CN105004289B - Towards the multichannel Pneumatic Measuring Method of Coupled Pair and device of globoid cam profile surface normal error - Google Patents
Towards the multichannel Pneumatic Measuring Method of Coupled Pair and device of globoid cam profile surface normal error Download PDFInfo
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Abstract
The invention discloses a kind of multichannel Pneumatic Measuring Method of Coupled Pair and device towards globoid cam profile surface normal error：According to the measurement sampling policy for waiting parameter sampling method to determine globoid cam profile surface；Set up the depth of engagement feature line model such as globoid cam；Set up the globoid cam line model of the contact with index dial roller；According to etc. depth of engagement feature line model and contact line model, according to measurement sampling policy, build the multichannel air measuring device of globoid cam profile surface normal error and determine each axle characteristics of motion of measurement apparatus, realize the normal direction measurement of globoid cam profile surface；According to measurement result, globoid cam profile surface normal error is calculated, the present invention can realize carrying out accurate measurement to the mismachining tolerance of globoid cam profile surface, the profile surface normal error of tested globoid cam is determined by measurement result.
Description
Technical field
The invention belongs to the mismachining tolerance detection technique field of globoid cam, it is related to one kind to realize globoid cam profile surface normal direction
The multichannel Pneumatic Measuring Method of Coupled Pair and device of error-detecting.
Background technology
Transmission mechanism with globoid cam as core members has that high precision, bearing torque be big, compact conformation, long service life
The features such as, the extensive use in many automations.Numerical-control processing method is mainly used to globoid cam both at home and abroad at present, very
The machining accuracy and processing efficiency of globoid cam are improve in big degree.But the performance of domestic globoid cam formula transmission mechanism product
Larger gap is still present with external same specification product, the occupation rate in market is also very low.Its basic reason is globoid cam work
Profile surface is the spiral camber that can not be opened up, and its processing is with detection to the costliness instrument such as Precision NC machine center, three coordinate measuring machine
Equipment heavy dependence, it is Globoidal Indexing Cam Mechanism product system to realize that globoid cam profile surface mismachining tolerance is efficient, low cost is measured
An important topic in making.Most important index is the profile surface normal direction mistake of globoid cam in globoid cam processing curve precision
Difference.Therefore, the high efficiency, low cost detection to realizing globoid cam profile surface normal error is needed badly to study.
Pneumatic gauging have measurement multiplying power (resolution ratio is up to 0.5 μm) high, certainty of measurement it is high, measurement power it is small, to be tested work
Part has the advantages that self-cleaning action, certainty of measurement retentivity be good, strong antijamming capability, is widely used in machine-building part high-precision
Detection.It is different according to measurement object, design corresponding measuring head structure, you can realize the high-acruracy survey of corresponding size.
The content of the invention
It is an object of the invention to provide a kind of multichannel Pneumatic Measuring Method of Coupled Pair towards globoid cam profile surface normal error
And device, globoid cam profile surface crudy can quickly be measured.
To reach above-mentioned purpose, present invention employs following technical scheme：
A kind of multichannel Pneumatic Measuring Method of Coupled Pair towards globoid cam profile surface normal error, comprises the following steps：
1) using globoid cam and index dial roller depth of engagement h and globoid cam angular displacement as control parameter, selection
The first-class depth of engagement characteristic curve of globoid cam profile surface and globoid cam rotate a circle during contact line intersection point PijIt is measurement
Point, the depth of engagement takes [h1,h2,h3,...,hm] m value, globoid cam angular displacement takes [θ1,θ2,...,θn] n value, i=1,2,
3 ..., m, j=1,2,3 ..., n；
2) by the working face of tested globoid cam and multichannel plug jet according to globoid cam profile surface and index dial roller
The rigging position relation of working face is installed, and the working face of the multichannel plug jet is radius ratio index dial radius of roller
The face of cylinder of small Δ r, is provided with m air-blast atomizer on the face of cylinder, the axial spacing of adjacent air-blast atomizer is nibbled according to adjacent etc.
