CN106392199A - Tooth profile correcting method for automobile steering device rockshaft gear sector - Google Patents
Tooth profile correcting method for automobile steering device rockshaft gear sector Download PDFInfo
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- CN106392199A CN106392199A CN201610983687.4A CN201610983687A CN106392199A CN 106392199 A CN106392199 A CN 106392199A CN 201610983687 A CN201610983687 A CN 201610983687A CN 106392199 A CN106392199 A CN 106392199A
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
- B23F—MAKING GEARS OR TOOTHED RACKS
- B23F5/00—Making straight gear teeth involving moving a tool relatively to a workpiece with a rolling-off or an enveloping motion with respect to the gear teeth to be made
- B23F5/12—Making straight gear teeth involving moving a tool relatively to a workpiece with a rolling-off or an enveloping motion with respect to the gear teeth to be made by planing or slotting
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Abstract
The invention discloses a tooth profile correcting method for an automobile steering device rockshaft gear sector. The method is a modification amount changing profile correcting method. Profile correcting is achieved through slotting machining, the modification amount of profile correcting is determined by three parameters including a modification start, a terminal angle and the maximal modification amount by adopting a ramp function related to gear sector rotating angles, and in the slotting machining process with a certain transmission ratio curve, a radial feed shaft retracts or feeds according to the law of motion of the ramp function to achieve profile correcting. By means of modification correcting within the range of the modification start and the terminal angle, tooth profiles of a certain section in the middle portion of the gear sector become thick, and the purpose that the back lash of an automobile steering device gear sector and rack pair is reduced or the purpose of backlash-free engaging is achieved. For the overcutting phenomenon in the profile correcting process, theoretical tooth profiles are calculated through a tooth profile normal method, and actual tooth profiles are calculated through an envelope line method. When the actual profile correcting amount does not conform to the theoretical profile correcting mount, the three parameters are adjusted, the actual profile correcting amount is calculated again until the actual profile correcting amount conforms to the theoretical profile correcting amount, and once the three parameters are adjusted, the three parameters are fixed and put on production.
Description
Technical field
The present invention relates to a kind of automobile steering device rocker arm shaft tooth fans profile modification method, belong to technical field of mechanical transmission.
Background technology
The steering behaviour of car steering depends on steering gear rocker arm shaft tooth and fans tooth bar Meshing Pair meshing performance, during straight-line travelling
Required direction disk " weighs ", stable；Steering wheel " light " is wanted, flexibly during steering.Although can be driven to meet this by variable ratio
Kind of car steering performance, however, by the correction of the flank shape of flank profil in the middle of rocker arm shaft tooth fan, obtains that center tooth transverse tooth thickness is bigger, backlash
Less, in addition open top container ship rocker arm shaft tooth fan steering gear more favored by market.
The thought of gear modification is long-standing, and roller gear displacement application is relatively universal, but this Cylindrical Gear, become
Position amount is changeless, that is, the transverse tooth thickness variable quantity of each tooth is uniformly equal, is equivalent to involute profile and equidistantly translates, so
And this surely become method for position be not particularly suited for automobile steering device rocker arm shaft non-knuckle-tooth fan, reason is that it can not preferably meet automobile
Steering behaviour.A kind of requirement becomes potential energy and reaches flank profil transverse tooth thickness non-uniform change, and that is, in the middle of tooth fan, flank profil transverse tooth thickness is big, both sides flank profil tooth
Thick little.Displacement profile modification, that is, addendum modification is change, can meet this requirement.
In gear drive field, the hot issue that transmission performance is always research is improved by gear modification, relatively conventional
Correction method be to be realized using grinding process means, but non-knuckle-tooth fan is repaiied using Bevel Slotting Technology to automobile steering device rocker arm shaft
Shape or a new research field, over-cutting wherein in correction of the flank shape exists, and will have influence on profiling quantity and (or referred to as conjugate
Amount), how to control profiling quantity, preferably meet Parameter of Automotive Steering demand, be an important research topic.
《Drive technology》(2011,25 (4):12-14) publish《The impact to registration for the eccentric tooth》Paper (author：?
