CN106392199B - A kind of automobile steering device rocker arm shaft tooth fans profile modification method - Google Patents
A kind of automobile steering device rocker arm shaft tooth fans profile modification method Download PDFInfo
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- CN106392199B CN106392199B CN201610983687.4A CN201610983687A CN106392199B CN 106392199 B CN106392199 B CN 106392199B CN 201610983687 A CN201610983687 A CN 201610983687A CN 106392199 B CN106392199 B CN 106392199B
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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
Abstract
The present invention discloses a kind of automobile steering device rocker arm shaft tooth fan profile modification method, is a kind of change displacement correction method.It is realized by shaping, its addendum modification uses the ramp function about tooth fan corner, it is determined by displacement starting, termination point and maximum three parameters of addendum modification, during the shaping transformed into certain transmission ratio curve, realized by radial feed axis by ramp function characteristics of motion withdrawing or feed.By the way that in displacement starting and the displacement correction of the flank shape of termination point range, the flank profil for making the intermediate certain segment of tooth fan is thickening, realize that the back lash of automobile steering device tooth fan rack pair becomes smaller or open top container ship.For there are over-cuttings during correction of the flank shape, respectively theoretical flank profil and practical tooth are calculated using flank profil method collimation method and envelope method, when practical profiling quantity is not inconsistent with theoretical profiling quantity, three parameters of adjustment simultaneously recalculate practical profiling quantity, until satisfaction, once adjusting three parameters, then it is fixed up and puts into production.
Description
Technical field
The present invention relates to a kind of automobile steering device rocker arm shaft teeth to fan profile modification method, belongs to technical field of mechanical transmission.
Background technology
The steering behaviour of car steering depends on steering gear rocker arm shaft tooth and fans rack Meshing Pair meshing performance, during straight-line travelling
Required direction disk " weight " is stablized；Steering wheel " light " is wanted during steering, flexibly.Although can this be met by variable ratio transmission
Kind car steering performance however, fanning the correction of the flank shape of intermediate flank profil by rocker arm shaft tooth, obtains center tooth transverse tooth thickness bigger, backlash
The steering gear of the rocker arm shaft tooth of smaller or even open top container ship fan is more favored by market.
The thought of gear modification is long-standing, and roller gear displacement application is more universal, however this Cylindrical Gear, becomes
Position amount is changeless, that is, the transverse tooth thickness variable quantity of each tooth is homogeneous phase etc., is equivalent to involute profile and equidistantly translates, so
And this method of displacement surely is not particularly suited for the non-knuckle-tooth fan of automobile steering device rocker arm shaft, the reason is that it cannot preferably meet automobile
Steering behaviour.A kind of requirement becomes potential energy and reaches flank profil transverse tooth thickness non-uniform change, i.e. the intermediate flank profil transverse tooth thickness of tooth fan is big, both sides flank profil tooth
It is thick small.Displacement profile modification, i.e. addendum modification are variations, can meet this requirement.
In gear drive field, the hot issue that transmission performance is always research is improved by gear modification, it is relatively conventional
Correction method be to be realized using grinding process means, but the non-knuckle-tooth of automobile steering device rocker arm shaft is fanned and is repaiied using Bevel Slotting Technology
Shape or a new research field, over-cutting wherein in correction of the flank shape exist, and will influence profiling quantity and (or be known as conjugating
Amount), profiling quantity how is controlled, preferably meets Parameter of Automotive Steering demand, is an important research topic.
《Drive technology》(2011,25 (4):12-14) publish《Influence of the eccentric tooth to registration》Paper (author：
Maple is read), propose steering gear eccentric tooth fan rack auxiliary driving, i.e., a kind of centre of gyration is not fanned in the non-knuckle-tooth of geometric center.According to
The enlightenment of technical solution described in the paper, those skilled in the art carried out research to this kind of eccentric tooth fan, and developed numerical control and add
Work software realizes batch production in steering gear factory.The eccentricity of such eccentric tooth fan is equal to tooth fan geometric center and the centre of gyration
Offset distance, entire angle range is fanned in tooth due to the eccentricity and is existed, the intermediate flank profil transverse tooth thickness of tooth fan increases, backlash change
It is small, the stability of straight-line travelling is enhanced, still, if the transverse tooth thickness of both sides flank profil increases simultaneously, reduces the spirit of steering instead
Activity and returnability.
