CN115906322B - Design method and system for common normal line of meshing gear - Google Patents
Design method and system for common normal line of meshing gear Download PDFInfo
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Abstract
The invention relates to the field of design of gear common normals, and particularly discloses a design method and a system of a meshing gear common normals, wherein the method comprises the following steps: acquiring meshing gear information, wherein the meshing gear information comprises gear teeth number, cross-measurement teeth number and center distance; presetting an engagement gap of an engagement gear, and obtaining a virtual modulus according to engagement gear information and the engagement gap; calculating a virtual reference circle of the meshing gear according to the virtual modulus and the gear number; and calculating the common normal line of the meshing gear according to the relation between the common normal line and the virtual reference circle and the meshing gear information. The scheme is more flexible, can be used for various application occasions, and can calculate the length of the common normal line theoretically, so that the calculation process is more rigorous, and the result is more accurate.
Description
Technical Field
The invention relates to the field of design of common normal lines of gears, in particular to a design method and a system of a common normal line of a meshing gear.
Background
The common normal line of the gear is a straight line tangent to the base circle and intersecting with the different-side involute of the gear. For gears with different numbers of teeth, the selected cross-measurement teeth numbers are different, the length of the measured common normal line is also different, and generally for a specific tooth number, the cross-measurement teeth number value can be selected within a certain range, and the size of the common normal line can be measured by a common normal line measuring instrument.
The nominal length and the up-down deviation of the common normal line of the existing gear are mostly determined by inquiring national standards or empirically. However, both methods cannot meet the diversity of gear application and precision requirements.
Disclosure of Invention
The invention aims to solve the problems in the prior art, and provides a design method and a design system for a common normal line of a meshing gear.
In order to achieve the above object, a first aspect of the present invention provides a design method for a common normal line of a meshing gear, including the steps of:
acquiring meshing gear information, wherein the meshing gear information comprises gear teeth number, cross-measurement teeth number and center distance;
presetting an engagement gap of an engagement gear, and obtaining a virtual modulus according to engagement gear information and the engagement gap;
calculating a virtual reference circle of the meshing gear according to the virtual modulus and the gear number;
and calculating the common normal line of the meshing gear according to the relation between the common normal line and the virtual reference circle and the meshing gear information.
Preferably, the relationship between the common normal and the virtual reference circle is as follows:
wherein d represents the virtual reference circle of the gear, W k The gear common normal line with the cross-measured tooth number of k is represented, Z represents the tooth number of the gear, and alpha represents the pressure angle of the gear tooth.
Preferably, the meshing gap of the meshing gears is preset, and the virtual modulus m is obtained according to meshing gear information and the meshing gap Deficiency type The formula is as follows: m is m Deficiency type =2（h-δ）/（Z 1 +Z 2 ) Wherein h represents the center distance, delta represents the engagement gap, Z 1 And Z 2 Respectively, representing the number of teeth of the two gears that engage the gears.
Preferably, the method further comprises: testing the transmission effect of the meshing gear under the common normal line of the meshing gear, and if the meshing gear is blocked, increasing the meshing clearance and recalculating to obtain the virtual reference circle of the meshing gear; if no jamming exists, the requirements are met.
Preferably, the method further comprises:
repeatedly presetting meshing gaps with different sizes, and respectively calculating to obtain common normals of corresponding meshing gears;
and testing and recording the transmission effect of the meshing gears under the common normal line of different meshing gears, and establishing the corresponding relation between the meshing gap and the common normal line and the transmission effect.
According to the design method, the corresponding meshing clearance is searched according to the corresponding relation and the common normal of the meshing gears is calculated by adopting the method.
Preferably, the method further comprises: setting a tolerance value of a common normal line of the meshing gears, calculating a meshing clearance range of the meshing gears according to the tolerance value, comparing the meshing clearance range with the corresponding relation data, judging whether the meshing clearance range belongs to a no-clamping range, and if so, finishing design.