The change for closing the depth of engagement corresponding to depth characteristic line is determined；
3) by step 2) after, make tested globoid cam with constant rotational speed ω2Uniform rotation, meanwhile, according to index dial angle
Relation between displacement φ and contact angle β and globoid cam angular displacement, makes multichannel plug jet both by the index dial characteristics of motion
Motion, and moved by contact angle Changing Pattern；
4) measure in motion process obtaining with corresponding intersection point gap width d according to multichannel plug jetij, calculate arc
M × n normal error Δ the f of measurement point in face cam profile surfaceij：
Δfij=dij-Δr
5) according to Δ fijIt is calculated globoid cam profile surface normal error.
The absolute value of the differences of the depth of engagement of depth of engagement characteristic curve such as arbitrary neighborhood two is definite value Δ h, any phase
The axial spacing of adjacent two air-blast atomizers is Δ h.
The m air-blast atomizer is distributed along helix.
The contact angle Changing Pattern is：
Wherein, ω1And ω2Index dial and globoid cam respective angle when respectively Globoidal Indexing Cam Mechanism is moved
Velocity magnitude, C represents the centre-to-centre spacing of globoid cam and index dial, and l is the distance for indexing disk center to roller upper surface.
The globoid cam profile surface normal error is positivity bias maximum max Δs f in all measurement point normal errors+
With negative sense deviation maximum max Δs f-Sum：
F=max Δs f++maxΔf-
Δ r is equal to the midpoint of the multichannel plug jet measurement range.
A kind of multichannel air measuring device towards globoid cam profile surface normal error, including multichannel plug jet with
And measured material platform, the active section that rotates coaxially and supporting section of the multichannel plug jet including interconnection, the work
It is the face of cylinder of the small Δ r of the tested corresponding index dial radius of roller of globoid cam of radius ratio to make section, and m is provided with the face of cylinder
The air-blast atomizer of axially spaced arrangement, m ＞ 1；Measured material platform includes frame, cam direction of principal axis stepper motor, globoid cam
Support shaft, underframe, index dial direction of principal axis stepper motor, indexing rotating shaft, gauge head support frame and roller direction of principal axis stepper motor, arc
Face cam support shaft is supported in frame, and cam direction of principal axis stepper motor is connected with globoid cam support shaft, indexes shaft support
In on underframe, the one end for indexing rotating shaft is connected with index dial direction of principal axis stepper motor, and the other end is connected with gauge head support frame, leads to more
The supporting section of road plug jet is supported on gauge head support frame, and roller direction of principal axis stepper motor is connected with the supporting section, cambered surface
The axis of cam support axle intersects vertically with the axis of the active section of multichannel plug jet in same level, multichannel gas
The axis of the active section of dynamic gauge head intersects vertically with the axis of indexing rotating shaft in same perpendicular.
The axial spacing of two air-blast atomizers of arbitrary neighborhood is equal.
The m air-blast atomizer is distributed along helix.
The indexing rotating shaft is convex with cambered surface with the distance of globoid cam support shaft and the active section of multichannel plug jet
The distance for taking turns support shaft can adjust.
The present invention simulates index dial roller, in gauge head and tested globoid cam using the principle of pneumatic gauging using gauge head
Motion process in realize the measurement of globoid cam profile surface normal error, the expensive measuring instrument such as three coordinate measuring machine can be replaced
Equipment, reduces measurement cost, improves measuring speed, realizes that the high efficiency and low cost of globoid cam profile surface normal error are surveyed
Amount.