By becoming modification coefficient non-circular gear is already present in reduce the design philosophy of noncircular gear pair backlash
In design, such as：Paper《Variable coefficient profile shifted modification method and its application in non-circular gear drive》(Tan Weiming,《Mechanic
Journey journal》,2003,39(4):It proposes in 141-144) in the fan transmission of non-knuckle-tooth, using variable coefficient profile shifted modification method, uses
In eliminate gear root cut, increase transverse tooth thickness and adjustment drive centre distancc, can be effectively improved transverse tooth thickness distribution and Undercutting Phenomenon, change
Potential coefficient is the modification coefficient function for 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 the modification coefficient based on pitch curve change in location for eliminating flank
Gap.Both methods all uses the gear of linear cutter experiment, with using rack cutter shaping in actual production
Difference, thus it is very limited to the practical directive significance of commercial process, on the other hand, repairing employed in paper
Shape method is relative complex.
In practical shaping, using the change of withdrawing or feed displacement correction of the flank shape, there are over-cuttings, no matter become shifting movement
Using ramp function or cosine function, profiling quantity will be had an impact by crossing the presence cut, and bring correction of the flank shape error, therefore control
Correction of the flank shape error is particularly significant.For the problem, paper《Withdrawing interference mechanism and bypassing method in non-circular gear Gear Shaping are ground
Study carefully》(bear town celery etc.,《Mechanical engineering journal》,2002,38(3):In 152-155), analyze and utilize the three-axis numerical control gear shaping machine transplanting of rice
Non-circular gear processed generates the principle of withdrawing interference, it is proposed that a kind of centre of gyration deviation geometric center for making pinion cutter is moved back with evading
Knife is interfered and realizes the new method of continuous Gear Shaping, and be processed as with inserting for noncircular planetary gear hydraulic motor ring gear
Example gives the implementation process and related algorithm of this method, by the rotation center for changing pinion cutter so that pinion cutter and work
The line of centres of part is consistent with withdrawing direction, so as to the interference that retracting movements is avoided to move gear shaping.Although this withdrawing of evading is done
The method and thinking related to is very novel, but fatal defects are that the cutter centre of gyration and geometric center are misaligned, actually using one
Kind of eccentric gear cutter, the cutter per revolution in shaping, each cutter tooth discontinuity, this to service life of cutter with
And processing quality is all unfavorable.Actually during correction of the flank shape, there are interference to be inevitable, and critical issue is how to calculate
Amount of interference, and pass through parameter adjustment, it is controlled.On the other hand, the technical solution which proposes only is solution cutting disc
Interference problem in tool processing non-circular gear withdrawing does not relate to be processed non-knuckle-tooth using rack cutter and fanned (in withdrawing do not have
Interference exists) interference problem in correction of the flank shape.
By above-mentioned analysis it is found that bias is substantially exactly a kind of correction of the flank shape of tooth fan flank profil, if tooth is fanned profile modification
It controls in certain angle range, only to segment correction of the flank shape a certain on center tooth exterior feature, this section of transverse tooth thickness is made to become larger, remaining transverse tooth thickness is not
Become, surely preferably meet required steering behaviour.Therefore, it is necessary to a kind of change profile shifted gear fan profile modification method is designed, i.e.,
During Gear Shaping, in a certain angular range that tooth fan is transformed into rack cutter, rack cutter is made to be advised by a kind of motion on a slope
Rule is retreated or is advanced, so as to obtain required tooth fan.
