CN109033723B - Hypoid gear small wheel non-offset rolling die design and manufacturing method - Google Patents
Hypoid gear small wheel non-offset rolling die design and manufacturing method Download PDFInfo
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- 238000005096 rolling process Methods 0.000 title claims abstract description 41
- 238000004519 manufacturing process Methods 0.000 title claims abstract description 18
- 238000013461 design Methods 0.000 title claims abstract description 17
- 238000012545 processing Methods 0.000 claims abstract description 19
- 238000005520 cutting process Methods 0.000 claims description 22
- 238000003754 machining Methods 0.000 claims description 20
- 238000000034 method Methods 0.000 claims description 18
- 238000006243 chemical reaction Methods 0.000 claims description 5
- 238000012937 correction Methods 0.000 claims description 5
- 239000011159 matrix material Substances 0.000 claims description 5
- 238000004364 calculation method Methods 0.000 claims description 4
- 238000012805 post-processing Methods 0.000 claims description 3
- 210000000332 tooth crown Anatomy 0.000 claims description 3
- 238000000465 moulding Methods 0.000 claims description 2
- 238000009434 installation Methods 0.000 abstract 1
- 238000003801 milling Methods 0.000 description 5
- 238000005457 optimization Methods 0.000 description 3
- 238000010586 diagram Methods 0.000 description 2
- 238000005242 forging Methods 0.000 description 2
- 238000005098 hot rolling Methods 0.000 description 2
- 230000033001 locomotion Effects 0.000 description 2
- 239000002184 metal Substances 0.000 description 2
- 238000009825 accumulation Methods 0.000 description 1
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/17—Mechanical parametric or variational design
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H55/00—Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
- F16H55/02—Toothed members; Worms
- F16H55/08—Profiling
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H55/00—Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
- F16H55/02—Toothed members; Worms
- F16H55/17—Toothed wheels
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H55/00—Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
- F16H55/02—Toothed members; Worms
- F16H55/17—Toothed wheels
- F16H2055/173—Crown gears, i.e. gears have axially arranged teeth
Abstract
The invention relates to the technical field of gear rolling, in particular to a hypoid gear small wheel non-offset rolling die design and a manufacturing method. This rolling die includes first mould gear and the second mould gear that sets up with the coaxial symmetry of first mould gear, and the centre gripping is treated rolling hypoid gear steamboat in the middle of two mould gears, and the design of mould gear is according to being: the offset distance of the gear to be rolled is zero, the pitch cone vertex of the gear to be rolled is superposed with the pitch cone vertex of the two die gears at the final rolling position, and the tooth surface equation of the two die gears is determined by combining the tooth surface equation of the gear to be rolled. The processing of the hypoid gear small wheel without offset is realized, and the problem of poor rolling precision caused by offset installation of two die gears when the hypoid gear small wheel is rolled is solved.
Description
Technical Field
The invention relates to the technical field of gear rolling, in particular to a hypoid gear small wheel non-offset rolling die design and a manufacturing method.
Background
Near net shape manufacturing is the development direction of green manufacturing of machine parts in the 21 st century. The precision forging near-net forming of the straight bevel gear of the automobile differential has already been industrialized at present. Because the hypoid gear small wheel has a complex tooth profile structure, the gear teeth are distributed in a spiral line and have a large spiral angle, precision forging near-net forming demoulding is difficult, and the design and manufacturing technology of a tooth profile mould is also very complex, so that the hypoid gear is manufactured by using the traditional cutting tooth making mode at present, the material and energy consumption is high, and the service life cannot meet the requirement of high-end equipment.
In a paper entitled "numerical simulation research of spiral bevel gear small wheel hot rolling forming process" in journal of mechanical transmission of 8 th volume, 41 th day, 15 th day, 2017, a method for hot rolling of spiral bevel gear small wheels is disclosed, in the rolling process, two rolling wheels rotate and have a certain feeding speed along the axial direction, and along with the accumulation increase of feeding amount, a wheel blank generates plastic deformation, and the metal of a tooth-shaped part correspondingly protrudes. The metal of the raised portion is formed into a tooth shape by a generating motion when the rolling wheel and the blank are brought into contact to cause mutual rotation, and the tooth shape is rolled on the blank. Because the two-wheel offset distance of the spiral bevel gear pair is zero, the axial forces generated by the two die gears during rolling are the same in magnitude and opposite in direction, so that the stress balance can be achieved, the rolling forming of the spiral bevel gear is facilitated, and the tooth profile of the die gear is basically the same as that of the spiral bevel gear. However, the large wheel and the small wheel of the hypoid gear must be installed in an offset manner, as shown in fig. 1, rolling according to the method causes the axial force applied to the two die gears to generate torque, so that the die gears are deformed, and the tooth surface precision of the hypoid gear to be rolled is influenced. In addition, when the small gear wheel is rolled, if the offset distance between the die gear and the small gear wheel is zero, the tooth profile of the die gear is far different from that of the large hypoid gear wheel, and the design and manufacturing difficulty is high.