Maple is read), steering gear eccentric tooth fan tooth bar auxiliary driving is proposed, that is, a kind of centre of gyration is not in the non-knuckle-tooth fan of geometric center.According to
The enlightenment of technical scheme described in this paper, those skilled in the art carried out research to this kind of eccentric tooth fan, and developed numerical control and add
Work software achieves batch production in steering gear factory.The eccentric throw of such eccentric tooth fan is equal to tooth fan geometric center and the centre of gyration
Offset distance, because this eccentric throw exists in the tooth whole angle range of fan, middle the flank profil transverse tooth thickness of tooth fan increases, backlash change
Little, enhance the stability of straight-line travelling, but, if the transverse tooth thickness of both sides flank profil increases simultaneously, reduce the spirit of steering on the contrary
Activity and returnability.
The design philosophy reducing noncircular gear pair backlash by becoming modification coefficient is already present in non-circular gear
In design, for example：Paper《Variable coefficient profile shifted modification method and its application in non-circular gear drive》(Tan Weiming,《Mechanic
Journey journal》,2003,39(4):Propose in 141-144) in the fan transmission of non-knuckle-tooth, using variable coefficient profile shifted modification method, use
Cut, increase transverse tooth thickness and adjustment drive centre distancc in the root eliminating gear, transverse tooth thickness distribution and Undercutting Phenomenon can be effectively improved, its change
Potential coefficient is the modification coefficient function of the varies with cosine being previously set；Paper《Become the experimental study of profile modified gear backlash》
(Sambucus chinensis,《Modern Manufacturing Engineering》, 2015 (5)) in propose and be used for eliminating flank based on the modification coefficient of pitch curve change in location
Gap.Both approaches all adopt the gear of linear cutter experiment, with actual production in using rack cutter shaping
Difference, therefore very limited to the actual directive significance of commercial process, on the other hand, repairing employed in paper
Shape method is relative complex.
In actual shaping, there is over-cutting in the change displacement correction of the flank shape using withdrawing or feed, no matter become shifting movement
Using ramp function or cosine function, cross the presence cut and will produce impact to profiling quantity, bring correction of the flank shape error, therefore control
Correction of the flank shape error is particularly significant.For this problem, paper《Withdrawing interference mechanism in non-circular gear Gear Shaping and bypassing method grind
Study carefully》(bear town celery etc.,《Mechanical engineering journal》,2002,38(3):In 152-155), analyze using the three-axis numerical control gear shaping machine transplanting of rice
Manufacture-illegal Knucle-gear produces the principle of withdrawing interference it is proposed that a kind of centre of gyration making pinion cutter deviates geometric center and moved back with evading
The new method of continuous Gear Shaping is interfered and realized to knife, and is processed as with inserting of noncircular planetary gear hydraulic motor ring gear
Example, gives implementation process and the related algorithm of this method, by changing the pivot of pinion cutter so that pinion cutter and work
The line of centres of part is consistent with withdrawing direction, thus avoiding the interference that retracting movements move to gear shaping.Although this withdrawing of evading is done
The method relating to and thinking are very novel, but fatal defects to be the cutter centre of gyration misaligned with geometric center, actually adopt one
Kind of eccentric gear cutter, cutter per revolution in shaping, each cutter tooth discontinuity, this to life-span of cutter with
And crudy is all unfavorable.Actually during correction of the flank shape, it is inevitable for there is interference, key challenge is how to calculate
Amount of interference, and pass through parameter adjustment, it is controlled by.On the other hand, the technical scheme that this paper proposes is only solution cutting disc
Interference problem in tool processing non-circular gear withdrawing, not relating to be fanned using the non-knuckle-tooth of rack cutter processing (is not had in withdrawing
Interfere and exist) interference problem in correction of the flank shape.