Invention content
The present invention seeks to be directed to background technology to propose problem, automobile steering device rocker arm shaft tooth fan tooth in the prior art is overcome
The defects of wide correction method, provides a kind of change displacement correction method of new automobile steering device rocker arm shaft tooth fan flank profil, by inserting
It cuts processing to realize, addendum modification uses ramp function, which is the function about tooth fan corner, by displacement starting, end angle
Degree and maximum three parameters of addendum modification determine, during the shaping mainly transformed into certain transmission ratio curve, by
Radial feed axis is realized by ramp function characteristics of motion withdrawing or feed.By in displacement starting and the change of termination point range
Position correction of the flank shape can make the flank profil of the certain segment in centre that tooth is fanned thickening, and so as to reduce, automobile steering device tooth fan rack is secondary to be nibbled
Gap, even open top container ship are closed, further improves motor turning performance.The correction method only needs that control conjugates
Correction of the flank shape can be realized in beginning, termination point and maximum three parameters of addendum modification, and method is simple, easy to operate.Due to correction of the flank shape process
In there are over-cutting, cross to cut and necessarily reduce theoretical profiling quantity, therefore, it is necessary to calculate theoretical flank profil and practical tooth, practical tooth
It is practical profiling quantity that exterior feature, which subtracts theoretic profile,.Respectively theoretical flank profil and practical tooth are calculated using flank profil method collimation method and envelope method
It is wide.If practical profiling quantity is unsatisfactory for theoretical profiling quantity requirement, bigger than normal or less than normal, then the displacement starting of ramp function is adjusted
Three angle, end angle and maximum addendum modification parameters, recalculate practical profiling quantity, until satisfaction, once it adjusts tiltedly
Three parameters of slope function, then be fixed up, put into production.Practice have shown that the tooth fan rack pair of this displacement correction of the flank shape makes vapour
Vehicle straight-line travelling is more stable.In terms of the application development trend secondary from steering gear nut rack tooth fan, this straight-line travelling is stable, turns to
Flexibly, the rack tooth fan pair of smooth-going is more acceptable to the market, and is had a extensive future, if can replace traditional steering gear, economic benefit ten
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 become conjugates
Correction method；It is characterized in that：The calculating function of the displacement correction method foundation is ramp function, the ramp function table
It is up to formula：
In above-mentioned formula (1)：E (θ) be about tooth fan rotational angle theta function, wherein C1To conjugate end angle, C2To conjugate
Beginning angle, emFor maximum addendum modification, which is divided into three sections, in both sides [- C2,-C1) and (C1,C2] in interval range by linear
Rule changes, centre [- C1,C1] the maximum addendum modification e of range holdingm；
Further, for there are problems that over-cutting causes to reduce theoretical profiling quantity during correction of the flank shape, pass through calculating
Theoretic profile and practical tooth, then practical tooth is subtracted into theoretic profile, practical profiling quantity is obtained, and use flank profil normal respectively
Method and envelope method calculate theoretical flank profil and practical tooth, when：
When practical profiling quantity is more than or less than theoretical profiling quantity, then the displacement initial angle of ramp function in formula (1) is adjusted
C2, displacement end angle C1With maximum addendum modification emThree parameters, recalculate practical profiling quantity, when practical profiling quantity is equal to theory
During profiling quantity, C in solidification formula (1)2、C1And emThree parameter values.
A kind of automobile steering device rocker arm shaft tooth fan profile modification method as described above, it is characterised in that：The motor turning
The correction of the flank shape process of device rocker arm shaft tooth fan flank profil is to complete profile modification by shaping on the digital control gear shaper of three-shaft linkage,
Set the withdrawing of the radial feed axis of the digital control gear shaper of the three-shaft linkage or the feed characteristics of motion to follow formula (1) described tiltedly
The slope function characteristics of motion, and：
Conjugate initial angle C2, displacement end angle C1With maximum addendum modification emThree parameters are cured value.
The beneficial effects of the invention are as follows：
(1) a kind of automobile steering device rocker arm shaft tooth fan profile modification method of the present invention, tooth is fanned by steering gear rocker arm shaft tooth
Wide change displacement correction of the flank shape, makes steering gear tooth fan back lash smaller of the rack pair in the certain angular range in middle, even
Without sideshake, so as to make automobile straight-line travelling more stable.A kind of steering gear rocker arm shaft tooth, which is provided, for automobile steering device industry fans tooth
Wide correction of the flank shape new method.
(2) present invention is had been carried out, and come into operation using ripe technical principle.
(3) in terms of the secondary application development trend of steering gear nut rack tooth fan, this straight-line travelling is stablized, turn to flexibly,
The rack tooth fan pair of smooth-going is more acceptable to the market, and is had a extensive future.