Brief description of the drawings
Fig. 1 is measuring system block diagram of the present invention；
Fig. 2 is Globoidal Indexing Cam Mechanism coordinate system；
Fig. 3 a are globoid cam multichannel pneumatic gauging clamping fixture table structural front view；
Fig. 3 b are globoid cam multichannel pneumatic gauging clamping fixture table structure left view；
Fig. 3 c are globoid cam multichannel pneumatic gauging clamping fixture table structure top view；
Fig. 3 d are globoid cam multichannel pneumatic gauging clamping fixture table structural perspective；
Fig. 4 is measuring system gas circuit schematic diagram；
Fig. 5 is measurement procedure figure；
Fig. 6 is measurement sampling policy schematic diagram；
Fig. 7 is the partial enlarged drawing of Fig. 6；
In figure：Underframe 1, index dial direction of principal axis stepper motor 2, shaft coupling 3, indexing rotating shaft 4, bearing block 5, bearing block 6, machine
Frame 7, tested globoid cam 8, globoid cam support shaft 9, shaft coupling 10, cam direction of principal axis stepper motor 11, roller direction of principal axis step
Stepper motor 12, gauge head support frame 13, shaft coupling 14, gauge head 15, air inlet pipe 16.
Specific embodiment
The present invention is elaborated with reference to the accompanying drawings and examples.
Referring to Fig. 5, the multichannel Pneumatic Measuring Method of Coupled Pair towards globoid cam profile surface normal error of the present invention：(1) root
According to the measurement sampling policy for waiting parameter sampling method to determine globoid cam profile surface；(2) depth of engagement feature such as globoid cam is set up
Line model；(3) the globoid cam line model of the contact with index dial roller is set up；(4) according to etc. depth of engagement feature line model and
Contact line model, according to measurement sampling policy, the multichannel air measuring device for building globoid cam profile surface normal error is simultaneously true
Determine each axle characteristics of motion of measurement apparatus, realize that globoid cam profile surface normal direction is measured；(5) according to measurement result, it is calculated arc
Face cam profile surface normal error, is described as follows.
(1) according to the measurement sampling policy for waiting parameter sampling method to determine globoid cam profile surface
It is quantitative description globoid cam profile surface, sets up the coordinate system of Globoidal Indexing Cam Mechanism, as shown in Fig. 2 including three
Individual coordinate system：
1. the position fixing system OXYZ for being consolidated with frame：Using the line at index dial pivot and globoid cam center as X
Axle, using the axis of index dial as Z axis, Y direction is obtained according to X-axis and Z-direction according to right-hand rule；Origin O
It is set to index dial pivot.
2. the moving coordinate system O for being consolidated with index dial1X1Y1Z1：Using the axis of index dial roller as X1Axle, Z1Axle with determine seat
The Z axis of mark system OXYZ overlap, according to X1Axle and Z1Direction of principal axis obtains Y according to right-hand rule1Direction of principal axis；Origin O1With O point weights
Close.
3. the moving coordinate system O for being consolidated with globoid cam2X2Y2Z2：X2Axle differs θ (angular displacement of globoid cam), Y with X-axis2
Axle overlaps with the axis of rotation of globoid cam, Z2Axle is with reference to right-hand rule, origin O2Position is globoid cam center.
Under these three coordinate systems, two curved surfaces for participating in engagement can mutually be derived.Due to index dial roller
Mathematical description of the curved surface (the usually face of cylinder) in space is simple, and globoid cam profile surface can not be transformed into space, it is impossible to
It is described by existing model, therefore the contour surface equatin of globoid cam is solved according to index dial roller surface equation.Specifically push away
Water conservancy diversion journey is as follows：
In coordinate system O1X1Y1Z1In, the surface equation of roller, roller contact point c are set up with vector method1Space vectorCan be expressed as：
In formula：L is distance of the index dial pivot to roller upper surface；H is the point c on roller1To roller upper surface
Distance, the as depth of engagement of Globoidal Indexing Cam Mechanism；R is the radius of roller；β is point c1Contact angle, T representing matrixs
Transposition.
If with point c on globoid cam1The point being in contact is c2, defining point c2In coordinate system O2X2Y2Z2In space vector beR1、R2Respectively contact point c1、c2Space vector in coordinate system OXYZ.Assembling according to Globoidal Indexing Cam Mechanism is closed
System and space coordinate transformation principle can be obtained：
R1=R2+C (2)
C=(C, 0,0) in formulaTIt is globoid cam and the centre-to-centre spacing of index dial.