By above-mentioned analysis, bias is exactly substantially the correction of the flank shape that a kind of tooth fans flank profil, if tooth is fanned profile modification
Control in certain angle range, only wide to center tooth a certain segment correction of the flank shape, make this section of transverse tooth thickness become big, remaining transverse tooth thickness is not
Become, surely preferably meet required steering behaviour.Therefore, it is necessary to design is a kind of becomes profile shifted gear fan profile modification method, that is,
During Gear Shaping, in a certain angular range that tooth fan is transformed into rack cutter, rack cutter is made to advise by a kind of motion on a slope
Rule retreats or advances, thus obtaining required tooth fan.
Content of the invention
The present invention seeks to proposing problem for background technology, overcome automobile steering device rocker arm shaft tooth fan tooth in prior art
The defect of wide correction method, provides the change displacement correction method that a kind of new automobile steering device rocker arm shaft tooth fans flank profil, by inserting
Cut processing to realize, its addendum modification adopts ramp function, this function is the function fanning corner with regard to tooth, by displacement is initial, end angle
Degree and maximum three parameters of addendum modification determine, mainly during the shaping that certain transmission ratio curve transforms into, by
Radial feed axle to be realized by ramp function characteristics of motion withdrawing or feed.By initial in displacement and termination point scope change
Position correction of the flank shape, can make the flank profil of the certain segment in centre of tooth fan thickening, thus reducing automobile steering device tooth to fan secondary the nibbling of tooth bar
Close gap, even open top container ship, improve motor turning performance further.This correction method only needs to control rising of displacement
Begin, termination point and maximum three parameters of addendum modification can achieve correction of the flank shape, method is simple, easy to operate.Due to correction of the flank shape process
In there is over-cutting, cross to cut and necessarily reduce theoretical profiling quantity, accordingly, it would be desirable to calculate theoretical flank profil and practical tooth, actual tooth
Exterior feature deducts theoretic profile and is actual profiling quantity.Calculate theoretical flank profil and actual tooth using flank profil method collimation method and envelope method respectively
Wide.If actual profiling quantity is unsatisfactory for theoretical profiling quantity requirement, bigger than normal or less than normal, then the displacement of adjustment ramp function initiates
Angle, end angle and maximum three parameters of addendum modification, recalculate actual profiling quantity, till meeting, once adjusting tiltedly
Three parameters of slope function, then be fixed up, put into production.Practice have shown that the tooth fan tooth bar pair of this displacement correction of the flank shape makes vapour
Car straight-line travelling is more stable.In terms of the secondary application development trend of steering gear nut rack tooth fan, this straight-line travelling is stable, steering
Flexibly, the rack tooth fan pair of smooth-going is more acceptable to the market, and has a extensive future, if traditional steering gear, economic benefit ten can be replaced
Divide huge.
The technical scheme is that：A kind of automobile steering device rocker arm shaft tooth fans profile modification method, is that a kind of change conjugates
Correction method；It is characterized in that：The calculating function of described displacement correction method foundation is ramp function, described ramp function table
Reaching formula is：
In above-mentioned formula (1)：E (θ) is the function fanning rotational angle theta with regard to tooth, wherein C1For conjugating end angle, C2Displacement is initial
Angle, emFor maximum addendum modification, this function curve is divided into three sections, in both sides [- C2,-C1) and (C1,C2] press linear gauge in interval range
Rule change, middle [- C1,C1] maximum withdrawing amount e of scope holdingm；
Further, lead to reduce theoretical profiling quantity problem for there is over-cutting during correction of the flank shape, by calculating
Theoretic profile and practical tooth, then practical tooth is deducted theoretic profile, obtain actual profiling quantity, and respectively using flank profil normal
Method and envelope method calculate theoretical flank profil and practical tooth, when：
When actual profiling quantity is more than or less than theoretical profiling quantity, then adjust the displacement initial angle of ramp function in formula (1)
C2, displacement end angle C1With maximum addendum modification emThree parameters, recalculate actual profiling quantity, when actual profiling quantity is equal to theory
During profiling quantity, C in solidification formula (1)2、C1And emThree parameter values.
