CN102744469A - Hob design method - Google Patents
Hob design method Download PDFInfo
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- CN102744469A CN102744469A CN2012102665250A CN201210266525A CN102744469A CN 102744469 A CN102744469 A CN 102744469A CN 2012102665250 A CN2012102665250 A CN 2012102665250A CN 201210266525 A CN201210266525 A CN 201210266525A CN 102744469 A CN102744469 A CN 102744469A
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Abstract
The invention provides a hob design method. The hob design method is characterized by including the following steps: (1) a tooth form is drawn; (2) a tau/n array is made in an angular pitch tau to obtain n+1 tooth-shaped curves; (3) a number 1 curve is horizontally moved at the distance of t/n to arrive at a P point along the X axis direction, then a number 2 curve and the number 1 curve are horizontally moved at the distance of t/n to arrive at the P point along the X axis direction, and so on, finally a number n+1 curve, a number n curve, a number n-1 curve...... a number 3 curve, the number 2 curve and the number 1 curve are all horizontally moved at the distance of t/n to arrive at the P point along the X axis direction to obtain a gear tooth-shaped envelope curve; (4) a symmetrical envelope curve of a hob tooth-shaped curve is obtained through images; and (5) an arc or a straight line is used for replacing the envelope curve to perform correction so as to obtain a complete hob tooth-shaped curve. The hob design method is based on a gear meshing principle, achieves hob tooth-shaped design by adopting a pure mapping method, and is simple, visual and high in design accuracy. The tooth form of a hob can be changed at any time in a mapping process according to process requirements of following processes. The hob design method is optimized continuously and enables design of the hob to be convenient and reasonable.
Description
Technical field
The present invention relates to a kind of method for designing of hobboing cutter, particularly a kind of method that realizes the hob profile design based on graphing method.
Background technology
In mechanical transmission mechanism; Parameters such as the shape of gear, precision and angular pitch are crucial data and indexs in the gear drive; These parameters of choice directly have influence on gear-driven performance and quality; And be directly connected to the technical indicator of gear drive product, even influence the entire product quality.
At present, the general computational methods that adopt of the hobboing cutter of realization form of gear tooth processing commonly used design more, and this method need be applied mechanically the formula of very complicated in design; Calculation of mass data; And the selection of a lot of data is worth acquisition by rule of thumb in the computational process, and such data select to guarantee the reasonability of result of calculation, in case deviation appears in the result or calculated data is unreasonable; Just need calculate again, waste time and energy; A kind of in addition hob design method commonly used is a graphing method, and still, graphing method of the prior art need calculate the central coordinate of circle of gear circular arc usually earlier; And then the center of circle linked up, obtain tooth curve through mapping, though this graphing method is simple relatively than the design process of computing method; Yet still need carry out the calculating of the central coordinate of circle of gear circular arc earlier, still will use some design calculation formulas, this just makes in the design process; Can't realize hob profile is changed immediately; Intuitive in the actual process of hobboing cutter is poor, and hob design efficient is low, so await to do further improvement.
Summary of the invention
Technical problem to be solved by this invention is that instant change directly perceived, convenient of a kind of simplicity of design and the hob design method of optimizing are provided to above-mentioned prior art present situation.
The present invention solves the problems of the technologies described above the technical scheme that is adopted: a kind of method for designing of hobboing cutter is characterized in that this hob design method includes following steps:
(1), according to the profile of tooth technical parameter of processed gear part, draw the profile of tooth figure of processed gear part;
(2), the profile of tooth center of circle O with processed gear part is a benchmark; In an angular pitch τ, do τ/n array, wherein, n rounds numerical value; And, obtain behind the array common n+1 bar label be respectively 1,2,3 ..., n-1, n, n+1 the tooth curve of processed gear part;
(3), the profile of tooth center of circle O with processed gear part is a benchmark; At first move horizontally the t/n distance to No. 1 curve to the P point along X-direction; Then No. 2 curves and No. 1 curve are moved horizontally the t/n distance to the P point along X-direction together, then move horizontally the t/n distance to No. 3, No. 2 and No. 1 curve to the P point, by that analogy along directions X together again; Until at last n+1 number, n number, n-1 number ..., No. 3, No. 2 and No. 1 curve all move horizontally the t/n distance to the P point along directions X; Obtain the profile of tooth envelope of processed gear part, wherein, t is the arc length pitch on the processed gear part of correspondence;
(4), carry out mirror image to the profile of tooth envelope of the said processed gear part that obtains in the step (3) along Y direction, obtain the envelope figure of one group of symmetry of processed gear part, this envelope figure corresponds to hob profile envelope of curves line;
(5), said hob profile envelope of curves line is revised, replace the envelope of tooth curve with circular arc or straight line, and finally obtain complete hob profile curve.