Disclosure of Invention
The invention aims to provide a design method of a hypoid gear small wheel non-offset rolling die, which is used for solving the problem of poor precision when the hypoid gear small wheel is rolled; in order to accurately manufacture the die, the invention also provides a manufacturing method of the offset-free rolling die for the hypoid small gear wheel.
In order to realize the processing and production of the small gear of the non-offset hypoid gear, the problem of poor precision when the small gear of the hypoid gear is rolled is solved; the invention provides a hypoid gear small wheel non-offset rolling die design method, which is characterized in that according to the relation that a die gear and a gear small wheel to be rolled are installed in a non-offset manner and the pitch cone vertex of the gear small wheel to be rolled is superposed with the pitch cone vertex of the die gear at a final rolling position, and the tooth surface equation of the gear small wheel to be rolled is r p (u p ,θ p )，Determining the tooth surface equation r of a die gear g Comprises the following steps:
in the formula u p And theta p For the flank parameters, Z, of the pinion of the gear to be rolled p And Z g Respectively the number of teeth of a small gear of a gear to be rolled and the number of teeth of a die,
is the meshing corner of the small gear wheel to be rolled; wherein, according to the meshing relationship between the small gear to be rolled and the die gear, the meshing angle of the small gear to be rolled
The following equation is satisfied:
wherein A, B and C are respectively the curved surface coordinates u of the small gear to be rolled p And theta p As a function of (c).
Further, in order to accurately design the design, the design method further comprises the step of determining the tooth blank parameters of the die gear according to the tooth blank parameters of the small gear to be rolled as follows:
δ ga ＝90°-δ p +θ pr
δ gr ＝90°-δ p -θ pt
R gs ＝R p -0.5b p
R gb ＝R p +0.5b p
h gr ＝h pt
h gt ＝h pr
wherein, delta ga Face cone angle, delta, of die gear gr Root angle, R, of die gear gs For the small end of a die gearPitch cone distance, R gb Large end pitch cone pitch, h, of the die gear gr Root height of teeth of die gear h gt For the tooth crown height, delta, of the die gear p The pitch angle, theta, of the small gear wheel to be rolled pr Root angle, theta, of small gear wheels to be rolled pt For the tip angle, R, of a small gear wheel to be rolled p The middle point cone distance of the small gear wheel to be rolled, b p Width of the teeth of the pinion to be rolled, h pt The tooth crest height of the small gear wheel to be rolled h pr The tooth root of the pinion to be rolled is high.
Further, in order to accurately obtain the tooth surface equation of the small gear wheel, the design method also comprises the calculation of the tooth surface equation of the small gear wheel to be rolled, and the tooth surface equation r of the small gear wheel to be rolled p (u p ,θ p ) According to the tool tooth profile equation r of a small gear wheel to be rolled in gear cutting machining c (u c ,θ c ) Obtaining:
r p (u p ,θ p )＝M pc (Ω)r c (u c ,θ c )
Ω＝{I,J,S r1 ,q 1 ,i,E 1 ,X 1 ,X b1 ,γ 1 }
u p ＝f(Ω,u c )
θ p ＝f(Ω,θ c )
wherein u is c And theta c As a parameter of the curved surface of the tooth profile of the tool, M pc Is a conversion matrix from a cutter coordinate system to a gear small wheel coordinate system to be rolled, and omega is a set of gear small wheel processing parameters, and the set comprises a basic cutter inclination angle I, a basic cutter corner J and a radial cutter position S r1 Angular tool position q 1 Roll ratio i, vertical wheel position E 1 Horizontal wheel position X 1 Bed X b1 And a mounting angle gamma 1 。
In order to realize the manufacture of the die and improve the manufacturing precision of the die gear, the invention provides a method for manufacturing a hypoid small gear wheel unbiased rolling die, which comprises the following steps:
1) According to the cutting edge of the cutter teethEstablishing a tooth surface equation r of the small gear to be rolled by combining a cutter tooth profile equation and the relation between a coordinate system and a coordinate system of the small gear to be rolled p (u p ,θ p )：
r p (u p ,θ p )＝M pc (Ω)r c (u c ,θ c )
Ω＝{I,J,S r1 ,q 1 ,i,E 1 ,X 1 ,X b1 ,γ 1 }
u p ＝f(Ω,u c )
θ p ＝f(Ω,θ c )