As mentioned above a kind of automobile steering device rocker arm shaft tooth fan profile modification method it is characterised in that：Described motor turning
The correction of the flank shape process that device rocker arm shaft tooth fans flank profil is to complete profile modification by shaping on the digital control gear shaper of three-shaft linkage,
The withdrawing of radial feed axle of described three axle through transport digital control gear shapers or the feed characteristics of motion, it then follows formula (1) described slope letter
Movement pattern, and：
Displacement initial angle C2, displacement end angle C1With maximum addendum modification emThree parameters are cured value.
The invention has the beneficial effects as follows：
(1) a kind of automobile steering device of present invention rocker arm shaft tooth fan profile modification method, fans tooth by steering gear rocker arm shaft tooth
Wide change displacement correction of the flank shape, makes steering gear tooth fan tooth bar pair less in the back lash of the certain angular range in middle, even
No sideshake, so that automobile straight-line travelling is more stable.Provide a kind of steering gear rocker arm shaft tooth fan tooth for automobile steering device industry
Wide correction of the flank shape new method.
(2) present invention, using ripe know-why, has been carried out, and comes into operation.
(3) in terms of the secondary application development trend of steering gear nut rack tooth fan, this straight-line travelling is stable, turn to flexibly,
The rack tooth fan pair of smooth-going is more acceptable to the market, and has a extensive future.
(4) domestic commercial vehicle yield expands year by year, and it is secondary, if traditional steering gear, warp can be replaced that each car is required for one
Ji benefit is very huge.
Brief description
Fig. 1 is that the present invention is adopted change displacement correction of the flank shape ramp function curve map；
Fig. 2 is displacement theory of engagement figure；
Fig. 3 is that displacement flank profil is crossed and cut schematic diagram；
Fig. 4 is shaping profile modification principle schematic；
Fig. 5 is gearratio figure；
Fig. 6 is instantaneous locus of points figure；
Fig. 7 is theoretic profile and practical tooth comparison diagram；
Fig. 8 is design addendum modification, actual addendum modification and crosses the comparison diagram when 0～10 ° for the amount of cutting；
Fig. 9 a is the non-knuckle-tooth fan processing and profile geometry analogous diagram when Gear Shaping is with correction of the flank shape process；
Fig. 9 b is the non-knuckle-tooth fan processing and profile geometry tooth fan flank profil figure after Gear Shaping with correction of the flank shape；
Figure 10 a is to fan large end face pictorial diagram using the tooth that the inventive method processes；
Figure 10 b is the rocker arm shaft tooth fan pictorial diagram being processed using the inventive method.
Specific embodiment
Below in conjunction with accompanying drawing, embodiments of the present invention is further illustrated, all is done within the spirit and principles in the present invention
Any modification, equivalent or improvement etc., should be included within scope of the presently claimed invention, in the technical program not
Address in detail, be known technology.
A kind of present invention automobile steering device rocker arm shaft tooth fans profile modification method, comprises the following steps：
1) set correction of the flank shape adopt displacement flow function e (θ) be：
Refer to the attached drawing 1, in above-mentioned formula (1), e (θ) is the function fanning rotational angle theta with regard to tooth.Wherein C1For conjugating end angle,
C2For conjugating initial angle, emFor maximum addendum modification.This function curve is divided into three sections, in both sides [- C2,-C1) and (C1,C2] interval model
By linear rule change in enclosing, middle [- C1,C1] maximum withdrawing amount e of scope holdingm, shape such as slope, therefore referred to as slope letter
Number.As shown in figure 1, user only needs to arrange C1(displacement end angle), C2(displacement initial angle) and em(maximum addendum modification) these three
Parameter, you can complete profile modification setting.
2) set up and become profile shifted gear fan tooth bar engagement model, solve engagement centrode
As shown in Fig. 2 it is assumed that tooth fan rotates around dead axle coordinate origin during tooth fan tooth bar engagement, tooth bar does translational motion.