Preferably, the method is used for common normal design of a multi-stage transmission gear, and comprises the following steps:
calculating to obtain the corresponding relation between the primary transmission gear and the secondary transmission gear, and obtaining a first common normal range of the secondary transmission gear under the transmission requirement;
calculating to obtain the corresponding relation between the secondary transmission gear and the tertiary transmission gear, and obtaining a second common normal range of the secondary transmission gear under the transmission requirement;
taking the intersection of the first common normal range and the second common normal range as a final common normal range of the secondary transmission gear;
and the same is repeated, and the common normal final range of the rest gears in the multi-stage transmission gears is calculated.
A third aspect of the present invention provides a design system for a common normal line of a meshing gear, comprising:
the data module is used for acquiring meshing gear information, and comprises gear teeth number, cross-measurement teeth number and center distance;
the virtual module is used for presetting the meshing gap of the meshing gears and obtaining a virtual module according to meshing gear information and the meshing gap;
the virtual reference circle module is used for calculating the virtual reference circle of the meshing gear according to the virtual modulus and the gear number;
and the common normal line module is used for calculating the common normal line of the meshing gear according to the relation between the common normal line and the virtual reference circle and the meshing gear information.
A fourth aspect of the present invention provides a design system for a common normal line of a meshing gear, comprising:
the storage module is used for storing the corresponding relation databases under different moduli;
the searching module is used for searching the corresponding meshing gap from the corresponding relation database according to the transmission effect requirement;
and the calculation module is used for calculating the common normal line of the meshing gear according to the method.
By the technical scheme, the concept of the virtual reference circle is introduced, the relationship between the length of the common normal line and the diameter of the virtual reference circle of the gears is established, and the size of the common normal line is designed according to the size relationship between the diameters of the virtual reference circles of the two gears which are meshed and the center distance. The design scheme is more flexible, can be used for various application occasions, and can calculate the common normal length theoretically, so that the calculation process is more rigorous and the result is more accurate.
Drawings
FIG. 1 is a schematic diagram of gear engagement according to an embodiment of the present invention;
FIG. 2 is a second gear mesh schematic diagram according to an embodiment of the present invention;
in the figure: 1. a first gear; 2. a second gear; 3. a third gear; 4. and a gear IV.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
Example 1
The first aspect of the invention provides a design method of a common normal line of a meshing gear, comprising the following steps:
s1, acquiring meshing gear information, wherein the meshing gear information comprises gear teeth number, cross-measurement teeth number and center distance;
as shown in fig. 1, for two meshed gears 1, 2, the meshed gear information is acquired as follows: the modulus is m, the tooth number is Z 1 、Z 2 The virtual pitch circle diameters are respectively: d, d 1 = mZ 1 、d 2 = mZ 2 The method comprises the steps of carrying out a first treatment on the surface of the The center distance h of the two gears is h=d 1 /2 + d 2 /2 （1）。
After the modulus and the number of teeth of the gear are determined, the diameter of the reference circle is also determined. In practice, however, the pitch circle diameters are d at standard center distances due to the gear accuracy and assembly errors 1 、d 2 Is not well meshed and even jams occur. Therefore, a negative tolerance is given to the common normal line, so that the circumferential backlash between gear teeth of the two meshing gears is increased, and the two gears can normally mesh and drive. However, when the common normal line is too small, the circumferential backlash of the gear is increased, the transmission precision is affected, and the noise is also increased, so that the common normal line is required to be controlled, and the situation that the common normal line is too large or too small is avoided.
The following common normal primary design method is adopted:
by looking up a mechanical design manual (gear manual written by the gear manual agency of the editorial edition 2, upper book 10 & ltSmall modulus Gear & gt & Small modulus Worm drive & gt), the mathematical formula of the common normal is known as follows:
（2）
wherein: invα=tan α - α (3)
m=d/Z （4）
Bringing equations (2) and (3) into equation (4), the relationship between the common normal and the virtual reference circle is as follows:
wherein d represents the virtual reference circle of the gear, W k The gear common normal line with the cross-measured tooth number of k is represented, Z represents the tooth number of the gear, and alpha represents the pressure angle of the gear tooth.