Tooth surface equation r of small wheel p (u p ,θ p ) According to the tool tooth profile equation r of a small gear wheel to be rolled in gear cutting machining c (u c ,θ c ) To obtain, wherein: u. u c And theta c As parameters of the curved surface of the tool tooth profile, M pc Is a conversion matrix from a cutter coordinate system to a gear small wheel coordinate system to be rolled, and omega is a set of gear small wheel processing parameters, and the set comprises a basic cutter inclination angle I, a basic cutter corner J and a radial cutter position S r1 Angular tool position q 1 Roll ratio i, vertical wheel position E 1 Horizontal wheel position X 1 Bed X b1 And a mounting angle gamma 1 ；
2) According to the relation that a die gear and a small gear wheel to be rolled are installed in a non-offset mode and the pitch cone vertex of the small gear wheel to be rolled and the pitch cone vertex of the die gear coincide at the final rolling position, combining the tooth surface equation of the small gear wheel to be rolled into r p (u p ,θ p ) Determining the tooth surface equation r of the die gear g Comprises the following steps:
in the formula u p And theta p For the flank parameters of the pinion to be rolled, Z p And Z g Respectively the number of teeth of a small gear of the gear to be rolled and the number of teeth of a gear of the die,
is the meshing corner of the small gear wheel to be rolled; wherein, according to the meshing relationship between the small gear wheel to be rolled and the die gear, the meshing angle of the small gear wheel to be rolled
The following equation is satisfied:
wherein A, B and C are respectively the curved surface coordinates u of the small gear to be rolled p And theta p A function of (a);
3) According to the tooth surface equation of the die gear, solving a die gear tooth surface as a target tooth surface, on a determined gear cutting machining machine tool, taking a tooth surface corresponding to the initial gear cutting machining parameter as an actual machining tooth surface, optimizing the gear cutting machining adjustment parameter until the error between the actual machining tooth surface and the target tooth surface is within a set error range, and machining the die gear by using the optimized gear cutting machining adjustment parameter, wherein the optimized gear cutting machining adjustment parameter has the following optimization correction function relation formula:
wherein k =1,2, \8230, N denotes the number of tooth surface points, and Δ r denotes an error between a target tooth surface and an actually machined tooth surface, where Δ r = r 2 -r 1 (u p ,θ p ,Π i )，Π i The method is characterized by representing a set of rough cutting machining parameters of an actually machined tooth surface of a die gear, wherein i =1,2 1 Is a target tooth flank radial vector, r, of the die gear 2 The tooth flank radius vector is actually processed for the die gear.
Further, in order to rapidly and accurately process the die, a ball end milling cutter or a cone milling cutter is adopted to process the hypoid gear small wheel non-offset rolling die on a general processing center, and the gear is processed according to the tooth of the die gearEquation of surface
And the gear parameters of the die gear are used for molding the non-offset rolling die in three-dimensional molding software, a numerical control machining program is generated based on the three-dimensional model of the die and the post-processing function of the software, and the machining of the hypoid gear small wheel non-offset rolling die is completed on a general machining center.
Drawings
FIG. 1 is a schematic view of a hypoid pinion offset die gear rolling state of the prior art;
FIG. 2 is a schematic view of a hypoid gear small wheel unbiased roll forming movement;
FIG. 3 is a mold gear tooth surface equation calculation coordinate system of the present invention;
FIG. 4 is a tooth surface equation calculation coordinate system for a hypoid gear small wheel to be rolled in accordance with the present invention;
FIG. 5 is a geometric parameter schematic diagram of a hypoid gear wheel to be rolled according to the present invention;
FIG. 6 is a schematic view of the mold gear geometry of the present invention;
FIG. 7 is a schematic illustration of the error between the target tooth surface and the actual machined tooth surface of the die gear of the present invention;
FIG. 8 is a schematic view of the die gear of the present invention being machined with a ball end mill.