(4) domestic commercial vehicle yield expands year by year, and each car is required for a pair, if can replace traditional steering gear, warp
Benefit of helping is very huge.
Description of the drawings
Fig. 1 is that the present invention uses change displacement correction of the flank shape ramp function curve graph；
Fig. 2 is displacement theory of engagement figure；
Fig. 3 is that displacement flank profil is crossed and cuts 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 to design addendum modification, practical addendum modification with crossing comparison diagram of the amount of cutting at 0~10 °；
Fig. 9 a are the analogous diagram of non-knuckle-tooth fan processing and profile geometry in Gear Shaping and correction of the flank shape process；
Fig. 9 b are that the tooth of non-knuckle-tooth fan processing and profile geometry after Gear Shaping and correction of the flank shape fans flank profil figure；
Figure 10 a are the tooth fan large end face pictorial diagrams processed using the method for the present invention；
Figure 10 b are the rocker arm shaft tooth fan pictorial diagrams processed using the method for the present invention.
Specific embodiment
Below in conjunction with attached drawing, embodiments of the present invention is further illustrated, is done all within the spirits and principles of the present invention
Any modification, equivalent replacement or improvement etc., should be included within scope of the presently claimed invention, in the technical program not
It addresses in detail, is known technology.
A kind of automobile steering device rocker arm shaft tooth fan profile modification method of the present invention, includes the following steps：
1) set displacement flow function e (θ) that correction of the flank shape uses as：
Refer to the attached drawing 1, in above-mentioned formula (1), e (θ) is the function about tooth fan rotational angle theta.Wherein C1To conjugate end angle,
C2To conjugate initial angle, emFor maximum addendum modification.The function curve is divided into three sections, in both sides [- C2,-C1) and (C1,C2] section model
Change in enclosing by linear rule, centre [- C1,C1] the maximum addendum modification e of range holdingm, shape such as slope, therefore referred to as slope letter
Number.As shown in Figure 1, user only needs to set C1(displacement end angle), C2(displacement initial angle) and em(maximum addendum modification) these three
Parameter, you can complete profile modification setting.
2) it establishes and becomes profile shifted gear fan rack engagement model, solve engagement centrode
As shown in Fig. 2, during tooth fan rack engagement, it is assumed that tooth fan is rotated around dead axle coordinate origin, and rack does translational motion.
The centre of gyration is fanned as origin using tooth, using rack translation direction as X-axis, position fixing is established using tooth fan rack line of centres direction as Y-axis
It is [O；x,y].The centre of gyration is fanned as origin using tooth, tooth is established as Y-axis using tooth fan line of symmetry and fans coordinate system [O1；x1,y1]。P0Point
The instantaneous point of tooth fan rack engagement, P during for no shifting movement1When point is tooth fan rotation equal angular, tooth fan rack makees displacement
Instantaneous point during engagement.l0And l1When respectively without shifting movement and becoming shifting movement, rack participates in the flank profil of engagement；K0、K1Point
When respectively rotating equal angular, meshing point during engagement is engaged and is conjugated in no displacement.
When being engaged without displacement, according to gear mesh theory it is found that instantaneous point P0On line of centres of the tooth fan with rack, i.e. P0
Point is in the y-axis of position fixing system O.Instantaneous radius r=| OP1| it 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 rack is V0xAs P0The speed of point
V0x=| r | ω (3)
During displacement engagement, in the angular range internal messing for having displacement, rack can add one along centerline direction
Withdrawing or feed campaign, withdrawing or feed velocity depend on addendum modification e (θ),
During displacement engagement, it is still necessary to ensure the gearratio of steering gear, so the 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 rackDirectional velocity angle α=arctan (V0y/
V0x).The instantaneous point P of corresponding teeth fan1The speed V at place1It should all be with V on size and Orientation0It is identical.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 into above-mentioned formula (6), OP is represented with R1, then have：
R=r/cos α (7)
Instantaneous Movement Locus Equation is under position fixing system：
According to above-mentioned formula (8) it is found that when displacement is engaged, movement locus of the instantaneous point under position fixing system is no longer one
The straightway that item and tooth fan rack line of centres overlap, but one about moving back/the curve of feed velocity.By the wink under position fixing system
Heart point reversely rotates the angle that tooth fan turns over, you can acquires the instantaneous point under tooth fan coordinate system, instantaneous Center equation is is represented by：
In formula (9)：θ represents the angle of the tooth fan rotation in currently engagement point gearing
3) become profile shifted gear fan theoretic profile equation solution
Because meshing point is flank profil in the common normal of the point and the intersection point of common tangent, then meshing point can be by the common normal of the point
With common tangent solving simultaneous equation.Common tangent equation at meshing point is the cutter tooth-profile for 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) a known coordinate point in flank profil to participate in engagement on rack；
α1Pressure angle for the flank profil that engagement is participated on rack.