With the tooth fan centre of gyration as initial point, with tooth bar translation direction as X-axis, position fixing is set up for Y-axis with tooth fan tooth bar line of centres direction
System [O；x,y].With the tooth fan centre of gyration as initial point, tooth fan coordinate system [O is set up for Y-axis with tooth fan line of symmetry1；x1,y1].P0Point
Fan the instantaneous point of tooth bar engagement, P for tooth during no shifting movement1Point is fanned for tooth when rotating equal angular, and displacement made by tooth fan tooth bar
Instantaneous point during engagement.l0And l1When respectively no shifting movement is with becoming shifting movement, tooth bar participates in the flank profil of engagement；K0、K1Point
Meshing point when being respectively rotation equal angular, when no displacement engagement and displacement are engaged.
When no displacement is engaged, according to gear mesh theory, instantaneous point P0On the line of centres with tooth bar for the tooth fan, i.e. P0
Point is in the y-axis of position fixing system O.Instantaneous radius r=| OP1| can be calculated by following formula：
In formula (2)：P is the helical pitch of screw rod in screw pair in steering gear
I is the gearratio of steering gear
The speed of the translation of tooth bar is V0xIt is P0The speed of point
V0x=| r | ω (3)
During displacement engagement, when there being the angular range internal messing of displacement, tooth bar can add one along centerline direction
Withdrawing or feed campaign, withdrawing or feed velocity depend on addendum modification e (θ),
It is still necessary to ensure the gearratio of steering gear during displacement engagement, so speed V of the transverse translation of this hour rack1x
Equal to V0x,
V0x=V0x=| r | ω (5)
So, during displacement engagement, the movement velocity of tooth barVelocity attitude angle α=arctan (V0y/
V0x).The instantaneous point P of corresponding teeth fan1Speed V at place1All should be with V on size and Orientation0Identical.Consider that direction is identical, then in figure
Shown angle β=∠ P0OP1=α；Consider further that velocity magnitude is equal, then：
Formula (3) is substituted in above-mentioned formula (6), represents OP with R1, then have：
R=r/cos α (7)
Under position fixing system, instantaneous Movement Locus Equation is：
Understood according to above-mentioned formula (8), during displacement engagement, movement locus under position fixing system for the instantaneous point is no longer one
Bar and tooth fan the straightway that tooth bar line of centres overlaps, but one with regard to moving back/curve of feed velocity.By the wink under position fixing system
Heart point reversely rotates the angle that tooth fan turns over, you can try to achieve the instantaneous point that tooth is fanned under coordinate system, and instantaneous Center equation is to be represented by：
In formula (9)：θ represents the angle that tooth fan rotates in current engagement point gearing
3) become profile shifted gear fan theoretic profile equation solution
Because meshing point is the intersection point of the common normal in this point for the flank profil and common tangent, then meshing point can be by the common normal of this point
With common tangent solving simultaneous equation.Common tangent equation at meshing point is the cutter tooth-profile participating in engagement, and cutter tooth-profile is
Straightway, then common tangent equation be：
y-y0=tan (α1+π/2)(x-x0) (10)
In formula (10)：Point (x0, y0) for a known coordinate point in the flank profil engaging is participated on tooth bar；
α1For the pressure angle of the flank profil engaging is participated on tooth bar.
Understand that common normal is excessively instantaneous by Willis theorem, and common normal is vertical with common tangent, then common normal equation can table
It is shown as：
y-P1y=tan (α1)(x-P1x) (11)
In formula (11)：(P1x, P1y) represent P1Coordinate under position fixing system for the point.
P1x=Rcos (β+pi/2)=rtan (- α),
P1y=Rcos (β+pi/2)=r.
Simultaneous two equation solution, you can calculate coordinate under position fixing system for the meshing point.Engagement point coordinates can be by following formula
Calculate：
Formula (12) is equation of locus under position fixing system for the meshing point.
Reuse a rotation formula,
In formula (13)：θ represents the angle that tooth fan rotates in current engagement point gearing
The angle that meshing point is rotated around position fixing system opposite direction turning gear fan, the meshing point that as tooth is fanned under coordinate system is sat
Mark.Formula (13) is tooth profile equation, point (x1, y1) it is any point in flank profil.