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings.
The invention provides a hypoid gear small wheel non-offset rolling die and a design method thereof, wherein the rolling die comprises a first die gear and a second die gear which is coaxially and symmetrically arranged with the first die gear, the small wheel of the hypoid gear to be rolled is clamped between the two die gears, as shown in figure 2, the first die gear is a driving die gear, the second die gear is an auxiliary die gear, the offset distance between the die gear and the small wheel of the gear to be rolled is zero, the two die gears reversely and synchronously rotate and axially feed and roll the small wheel of the gear to be rolled, and the pitch cone vertex points of the die gear and the small wheel of the gear to be rolled coincide at the final rolling position.
The coordinate system is solved by establishing the tooth surface equation of the gear of the die according to the conditions, and as shown in figure 3, the tooth surface of the pinion rotates
Angle to coordinate system S p1 And by combining the vertical and unbiased position relation between the axes of the die gear and the small gear, an equation between the hypoid small gear tooth surface from a small gear coordinate system to a die gear coordinate system can be established, and the tooth surface of the unbiased die gear can be calculated by a conjugate relation.
Equation r of tooth surface of die gear g Comprises the following steps:
in the formula u p And theta p For the flank parameters, Z, of the pinion of the gear to be rolled p And Z g Respectively the number of teeth of a small gear of the gear to be rolled and the number of teeth of a gear of the die,
is the meshing angle of the small gear to be rolled; wherein, according to the meshing relationship between the small gear wheel to be rolled and the die gear, the meshing angle of the small gear wheel to be rolled
The following equation is satisfied:
wherein A, B and C are respectively the curved surface coordinates u of the small gear to be rolled p And theta p Is measured as a function of (c).
According to the establishment of the machining coordinate system of the small wheel, as shown in fig. 4, the cutting edge equation of the cutter is converted into the coordinate system of the small gear wheel through the cutter tilting body, the cutter rotating body, the cradle, the bed, the vertical wheel position adjusting mechanism and the horizontal wheel position adjusting mechanism, so that the tooth surface equation of the small gear wheel is established, and the tooth surface of the small gear wheel to be rolled is calculated.
If the tooth profile equation of a cutter for processing the gear to be rolled is r c (u c ,θ c ) Equation r of tooth surface of small gear wheel to be rolled p (u p ,θ p ) Comprises the following steps:
r p (u p ,θ p )＝M pc (Ω)r c (u c ,θ c )
Ω＝{I,J,S r1 ,q 1 ,i,E 1 ,X 1 ,X b1 ,γ 1 }
u p ＝f(Ω,u c )
θ p ＝f(Ω,θ c )
wherein u is c And theta c As a parameter of the curved surface of the tooth profile of the tool, M pc Is a conversion matrix from a tool coordinate system to a gear small wheel coordinate system, and omega is a set of gear small wheel processing parameters, and the set comprises a basic tool inclination angle I, a basic tool rotation angle J and a radial tool position S r1 Angular tool position q 1 Roll ratio i, vertical wheel position E 1 Horizontal wheel position X 1 Bed X b1 And the mounting angle gamma 1 。
According to the geometric parameters of the small wheel to be rolled, as shown in FIG. 5, and the geometric parameters of the die gear blank, as shown in FIG. 6, the following relationship exists between the tooth blank parameters of the die gear and the tooth blank parameters of the small gear to be rolled:
δ ga ＝90°-δ p +θ pr
δ gr ＝90°-δ p -θ pt
R gs ＝R p -0.5b p
R gb ＝R p +0.5b p
h gr ＝h pt
h gt ＝h pr
wherein, delta ga For face cone angle, delta, of the die gear gr Root cone of die gearCorner, R gs For small end pitch cone pitch, R, of the mould gear gb Large end pitch cone pitch, h, of the die gear gr Root height of teeth of die gear h gt For the tooth crown height, delta, of the die gear p Pitch angle, theta, of small gear wheels to be rolled pr Root angle, theta, of small gear wheels to be rolled pt For the tip angle, R, of a small gear wheel to be rolled p The middle point cone distance of the small gear wheel to be rolled, b p Width of the teeth of the pinion to be rolled, h pt The tooth crest height h of the small gear wheel to be rolled pr The tooth root of the small gear to be rolled is high.
The invention provides a hypoid gear small wheel non-offset rolling die and a tooth cutting manufacturing method based on a numerical control gear milling machine.
