CN110052666B - Double-spelling curve type gear hob - Google Patents

Double-spelling curve type gear hob Download PDF

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Publication number
CN110052666B
CN110052666B CN201910343039.6A CN201910343039A CN110052666B CN 110052666 B CN110052666 B CN 110052666B CN 201910343039 A CN201910343039 A CN 201910343039A CN 110052666 B CN110052666 B CN 110052666B
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China
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curve
arc
line
straight line
tooth
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CN201910343039.6A
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CN110052666A (en
Inventor
郭华杰
熊永强
曹洪
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Nanjing High Speed Gear Manufacturing Co Ltd
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Nanjing High Speed Gear Manufacturing Co Ltd
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B23MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23FMAKING GEARS OR TOOTHED RACKS
    • B23F21/00Tools specially adapted for use in machines for manufacturing gear teeth
    • B23F21/12Milling tools
    • B23F21/16Hobs

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  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Gear Processing (AREA)

Abstract

The invention discloses a double-spelling curve type gear hob, which comprises: a plurality of cutter teeth; the tooth profile of the hob tooth includes: the first tooth root straight line, the first main cutting straight line, the first auxiliary cutting straight line, the first tooth top curve, the second auxiliary cutting straight line, the second main cutting straight line and the second tooth root straight line are connected in sequence; the first tooth top curve is connected with the first pair of cutting straight lines and tangent at a connecting point; the second tooth top curve is connected with the second auxiliary cutting straight line and tangent at a connecting point; the first tooth top curve and the second tooth top curve are connected and tangent at a connecting point; the first tooth top curve consists of a first top arc and a first bottom arc which are connected; the second tooth top curve consists of a second top arc and a second bottom arc which are connected; the first top arc is connected to the second top arc; the first bottom arc is connected to the first pair of cutting lines; the second bottom arc is connected to the second secondary cutting line. The invention has the advantage that the machined gear has higher tooth root strength.