For a standard involute spur gear, preferably α=20°, bringing it into the above formula, then:
（5）
for two standard gears meshed with each other, when the common normal line of one gear is reduced, the circumferential backlash of gear teeth is increased when the gears are meshed with each other; for two meshed standard straight gears, when the actual center distance is larger than the standard center distance, the reference circles of the two meshed standard straight gears are separated, the circumferential backlash of the gear teeth is increased, and a certain equivalent relationship exists between the two meshed standard straight gears. The virtual reference circle here therefore represents: when the backlash increases due to the decrease of the common normal line, the pitch circle diameter of the virtual standard gear corresponding to the backlash increases. That is, when the common normal line and the number of teeth of one gear are known, the virtual pitch circle diameter corresponding to the gear can be obtained.
S2, presetting a meshing gap of a meshing gear, and obtaining a virtual modulus according to meshing gear information and the meshing gap;
illustratively, as shown in FIG. 1, gear one 1 is a single gear, having a number of teeth Z 1 The modulus m=0.4, the cross-measured tooth number of which is k=9, is obtained by querying a comparison table of the common normal length of the standard alignment gear and the cross-measured tooth number in the mechanical design manual, and the virtual reference circle calculation formula is obtained by the formula (5):
（6）
the gear meshed with the gear I1 is a duplex gear (namely, two gears are combined together), and the small wheel is meshed and driven to be used as a gear II 2. Tooth number Z of gear II 2 2 As can be seen from the table lookup, the cross-measured tooth number is k=4, and the virtual reference circle calculation formula of the gear two 2 is:
（7）
and obtaining the standard center distance of the two gears to be 21mm according to the modulus and the tooth number of the first gear 1 and the second gear 2. The engagement gap of delta=0.02 mm exists between the virtual reference circle of the second gear 2 and the virtual reference circle of the first gear 1, and then:
（8）。
at this time, as can be obtained by the formula (1), the moduli of the two virtual gears are:。
s3, calculating a virtual reference circle of the meshing gear according to the virtual modulus and the gear number;
two virtual reference circles are d respectively Deficiency 1 And d Deficiency 2 ：
。
S4, calculating the common normal line of the meshing gear by the virtual reference circle of the meshing gear according to the relation between the common normal line and the virtual reference circle;
as can be obtained from the formulas (6) and (7), the common normal length of the two gears is:
W 9 = d deficiency 1 / 2.869=10.4466mm，W 4 = d Deficiency 2 / 2.790=4.2970mm。
Starting from a mathematical formula of the common normal line, obtaining a mathematical relationship between the length of the common normal line and the diameter of the virtual reference circle of the gears through formula deformation, and then designing the size of the common normal line according to the size relationship between the diameter of the virtual reference circle of the two gears which are meshed and the center distance. So far, the primary design of the common normal line is completed from the step S1 to the step S3.
Further preferably, gear manufacturing is performed according to the primary design result of the common normal line, the transmission effect of the meshing gear under the common normal line of the meshing gear is tested, if the clamping exists, the meshing gap is increased, and the virtual reference circle of the meshing gear is obtained through recalculation; if no jamming exists, the requirements are met.
Illustratively, the specific details are as follows: after the preliminary design, the gear can be machined, and the standard gear and the gear of the meshing gear can be machined according to the common normal value of the meshing gear, wherein the precision grade is 7. After the machining is finished, a common normal measuring instrument is used for checking whether the common normal of the gear is near the calculated value, and the error between the theoretical common normal measured value and the theoretical value is within +/-0.005 mm. And matching the two manufactured gears, rotating the first gear 1 by hand, and observing whether a clamping point exists between the two gears. In principle, the smaller the meshing gap between the two gears, the better without any jamming of the meshing between the two gears.
