CN106369139A - Method for obtaining machining parameters of hypoid gear meeting high-order transmission error - Google Patents

Abstract

The invention relates to a method for obtaining machining parameters of a hypoid gear meeting the high-order transmission error. The method comprises the following steps that (1) initial machining parameters of a gear wheel and a pinion in the hypoid gear are obtained through an existing tooth surface design method; (2) the gear wheel tooth surface point and the pinion tooth surface point conjugated with the gear wheel tooth surface point are worked out according to the initial machining parameters, and the machine tool machining parameters of the pinion tooth surface conjugated with the gear wheel are obtained; (3) a new pinion tooth surface is obtained according to the preset high-order transmission error curve, and a pinion modified surface is obtained through the new pinion tooth surface and the obtained pinion tooth surface conjugated with the gear wheel; (4) the pinion modified surface obtained in the step (3) is adjusted according to the preset contact imprint and half width of a contact oval, and a pinion modified surface meeting the preset high-order transmission error curve and the preset contact imprint is obtained; and (5) the machine tool machining parameters corresponding to the new tooth surface formed after the modified surface is additionally arranged on the pinion are worked out through a tooth surface high-order error inverse evaluation method.

Description

A kind of Machining of Near-Hyperboloid Gear parameter acquiring method meeting high order driving error

Technical field

The present invention relates to a kind of Machining of Near-Hyperboloid Gear parameter acquiring method meeting high order driving error, belong to gear Manufacture field.

Background technology

Hypoid gear is one of most important driving parts in drive system, it be widely used for automobile, aircraft, In the products such as naval vessel.The main driving error curve with gear pair of the transmission performance of hypoid gear and contact trace correlation. If the position of Gear Contact trace is unreasonable, unbalance loading and stress concentration can be caused.Driving error is gear wheel actual rotational angle and reason By the difference of corner, it reflects the change of gear drive medium velocity and displacement.For the gear pair of a pair of meshing, when relative velocity produces Mesh impact can be produced during raw mutation.Driving error curve is that the function of little gear corner is drawn, and its slope represents tooth The change of wheel relative velocity.Adjacent drive curve of error produces impact when the speed difference of transfer point leads to the gear teeth engaging-in.

In order to improve the performance of hypoid gear, litvin etc. is proposed and can be inhaled using parabolic rotation error Receive impact and alignment error, stadtfeld proposes quadravalence transmission after research symmetrical parabolic form driving error curve Curve of error, and think the driving error of parabolic when changing tooth because relative velocity causes, compared with conference, the impact changing tooth, And quadravalence driving error can reduce the impact causing due to relative velocity when changing tooth.Quadravalence driving error is had both at home and abroad Scholar has carried out the research of correlation to it, and the problem being primarily present in its research includes: the transmission that method for designing actually obtains Curve of error differs larger with anticipation；Only carry out the design of driving error and have ignored and face trace is controlled； Though some have carried out the control of contact trace but lack contact trace pre-control with actual result contrast it is impossible to illustrate for trace control Effect；Some are only applicable to quadravalence driving error curve.

Content of the invention

For the problems referred to above, it is an object of the invention to provide a kind of standard that can reduce hypoid gear high order driving error The acquisition methods of hypoid gear little gear flank of tooth machined parameters.

For achieving the above object, the present invention employs the following technical solutions: a kind of hypoid meeting high order driving error Gear Processing parameter acquiring method, comprises the following steps: 1) is obtained in hypoid gear according to existing tooth surface design method The initial manufacture parameter of gear wheel and little gear；2) gear wheel flank of tooth point and completely common with it is calculated according to initial manufacture parameter The pinion gear teeth cake of yoke, and obtain the Machine-settings with the little gear flank of tooth of gear wheel total conjugated；3) according to default High order driving error curve, obtain the new little gear flank of tooth, using this little gear flank of tooth and step 2) obtain and gear wheel The little gear flank of tooth of total conjugated obtains the little gear correction of the flank shape face only meeting default high order driving error curve；4) according to default Contact trace and Contact Ellipse half-breadth, to step 3) the little gear correction of the flank shape face that obtains is adjusted, obtains and meet default high order The little gear correction of the flank shape face of driving error curve and preset exposure trace；5) utilize flank of tooth high-order error reverse method, calculate little tooth Wheel additional step 4) obtain the new tooth behind the little gear correction of the flank shape face meeting default high order driving error curve and preset exposure trace The corresponding Machine-settings in face.