Description

Double-spelling curve type gear hob
Technical Field
The invention relates to a gear hob, in particular to a gear hob which is suitable for processing an involute gear.
Background
For involute gears, particularly gears for heavy duty drives, the strength of the tooth root is often a major factor defining the driving capacity, for example: in a wind power gearbox planetary gear train, the tooth root strength of a planetary gear is often the weakest ring in torque transmission. Improving the tooth root stress distribution can improve the bearing capacity of the product, and optimizing the gear root transition curve can effectively improve the tooth root stress distribution.
In production, the hobbing is most widely used. Currently, a hob usually adopts a full-arc structure, and the strength of the tooth root of a gear machined by using the hob is weaker.
Disclosure of Invention
In order to solve the defects in the prior art, the invention provides a double-pieced curve type gear hob, and compared with a full-arc hob bit structure, the hob structure can generate larger hob tooth crest curvature radius. The curvature distribution on the root excessive curve of the conjugate tooth form can be effectively improved, the curvature radius of the root excessive curve is increased, the maximum stress of the root is reduced, and the tooth root strength of the involute gear is improved.
In order to achieve the above object, the present invention adopts the following scheme:
a double-split curve gear hob comprising: a plurality of cutter teeth; the tooth profile of the hob tooth includes: the first tooth root straight line, the first main cutting straight line, the first auxiliary cutting straight line, the first tooth top curve, the second auxiliary cutting straight line, the second main cutting straight line and the second tooth root straight line are connected in sequence.
The first tooth top curve is connected with the first pair of cutting straight lines and tangent at a connecting point; the second tooth top curve is connected with the second auxiliary cutting straight line and tangent at a connecting point; the first tooth top curve and the second tooth top curve are connected and tangent at a connecting point; the first tooth top curve consists of a first top arc and a first bottom arc which are connected; the second tooth top curve consists of a second top arc and a second bottom arc which are connected; the first top arc is connected to the second top arc; the first bottom arc is connected to the first pair of cutting lines; the second bottom arc is connected to the second secondary cutting line.
The hob tooth defines a symmetry line; the first secondary cutting line, the first primary cutting line, and the first root line are symmetrical with the second secondary cutting line, the second primary cutting line, and the second root line about a line of symmetry.
An intersection point of a straight line passing through a connection point of the first addendum curve and the first sub cutting straight line and perpendicular to the first sub cutting straight line and the symmetry line is defined as a first external control point of the first addendum curve; the connection point of the first top arc and the first bottom arc is defined as a first inner control point of the first addendum curve; the distance between the first inner control point and the first outer control point is set as ru; the distance between the connecting point of the first tooth top curve and the first auxiliary cutting straight line and the first external control point is set as r; an included angle between a connecting line of a connecting point of the first tooth top curve and the first auxiliary cutting straight line to the first external control point and a connecting point of the first tooth top curve and the second tooth top curve to the first external control point is set to be beta; the setting of the first inner control point satisfies the following formula: cos (. Beta./2) < ru < r.
Further, a symmetry line is defined as the Y-axis; defining the intersection point of the whole formed by the first tooth top curve and the second tooth top curve and the symmetry line as the origin of coordinates; establishing a coordinate system, wherein coordinates of points on a first tooth top curve are (x, y), and the following formula is satisfied: y=a×x 2 +b*x 3 The method comprises the steps of carrying out a first treatment on the surface of the a and b are constants.
Further, the first top arc and the second top arc are symmetrical about a line of symmetry.
Further, the first bottom arc and the second bottom arc are symmetrical about a line of symmetry.
Further, the first top arc and the first bottom arc are symmetrical about a line connecting the first outer control point and the first inner control point.
Further, the first top arc and the first bottom arc are tangent at a connection point.
Further, the second top arc and the second bottom arc are tangent at a connection point.
The invention has the advantages that the double-pieced curve hob tooth-shaped structure is adopted, compared with the full-arc hob tooth-shaped structure, the larger hob tooth top curvature radius can be generated, the curvature distribution on the tooth root overstep curve can be effectively improved, the maximum stress of the tooth root is reduced, and the tooth root strength of the involute gear is improved.
Drawings
FIG. 1 is a schematic illustration of the tooth profile of the hob teeth of a double-split curve gear hob according to one embodiment of the present invention.
The hob tooth 100, the symmetry line 101, the first root straight line AB, the first main cutting straight line BC, the first secondary cutting straight line CD, the first tip curve DF, the second tip curve D 'F, the second secondary cutting straight line C' D ', the second main cutting straight line B' C ', the second root straight line a' B ', the first top arc EF, the first bottom arc DE, the second top arc E' F, the second bottom arc D 'E'.