Further preferably, the method for designing the common normal line of the meshing gear further includes: s5, repeatedly presetting meshing gaps with different sizes, and respectively calculating to obtain corresponding common normals of the meshing gears; and testing and recording the transmission effect of the meshing gears under the common normal line of different meshing gears, and establishing the corresponding relation between the meshing gap and the common normal line and the transmission effect.
Illustratively, the meshing gap between the virtual reference circles of the two gears is calculated by using the method of step S1-step S4The values of (2) are 0.05mm, 0.08mm, 0.1mm, 0.12mm, and 0.15mm, respectively, and the calculated results are shown in Table 1:
TABLE 1 meshing gap-common normal Length correspondence table
After the preliminary design, the gear can be machined, two gears can be machined according to each common normal value, and the precision grade is 7. After the machining is finished, a common normal measuring instrument is used for checking whether the common normal of the gear is near the calculated value, and the error between the theoretical common normal measured value and the theoretical value is within +/-0.005 mm.
And respectively matching the manufactured gears 2 with different common normal lengths with the gear 1, rotating the gears 2 by hand, and observing whether a clamping point exists between the two gears. In principle, the smaller the meshing gap between the two gears, the better without any jamming of the meshing between the two gears. Taking the two gears as examples, through a plurality of tests, the meshing conditions are shown in table 2, and in table 2, no obvious clamping means that the force required for maintaining the rotation of the two gears has no obvious change in the process of meshing rotation of the two gears:
table 2 meshing gap-transmitting effect correspondence table
| Engagement gap/mm | 0.02 | 0.05 | 0.08 | 0.10 | 0.12 | 0.15 |
| Engagement condition | Cartoon-like pattern | No obvious blocking | No jamming | No jamming | No jamming | No jamming |
From tables 1 and 2, a correspondence of the meshing gap-common normal-transmission effect can be established, which is applicable to gears having the same modulus as the standard gear.
Example 2
After the corresponding relation in the embodiment 1 is obtained, the corresponding relation is used as a design standard, and the direct design can be carried out according to the standard in the later period, namely the step of 'common normal final design' is directly carried out, and the method belongs to a one-time and perpetual method.
Therefore, the second aspect of the present invention provides a design method for a common normal line of a meshing gear, further comprising the steps of: according to the corresponding relation between the meshing clearance and the common normal line and the transmission effect, searching the corresponding meshing clearance according to the transmission effect requirement, and calculating the common normal line of the meshing gear by adopting the method from step S1 to step S4 in the embodiment 1.
Illustratively, the design criteria are first determined: according to the corresponding relation of the meshing gap-common normal line-transmission effect established in the tables 1 and 2, when the meshing gap between the virtual reference circles of the two gears is larger than 0.05mm, the gears are meshed without a clamping condition; when being less than 0.02mm, obvious jamming condition can appear, and when 0.02~0.05mm, there is the jamming, but the jamming is less, considers that newly manufactured gear exists the unavoidable burr, and later stage is through break-in back jamming can reduce or eliminate. Therefore, for the gear design, when the gear system has certain requirements on the precision, the virtual pitch circle meshing clearance of the last two-stage gears with larger influence on the system precision can be designed to be smaller, preferably about 0.05mm, so as to improve the transmission precision of the gear train; for the first stage gears with smaller influence on precision, the virtual pitch circle meshing gap of the two meshing gears can be designed to be slightly larger, for example, about 0.1mm, so that the precision requirements of gear machining and center distance are reduced, and the production cost is reduced.