Consider that the tooth curve of envelope can not directly be used for the processing of hob profile curve, in order to guarantee the manufacturability of hob profile, as preferably, in the described step (5), said hob profile envelope of curves line modification method includes following steps:
(a), on said hob profile envelope of curves line, get three points, confirm circles by these 3, said hob profile envelope of curves line replaces with circular arc on the done circle or direct straight line by 2 connections on the envelope;
(b), the setting coordinate of the pairing circular arc of circular arc center of circle W on the X axle is t/2 at the bottom of the tooth of said hob profile curve, wherein, t is the arc length pitch on the corresponding processed gear part, and the coordinate of this circular arc center of circle W on the Y axle obtained by graphing method;
(c), the pruning order with AutoCAD obtains hob profile half;
(d), can arrive complete profile of tooth of said hobboing cutter, the complete profile of tooth figure of the said hobboing cutter of acquisition behind the array with mirror image order.
In order to improve the design accuracy of hobboing cutter, as preferably, according to the profile accuracy of said hobboing cutter, the mapping precision of said hob profile envelope of curves line modification method reaches 0.00001～0.0001mm.
Draw for ease; And can reach the required precision of satisfying hob design, preferred as further, the profile of tooth figure of described processed gear part is drawn by AutoCAD; And; According to the design accuracy of said hobboing cutter, before the profile of tooth figure that draws processed gear part, drafting accuracy and decimal point that AutoCAD is set earlier keep figure place.
As preferably, the span of said n is preferably the integer value in 5～12.When the value of n was too small, the hob profile curve that mapping at last obtains was smooth inadequately, and the hob profile precision is low; When the n value was excessive, the curve in the then mapping process behind the array was too much, caused lines too intensive, was difficult to distinguish, and increased the mapping workload, and therefore, n value suits to remain in the reasonable range, being the best in 5～12 the integer value scope.
Compared with prior art, the invention has the advantages that:, adopt pure drawing method to realize the design of hob profile based on Principles of Gear Connection; This hob design method simple, intuitive; Design accuracy is high, and the profile of tooth of hobboing cutter can be changed in the mapping process according to the technological requirement of later process immediately, continues to optimize; Make that not only the design of hobboing cutter is convenient and reasonable; But also can improve the intuitive of hobboing cutter in actual process (design process of hobboing cutter is equivalent to the reverse presentation process of hobboing cutter Machining of Gear), satisfy the manufacturability requirement of hob profile processing.
Description of drawings
Clock and watch profile of tooth figure and the concrete parameter of Fig. 1 for processing by the hobboing cutter of the embodiment of the invention.
Fig. 2 is the array of figure of clock and watch profile of tooth shown in Figure 1.
Fig. 3 is for moving horizontally t/n to No. 1 curve in the array of figure shown in Figure 2 apart from the sketch map to the P point along X-direction.
Fig. 4 is for move horizontally t/n to No. 2 curves in the array of figure shown in Figure 2 and No. 1 curve of mobile t/n distance apart from the sketch map to the P point along X-direction together.
Fig. 5 be the n+1 curve in the clock and watch profile of tooth array shown in Figure 2 and moved respectively No. 1, No. 2, No. 3 of the t/n distance ..., n-1 number and n number all move horizontally the sketch map behind t/n distance to the P point along directions X together.