Understand that common normal is excessively instantaneous by Willis theorems, 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 of the point under position fixing system.
P1x=R cos (β+pi/2)=r tan (- α),
P1y=R cos (β+pi/2)=r.
Two equation solution of simultaneous, you can calculate coordinate of the meshing point under position fixing system.Engaging point coordinates can be by following formula
It calculates：
Formula (12) is equation of locus of the meshing point under position fixing system.
A rotation formula is reused,
In formula (13)：θ represents the angle of the tooth fan rotation in currently engagement point gearing
By meshing point around the angle of position fixing system negative direction turning gear fan rotation, the as meshing point under tooth fan coordinate system is sat
Mark.Formula (13) is tooth profile equation, point (x1, y1) it is any point in flank profil.
4) there are the proofs of over-cutting
As shown in figure 3, analyzing for convenience, when tooth fan is engaged with rack, tooth is fanned and is fixed, and rack should move,
It rotates.K0、K1The theoretical calculation flank profil without displacement and displacement is indicated respectively.Point P0Indicate the situation without displacement (e (θ) ≡ 0)
Under, during racks turn θ angles, the meshing point of tooth fan and rack；Point P1In the case of indicating displacement, during racks turn θ angles,
Tooth fans the meshing point with rack；l0And l1It is illustrated respectively in meshing point P0And P1Place cutter blade line.According to the transmission of design
Mode, l0It is parallel 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、V1yP is represented respectively1The instantaneous normal velocity of point and
Tangential velocity.Function of the addendum modification about angle is represented with e (θ), because meshing point is always on rack edge line, then V1xIt can be by
E (θ) is calculated.V1xIt is represented by：
In formula (14)：ω represents the angular speed of racks turn.
In being engaged in plane, the tooth fan rack tooth profile of fixed-axis rotation is suitable in the speed of related movement that any point engages
In speed of this to be rotated relative to angular speed around relative instantaneous centre of velocity, and as it is assumed that tooth fan is fixed, rack is mobile and turns
Dynamic, then rack is ω relative 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 of the meshing point in theoretical calculation flank profil is is 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 about the first derivative of θ, γ is not just 0, then V1Direction just not
It is overlapped with edge line.As e ' |θDuring ＞ 0 (situation shown in Fig. 3), V1Direction be biased to cutter interior, then there are a Δ θ ＞ 0,
So that tooth fan cornerWhen, the theoretical calculation flank profil of displacement part is in the rack cutter flank profil of current angular
" top " of line, cutter have cut off the tooth fan meshing point that will participate in engagement；As e ' |θDuring ＜ 0, V1Direction be biased to cutter
It is internal, then there are a Δ θ ＞ 0 so that tooth fans cornerWhen, change is conjugated at the theoretical calculation flank profil of part
In " lower section " of the rack cutter flank profil line of current angular, cutter has cut off processed flank profil part.Illustrate e ' |θ≠0
It may result in and generated the phenomenon that cutting during the Gear Shaping fanned in tooth, do not processed so as to cause theoretical meshing point finally
Flank profil on.
5) calculating of practical addendum modification
Practical tooth equation is calculated used here as envelope method.