Secondly, the common normal final design steps are as follows: as shown in fig. 2, the gears three 3 and four 4 are meshed with each other, wherein the number of teeth of the large gear z=60 of the gear three 3, the modulus m=0.4, and the number of teeth of the large gear z=7 is obtained by looking up a table; the four 4 teeth of the gear are Z=30, the modulus m=0.4, the cross-measured teeth of the gear are k=4 through table lookup, and the center distance between the gear and the table is 18mm. Due to two of themThe gears do not belong to the last two stages of gear trains, so the gear precision requirement is relatively low, according to the table 2, the virtual pitch circle meshing gap of the gears can be designed to be 0.1mm, and the two virtual gear modules are as follows:。
according to the formula (7), virtual reference circles of the gear III 3 large wheel and the gear IV 4 are respectively:
。
at this time, it is obtainable according to the formula (5):
。
further preferably, the method further comprises: setting a tolerance value of a common normal line of the meshing gears, calculating a meshing clearance range of the meshing gears according to the tolerance value, comparing the meshing clearance range with the corresponding relation data, judging whether the meshing clearance range belongs to a no-clamping range, and if so, finishing design.
Illustratively, the result is calculated as the standard length of the design common normal, the tolerance is set to be +/-0.01 mm, namely the length of the gear three 3 common normal is 7.957-7.977 mm; the length of the four 4 cm normals of the gear is 4.267-4.287 mm. The virtual reference circle of the gear III 3 is 23.8376-23.8975 mm, and the virtual reference circle of the gear IV 4 is 11.9057-11.9615 mm. The extreme value of the virtual reference circle gap value corresponding to the two values is:
。
the virtual indexing circle meshing gap of the two gears is between 0.072 and 0.128 mm. In the corresponding relation, the corresponding transmission effect is in the no-jamming condition under the condition that the meshing gap is 0.072-0.128 mm, and the range of the meshing gap is 0.072-0.128 mm meets the requirements. So far, the common normal line of the gears is designed, and the other gears are designed according to the flow.
Further, the method is used for common normal design of the multi-stage transmission gear, and comprises the following steps of:
calculating to obtain the corresponding relation between the primary transmission gear and the secondary transmission gear, and obtaining a first common normal range of the secondary transmission gear under the transmission requirement;
calculating to obtain the corresponding relation between the secondary transmission gear and the tertiary transmission gear, and obtaining a second common normal range of the secondary transmission gear under the transmission requirement;
taking the intersection of the first common normal range and the second common normal range as a final common normal range of the secondary transmission gear;
and the same is repeated, and the common normal final range of the rest gears in the multi-stage transmission gears is calculated.
Based on the same inventive concept as the design method of the common normal line of the meshing gear in embodiment 1, a third aspect of the present invention provides a design system of the common normal line of the meshing gear, comprising:
the data module is used for acquiring meshing gear information, and comprises gear teeth number, cross-measurement teeth number and center distance;
the virtual module is used for presetting the meshing gap of the meshing gears and obtaining a virtual module according to meshing gear information and the meshing gap;
the virtual reference circle module is used for calculating the virtual reference circle of the meshing gear according to the virtual modulus and the gear number;
and the common normal line module is used for calculating the common normal line of the meshing gear according to the relation between the common normal line and the virtual reference circle and the meshing gear information.
Based on the same inventive concept as the design method of the common normal line of the meshing gear in embodiment 2, a fourth aspect of the present invention provides a design system of the common normal line of the meshing gear, comprising:
the storage module is used for storing the corresponding relation databases under different moduli;
the searching module is used for searching the corresponding meshing gap from the corresponding relation database according to the transmission effect requirement;
a calculation module for calculating a common normal line of the meshing gears according to the method described in embodiment 2.
In summary, the invention establishes the relationship between the length of the common normal and the diameter of the virtual reference circle of the gears by introducing the concept of the virtual reference circle, and designs the size of the common normal according to the size relationship between the diameter of the virtual reference circle of the two gears which are meshed and the center distance. The smaller the difference value between the center distance and half of the sum of the virtual reference circle diameters of the two gears is, the smaller the gear meshing gap is, the higher the transmission precision is, the higher the center distance requirement is, and the higher the gear machining requirement is; conversely, the larger the difference value is, the larger the gear meshing gap is, the lower the transmission precision is, the lower the center distance requirement is, and the lower the gear machining requirement is. According to the invention, through the selection of different difference values, the designed gear can meet the requirements of different occasions, and the singleness of national standard size is compensated. After the design standard is obtained, the method can directly design according to the standard in the later period, namely, the step of 'common normal final design' is directly carried out, and the method belongs to a one-time and perpetual method. Therefore, compared with the searching of national standards, the public normal design scheme is more flexible and can be used for various application occasions; compared with an empirical method, the common normal length can be calculated theoretically by the common normal design scheme, the calculation process is more rigorous, the result is more accurate, a quantifiable index is arranged in the middle, and the empirical method lacks theoretical support.