Fig. 6 is the envelope mirror image figure of clock and watch profile of tooth shown in Figure 1.
Fig. 7 is the sketch map that envelope curve shown in Figure 6 replaces with circular arc or straight line.
Fig. 8 is half profile of tooth sketch map of hobboing cutter of the embodiment of the invention.
Fig. 9 is complete profile of tooth sketch map of the hobboing cutter of the embodiment of the invention.
Figure 10 is the hob profile structural representation of the embodiment of the invention.
The specific embodiment
Embodiment describes in further detail the present invention below in conjunction with accompanying drawing.
Like Fig. 1～shown in Figure 10; Present embodiment is a kind of method for designing of hob profile; The hob design method of present embodiment is applicable to that mainly gear is that rotation, hobboing cutter are the engagement processing mode of translation; The method for designing of this hobboing cutter is according to the theory of engagement of rack-and-pinion, and with the design of CAD graphing method realization hob profile, the hobboing cutter of acquisition can be used for the processing of each type gear.
Present embodiment is chosen watch gear as processed gear part, is example with this watch gear, realizes a kind of method that realizes the hob profile design with the CAD graphing method.
At first, the profile of tooth basic parameter of the watch gear of present embodiment includes: number of teeth z, tooth top arc radius ρ, center circle radius r
C, fillet radius ρ
g, root radius r
gWith radius of addendum r
d
Wherein, the Parameter Calculation of this watch gear is following:
Angular pitch τ=360 °/z, z is the number of teeth of known clock and watch profile of tooth;
The rolling circle radius
Get R
o=r
o, calculate the rolling circle formula: 2 π R
o=t * z, t=2 π R
o/ z; Wherein, t is the arc length pitch of watch gear profile of tooth.
The hob design method of the clock and watch the processed profile of tooth of present embodiment specifically includes following steps:
1, preparation:, the reservation situation of drafting accuracy and the scale of AutoCAD is set according to the design accuracy of hobboing cutter.
2, according to the profile of tooth technical parameter of processed watch gear, draw profile of tooth figure (referring to Fig. 1) with AutoCAD software; Based on Principles of Gear Connection; On the form of gear tooth certain a bit with hob profile on corresponding this conjugation; Therefore, on the form of gear tooth shown in Figure 1 have a few all with hob profile on conjugate point corresponding one by one, in the actual process of gear; Hobboing cutter revolves and turns around, and gear part rotates a tooth (promptly rotating an angular pitch).
3, the profile of tooth center of circle O with watch gear is a benchmark, in an angular pitch τ of gear part, does τ/n array (referring to Fig. 2); In order to guarantee the precision of the final hob profile that obtains, the integer value that general n is got in 5～12 is good, and the numerical value of n is big more, and then the precision of mapping is high more; Obtain the curve of the n+1 bar form of gear tooth behind the array, the label of this n+1 bar curve be defined as respectively No. 1 curve, No. 2 curves, No. 3 curves ..., n-1 curve, n curve and n+1 curve.
4, the profile of tooth center of circle O with gear part is a benchmark; At first move horizontally the t/n distance to No. 1 curve to P point (referring to Fig. 3) along X-direction; Wherein, T is the arc length pitch on the processed watch gear part of correspondence, and according to the theory of engagement, the arc length pitch on the gear part is the tooth bar pitch on the hob profile; Then No. 2 curves and No. 1 curve are moved horizontally the t/n distance to P point (referring to Fig. 4) along X-direction together; Then move horizontally the t/n distance to No. 3, No. 2 and No. 1 curve to the P point along directions X together again; By that analogy; Until at last n+1 number, n number, n-1 number ..., No. 3, No. 2 and No. 1 curve all move horizontally the t/n distance to P point (referring to Fig. 5) along directions X, obtains the profile of tooth envelope of series of gears part;
5, carry out mirror image to the profile of tooth envelope of the gear part that obtains in the last step along Y direction; Obtain the envelope figure of one group of symmetry of processed gear part; This envelope figure corresponds to hob profile envelope of curves line (referring to Fig. 6), just our basic tooth profile of hobboing cutter that will design.