Described step 1) in obtain gear wheel and little gear the method for initial manufacture parameter be gleason method and acquisition Initial manufacture parameter include θ₁、φ₁、θ₂、φ₂、And v₁₂.

Described step 2) in as follows with the acquisition process of the Machine-settings of the little gear flank of tooth of gear wheel total conjugated:

Gear wheel flank of tooth point r is obtained according to formula (1)₂With normal direction n₂, pinion gear teeth cake r is obtained according to formula (2)₁And normal direction n₁；

$\left\{\begin{array}{c}{r}_2=r_2({\mathrm{\θ}}_2,{\mathrm{\φ}}_2)\\ n_2=n_2({\mathrm{\θ}}_2,{\mathrm{\φ}}_2)\end{array}\right.---\left(1\right)$

$\left\{\begin{array}{c}{r}_1=r_1({\mathrm{\θ}}_1,{\mathrm{\φ}}_1)\\ n_1=n_1({\mathrm{\θ}}_1,{\mathrm{\φ}}_1)\end{array}\right.---\left(2\right)$

Wherein, θ₁And φ₁Represent cutterhead corner during little gear processing and cage chair corner, θ respectively₂And φ₂Represent big respectively Cutterhead corner during Gear Processing and cage chair corner；

Using formula (3) and formula (4), obtain the pinion gear teeth cake coordinate with gear wheel total conjugatedAnd normal directionProfit With formula (5), obtain as follows with the little gear of bull wheel total conjugated and the poor curved surface △ r of the little gear flank of tooth being obtained according to formula (2):

$\mathrm{\δ}r=({\hat{r}}_1-r_1)\·{\hat{n}}_1---\left(5\right)$

Wherein,WithIt is respectively little gear corner and little gear initial position corner；WithIt is respectively canine tooth rotation Angle and gear wheel initial position corner；v₁₂Relative velocity for little gear and gear wheel；

This difference curved surface △ r is utilized hypoid gear tooth surface error reverse method, is calculated completely common with gear wheel The Machine-settings of the little gear flank of tooth of yoke.

Described step 3) in obtain little gear correction of the flank shape face process as follows:

Formula (6) is the general type of high order driving error curve

Wherein,For high order driving error value, a_sFor the coefficient of high order driving error curve, q is that high order driving error is bent The highest order of line；

According to the horizontal stroke of the extreme point in default high order driving error curve, vertical coordinate list the position equation of each extreme point with And extreme value equation, thus solve the coefficient a of high order driving error curve_s；

Recycling formula (4) and formula (6), obtain the pinion gear teeth cake meeting default high order driving error curve with gear wheelAnd selected and step 2 according to this flank of tooth) the pinion gear teeth cake with gear wheel total conjugated that obtains, obtained little using formula (8) The correction of the flank shape face σ of gear₁:

${\mathrm{\σ}}_1=({\tilde{r}}_1-{\hat{r}}_1)\·{\hat{n}}_1.---\left(8\right)$

Described step 4) the middle little gear correction of the flank shape face obtaining the default high order driving error curve of satisfaction and preset exposure trace Process as follows:

The correction of the flank shape face of taking projects to the two-dimension projection after plane, and in figure contact point trace line is divided into 3 sections, and wherein one section is tooth crest Point, one section is root portions, and the also straight line of one section of tooth connection apical tooth root, if the point on correction of the flank shape face falls on described 3 sections of straight lines Then it is not modified, to the point not fallen within correction of the flank shape face on described 3 sections of straight lines, reference formula (9) is according to preset exposure half-breadth pair Correction of the flank shape face is modified；

