviation allowable value of the single-sided meshing deviation F'i of the worm pair and the one-tooth-tooth-tooth meshing deviation f'i, the calculation formula is.
F'i= (F'i1)2 (F'i2)2
F'i= (f'i1)2 (f'i2)2
Table 1 The allowable value of the 1st grade precision tooth deviation is in microns.
Modulus
m(mt,mx)/
Mm
Deviation index circle diameter d/mm
Fα
>10
~50
>50
~125
>125
~280
>280
~560
>560
~1000
>1000
~1600
>1600
~2500
>0.5
~2.0
1.5
Fu 1.5 1.5 2.0 2.0 2.0 2.5 2.5
Fp 1.0 1.5 1.5 1.5 1.5 2.0 2.0
Fp2 3.5 4.5 5.5 6.0 7.0 8.0 8.5
Fr 2.5 3.0 3.0 3.5 4.0 4.5 5.0
F'i 4.0 4.5 5.5 6.0 7.0 7.5 8.0
F'i 2.0 2.0 2.0 2.0 2.0 2.5 2.5
>2.0
~3.55
2.0
Fu 1.5 2.0 2.0 2.0 2.5 2.5 3.0
Fp 1.5 1.5 1.5 1.5 2.0 2.0 2.0
Fp2 4.0 5.0 6.0 7.5 8.0 9.0 10.0
Fr 3.0 3.5 4.0 4.5 5.0 5.5 6.0
F'i 4.5 5.5 6.5 7.5 8.0 9.0 9.5
F'i 2.5 2.5 2.5 2.5 2.5 3.0 3.0
>3.55
~6.0
2.5
Fu 2.0 2.0 2.0 2.5 2.5 2.5 3.0
Fp 1.5 1.5 1.5 2.0 2.0 2.0 2.5
Fp2 4.5 5.5 7.0 8.0 9.0 10.0 11.0
Fr 3.5 4.0 4.5 5.0 6.0 6.5 7.0
F'i 5.5 6.5 7.5 8.0 9.0 10.0 11.0
F'i 3.0 3.0 3.0 3.0 3.0 3.5 3.5
Table 1 (continued) Unit is micron
Modulus
m(mt,mx)/
Mm
Deviation index circle diameter d/mm
Fα
>10
~50
>50
~125
>125
~280
>280
~560
>560
~1000
>1000
~1600
>1600
~2500
>6.0
~10
3.0
Fu 2.0 2.5 2.5 2.5 3.0 3.0 3.5
Fp 2.0 2.0 2.0 2.0 2.0 2.5 2.5
Fp2 4.5 6.0 7.5 8.5 9.5 11.0 11.0
Fr 4.0 4.5 5.0 6.0 6.5 7.5 8.0
F'i 6.0 7.5 8.5 9.0 10.0 11.0 12.0
F'i 3.5 3.5 3.5 3.5 3.5 4.0 4.0
>10
~16
4.0
Fu 3.0 3.0 3.0 3.0 3.5 3.5 4.0
Fp 2.0 2.0 2.5 2.5 2.5 3.0 3.0
Fp2 5.0 6.5 8.0 9.0 10.0 11.0 12.0
Fr 4.5 5.0 6.0 7.0 7.5 8.0 9.0
F'i 7.5 8.5 9.5 10.0 11.0 12.0 13.0
F'i 4.5 4.5 4.5 4.5 4.5 5.0 5.0
>16
~25
5.0
Fu 3.5 3.5 3.5 4.0 4.0 4.5 4.5
Fp 3.0 3.0 3.0 3.0 3.0 3.5 3.5
Fp2 5.5 7.0 8.5 9.5 11.0 12.0 13.0
Fr 5.0 6.0 7.0 7.5 8.5 9.0 9.5
F'i 8.5 9.5 11.0 12.0 13.0 14.0 15.0
F'i 5.5 5.5 5.5 5.5 5.5 6.0 6.0
>25
~40
7.0
Fu 4.5 5.0 5.0 5.0 5.0 5.5 6.0
Fp 3.5 4.0 4.0 4.0 4.0 4.5 4.5
Fp2 5.5 7.5 9.0 10.0 12.0 13.0 14.0
Fr 6.0 7.0 7.5 8.5 9.0 10.0 11.0
F'i 10.0 11.0 13.0 14.0 15.0 16.0 17.0
F'i 7.5 7.5 7.5 8.0 8.0 8.0 8.0
Deviation Fpz
Measuring length/mm 15 25 45 75 125.200 300
Axial modulus mx/mm
>0.5
~2
>2
~3.55
>3.55
~6
>6
~10
>10
~16
>16
~25
>25
~40
Number of worm heads
Z1
1 1.0 1.5 1.5 2.0 3.0 3.5 4.0
2 1.5 1.5 2.0 2.5 3.5 4.0 5.0
3 and 4 1.5 2.0 2.5 3.0 4.0 5.0 6.0
5 and 6 1.5 2.0 3.0 3.5 4.5 5.5 7.0
>6 2.0 2.5 3.5 4.0 5.5 7.0 8.0
Table 2 The allowable value of the 2-level precision gear tooth deviation is in microns.