4) there is the proof of over-cutting
As shown in figure 3, analyzing for convenience, when tooth fan is engaged with tooth bar, tooth being fanned and fix, and tooth bar should move,
Rotate.K0、K1Indicate the theoretical calculation flank profil no displacement and displacement respectively.Point P0Indicate the situation no displacement (e (θ) ≡ 0)
Under, during racks turn θ angle, the meshing point of tooth fan and tooth bar；Point P1In the case of indicating displacement, during racks turn θ angle,
Tooth fan and the meshing point of tooth bar；l0And l1It is illustrated respectively in meshing point P0And P1Place cutter blade line.Transmission according to design
Mode, l0Parallel to l1.n0And n1It is illustrated respectively in meshing point P0And P1Common normal, they are excessively respective instantaneous respectively.
V in Fig. 31For meshing point P1Instantaneous velocity under illustrated case, V1x、V1yRepresent P respectively1Point instantaneous normal velocity and
Tangential velocity.Represent the function with regard to angle for the addendum modification, because meshing point is all the time on tooth bar edge line, then V with e (θ)1xCan be by
E (θ) calculates.V1xIt is represented by：
In formula (14)：ω represents the angular speed of racks turn.
In engaging in plane, the speed of related movement that the tooth fan rack tooth profile of fixed-axis rotation engages in any point is suitable
In this speed to rotate around relative instantaneous centre of velocity relative to angular speed, and as it is assumed that tooth fan is fixed, tooth bar is mobile and turns
Dynamic, then tooth bar is ω with respect to the relatively speed that tooth is fanned, so P1The instantaneous tangential velocity of point is represented by：
V1y=| DP | ω (15)
In formula：Represent instantaneous point to the length of meshing point.
Normal velocity in theoretical calculation flank profil for the meshing point is to be represented by with cutter tooth-profile angle γ：
γ=arctan (e ' cos α1/|DP|) (16)
Known by formula (14), as long as e (θ) is not zero with regard to the first derivative of θ, γ is not just 0, then V1Direction just not
Overlap with edge line.As e ' |θDuring ＞ 0 (situation shown in Fig. 3), V1Direction deflection cutter interior, then there is a Δ θ ＞ 0,
Make tooth fan cornerWhen, the theoretical calculation flank profil becoming displacement part is in the rack cutter flank profil of current angular
" top " of line, the tooth fan meshing point that will participate in engaging excised by cutter；As e ' |θDuring ＜ 0, V1Direction deflection cutter
Internal, then to there is a Δ θ ＞ 0 so that tooth fans cornerWhen, at the theoretical calculation flank profil of displacement part
In " lower section " of the rack cutter flank profil line of current angular, finished flank profil part excised by cutter.E ' is described |θ≠0
May result in and produced, during the Gear Shaping of tooth fan, the phenomenon cut, thus leading to theoretical meshing point not process finally
Flank profil on.
5) calculating of actual addendum modification
Calculate practical tooth equation used here as envelope method.
As shown in figure 3, tooth fan when engaging with tooth bar, tooth is fanned and is fixed under position fixing system, tooth bar translates and rotates
Compound motion.The flank profil of tooth fan is exactly the envelope of the straight line cluster that the flank profil participating in engaging on tooth bar is formed.When tooth fans rotational angle
During for 0, set the point Q under coordinate system1(x1,y1) participate in fixing point (the one of such as tooth top in the flank profil of engagement for tooth bar
Individual summit).When tooth bar rotates θ around fixing tooth fan, point Q1Move to point Q1′.Point Q1′(x1′,y1') under position fixing system
Coordinate is represented by：
Wherein：When representing only consideration translation, point Q1The distance of movement；
The set of curves equation that the flank profil participating in engaging on tooth bar is formed is represented by：
F (x, y, θ)=tan (α) (x-x1′)-y+y1'=0 (18)
In formula：α=pi/2+α1After+θ represents racks turn θ angle, tooth bar participates in flank profil line and the position fixing system X engaging
The positive angle of axle.