${\mathrm{\σ}}_2=0.00635{\left(\frac{l_1}{b}\right)}^2---\left(9\right)$

Wherein, l₁Arrive the distance of contact point trace line, definition design contact half a width of b, this point for this in two-dimension projection The correction of correction of the flank shape is σ₂, using formula (10) by σ₂With step 3) obtained by correction of the flank shape part σ₁It is added and obtain final repairing Shape face σ:

σ=σ₁+σ₂. (10)

Described step 5) flank of tooth high-order error reverse method that adopted is the method that rolling is than revising, carried out using the method Tooth surface error reverse, calculates superposition and practices Buddhism or Taoism corresponding little gear machined parameters behind face, and finally obtains and meet default high order transmission The machined parameters of the little gear of curve of error and contact trace.

Due to taking above technical scheme, it has the advantage that 1 to the present invention, the high order driving error that actually obtains is bent Line is coincide preferably with designer's pre-programmed curve.2nd, the face trace obtaining and designer's predeterminated position coincide preferably.3rd, should Method is applied to the design of Any Order driving error curve, can be used to carry out the design of higher order.

Brief description

Fig. 1 is the little gear schematic diagram with gear wheel total conjugated that the present invention obtains；

Fig. 2 is the 4 rank driving error curve synoptic diagrams adopting in present invention 3；

Fig. 3 is that in present invention 4, correction of the flank shape face projects to parameter plane contact trace control schematic diagram；

Fig. 4 is that in present invention 4, correction of the flank shape face projects to parameter plane Contact Ellipse half-breadth control schematic diagram；

Fig. 5 is little gear modification face σ in specific embodiment of the invention step 3₁；

Fig. 6 is little gear final correction of the flank shape face σ in specific embodiment of the invention step 4；

Fig. 7 is high order driving error comparison diagram in specific embodiment of the invention step 5；

Fig. 8 is little Gear Contact trace comparison diagram in specific embodiment of the invention step 5.

Specific embodiment

With reference to the accompanying drawings and examples the present invention is described in detail.

A kind of acquisition methods of hypoid gear little gear flank of tooth machined parameters that the present invention provides, walk including following Rapid:

1) obtain accurate pair according to existing tooth surface design method (such as gleason method, with reference to gear Manual Second Edition) The initial manufacture parameter of gear wheel and little gear in curved surface gear, above-mentioned initial manufacture parameter includes θ₁、φ₁、θ₂、φ₂、And v₁₂.

2) calculate the gear wheel flank of tooth according to initial manufacture parameter to select and the pinion gear teeth cake with its total conjugated, and obtain With the Machine-settings of the little gear flank of tooth of gear wheel total conjugated, detailed process is as follows:

According to formula (1), it is possible to obtain gear wheel flank of tooth point r₂With normal direction n₂, pinion gear teeth cake can be obtained according to formula (2) r₁With normal direction n₁

$\left\{\begin{array}{c}{r}_2=r_2({\mathrm{\θ}}_2,{\mathrm{\φ}}_2)\\ n_2=n_2({\mathrm{\θ}}_2,{\mathrm{\φ}}_2)\end{array}\right.---\left(1\right)$

$\left\{\begin{array}{c}{r}_1=r_1({\mathrm{\θ}}_1,{\mathrm{\φ}}_1)\\ n_1=n_1({\mathrm{\θ}}_1,{\mathrm{\φ}}_1)\end{array}\right.---\left(2\right)$

Wherein, θ₁And φ₁Represent cutterhead corner during little gear processing and cage chair corner, θ respectively₂And φ₂Represent big respectively Cutterhead corner during Gear Processing and cage chair corner.

So that to the little gear flank of tooth and the gear wheel flank of tooth total conjugated obtaining according to formula (1), need to meet and pass Move than equation (3) and equation of meshing (4).

Gear ratio equation:

Wherein,WithIt is respectively little gear corner and little gear initial position corner；WithIt is respectively canine tooth rotation Angle and gear wheel initial position corner.