And calculating the error between the machined tooth surface and the target tooth surface, and optimizing each machining adjusting parameter by taking the reduced error as a target so that the error between the machined tooth profile and the tooth profile of the mold gear can meet the design requirement. According to the two-tooth surface error diagram, as shown in fig. 7, the error between the target tooth surface and the actual processed tooth surface has the following relationship:
Δr＝r 2 -r 1 (u p ,θ p ,Π i )
therein, II i The method is characterized by representing a set of rough cutting machining parameters of an actually machined tooth surface of a die gear, wherein i =1,2 1 Is a target tooth surface radial vector of the die gear 2 And actually processing a tooth surface radius vector for the die gear.
And establishing a machining parameter optimization correction function, and calculating the correction of each machining adjustment parameter. The optimization correction function relation is as follows:
wherein k =1,2, \ 8230and N indicates the number of tooth surface points.
The invention also provides a manufacturing method for processing the hypoid gear small wheel unbiased rolling die by aligning the ball-end cutter or the conical milling cutter to the hypoid gear small wheel based on the universal processing center, as shown in figure 8, according to the hypoid gear small wheel unbiased rolling die tooth surface equation
And the tooth blank parameters of the die gear, the tooth surface of the non-offset rolling die gear is shaped in three-dimensional software, a numerical control processing program is generated based on the three-dimensional model of the die and the post-processing function of the software, and a universal processing center is adopted to finish the processing of the hypoid gear pinion non-offset rolling die by using a ball head cutter or a cone milling cutter.
The present invention has been described in relation to particular embodiments thereof, but the invention is not limited to the described embodiments. Under the thought given by the invention, the technical means in the above embodiment is changed, replaced and modified in a manner that is easily imaginable to those skilled in the art, and the function is basically the same as that of the corresponding technical means in the invention, and the purpose of the invention is also basically the same, and the technical scheme formed in this way is formed by fine tuning the above embodiment, and still falls into the protection scope of the invention.
Claims (5)
1. A method for designing a hypoid small gear wheel unbiased rolling die is characterized in that according to the relation that a die gear and a small gear wheel to be rolled are installed without bias, the pitch cone vertex of the small gear wheel to be rolled is coincided with the pitch cone vertex of the die gear at the final rolling position, and the tooth surface equation of the small gear wheel to be rolled is r p (u p ,θ p ) Determining the tooth surface equation r of the die gear g Comprises the following steps:
in the formula u p And theta p For the flank parameters of the pinion to be rolled, Z p And Z g Respectively the number of teeth of a small gear of the gear to be rolled and the number of teeth of a gear of the die,
is the meshing angle of the small gear to be rolled; wherein, according to the meshing relationship between the small gear wheel to be rolled and the die gear, the meshing angle of the small gear wheel to be rolled
The following equation is satisfied:
wherein A, B and C are respectively the curved surface coordinates u of the small gear to be rolled p And theta p As a function of (c).
2. The hypoid gear small wheel unbiased rolling die design method according to claim 1, further comprising determining die gear tooth blank parameters according to the tooth blank parameters of the gear small wheel to be rolled as:
δ ga ＝90°-δ p +θ pr
δ gr ＝90°-δ p -θ pt
R gs ＝R p -0.5b p
R gb ＝R p +0.5b p
h gr ＝h pt
h gt ＝h pr
wherein, delta ga For face cone angle, delta, of the die gear gr Root angle, R, of die gear gs For small end pitch cone pitch, R, of the mould gear gb Large end pitch cone pitch, h, of the die gear gr Root height of teeth of die gear h gt For the tooth crown height, delta, of the die gear p Pitch cone for small gear wheel to be rolledAngle theta pr Root angle, theta, of small gear wheels to be rolled pt For the tip angle, R, of a small gear wheel to be rolled p The middle point cone distance of the small gear wheel to be rolled, b p For the tooth width of the pinion to be rolled, h pt The tooth crest height h of the small gear wheel to be rolled pr The tooth root of the pinion to be rolled is high.