6, consider the manufacturability of hob profile, the hob profile of envelope figure can not directly be used, and need suitably revise; The envelope that replaces tooth curve with multi-section circular arc or straight line; Wherein, hob profile envelope of curves line modification method is handled in the following manner, and concrete steps are following:
(a), on hob profile envelope of curves line, get three some a, b, c; Order 3P with the AutoCAD draw circles comes the picture circle; Circular arc with on the do circle replaces the envelope curve; Profile accuracy according to hobboing cutter; The mapping precision of present embodiment can reach 0.00001-0.0001mm, satisfies the manufacturing of hobboing cutter and the specification requirement of part processing fully, and the circular arc that passes through to be done on the circle with said method perhaps directly replaces envelope curve (referring to Fig. 7) by the straight line of 2 connections on the envelope;
(b), for guarantee after the hobboing cutter machine-shaping can with the gear normal engaged; The coordinate of the pairing circular arc of circular arc center of circle W on the X axle must be set at t/2 (referring to Fig. 7) at the bottom of the tooth of hob profile curve; Wherein, T is the arc length pitch on the processed gear part of correspondence, is the arc length pitch t=2 π R of watch gear in the present embodiment
o/ z, the coordinate of this circular arc center of circle W on the Y axle obtained by graphing method;
(c), the pruning order with AutoCAD obtains half hob profile (referring to Fig. 8);
(d), because the profile of tooth of the watch gear of present embodiment is symmetrical profile of tooth, so corresponding hob profile also is symmetrical, can obtain complete the profile of tooth (referring to Fig. 9) of hobboing cutter with mirror image order;
(e), obtain the complete profile of tooth figure (referring to Figure 10) of this hobboing cutter behind the array.
Present embodiment is based on the theory of engagement of rack-and-pinion; Adopt pure drawing method to realize the design of hob profile, this hob design method simple, intuitive, the profile of tooth of hobboing cutter can be changed in the mapping process according to the technological requirement of later process immediately; Continue to optimize; Be fit to very much the actual processing design of factory, practical, can satisfy the manufacturability requirement of hob profile processing better.
Claims (5)
1. the method for designing of a hobboing cutter is characterized in that, this hob design method includes following steps:
(1), according to the profile of tooth technical parameter of processed gear part, draw the profile of tooth figure of processed gear part;
(2), the profile of tooth center of circle O with processed gear part is a benchmark; In an angular pitch τ, do τ/n array, wherein, n rounds numerical value; And, obtain behind the array common n+1 bar label be respectively 1,2,3 ..., n-1, n, n+1 the tooth curve of processed gear part;
(3), the profile of tooth center of circle O with processed gear part is a benchmark; At first move horizontally the t/n distance to No. 1 curve to the P point along X-direction; Then No. 2 curves and No. 1 curve are moved horizontally the t/n distance to the P point along X-direction together, then move horizontally the t/n distance to No. 3, No. 2 and No. 1 curve to the P point, by that analogy along directions X together again; Until at last n+1 number, n number, n-1 number ..., No. 3, No. 2 and No. 1 curve all move horizontally the t/n distance to the P point along directions X; Obtain the profile of tooth envelope of processed gear part, wherein, t is the arc length pitch on the processed gear part of correspondence;
(4), carry out mirror image to the profile of tooth envelope of the said processed gear part that obtains in the step (3) along Y direction, obtain the envelope figure of one group of symmetry of processed gear part, this envelope figure corresponds to hob profile envelope of curves line;
(5), said hob profile envelope of curves line is revised, replace the envelope of tooth curve with circular arc or straight line, and finally obtain complete hob profile curve.