Mesh equation:

Wherein, v₁₂Relative velocity for little gear and gear wheel.

Using formula (3) and formula (4), the pinion gear teeth cake coordinate with gear wheel total conjugated can be obtainedAnd normal directionUsing formula (5), it is possible to obtain bent with the little gear of bull wheel total conjugated and the difference of the little gear flank of tooth being obtained according to formula (2) Face △ r:

$\mathrm{\δ}r=({\hat{r}}_1-r_1)\·{\hat{n}}_1---\left(5\right)$

Difference curved surface △ r can be calculated completely common with gear wheel using hypoid gear tooth surface error reverse method The Machine-settings of the little gear flank of tooth of yoke.Fig. 1 is the little gear flank of tooth with gear wheel total conjugated.

3) according to default high order driving error curve, obtain the new little gear flank of tooth, using this little gear flank of tooth and step The little gear flank of tooth with gear wheel total conjugated that rapid 2) obtain obtains the little gear only meeting default high order driving error curve Correction of the flank shape face, detailed process is as follows:

Formula (6) is the general type of high order driving error curve

Wherein,For high order driving error value, a_sFor the coefficient of high order driving error curve, q is that high order driving error is bent The highest order of line.

Fig. 2 is 4 rank driving error curves, in figure c₂Point is intermediate point, c₁And c₃Two peak values for both sides.λ₁,λ₂,λ₃Point Not Wei this corresponding abscissa value of 3 points, δ_c1,δ_c2,δ_c3It is respectively this corresponding ordinate value of 3 points.5 in formula (6) are not Know position equation and c that number can put according to these three₁And c₃The extreme value equation of point obtains, and sees formula (7)

$\begin{array}{c}{a}_0+a_1{\mathrm{\λ}}_1+a_2{\mathrm{\λ}}_1^2+a_3{\mathrm{\λ}}_1^3+a_4{\mathrm{\λ}}_1^4={\mathrm{\δ}}_{c1}\\ a_0+a_1{\mathrm{\λ}}_2+a_2{\mathrm{\λ}}_2^2+a_3{\mathrm{\λ}}_2^3+a_4{\mathrm{\λ}}_2^4={\mathrm{\δ}}_{c2}\\ a_0+a_1{\mathrm{\λ}}_3+a_2{\mathrm{\λ}}_3^2+a_3{\mathrm{\λ}}_3^3+a_4{\mathrm{\λ}}_3^4={\mathrm{\δ}}_{c3}\\ {\mathrm{\λ}}_1+2a_2{\mathrm{\λ}}_1+3a_3{\mathrm{\λ}}_1^2+4a_4{\mathrm{\λ}}_1^3=0\\ {\mathrm{\λ}}_3+2a_2{\mathrm{\λ}}_3+3a_3{\mathrm{\λ}}_3^2+4a_4{\mathrm{\λ}}_3^3=0\end{array}---\left(7\right)$

All term coefficient in formula (6) can be obtained by formula (7).

Using formula (4) and formula (6), it is possible to obtain meet the little gear flank of tooth of default high order driving error curve with gear wheel PointAnd according to this flank of tooth select with step 2) obtain with gear wheel total conjugated pinion gear teeth cake, using formula (8) obtain little Gear modification face σ₁

${\mathrm{\σ}}_1=({\tilde{r}}_1-{\hat{r}}_1)\·{\hat{n}}_1---\left(8\right)$

4) according to default contact trace and Contact Ellipse half-breadth, to step 3) the little gear correction of the flank shape face that obtains adjusts Whole, obtain the little gear correction of the flank shape face meeting default high order driving error curve and preset exposure trace, detailed process is as follows:

As shown in figure 3, project to the two-dimension projection after plane for correction of the flank shape face.In figure contact point trace line is divided into 3 sections, wherein k₁k₂And k₃k₄For tooth top and root portions, the slope of straight line cl is k_slope.For this 3 sections of contact point trace line, if falling on correction of the flank shape face Point on this 3 sections of straight lines, is not then modified, for remaining point on correction of the flank shape face, according to preset exposure half-breadth, correction of the flank shape face is carried out Revise.