φ is index dial angular displacement in formula.
θ is globoid cam angular displacement in formula.
According to formula (1) to formula (4), arrangement obtains the theoretic profile of globoid cam in coordinate system O2X2Y2Z2In expression formula
For：
For Globoidal Indexing Cam Mechanism, under conditions of the determination of mechanism structure size, in the indexing disc spins in formula (5)
The heart to roller upper surface apart from l, radius of roller r, and centre-to-centre spacing C be constant, index dial angular displacement φ and contact angle β with
Globoid cam angular displacement changes according to the characteristics of motion of design.
Globoid cam profile surface is space undeveloped curved surface, belongs to complex-curved.Parameter sampling method is waited according to complex-curved,
Selected globoid cam is with index dial roller depth of engagement h and the two parameters of globoid cam angular displacement as control parameter, selection
The depth of engagement characteristic curve such as m bars [L1,L2,L3...,Lm] with globoid cam rotate a circle during n bar contact lines [S1,S2,
S3...,Sn] grid that is constituted, as the examination network of globoid cam profile surface.Wherein the depth of engagement takes [h1,h2,h3,...,
hm] m value, angular displacement takes [θ1,θ2,...,θn] n value, it is P etc. the intersection point of depth of engagement characteristic curve and contact lineij(i=1,
The depth of engagement characteristic curve numbering such as 2,3 ..., m, correspondence；J=1,2,3 ..., n, correspondence contact line numbering), then the measurement
Grid can be expressed as：
It is located at the intersection point P of above-mentioned examination networkijThe globoid cam profile surface normal error at place is Δ fij, then cambered surface is obtained convex
Contoured surface normal error matrix expression is：
The normal error of globoid cam profile surface is measured using the method for pneumatic gauging, it is necessary to assure jet expansion direction and survey
The normal direction for measuring point overlaps.In the present invention, measuring head structure is designed according to the structure of index dial roller, referring to Fig. 4 and Fig. 6
And Fig. 7, m air-blast atomizer is equally distributed on a face of cylinder of the small Δ r of radius ratio roller along helix.Wherein, m gas
Dynamic nozzle [M1,M2,M3,...,Mm] position to roller upper surface distance, with the depth of engagement characteristic curve [L such as m bars1,L2,
L3...,Lm] the corresponding depth of engagement is identical, is equal to [h1,h2,h3,...,hm].The reason for being arranged so as to be ensure nozzle it
Between there is enough gaps and do not interfere with each other, while for pneumatic gauging stays measurement gap a Δ r, Δ r to be equal to designed pneumatic survey
The midpoint of head measurement range, can so realize globoid cam profile surface adopting along the positive and negative both direction profile errors data of normal direction
Collection.When globoid cam is engaged with index dial roller, the meshing point on index dial roller overlaps with the meshing point on globoid cam.Order
Air-blast atomizer Way out can be expressed as by the meshing point on index dial roller, the then gap width that air-blast atomizer is measured：
According to geometrical relationship, P at current globoid cam profile surface meshing point can be obtainedijNormal error Δ fijWith it is pneumatic
The gap width d for measuringijThere is following relation：
dij=Δ r+ Δs fij (9)
Analyzed according to more than, it is determined that measuring sampling policy below：
1. the depth of engagement characteristic curve such as m bars is divided into m measurement, n measurement point is taken on the depth of engagement characteristic curve such as every.
When 2. measuring every time, globoid cam presses angular velocity omega2Uniform rotation, gauge head is axially moved along index dial by index dial
Rule rotate, while gauge head along roller direction of principal axis according to contact angle Changing Pattern rotate, it is ensured that the air-blast atomizer moment with it is corresponding
Etc. the intersection point of depth of engagement characteristic curve and current contact line overlap.