The preferred embodiments of the present invention have been described in detail above with reference to the accompanying drawings, but the present invention is not limited thereto. Within the scope of the technical idea of the invention, a number of simple variants of the technical solution of the invention are possible, including the combination of the individual specific technical features in any suitable way. The various possible combinations of the invention are not described in detail in order to avoid unnecessary repetition. Such simple variations and combinations are likewise to be regarded as being within the scope of the present disclosure.
Claims (8)
1. The design method of the common normal line of the meshing gear is characterized by comprising the following steps of:
acquiring meshing gear information, wherein the meshing gear information comprises gear teeth number, cross-measurement teeth number and center distance;
presetting the meshing gap of the meshing gears, and obtaining a virtual modulus m according to meshing gear information and the meshing gap Deficiency type The formula is as follows: m is m Deficiency type ＝2(h-δ)/(Z 1 +Z 2 ) Wherein h represents the center distance, delta represents the engagement gap, Z 1 And Z 2 Respectively representing the number of teeth of two gears of the meshing gear;
calculating the virtual reference circle diameter of the meshing gear according to the virtual modulus and the gear number; the virtual reference circle diameter represents: when the backlash increases due to the decrease of the common normal line, the pitch circle diameter of the corresponding virtual standard gear is increased;
calculating the common normal line of the meshing gear according to the relationship between the common normal line and the virtual reference circle diameter and the meshing gear information; the relationship between the common normal and the virtual reference circle diameter is as follows:
wherein d represents the virtual pitch diameter of the gear, W k The gear common normal line with the cross-measured tooth number of k is represented, Z represents the tooth number of the gear, and alpha represents the pressure angle of the gear tooth.
2. The method according to claim 1, wherein the method further comprises: testing the transmission effect of the meshing gear under the common normal line of the meshing gear, and if the meshing gear is blocked, increasing the meshing clearance and recalculating to obtain the virtual pitch circle diameter of the meshing gear; if no jamming exists, the requirements are met.
3. The method according to claim 1 or 2, characterized in that the method further comprises:
repeatedly presetting meshing gaps with different sizes, and respectively calculating to obtain corresponding common normals of the meshing gears;
and testing and recording the transmission effect of the meshing gears under the common normal line of different meshing gears, and establishing the corresponding relation between the meshing gap and the common normal line and the transmission effect.
4. A design method of the common normal of the meshing gears, characterized in that the corresponding meshing gap is searched for by the transmission effect requirement according to the correspondence as claimed in claim 3, and the common normal of the meshing gears is calculated by the method as claimed in claim 3.
5. The method according to claim 4, wherein the method further comprises: setting a tolerance value of a common normal line of the meshing gears, calculating a meshing clearance range of the meshing gears according to the tolerance value, comparing the meshing clearance range with the corresponding relation data, judging whether the meshing clearance range belongs to a no-clamping range, and if so, finishing design.
6. Method according to claim 4 or 5, characterized in that it is used for common normal design of a multi-stage transmission gear, comprising the steps of:
calculating to obtain the corresponding relation between the primary transmission gear and the secondary transmission gear, and obtaining a first common normal range of the secondary transmission gear under the transmission requirement;
calculating to obtain the corresponding relation between the secondary transmission gear and the tertiary transmission gear, and obtaining a second common normal range of the secondary transmission gear under the transmission requirement;
taking the intersection of the first common normal range and the second common normal range as a final common normal range of the secondary transmission gear;
and the same is repeated, and the common normal final range of the rest gears in the multi-stage transmission gears is calculated.