As shown in figure 4, for the point p on correction of the flank shape face₁, define a width of b of preset exposure half, then the correction of this correction of the flank shape is Formula (9)

${\mathrm{\σ}}_2=0.00635{\left(\frac{l_1}{b}\right)}^2---\left(9\right)$

Wherein, l₁Arrive the distance of contact point trace line for this in two-dimension projection.

Using formula (10) by step 3) the little gear correction of the flank shape face and the step 4 that obtain) according to preset exposure trace with contact The correction of the flank shape part in the correction of the flank shape face that half-breadth obtains is added and obtains the final default high order driving error curve of acquisition satisfaction and preset The little gear correction of the flank shape face σ of contact trace:

σ=σ₁+σ₂(10)

5) utilize flank of tooth high-order error reverse method, calculate little gear additional step 4) obtain to meet and preset high order transmission by mistake The corresponding Machine-settings of the new flank of tooth behind the little gear correction of the flank shape face of difference curve and preset exposure trace.Wherein, flank of tooth high-order Error reverse method can specifically adopt the method that rolling is than revising.

Below by a specific embodiment, in order to the effect of the present invention to be described.Take a pair of hypoid gear pair, plus Work technique is roll flute, this gear pair design parameter such as table 1.

Table 1 hypoid gear basic parameter table

1) utilize gleason method, obtain one group of flank of tooth initial manufacture parameter, the processing of corresponding gear wheel and little gear Parameter is shown in Table 2 and table 3.

Table 2 preliminary design scheme bull wheel machined parameters

Vertical cutter spacing (mm)	123.5533
		Horizontal component of cutter position (mm)	96.3544
Horizontal wheels position (mm)	-1.6070
		Installing machine tool root angle (°)	74.7683

Table 3 preliminary design scheme steamboat machined parameters

	Concave surface
		Basic cradle angle (°)	60.3220
Workhead offset (mm)	18
		Horizontal wheels position (mm)	0.7360
Installing machine tool root angle (°)	-4.5273
		Radial (mm)	151.2363
Rolling ratio	5.4328
		Bed (mm)	14.1914
Swivel angle (°)	151.1859
		Cutter tilt (°)	-17.6359
Outer knife (knife in convex surface) nose radius (mm)	149.0029

2) according to initial machined parameters and formula (1) and formula (2)

$\left\{\begin{array}{c}{r}_2=r_2({\mathrm{\θ}}_2,{\mathrm{\φ}}_2)\\ n_2=n_2({\mathrm{\θ}}_2,{\mathrm{\φ}}_2)\end{array}\right.---\left(1\right)$

$\left\{\begin{array}{c}{r}_1=r_1({\mathrm{\θ}}_1,{\mathrm{\φ}}_1)\\ n_1=n_1({\mathrm{\θ}}_1,{\mathrm{\φ}}_1)\end{array}\right.---\left(2\right)$

The pinion gear teeth cake r with gear wheel total conjugated can be obtained₁With normal direction n₁.

The little tooth with gear wheel total conjugated can be obtained according to gear ratio equation formulations (3) and mesh equation formula (4) Gear teeth cake coordinateAnd normal directionLittle gear and root with gear wheel total conjugated can be obtained using difference curved surface formula (5) The poor curved surface △ r of the little gear flank of tooth obtaining according to formula (2), this difference curved surface △ r is utilized hypoid gear tooth surface error reverse Method, can be calculated and be shown in Table 4 with the Machine-settings of the little gear flank of tooth of gear wheel total conjugated.

$\mathrm{\δ}r=({\hat{r}}_1-r_1)\·{\hat{n}}_1---\left(5\right)$

Table 4 and the little gear machined parameters of gear wheel total conjugated

3) general type according to default high order driving error curve

Wherein,For high order driving error value, a_sFor the coefficient of high order driving error curve, q is that high order driving error is bent The highest order of line.