(2) depth of engagement feature line model such as globoid cam is set up
Therefore, when θ takes 0 degree to 360 degree, and depth of engagement h is certain value H, if (xH,yH,zH)TFor etc. the depth of engagement it is special
Levy on line put coordinate, obtain in globoid cam profile surface etc. depth of engagement characteristic strips equation：
(3) the globoid cam line model of the contact with index dial roller is set up
From conjugation meshing relation, the relative velocity direction of certain meshing point should be between globoid cam profile surface and roller curved surface
The common normal direction of the point is vertical.Using the expression way of geometry, that is, two curved surfaces relative velocity and the list of the meshing point
The dot product of position normal vector is equal to zero, and expression formula is as follows：
n2·v12=0 (11)
N in formula2It is contact point c in globoid cam profile surface2Unit normal vector, v12It is globoid cam profile surface and roller curved surface
Speed of related movement vector.
In moving coordinate system O1X1Y1Z1In, the contact point c on roller curved surface1Unit normal direction Vector operation it is as follows：
According to conjugate curved surface principle and the spin moment tactical deployment of troops：
n2=Tφ,Z·n1 (13)
v12=w1×R1-w2×R2 (14)
Wherein, ω1, ω2The respectively angular velocity vector of index dial and globoid cam under coordinate system OXYZ, it calculates public
Formula is as follows：
w1=Tφ,Z·(0,0,ω1)T=(0,0, ω1)T (15)
Tφ,ZThe Space Rotating matrix for rotating φ about the z axis is represented,Represent around Y2Axle rotates the Space Rotating matrix of θ.
Above formula is arranged, by formula (15) and formula (16) substitution formula (14), you can obtain globoid cam and index dial roller
Contact line expression formula：
In formula, there are two values in the corresponding β of same depth of engagement h, be separated by 180 °, roller curved surface and cambered surface are represented respectively
Two contact lines of cam contour surface.Because the left-handed and dextrorotation of globoid cam point, positive sign and negative sign in difference corresponding (17),
Discussion below is discussed just for left-handed situation, and the research method for dextrorotation is identical with left-handed.
(4) according to sampling policy, the multichannel air measuring device of globoid cam profile surface normal error is built, it is determined that measurement
Each axle characteristics of motion of device, realizes that globoid cam profile surface normal direction is measured：
Sampling policy according to step (1), builds the multichannel pneumatic gauging dress of globoid cam profile surface normal error
Put.Measurement apparatus include multichannel pneumatic measuring system, measured material platform and computer.
Referring to Fig. 1 and Fig. 4, multichannel pneumatic measuring system include source of the gas (containing air compressor, gas tank), filter,
Manual ball valve (switch), accurate pressure maintaining valve, choke valve, differential pressure pick-up, multichannel plug jet and signal conditioning circuit, realize
The pneumatic parameter transform that gauge head is measured is globoid cam profile surface data.
Referring to Fig. 6 and Fig. 7, multichannel plug jet is divided into active section and supporting section two parts.Active section part is ratio
The face of cylinder of the small Δ r of index dial radius of roller, multiple air-blast atomizers are equally distributed on the face of cylinder along helix.Supporting section is survey
Head provide support and for coaxial transmission, the air inlet pipe 16 with nozzle UNICOM is also disposed on supporting section, supporting section with measurement
Clamping fixture table is connected.