As shown in figure 3, tooth is fanned and be fixed under position fixing system when being engaged with rack by tooth fan, rack is translated and is rotated
Compound motion.The flank profil of tooth fan is exactly that the envelope of straight line cluster that the flank profil of engagement is formed is participated on rack.When tooth fans rotational angle
When being 0, the point Q under coordinate system is set1(x1,y1) fixed point (such as the one of tooth top in the flank profil of engagement is participated in for rack
A vertex).When rack fans rotation θ around fixed tooth, point Q1It is moved to point Q '1.Point Q '1(x′1,y′1) under position fixing system
Coordinate is represented by：
Wherein：When representing only to consider translation, point Q1Mobile distance；
The set of curves equation that the flank profil formation of engagement is participated on rack is represented by：
F (x, y, θ)=tan (α) (x-x '1)-y+y′1=0 (18)
In formula：α=pi/2+α1After+θ represents racks turn θ angles, the flank profil line of engagement and position fixing system X are participated on rack
The angle of axis forward direction.
The tooth gone out by rack tooth profile straight line cluster envelope fans equation in coordinates：
Wherein：
By formula (17), (18) and (19) simultaneous solution, obtain practical tooth about angle, θ parametric equation：
In formula (20)：I is that tooth fans rack-driving ratio (tooth fans node to the length of the centre of gyration)；
K is to conjugate derivatives of the flow function e (θ) to θ；
L is rack lateral distance.
Use Pn(xn,yn) indicate the flank profil point of no displacement, the coordinate value of the 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, it is practical to conjugate non-knuckle-tooth fan
Flank profil point, i.e. formula (20), the point coordinates value are calculated by above-mentioned envelope method.Then practical addendum modification ep(θ) is represented by：
6) comparative analysis is with determining
Practical addendum modification, the excessively amount of cutting and the addendum modification of design obtained according to formula (21) is all to fan corner about tooth
Function compares and analyzes three.If practical profiling quantity is more than design profiling quantity, reduce maximum addendum modification em；If
Practical profiling quantity is less than design profiling quantity, then increases maximum addendum modification em.Then practical correction of the flank shape is recalculated according to formula (21)
Amount, until meeting the requirements.At this point, the starting and termination point of displacement will also meet design requirement.In this way, correction of the flank shape is used
The parameter of ramp function can be fixed up, for actual processing.
7) displacement correction of the flank shape is realized
It is realized on the digital control gear shaper of three-shaft linkage.When carrying out tooth fan Gear Shaping, usual main motion is cutter
Up-down stroke moves, and feed motion is：The front and rear feed motion of radial feed axis Y, moves horizontally the side-to-side movement of axis X-axis, work
The rotary motion of part rotary shaft C axis.Wherein X, C axis carry out generating motion by given transmission ratio curve, as shown in Figure 4.This Shen
The change displacement correction of the flank shape that please be proposed, i.e. modification coefficient press a kind of correction method of ramp function rule variation, by the feed of Y-axis and
Withdrawing is completed.Therefore, during tooth fan shaping, pass through X, C, Y three-shaft linkage, you can while complete correction of the flank shape and generating motion.
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, setting gearratio conjugate flow function, tiltedly using sectional broken line formula gearratio
Slope function is as shown in Figure 1.Major parameter is as shown in table 1 below in embodiment：
1 work pieces process major parameter table of table
The movement locus of instantaneous point is as shown in fig. 6, in Fig. 6 under position fixing system, 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 2 instantaneous positions of table
Tooth fan theoretic profile and tooth fan practical tooth are calculated respectively, obtain curve as shown in Figure 7.
Design as a result, addendum modification, practical profiling quantity and cross the amount of cutting and rotational angle relationship at 0~10 ° to score
Analysis is as shown in Figure 8.
Result of calculation shows：When tooth fans rotational angle theta=6.1 °, the amount of cutting maximum is crossed, is 0.0168mm；During θ=0 °, crossing the amount of cutting is
0, i.e. practical tooth overlaps at this with theoretic profile.
Machining simulation result is as shown in figures 9 a and 9b.
The part of actual processing is as as-shown-in figures 10 a and 10b.By examining, test meets user's requirement.
Pass through above example and explanation, it can be seen that a kind of automobile steering device rocker arm shaft tooth fan profile modification of the present invention
Method, the change that flank profil is fanned by steering gear rocker arm shaft tooth conjugate correction of the flank shape, and steering gear tooth is made to fan rack pair at the certain angle in middle
The back lash smaller of range is spent, even without sideshake, so as to make automobile straight-line travelling more stable.It is carried for automobile steering device industry
A kind of steering gear rocker arm shaft tooth fan profile modification new method is supplied.