Take the abscissa of wherein 3 pointsλ₂=0,Corresponding vertical coordinate δ_c1=0, δ_c2 =-1.2 × 10^-5, δ_c3=-0.88 × 10^-6, position equation and c that 5 unknown numbers in formula (6) can be put according to these three₁ And c₃The extreme value equation of point obtains, and sees formula (7)

$\begin{array}{c}{a}_0+a_1{\mathrm{\λ}}_1+a_2{\mathrm{\λ}}_1^2+a_3{\mathrm{\λ}}_1^3+a_4{\mathrm{\λ}}_1^4={\mathrm{\δ}}_{c1}\\ a_0+a_1{\mathrm{\λ}}_2+a_2{\mathrm{\λ}}_2^2+a_3{\mathrm{\λ}}_2^3+a_4{\mathrm{\λ}}_2^4={\mathrm{\δ}}_{c2}\\ a_0+a_1{\mathrm{\λ}}_3+a_2{\mathrm{\λ}}_3^2+a_3{\mathrm{\λ}}_3^3+a_4{\mathrm{\λ}}_3^4={\mathrm{\δ}}_{c3}\\ {\mathrm{\λ}}_1+2a_2{\mathrm{\λ}}_1+3a_3{\mathrm{\λ}}_1^2+4a_4{\mathrm{\λ}}_1^3=0\\ {\mathrm{\λ}}_3+2a_2{\mathrm{\λ}}_3+3a_3{\mathrm{\λ}}_3^2+4a_4{\mathrm{\λ}}_3^3=0\end{array}---\left(7\right)$

Can get each coefficient of high order driving error curve by formula (7), be shown in Table 5.

Table 5 high order driving error curve coefficients

a0	-1.2e-5
		a1	3.9615e-6
a2	1.2149e-4
		a3	-2.6292e-5
a4	-3.2262e-4

According to using formula (4) and formula (6), obtain the little gear flank of tooth meeting default high order driving error curve with gear wheel PointAnd according to this flank of tooth select with step 2) obtain with gear wheel total conjugated pinion gear teeth cake, using formula (8) obtain only Meet the gear modification face σ of default high order driving error curve₁See Fig. 5.

${\mathrm{\σ}}_1=({\tilde{r}}_1-{\hat{r}}_1)\·{\hat{n}}_1---\left(8\right)$

4) contact point trace line shown in Fig. 3, cut-off line cl slope k are adopted_slope=1.45, contact half-breadth b is taken as 0.2, if repairing Drop point on shape face on this 3 sections of straight lines, is not then modified, for remaining point on correction of the flank shape face, according to formula (9)

${\mathrm{\σ}}_2=0.00635{\left(\frac{l_1}{b}\right)}^2---\left(9\right)$

Correction of the flank shape face is modified, according to formula (10)

σ=σ₁+σ₂(10)

Obtain the little gear correction of the flank shape face σ that final obtaining meets default high order driving error curve and preset exposure trace, See Fig. 6.

5) meet, to obtaining, the little tooth presetting high order driving error curve and preset exposure trace than modification method using rolling Wheel correction of the flank shape face carries out reverse, obtains and meets adding of default high order driving error and the little gear contacting trace after being superimposed this correction of the flank shape face Work parameter is shown in Table 6.

Table 6 meets default high order driving error and the little gear machined parameters contacting trace