Fanning equation in coordinates by the tooth that rack tooth profile straight line cluster envelope goes out is：
Wherein：
By formula (17), (18) and (19) simultaneous solution, draw practical tooth with regard to angle, θ parametric equation：
In formula (20)：I fans rack-driving ratio (tooth fans node to the length of the centre of gyration) for tooth；
K is the derivative to θ for displacement flow function e (θ)；
L is tooth bar lateral distance.
Use Pn(xn,yn) indicate the flank profil point of no displacement, the coordinate value of this point can be engaged by non-circular gear in flank profil normal
Method calculates, i.e. formula (13).Use Pp(xp,yp) represent under identical workpiece parameter and machined parameters, displacement non-knuckle-tooth fan is actual
Flank profil point, i.e. formula (20), this point coordinates value is calculated by above-mentioned envelope method.Then actual addendum modification ep(θ) it is represented by：
6) comparative analysis and decision
The actual addendum modification being obtained according to formula (21), the addendum modification of the amount of cutting and design excessively are all to fan corner with regard to tooth
Function, three is analyzed.If actual profiling quantity is more than design profiling quantity, reduce maximum addendum modification em；If
Actual profiling quantity is less than design profiling quantity, then increase maximum addendum modification em.Then actual correction of the flank shape is recalculated according to formula (21)
Amount, till meeting requirement.Now, the initial and termination point also design requirement to be met of displacement.So, correction of the flank shape is adopted
The parameter of ramp function just can be fixed up, for reality processing.
7) displacement correction of the flank shape is realized
The digital control gear shaper of three-shaft linkage is realized.When carrying out tooth fan Gear Shaping, usual main motion is cutter
Up-down stroke moves, and feed motion is：Feed motion before and after radial feed axle Y, moves horizontally the side-to-side movement of axle X-axis, work
The rotary motion of part rotary shaft C axle.Wherein X, C axle carries out generating motion by given transmission ratio curve, as shown in Figure 4.This Shen
Please propose change displacement correction of the flank shape, that is, modification coefficient press ramp function rule change a kind of correction method, by the feed of Y-axis with
Withdrawing is completing.Therefore, during tooth fan shaping, by X, C, Y three-shaft linkage, you can complete correction of the flank shape and generating motion simultaneously.
Further, below by way of a specific embodiment, the present invention is described in more detail：
Gearratio figure shown in refer to the attached drawing 5, sets gearratio and adopts sectional broken line formula gearratio, conjugate flow function, tiltedly
Slope function is as shown in Figure 1.In embodiment, major parameter is as shown in table 1 below：
Table 1 work pieces process major parameter table
Under position fixing system, the movement locus of instantaneous point is as shown in fig. 6, in Fig. 6, the position of instantaneous point and the pass of rotational angle
It is as shown in table 2 below：
Rotational angle relation table is fanned with tooth in instantaneous position of table 2
Calculate tooth fan theoretic profile and tooth fan practical tooth respectively, obtain curve as shown in Figure 7.
Thus, design addendum modification, actual profiling quantity and cross the amount of cutting and rotational angle pass tie up to when 0～10 ° to score
Analysis is as shown in Figure 8.
Result of calculation shows：During tooth fan rotational angle theta=6.1 °, cross the amount of cutting maximum, be 0.0168mm；During θ=0 °, crossing the amount of cutting is
0, that is, practical tooth overlap with theoretic profile in this place.
Machining simulation result is as shown in figures 9 a and 9b.
The part of reality processing is as as-shown-in figures 10 a and 10b.Through inspection, test meets user and requires.
By above example and explanation it can be seen that a kind of present invention automobile steering device rocker arm shaft tooth fans profile modification
Method, conjugates correction of the flank shape by the change that steering gear rocker arm shaft tooth fans flank profil, makes steering gear tooth fan tooth bar pair at the certain angle in middle
The back lash of degree scope is less, and even no sideshake, so that automobile straight-line travelling is more stable.Carry for automobile steering device industry
Supply a kind of steering gear rocker arm shaft tooth fan profile modification new method.