3. The hypoid gear small wheel unbiased roll die design method as claimed in claim 2, further comprising tooth surface equation calculation of the gear small wheel to be rolled, the tooth surface equation r of the gear small wheel to be rolled p (u p ,θ p ) According to the tooth profile equation r of a tool of a small gear to be rolled in gear cutting c (u c ,θ c ) Obtaining:
r p (u p ,θ p )＝M pc (Ω)r c (u c ,θ c )
Ω＝{I,J,S r1 ,q 1 ,i,E 1 ,X 1 ,X b1 ,γ 1 }
u p ＝f(Ω,u c )
θ p ＝f(Ω,θ c )
wherein u is c And theta c As parameters of the curved surface of the tool tooth profile, M pc Is a conversion matrix from a cutter coordinate system to a gear small wheel coordinate system to be rolled, and omega is a set of gear small wheel processing parameters, and the set comprises a basic cutter inclination angle I, a basic cutter corner J and a radial cutter position S r1 Angular tool position q 1 Roll ratio i, vertical wheel position E 1 Horizontal wheel position X 1 Bed X b1 And the mounting angle gamma 1 。
4. A hypoid gear small wheel non-offset rolling die manufacturing method is characterized by comprising the following steps:
1) According to the relation between the cutting edge coordinate system of the cutter teeth of the cutter and the coordinate system of the pinion to be rolled, combining the tooth profile equation of the cutter to establish the tooth surface equation r of the pinion to be rolled p (u p ,θ p )：
r p (u p ,θ p )＝M pc (Ω)r c (u c ,θ c )
Ω＝{I,J,S r1 ,q 1 ,i,E 1 ,X 1 ,X b1 ,γ 1 }
u p ＝f(Ω,u c )
θ p ＝f(Ω,θ c )
Equation r of tooth surface of small wheel p (u p ,θ p ) According to the tool tooth profile equation r of a small gear wheel to be rolled in gear cutting machining c (u c ,θ c ) To obtain, wherein: u. of c And theta c As a parameter of the curved surface of the tooth profile of the tool, M pc Is a conversion matrix from a cutter coordinate system to a gear small wheel coordinate system to be rolled, and omega is a set of gear small wheel processing parameters, and the set comprises a basic cutter inclination angle I, a basic cutter corner J and a radial cutter position S r1 Angular tool position q 1 Roll ratio i, vertical wheel position E 1 Horizontal wheel position X 1 Bed X b1 And a mounting angle gamma 1 ；
2) According to the relation that a die gear and a small gear wheel to be rolled are installed without offset and the pitch cone vertex of the small gear wheel to be rolled and the pitch cone vertex of the die gear coincide at the final rolling position, combining the tooth surface equation of the small gear wheel to be rolled to be r p (u p ,θ p ) Determining the tooth surface equation r of the die gear g Comprises the following steps:
in the formula u p And theta p For the flank parameters, Z, of the pinion of the gear to be rolled p And Z g Respectively the number of teeth of a small gear of the gear to be rolled and the number of teeth of a gear of the die,
is the meshing angle of the small gear to be rolled; wherein according to the gear to be rolled, the small wheelThe meshing relation between the die gears and the meshing angle of the small gear to be rolled
The following equation is satisfied:
wherein A, B and C are respectively the curved surface coordinates u of the small gear to be rolled p And theta p A function of (a);
3) The method comprises the following steps of solving a tooth surface equation of a die gear to obtain a die gear tooth surface as a target tooth surface, optimizing a gear cutting processing adjustment parameter on a determined gear cutting processing machine tool by using a tooth surface corresponding to a gear cutting processing initial parameter as an actual processing tooth surface until an error between the actual processing tooth surface and the target tooth surface is within a set error range, and processing the die gear by using the optimized gear cutting processing adjustment parameter, wherein the optimized correction function relation of the gear cutting processing adjustment parameter is as follows:
where k =1,2, ·, N denotes the number of tooth surface points, and Δ r denotes an error between the target tooth surface and the actually machined tooth surface, where Δ r = r 2 -r 1 (u p ,θ p ,Π i )，Π i The method is characterized by representing a set of rough cutting machining parameters of an actually machined tooth surface of a die gear, wherein i =1,2 1 Is a target tooth flank radial vector, r, of the die gear 2 The tooth flank radius vector is actually processed for the die gear.
5. A method of making a hypoid pinion unbiased roll die as claimed in claim 4 wherein the hypoid pinion unbiased roll die is machined on a general machining center using a ball end mill or a cone mill, depending on the dieEquation of tooth surface of gear
And the gear parameters of the die gear are used for molding the non-offset rolling die in three-dimensional molding software, a numerical control machining program is generated based on the three-dimensional model of the die and the post-processing function of the software, and the machining of the hypoid gear small wheel non-offset rolling die is completed on a general machining center.
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