Referring to Fig. 3 a~Fig. 3 d, measured material platform includes globoid cam clamping fixture table and plug jet clamping fixture table two parts.Arc
Face cam clamping fixture table includes that frame 7, cam direction of principal axis stepper motor 11, encoder (are sensed as cam axial direction rotational angle displacement
Device), shaft coupling 10, rolling bearing, bearing block 6 and globoid cam support shaft 9, provide support and along arc for tested globoid cam 8
The uniform angular velocity of face cam axle rotates (globoid cam axle is rotated coaxially with tested globoid cam), and globoid cam support shaft 9 is by setting
The rolling bearing supporting in frame 7 is put, the rolling bearing is arranged on bearing block 6, and cam direction of principal axis stepper motor 11 passes through
Shaft coupling 10 is connected with globoid cam support shaft 9.Plug jet clamping fixture table include underframe 1, index dial direction of principal axis stepper motor 2,
3,2 encoders of shaft coupling (rotate in a circumferential direction angular displacement sensor and index dial axial-rotation angle displacement transducer respectively as gauge head
Device), indexing rotating shaft 4, gauge head support frame 13, rolling bearing, bearing block 5, roller direction of principal axis stepper motor 12, shaft coupling 14 and rolling
Dynamic bearing, realize gauge head on index dial direction of principal axis by the index dial characteristics of motion rotate, while gauge head along roller direction of principal axis according to
Contact angle Changing Pattern is rotated.Indexing rotating shaft 4 is supported by the rolling bearing being arranged on underframe 1, and the rolling bearing is arranged at
On bearing block 5, index dial direction of principal axis stepper motor 2 is connected by shaft coupling 3 with indexing rotating shaft 4.Gauge head support frame 13 is arranged on
In indexing rotating shaft 4, the supporting section of gauge head is supported by the rolling bearing being arranged on gauge head support frame 13, roller direction of principal axis stepping electricity
Machine 12 is connected by shaft coupling 14 with the supporting section of gauge head, and the active section of gauge head is relative with globoid cam support shaft 9, globoid cam
The axis of support shaft 9 intersects vertically with the axis of active section in same level, axis and the indexing of globoid cam support shaft 9
The distance of the axis of rotating shaft 4 is adjusted to equal to centre-to-centre spacing C.
Computer sends signal according to the signal of correspondence encoder to corresponding stepper motor driver, completes to walk correspondence
The control of stepper motor.According to the sampling policy described in step (1), globoid cam clamping fixture table needs to provide one along cam for cam
The constant rotational speed of axial direction is ω2Uniform rotation.For gauge head, it is necessary to be input into the rotary motion of both direction：
Direction 1 --- the rotation of index dial axial direction, it is assumed that index dial is moved by sinusoidal acceleration characteristics of motion is improved：
φ in formulafIt is the Index angle of the indexing phase of index dial, T*Nondimensional timeθfIt is the indexing of globoid cam
The Index angle of phase.
Direction 2 --- the rotation of roller axial direction
Use different depth of engagement hiCorresponding nozzle MiWhen, the roller direction of principal axis anglec of rotation presses βiRule is rotated.
By the motion in above three direction, it is ensured that during measurement, jet expansion direction keeps with the normal direction of measurement point all the time
Overlap, so as to realize that globoid cam profile surface normal direction is measured.
(5) according to measurement result, by data processing software, computer is processed the data of m channel measurement, meter
Globoid cam profile surface normal error is calculated, the result printout that will finally measure
M × n measurement point (P is measured according to above stepijCorrespondence position) gap width, calculate globoid cam profile surface on it is right
Answer the normal error Δ f at measurement point positionij, according to the definition of globoid cam profile surface normal error, globoid cam profile surface
Normal error is the maximum sum of all measurement point positivity biases and negative sense deviation, i.e.,
F=max Δs f++maxΔf- (20)
Applicating example
1. measurement apparatus are built
Gauge head includes 8 air-blast atomizers, i.e. m=8.
2. tested globoid cam and correspondence plug jet are installed
Tested globoid cam and correspondence plug jet are arranged on globoid cam clamping fixture table and plug jet clamping fixture table respectively
On.The distance of adjustment gauge head clamping fixture table and globoid cam, it is ensured that the working face of gauge head is with tested globoid cam profile surface according to cambered surface
Cam contour surface is installed with the rigging position of index dial roller working face.
The index dial radius of roller r of tested globoid cam is 12mm, and roller length is 10mm, and centre-to-centre spacing C is 120mm, quilt
Survey the angular velocity omega of globoid cam2It is π rad/s, the roller number of index dial is 10, index dial indexing phase corner is π/5；Index dial
The characteristics of motion for improve sinusoidal acceleration characteristics of motion.