7. A design system for a common normal of a meshing gear, comprising:
the data module is used for acquiring meshing gear information, and comprises gear teeth number, cross-measurement teeth number and center distance;
virtual module for presetting meshing space of meshing gearsThe gap, the virtual modulus m is obtained according to the meshing gear information and the meshing gap Deficiency type The formula is as follows: m is m Deficiency type ＝2(h-δ)/(Z 1 +Z 2 ) Wherein h represents the center distance, delta represents the engagement gap, Z 1 And Z 2 Respectively representing the number of teeth of two gears of the meshing gear;
a virtual pitch diameter for calculating a virtual pitch diameter of the meshing gear based on the virtual modulus and the gear number; the virtual reference circle diameter represents: when the backlash increases due to the decrease of the common normal line, the pitch circle diameter of the corresponding virtual standard gear is increased;
the common normal line module is used for calculating the common normal line of the meshing gear according to the relationship between the common normal line and the virtual reference circle diameter and the meshing gear information; the relationship between the common normal and the virtual reference circle diameter is as follows:
wherein d represents the virtual pitch diameter of the gear, W k The gear common normal line with the cross-measured tooth number of k is represented, Z represents the tooth number of the gear, and alpha represents the pressure angle of the gear tooth.
8. A design system for a common normal of a meshing gear, comprising:
a storage module for storing the correspondence database according to any one of claims 4-6 at different moduli;
the searching module is used for searching the corresponding meshing gap from the corresponding relation database according to the transmission effect requirement;
a calculation module for calculating a common normal of the meshing gears according to the method of any one of claims 4-6.
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| DE102004034456A1 (en) * | 2004-07-16 | 2006-02-16 | Kühling, A. Johannes | Gear pinion with radial teeth for power transmission has circular disk with radial teeth and teeth spacing on edge whose center points lie on pitch circle whereby disk grasps corresponding teeth of another gear and transfers power |
| CN101339017A (en) * | 2007-07-02 | 2009-01-07 | 深圳智泰精密仪器有限公司 | Gear base tangent length, normal pitch and deviation measurement method and system |
| JP2012021538A (en) * | 2010-07-12 | 2012-02-02 | Musashi Seimitsu Ind Co Ltd | Design program for gear meshing with pinion, method for manufacturing die by the design program and die manufactured by the method for manufacturing the die, method for manufacturing gear meshing with pinion by design program and gear meshing with pinion manufactured by method for manufacturing the gear |
| CN107526797A (en) * | 2017-08-17 | 2017-12-29 | 广州市西美信息科技有限公司 | Substance search method and device |
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2022
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| DE102004034456A1 (en) * | 2004-07-16 | 2006-02-16 | Kühling, A. Johannes | Gear pinion with radial teeth for power transmission has circular disk with radial teeth and teeth spacing on edge whose center points lie on pitch circle whereby disk grasps corresponding teeth of another gear and transfers power |
| CN101339017A (en) * | 2007-07-02 | 2009-01-07 | 深圳智泰精密仪器有限公司 | Gear base tangent length, normal pitch and deviation measurement method and system |
| JP2012021538A (en) * | 2010-07-12 | 2012-02-02 | Musashi Seimitsu Ind Co Ltd | Design program for gear meshing with pinion, method for manufacturing die by the design program and die manufactured by the method for manufacturing the die, method for manufacturing gear meshing with pinion by design program and gear meshing with pinion manufactured by method for manufacturing the gear |
| CN107526797A (en) * | 2017-08-17 | 2017-12-29 | 广州市西美信息科技有限公司 | Substance search method and device |
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| 渐开线圆柱齿轮公法线跨齿数的准确计算;何鹏;;特种设备安全技术(第04期);第36-39页 * |
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