Detailed Description
The invention is described in detail below with reference to the drawings and the specific embodiments.
As shown in fig. 1, a double-split curve gear hob includes: a plurality of cutter teeth 100. The tooth profile of the hob tooth 100 includes: the first root straight line AB, the first main cutting straight line BC, the first sub-cutting straight line CD, the first addendum curve DF, the second addendum curve D ' F, the second sub-cutting straight line C ' D ', the second main cutting straight line B ' C ', and the second root straight line a ' B ' are sequentially connected.
The first addendum curve DF is connected with the first minor cutting straight line CD and tangent at the connecting point. Specifically, the first addendum curve DF and the first cutting straight line CD are connected at the point D, or the connection point is the point D. The first addendum curve DF and the first minor cutting straight line CD are tangent at point D.
The second addendum curve D ' F and the second minor cutting straight line C ' D ' are connected and tangent at the connecting point. Specifically, the second addendum curve D ' F and the second sub-cutting straight line C ' D ' are connected at the point D ', or the connection point is the point D '. The second addendum curve D 'F and the second sub-cutting straight line C' D 'are tangent at point D'.
The first addendum curve DF and the second addendum curve D' F are connected and tangent at the connecting point. Specifically, the first addendum curve DF and the second addendum curve D' F are connected at the point F, or the connection point is the point F. The first addendum curve DF and the second addendum curve D' F are tangent at the point F.
The first tooth tip curve DF is composed of a first top arc EF and a first bottom arc DE connected. The first bottom arc DE is connected to the first pair of cutting lines CD at the point D. The second tooth top curve D 'F is composed of a second top arc E' F and a second bottom arc D 'E' connected. The second bottom arc D ' E ' is connected to a second secondary cutting straight line C ' D ' at the point D '. The first top arc EF is connected to the second top arc E' F. The connection point is the point F.
The hob tooth 100 defines a symmetry line 101. The first secondary cutting straight line CD, the first primary cutting straight line BC and the first root straight line AB are symmetrical with the second secondary cutting straight line C 'D', the second primary cutting straight line B 'C' and the second root straight line a 'B' about the symmetry line 101.
An intersection of a straight line passing through a connection point of the first addendum curve DF and the first sub cutting straight line CD and perpendicular to the first sub cutting straight line CD and the symmetry line 101 is defined as a first outer control point O of the first addendum curve DF. Line segment OD is perpendicular to line segment CD.
The connection point of the first top arc EF and the first bottom arc DE is defined as a first inner control point E of the first addendum curve DF. The distance between the first inner control point E and the first outer control point O is set to ru. The distance between the connection point of the first addendum curve DF and the first sub cutting straight line CD to the first outer control point O is set to r. An angle between a connecting line of the first addendum curve DF and the first secondary cutting straight line CD to the first external control point O and a connecting line of the first addendum curve DF and the second addendum curve D' F to the first external control point O is set to be β. I.e. the angle between the line segment OD and the line segment OF is beta. The setting of the first inner control point E satisfies the following formula: cos (. Beta./2) < ru < r.
The symmetry line 101 is defined as the Y-axis. An intersection point of the symmetry line 101 and the whole of the first addendum curve DF and the second addendum curve D' F is defined as an origin of coordinates. The origin of coordinates is the point F. Establishing a coordinate system, wherein coordinates of points on a first addendum curve DF are (x, y), and the following formula is satisfied: y=a×x 2 +b*x 3 . a and b are constants.
Compared with the tooth-shaped structure of the full-arc hob, the special tooth-shaped structure of the double-pieced curve hob can generate larger hob tooth top curvature radius, can effectively improve curvature distribution on the excessive curve of the tooth root, reduces maximum stress of the tooth root, and improves tooth root strength of the involute gear.
As a specific embodiment, the first top arc EF and the second top arc E' F are symmetrical about the symmetry line 101. Further, the first bottom arc DE and the second bottom arc D 'E' are symmetrical about the symmetry line 101.
As a specific embodiment, the first top arc EF and the first bottom arc DE are symmetrical with respect to the line connecting the first outer control point O and the first inner control point E. I.e. the first top arc EF and the first bottom arc DE are symmetrical with respect to the OE line segment. Further, the second top arc E ' F and the second bottom arc D ' E ' are symmetrical about the line connecting the second outer control point and the second inner control point.
As a specific embodiment, the first top arc EF and the first bottom arc DE are tangent at the connection point. The first top arc EF and the first bottom arc DE are tangent, and the tangent point is the point E. The second top arc E ' F and the second bottom arc D ' E ' are tangent at the point of connection.
The foregoing has shown and described the basic principles, principal features and advantages of the invention. It will be appreciated by persons skilled in the art that the above embodiments are not intended to limit the invention in any way, and that all technical solutions obtained by means of equivalent substitutions or equivalent transformations fall within the scope of the invention.