Modulus
m(mt,mx)/
Mm
Deviation index circle diameter d/mm
Fα
>10
~50
>50
~125
>125
~280
>280
~560
>560
~1000
>1000
~1600
>1600
~2500
>0.5
~2.0
2.0
Fu 2.0 2.5 2.5 2.5 3.0 3.5 3.5
Fp 1.5 2.0 2.0 2.0 2.5 2.5 3.0
Fp2 4.5 6.0 7.5 8.5 10.0 11.0 12.0
Fr 3.5 4.0 4.5 5.0 6.0 6.5 7.0
F'i 5.5 6.5 7.5 8.5 9.5 11.0 11.0
F'i 2.5 2.5 2.5 3.0 3.0 3.5 3.5
>2.0
~3.55
2.5
Fu 2.5 2.5 2.5 3.0 3.5 3.5 4.0
Fp 2.0 2.0 2.0 2.5 2.5 2.5 3.0
Fp2 6.0 7.5 8.5 10.0 11.0 13.0 14.0
Fr 4.0 5.0 6.0 6.5 7.5 8.0 8.5
F'i 6.5 8.0 9.0 10.0 11.0 12.0 13.0
F'i 3.5 3.5 3.5 3.5 3.5 4.0 4.0
>3.55
~6.0
3.5
Fu 2.5 2.5 3.0 3.5 3.5 3.5 4.0
Fp 2.0 2.0 2.5 2.5 2.5 3.0 3.5
Fp2 6.0 8.0 9.5 11.0 12.0 14.0 15.0
Fr 4.5 6.0 6.5 7.5 8.5 9.0 10.0
F'i 7.5 9.0 10.0 11.0 13.0 14.0 15.0
F'i 4.0 4.0 4.0 4.5 4.5 4.5 4.5
>6.0
~10
4.5
Fu 3.0 3.5 3.5 3.5 4.0 4.5 4.5
Fp 2.5 2.5 2.5 3.0 3.0 3.5 3.5
Fp2 6.5 8.5 10.0 12.0 13.0 15.0 16.0
Fr 5.5 6.5 7.5 8.5 9.0 10.0 11.0
F'i 8.5 10.0 12.0 13.0 14.0 15.0 16.0
F'i 4.5 4.5 5.0 5.0 5.0 5.5 5.5
>10
~16
6.0
Fu 4.0 4.0 4.0 4.5 4.5 5.0 5.5
Fp 3.0 3.0 3.5 3.5 3.5 4.0 4.5
Fp2 7.0 9.0 11.0 12.0 14.0 16.0 17.0
Fr 6.0 7.5 8.5 9.5 10.0 11.0 12.0
F'i 10.0 12.0 13.0 15.0 16.0 17.0 19.0
F'i 6.0 6.0 6.5 6.5 6.5 7.0 7.5
>16
~25
7.5
Fu 4.5 5.0 5.0 5.5 6.0 6.0 6.0
Fp 4.0 4.0 4.0 4.5 4.5 4.5 5.0
Fp2 7.5 10.0 12.0 13.0 15.0 17.0 19.0
Fr 7.5 8.5 9.5 11.0 12.0 12.0 13.0
F'i 12.0 13.0 15.0 16.0 18.0 19.0 21.0
F'i 8.0 8.0 8.0 8.0 8.0 8.5 8.5
>25
~40
10.0
Fu 6.5 7.0 7.0 7.5 7.5 7.5 8.0
Fp 5.0 5.5 5.5 6.0 6.0 6.0 6.0
Fp2 8.0 10.0 12.0 14.0 16.0 18.0 20.0
Fr 8.5 9.5 11.0 12.0 13.0 14.0 15.0
F'i 14.0 16.0 18.0 19.0 21.0 22.0 24.0
F'i 11.0 11.0 11.0 11.0 11.0 11.0 11.0
Deviation Fpz
Measuring length/mm 15 25 45 75 125.200 300
Axial modulus mx/mm
>0.5
~2
>2
~3.55
>3.55
~6
>6
~10
>10
~16
>16
~25
>25
~40
Number of worm heads
Z1
1 1.5 2.0 2.5 3.0 4.0 4.5 6.0
2 2.0 2.0 3.0 3.5 4.5 6.0 7.0
3 and 4 2.0 2.5 3.5 4.5 5.5 7.0 8.5
5 and 6 2.5 3.0 4.0 5.0 6.0 8.0 10.0
>6 3.0 3.5 4.5 6.0 7.5 9.5 11...
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