In terms of the secondary application development trend of steering gear nut rack tooth fan, this straight-line travelling is stable, turns to flexible, smooth-going
Rack tooth fan pair be more acceptable to the market, have a extensive future.Because domestic commercial vehicle yield expands year by year, each car is required for one
Pair, if traditional steering gear can be replaced, economic benefit is very huge.
The present invention, using ripe know-why, has been carried out, and comes into operation.
Claims (2)
1. a kind of automobile steering device rocker arm shaft tooth fans profile modification method, is that a kind of change conjugates correction method；It is characterized in that：Institute
The calculating function stating displacement correction method foundation is ramp function, and described ramp function expression formula is：
In above-mentioned formula (1)：E (θ) is the function fanning rotational angle theta with regard to tooth, wherein C1For conjugating end angle, C2Displacement initial angle, em
For maximum addendum modification, this function curve is divided into three sections, in both sides [- C2,-C1) and (C1,C2] press linear rule change in interval range
Change, middle [- C1,C1] maximum withdrawing amount e of scope holdingm；
Further, lead to reduce theoretical profiling quantity problem for there is over-cutting during correction of the flank shape, by computational theory
Flank profil and practical tooth, then practical tooth is deducted theoretic profile, obtain actual profiling quantity, and respectively using flank profil method collimation method and
Envelope method calculates theoretical flank profil and practical tooth, when：
When actual profiling quantity is more than or less than theoretical profiling quantity, then adjust the displacement initial angle C of ramp function in formula (1)2, become
Position end angle C1With maximum addendum modification emThree parameters, recalculate actual profiling quantity, when actual profiling quantity is equal to theoretical profiling quantity
When, C in solidification formula (1)2、C1And emThree parameter values.
2. as claimed in claim 1 a kind of automobile steering device rocker arm shaft tooth fan profile modification method it is characterised in that：Described automobile
The correction of the flank shape process that steering gear rocker arm shaft tooth fans flank profil is to complete flank profil by shaping on the digital control gear shaper of three-shaft linkage
Correction of the flank shape, the withdrawing of radial feed axle of described three axle through transport digital control gear shapers or the feed characteristics of motion, it then follows formula (1) is described tiltedly
The slope function characteristics of motion, and：
Displacement initial angle C2, displacement end angle C1With maximum addendum modification emThree parameters are cured value.
Priority Applications (1)
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Cited By (5)
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| CN108875288A (en) * | 2018-09-10 | 2018-11-23 | 重庆市綦江源泉机电（集团）有限公司 | A kind of design method and gearbox of the point line gear applied to automotive transmission |
| CN110977054A (en) * | 2019-12-11 | 2020-04-10 | 武汉理工大学 | Machining and manufacturing method of gear rack gear shaping with variable transmission ratio |
| CN111805010A (en) * | 2020-06-11 | 2020-10-23 | 西安法士特汽车传动有限公司 | Method for processing gear with unequal-pitch hobbing cutter and taper tooth thickness flat tooth root structure |
| CN111895068A (en) * | 2020-08-17 | 2020-11-06 | 东科克诺尔商用车制动技术有限公司 | Rack and pinion pair with variable transmission clearance characteristic and automobile steering gear |
| CN113419488A (en) * | 2021-06-08 | 2021-09-21 | 湖北工业大学 | Method for eliminating variable-displacement modification over-cutting of non-circular fan |
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| CN108875288A (en) * | 2018-09-10 | 2018-11-23 | 重庆市綦江源泉机电（集团）有限公司 | A kind of design method and gearbox of the point line gear applied to automotive transmission |
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| CN111805010A (en) * | 2020-06-11 | 2020-10-23 | 西安法士特汽车传动有限公司 | Method for processing gear with unequal-pitch hobbing cutter and taper tooth thickness flat tooth root structure |
| CN111805010B (en) * | 2020-06-11 | 2021-12-07 | 西安法士特汽车传动有限公司 | Method for processing gear with unequal-pitch hobbing cutter and taper tooth thickness flat tooth root structure |
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| CN113419488A (en) * | 2021-06-08 | 2021-09-21 | 湖北工业大学 | Method for eliminating variable-displacement modification over-cutting of non-circular fan |
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