The little gear being obtained using this machined parameters, is calculated analysis and obtains high order driving error curve and contact trace, and Contrasted with predetermined condition.Can be seen that in the figure 7, high order driving error curve is differed with preset value maximum as 5 μ rad.In order to Clearer find out contact trace, here result of calculation is projected to little gear flank of tooth two-dimensional projection face, contact trace is shown in Fig. 8, In this face, transverse axis is facewidth direction, and the longitudinal axis is the high direction of tooth, and a point is the point on preset exposure trace, and b point is connecing of actually obtaining Point on tactile trace.Point on multiple tooth mesh regional preset exposure trace and actually obtain the point edge in contact point trace line in Fig. 8 The maximum deviation in facewidth direction is 0.547mm, accounts for the 0.84% of the facewidth, and the maximum deviation along the high direction of tooth is 0.277mm, accounts for flat All tooth high 1.76%, distance between two points are 0.617mm.In monodentate mesh regional, trace that root portions actually obtain with The maximum deviation compared at default trace along facewidth direction is 0.89mm, accounts for the 1.37% of the facewidth, maximum inclined along the high direction of tooth Difference be 0.601mm, account for average tooth high 3.81%.It is in step 5 the reason this fractional error is bigger than multiple tooth mesh regional) In the tooth surface error reverse that carries out there is residual error, residual error is bigger than remainder in big end tooth root portion.In figure c point is Preset exposure ellipse major semiaxis end points position, d point is the Contact Ellipse major semiaxis end points position actually obtaining, and presets Contact Ellipse semi-major axis is 7.875mm, and the Contact Ellipse major semiaxis actually obtaining is 7.743mm, and this error is preset value 1.68%.To sum up shown, the high order driving error obtaining finally by this method meets preset requirement with the result contacting trace, High order driving error maximum differs 5 μ rad with preset value, and contact point trace line and Contact Ellipse semi-major axis are to the maximum with preset value 3.81%.

The method that the present invention adopts can be good at reaching designer's requirement, improves Hypoid Gear Drives performance, It overcomes the shortcoming of other method degree of agreement differences, also overcomes the not control to contact trace in other methods.Simultaneously The method of the present invention can be generalized to Any Order, as long as coefficient entry in formula (6) is modified.

The various embodiments described above are only used for the purpose of the present invention, technical scheme and beneficial effect have been carried out further specifically Bright, it is not limited to the present invention, all any modification, equivalent substitution and improvement within the spirit and principles in the present invention, done Deng should be included within the scope of the present invention.

Claims (6)

1. a kind of Machining of Near-Hyperboloid Gear parameter acquiring method meeting high order driving error, comprises the following steps:

1) the initial manufacture parameter of gear wheel and little gear in hypoid gear is obtained according to existing tooth surface design method；

2) according to initial manufacture parameter calculate the gear wheel flank of tooth select and the pinion gear teeth cake with its total conjugated, and obtain with The Machine-settings of the little gear flank of tooth of gear wheel total conjugated；

3) according to default high order driving error curve, obtain the new little gear flank of tooth, using this little gear flank of tooth and step 2) Obtain acquisition with the gear wheel total conjugated little gear flank of tooth only meets the little gear correction of the flank shape presetting high order driving error curve Face；

4) according to default contact trace and Contact Ellipse half-breadth, to step 3) the little gear correction of the flank shape face that obtains is adjusted, Obtain the little gear correction of the flank shape face meeting default high order driving error curve and preset exposure trace；

5) using flank of tooth high-order error reverse method, calculate little gear additional step 4) obtain to meet and preset high order driving error song The corresponding Machine-settings of the new flank of tooth behind the little gear correction of the flank shape face of line and preset exposure trace.

2. a kind of Machining of Near-Hyperboloid Gear parameter acquiring method meeting high order driving error as claimed in claim 1, its Be characterised by: described step 1) in obtain gear wheel and little gear the method for initial manufacture parameter be gleason method and obtain The initial manufacture parameter obtaining includes θ₁、φ₁、θ₂、φ₂、And v₁₂.

3. a kind of Machining of Near-Hyperboloid Gear parameter acquiring method meeting high order driving error as claimed in claim 1, its Be characterised by: described step 2) in the acquisition process of the Machine-settings of the little gear flank of tooth of gear wheel total conjugated such as Under:

Gear wheel flank of tooth point r is obtained according to formula (1)₂With normal direction n₂, pinion gear teeth cake r is obtained according to formula (2)₁With normal direction n₁；

$\left\{\begin{array}{c}{r}_2=r_2({\mathrm{\θ}}_2,{\mathrm{\φ}}_2)\\ n_2=n_2({\mathrm{\θ}}_2,{\mathrm{\φ}}_2)\end{array}\right.---\left(1\right)$