Claims (1)

1. A double-split curve gear hob comprising: a plurality of cutter teeth; it is characterized in that the method comprises the steps of,
the tooth profile of the hob tooth includes: the first tooth root straight line, the first main cutting straight line, the first auxiliary cutting straight line, the first tooth top curve, the second auxiliary cutting straight line, the second main cutting straight line and the second tooth root straight line are connected in sequence;
the first tooth top curve is connected with the first auxiliary cutting straight line and tangent at a connecting point; the second tooth top curve is connected with the second auxiliary cutting straight line and tangent at a connecting point; the first tooth top curve and the second tooth top curve are connected and tangent at a connecting point; the first tooth top curve consists of a first top arc and a first bottom arc which are connected; the second tooth top curve consists of a second top arc and a second bottom arc which are connected; the first top arc is connected to the second top arc; the first bottom arc is connected to the first pair of cutting lines; the second bottom arc is connected to the second secondary cutting line;
the hob teeth define a symmetry line; the first secondary cutting line, the first primary cutting line, and the first root line are symmetrical with the second secondary cutting line, the second primary cutting line, and the second root line about the symmetry line;
an intersection point of a straight line passing through a connection point of the first addendum curve and the first sub-cutting straight line and perpendicular to the first sub-cutting straight line and the symmetry line is defined as a first external control point of the first addendum curve; a connection point of the first top arc and the first bottom arc is defined as a first inner control point of the first addendum curve; the distance between the first inner control point and the first outer control point is set as ru; a distance between a connection point of the first addendum curve and the first secondary cutting straight line and the first outer control point is set to r; an included angle between a connecting line of a connecting point of the first tooth top curve and the first auxiliary cutting straight line to a first external control point and a connecting point of the first tooth top curve and the second tooth top curve to the first external control point is set to be beta; the setting of the first internal control point satisfies the following formula: cos (β/2) < ru < r;
defining the symmetry line as a Y-axis; defining the intersection point of the symmetry line and the whole formed by the first tooth top curve and the second tooth top curve as a coordinate origin; establishing a coordinate system, wherein coordinates of points on the first tooth top curve are (x, y), and the following formula is satisfied: y=a×x 2 +b*x 3 The method comprises the steps of carrying out a first treatment on the surface of the a and b are constants;
the first top arc and the second top arc are symmetrical about the symmetry line;
the first bottom arc and the second bottom arc are symmetrical about the symmetry line;
the first top arc and the first bottom arc are symmetrical about a line connecting the first outer control point and the first inner control point;
the first top arc and the first bottom arc are tangent at a connection point;
the second top arc and the second bottom arc are tangent at a connection point.
CN201910343039.6A 2019-04-26 2019-04-26 Double-spelling curve type gear hob Active CN110052666B (en)

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CN110052666B true CN110052666B (en) 2024-03-01

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Families Citing this family (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN113399753B (en) * 2021-05-31 2022-09-16 西安法士特汽车传动有限公司 Elliptical arc hob for improving contact ratio of gears
CN115837492B (en) * 2023-01-13 2024-07-12 绵阳市绵工工具有限公司 Method for improving gear tooth root envelope precision in hob generating method machining

Citations (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH0866828A (en) * 1994-08-24 1996-03-12 Kyoiku Haguruma Kogyo Kk Hob cutter for generating logics gear
CN102072308A (en) * 2011-01-21 2011-05-25 重庆大学 Bevel gear with combined arc tooth profile curves and involute tooth profile curves
DE102013004861B3 (en) * 2013-03-21 2014-02-27 Voith Patent Gmbh Toothing of a gear
CN104889505A (en) * 2015-06-08 2015-09-09 南车戚墅堰机车车辆工艺研究所有限公司 Asymmetrical hob and design method thereof
WO2016197905A1 (en) * 2015-06-08 2016-12-15 中车戚墅堰机车车辆工艺研究所有限公司 Gear-cutting hob and designing method therefor, and non-fully-symmetric involute gear and machining method therefor
CN206036178U (en) * 2016-09-26 2017-03-22 重庆大学 Two point -contact type helical gears
CN109304524A (en) * 2018-10-16 2019-02-05 西安法士特汽车传动有限公司 A kind of salient angle type hobboing cutter and preparation method thereof
CN210172718U (en) * 2019-04-26 2020-03-24 南京高速齿轮制造有限公司 Double-spliced curve type gear hob

Patent Citations (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH0866828A (en) * 1994-08-24 1996-03-12 Kyoiku Haguruma Kogyo Kk Hob cutter for generating logics gear
CN102072308A (en) * 2011-01-21 2011-05-25 重庆大学 Bevel gear with combined arc tooth profile curves and involute tooth profile curves
DE102013004861B3 (en) * 2013-03-21 2014-02-27 Voith Patent Gmbh Toothing of a gear
CN104889505A (en) * 2015-06-08 2015-09-09 南车戚墅堰机车车辆工艺研究所有限公司 Asymmetrical hob and design method thereof
WO2016197905A1 (en) * 2015-06-08 2016-12-15 中车戚墅堰机车车辆工艺研究所有限公司 Gear-cutting hob and designing method therefor, and non-fully-symmetric involute gear and machining method therefor
CN206036178U (en) * 2016-09-26 2017-03-22 重庆大学 Two point -contact type helical gears
CN109304524A (en) * 2018-10-16 2019-02-05 西安法士特汽车传动有限公司 A kind of salient angle type hobboing cutter and preparation method thereof
CN210172718U (en) * 2019-04-26 2020-03-24 南京高速齿轮制造有限公司 Double-spliced curve type gear hob

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