In terms of the application development trend secondary from steering gear nut rack tooth fan, this straight-line travelling is stablized, and turns to flexible, smooth-going
Rack tooth fan pair be more acceptable to the market, have a extensive future.Since domestic commercial vehicle yield expands year by year, each car is required for one
Pair, if can replace traditional steering gear, economic benefit is very huge.
The present invention is had been carried out, and come into operation using ripe technical principle.
Claims (2)
- It is that a kind of become conjugates correction method 1. a kind of automobile steering device rocker arm shaft tooth fans profile modification method；It is characterized in that：Institute The calculating function of displacement correction method foundation is stated as ramp function, the ramp function expression formula is：In above-mentioned formula (1)：E (θ) be about tooth fan rotational angle theta function, wherein C1To conjugate end angle, C2To conjugate initial angle, emFor maximum addendum modification, which is divided into three sections, in both sides [- C2,-C1) and (C1,C2] linear rule is pressed in interval range Variation, centre [- C1,C1] the maximum addendum modification e of range holdingm；Further, for there are problems that over-cutting causes to reduce theoretical profiling quantity during correction of the flank shape, pass through computational theory Flank profil and practical tooth, then practical tooth is subtracted theoretic profile, obtain practical profiling quantity, and respectively using flank profil method collimation method and Envelope method calculates theoretical flank profil and practical tooth, when：When practical profiling quantity is more than or less than theoretical profiling quantity, then the displacement initial angle C of ramp function in formula (1) is adjusted2, become Position end angle C1With maximum addendum modification emThree parameters, recalculate practical profiling quantity, when practical profiling quantity is equal to theoretical profiling quantity When, C in solidification formula (1)2、C1And emThree parameter values.
- 2. a kind of automobile steering device rocker arm shaft tooth fan profile modification method as described in claim 1, it is characterised in that：The automobile The correction of the flank shape process of steering gear rocker arm shaft tooth fan flank profil is to complete flank profil by shaping on the digital control gear shaper of three-shaft linkage Correction of the flank shape, sets the withdrawing of the radial feed axis of the digital control gear shaper of the three-shaft linkage or the feed characteristics of motion follows formula (1) The ramp function characteristics of motion, and：Conjugate initial angle C2, displacement end angle C1With maximum addendum modification emThree parameters are cured value.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610983687.4A CN106392199B (en) | 2016-11-08 | 2016-11-08 | A kind of automobile steering device rocker arm shaft tooth fans profile modification method |
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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 |
| CN110977054B (en) * | 2019-12-11 | 2021-01-19 | 武汉理工大学 | Machining and manufacturing method of gear rack gear shaping with variable transmission ratio |
| 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 |
| 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 |
| CN113419488B (en) * | 2021-06-08 | 2022-07-08 | 湖北工业大学 | Method for eliminating variable-displacement modification over-cutting of non-circular fan |
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| SU1010768A2 (en) * | 1981-11-13 | 1987-02-15 | Новополоцкий Политехнический Институт Им.Ленинского Комсомола Белоруссии | Gear shaper |
| SU1294512A1 (en) * | 1985-06-04 | 1987-03-07 | Саратовское Специальное Конструкторское Бюро Зубообрабатывающих Станков | Drive of tool spindle of gear shaper |
| CN1099680A (en) * | 1993-08-30 | 1995-03-08 | 大连理工大学 | Tooth face working method for speed rate changeable gear and expansion mechanism |
| CN101412129B (en) * | 2008-11-25 | 2010-06-02 | 天津第一机床总厂 | Computing formula for processing rocker shaft eccentric toothed sector of numerical control gear shaping machine and processing method |
| CN101704133B (en) * | 2009-11-19 | 2011-10-05 | 杭州世宝汽车方向机有限公司 | Manufacturing method of rocker shaft gear sector of negative ratio redirector |
| CN103846507B (en) * | 2012-12-04 | 2017-01-25 | 中车戚墅堰机车车辆工艺研究所有限公司 | Hobbing processing method of gear |
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