2. the processing method of hobboing cutter according to claim 1 is characterized in that, in the described step (5), said hob profile envelope of curves line modification method includes following steps:
(a), on said hob profile envelope of curves line, get three points, confirm circles by these 3, said hob profile envelope of curves line replaces with circular arc on the done circle or direct straight line by 2 connections on the envelope;
(b), the setting coordinate of the pairing circular arc of circular arc center of circle W on the X axle is t/2 at the bottom of the tooth of said hob profile curve, wherein, t is the arc length pitch on the corresponding processed gear part, and the coordinate of this circular arc center of circle W on the Y axle obtained by graphing method;
(c), the pruning order with AutoCAD obtains hob profile half;
(d), can arrive complete profile of tooth of said hobboing cutter, the complete profile of tooth figure of the said hobboing cutter of acquisition behind the array with mirror image order.
3. the processing method of hobboing cutter according to claim 2 is characterized in that, according to the profile accuracy of said hobboing cutter, the mapping precision of said hob profile envelope of curves line modification method reaches 0.00001～0.0001mm.
4. the processing method of hobboing cutter according to claim 1; It is characterized in that; The profile of tooth figure of described processed gear part is drawn by AutoCAD, and, according to the design accuracy of said hobboing cutter; Before the profile of tooth figure that draws processed gear part, drafting accuracy and decimal point that AutoCAD is set earlier keep figure place.
5. the processing method of hobboing cutter according to claim 1 is characterized in that, the span of said n is the integer value in 5～12.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201210266525.0A CN102744469B (en) | 2012-07-30 | 2012-07-30 | Hob design method |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201210266525.0A CN102744469B (en) | 2012-07-30 | 2012-07-30 | Hob design method |
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| Publication Number | Publication Date |
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| CN102744469A true CN102744469A (en) | 2012-10-24 |
| CN102744469B CN102744469B (en) | 2014-02-26 |
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| Application Number | Title | Priority Date | Filing Date |
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| CN201210266525.0A Expired - Fee Related CN102744469B (en) | 2012-07-30 | 2012-07-30 | Hob design method |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN115026354A (en) * | 2022-06-27 | 2022-09-09 | 江苏大学 | Reverse envelope design method for complex-tooth-shaped turning cutter |
Citations (4)
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|---|---|---|---|---|
| CN101706838A (en) * | 2009-11-20 | 2010-05-12 | 国营长空精密机械制造公司 | Method and system for simulating gear profile used in computer aided design (CAD) |
| JP2010125571A (en) * | 2008-11-28 | 2010-06-10 | Toyota Motor Corp | Hob cutter |
| CN101862867A (en) * | 2010-06-09 | 2010-10-20 | 王端 | Face gear hobbing cutter design method based on repeatable cutter grinding |
| CN102049572A (en) * | 2009-11-06 | 2011-05-11 | 贵州航空发动机研究所 | Design method for hob of cylindrical gear |
-
2012
- 2012-07-30 CN CN201210266525.0A patent/CN102744469B/en not_active Expired - Fee Related
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2010125571A (en) * | 2008-11-28 | 2010-06-10 | Toyota Motor Corp | Hob cutter |
| CN102049572A (en) * | 2009-11-06 | 2011-05-11 | 贵州航空发动机研究所 | Design method for hob of cylindrical gear |
| CN101706838A (en) * | 2009-11-20 | 2010-05-12 | 国营长空精密机械制造公司 | Method and system for simulating gear profile used in computer aided design (CAD) |
| CN101862867A (en) * | 2010-06-09 | 2010-10-20 | 王端 | Face gear hobbing cutter design method based on repeatable cutter grinding |
Non-Patent Citations (1)
| Title |
|---|
| 刘汉雄，吴序堂: "《用二维绘图软件设计非渐开线齿轮滚刀》", 《工具技术》 * |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN115026354A (en) * | 2022-06-27 | 2022-09-09 | 江苏大学 | Reverse envelope design method for complex-tooth-shaped turning cutter |
| CN115026354B (en) * | 2022-06-27 | 2023-09-19 | 江苏大学 | Reverse enveloping design method for complex tooth-shaped turning tool |
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| CN102744469B (en) | 2014-02-26 |
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