$\left\{\begin{array}{c}{r}_1=r_1({\mathrm{\θ}}_1,{\mathrm{\φ}}_1)\\ n_1=n_1({\mathrm{\θ}}_1,{\mathrm{\φ}}_1)\end{array}\right.---\left(2\right)$

Wherein, θ₁And φ₁Represent cutterhead corner during little gear processing and cage chair corner, θ respectively₂And φ₂Represent gear wheel respectively Cutterhead corner during processing and cage chair corner；

Using formula (3) and formula (4), obtain the pinion gear teeth cake coordinate with gear wheel total conjugatedAnd normal directionUsing formula (5), acquisition is as follows with the little gear of bull wheel total conjugated and the poor curved surface △ r of the little gear flank of tooth being obtained according to formula (2):

$\mathrm{\δ}r=({\hat{r}}_1-r_1)\·{\hat{n}}_1---\left(5\right)$

Wherein,WithIt is respectively little gear corner and little gear initial position corner；WithIt is respectively gear wheel corner and big Gear initial position corner；v₁₂Relative velocity for little gear and gear wheel；

This difference curved surface △ r is utilized hypoid gear tooth surface error reverse method, is calculated and gear wheel total conjugated The Machine-settings of the little gear flank of tooth.

4. a kind of Machining of Near-Hyperboloid Gear parameter acquiring method meeting high order driving error as claimed in claim 3, its Be characterised by: described step 3) in obtain little gear correction of the flank shape face process as follows:

Formula (6) is the general type of high order driving error curve

Wherein,For high order driving error value, a_sFor the coefficient of high order driving error curve, q is high order driving error curve Highest order；

List position equation and the pole of each extreme point according to the horizontal stroke of the extreme point in default high order driving error curve, vertical coordinate Value equation, thus solve the coefficient a of high order driving error curve_s；

Recycling formula (4) and formula (6), obtain the pinion gear teeth cake meeting default high order driving error curve with gear wheelAnd Selected and step 2 according to this flank of tooth) the pinion gear teeth cake with gear wheel total conjugated that obtains, obtain little gear using formula (8) Correction of the flank shape face σ₁:

${\mathrm{\σ}}_1=({\tilde{r}}_1-{\hat{r}}_1)\·{\hat{n}}_1.---\left(8\right)$

5. a kind of Machining of Near-Hyperboloid Gear parameter acquiring method meeting high order driving error as claimed in claim 4, its It is characterised by: described step 4) the middle little gear correction of the flank shape face obtaining the default high order driving error curve of satisfaction and preset exposure trace Process as follows:

The correction of the flank shape face of taking projects to the two-dimension projection after plane, and in figure contact point trace line is divided into 3 sections, and wherein one section is tip portion, One section is root portions, and the also straight line of one section of tooth connection apical tooth root, if the point on correction of the flank shape face falls on described 3 sections of straight lines, no It is modified, to the point not fallen within correction of the flank shape face on described 3 sections of straight lines, reference formula (9) is according to preset exposure half-breadth to correction of the flank shape Face is modified；

${\mathrm{\σ}}_2=0.00635{\left(\frac{l_1}{b}\right)}^2---\left(9\right)$

Wherein, l₁Arrive the distance of contact point trace line for this in two-dimension projection, definition design contacts half a width of b, this correction of the flank shape Correction is σ₂, using formula (10) by σ₂With step 3) obtained by correction of the flank shape part σ₁It is added and obtain final correction of the flank shape face σ:

σ=σ₁+σ₂. (10)

6. a kind of Machining of Near-Hyperboloid Gear parameter acquiring method meeting high order driving error as claimed in claim 1, its It is characterised by: described step 5) flank of tooth high-order error reverse method that adopted is the method that rolling is than revising, entered using the method Row tooth surface error reverse, calculates superposition and practices Buddhism or Taoism corresponding little gear machined parameters behind face, and finally obtains and meet default high order and pass The machined parameters of the little gear of dynamic curve of error and contact trace.