3. according to measurement sampling policy, the examination network that depth of engagement characteristic curve and the contact line such as foundation are constituted
8 air-blast atomizer positions to roller upper surface distance be [2,3,4,5,6,7,8,9] mm, therefore choose cambered surface
With the distance of the index dial roller position of engagement to roller upper surface it is 8 contour lines of H=[2,3,4 ..., 9] on cam contour surface
As measurement etc. depth of engagement characteristic curve [L1,L2,L3...,L8]。
50 different θ are taken in the globoid cam process of rotating a circle, wherein a θ value is taken every 2 degree in indexing section, totally 18
Individual position, takes a θ value every 10 degree, totally 32 positions section is rested.In this 50 positions to that should have 50 instantaneous contact lines
Sj(j=1,2,3 ..., 50), take 8 characteristic point [P in every contact line1j,P2j,P3j,...,P8j] (j=1,2,3 ...,
50).Thus, it is possible to obtain the globoid cam profile surface measurement being made up of the depth of engagement characteristic curves such as 8 and 50 instantaneous contact lines
Grid.
4., according to measurement sampling policy, each axle characteristics of motion of measured material platform is determined
Globoid cam clamping fixture table is by motion control card control camshaft direction stepper motor for tested globoid cam is provided
Angular speed is the uniform rotation of π rad/s.
Plug jet clamping fixture table provides the fine rotational of both direction by motion control card for gauge head, is respectively：
Direction 1 --- index dial axial direction presses globoid cam characteristics of motion fine rotational：
Direction 2 --- the rotation of roller axial direction.
According to the difference of the air-blast atomizer for using every time, the h in formulai[2,3,4,5,6,7,8,9] are taken as respectively, that is, obtain
8 contact angle Changing Pattern [β1,β2,β3,β4,β5,β6,β7,β8]。
5., according to measurement result, by data processing software, globoid cam profile surface normal error is calculated
8 × 50 measurement points to the gap width d of globoid cam profile surface are measured according to above stepij, i=1,2,3 ..., 8,
I for etc. the depth of engagement characteristic curve numbering；J=1,2,3 ..., 50, j are numbered for contact line, by being calculated corresponding point position
Globoidal Cam's Profile Tolerance data Δ fij.According to the definition of globoid cam profile surface normal error, globoid cam profile surface normal error
It is the maximum sum of all measurement point positivity biases and negative sense deviation, i.e.,
F=max Δs f++maxΔf-。
Claims (10)
1. a kind of multichannel Pneumatic Measuring Method of Coupled Pair towards globoid cam profile surface normal error, it is characterised in that：Including following step
Suddenly：
1) using globoid cam and index dial roller depth of engagement h and globoid cam angular displacement as control parameter, cambered surface is selected
The first-class depth of engagement characteristic curve of cam contour surface and globoid cam rotate a circle during contact line intersection point PijIt is measurement point, nibbles
Close depth and take [h1,h2,h3,...,hm] m value, globoid cam angular displacement takes [θ1,θ2,...,θn] n value, i=1,2,
3 ..., m, j=1,2,3 ..., n；
2) working face of tested globoid cam and multichannel plug jet is worked according to globoid cam profile surface and index dial roller
The rigging position relation in face is installed, and the working face of the multichannel plug jet is the radius ratio small Δ of index dial radius of roller
The face of cylinder of r, is provided with m air-blast atomizer on the face of cylinder, the axial spacing of adjacent air-blast atomizer waits engagement deep according to adjacent
The change of the depth of engagement corresponding to degree characteristic curve is determined；
3) by step 2) after, make tested globoid cam with constant rotational speed ω2Uniform rotation, meanwhile, according to index dial angular displacement φ
And the relation between contact angle β and globoid cam angular displacement, multichannel plug jet is both moved by the index dial characteristics of motion,
The motion of contact angle Changing Pattern is pressed again；
4) measure in motion process obtaining with corresponding intersection point gap width d according to multichannel plug jetij, calculate cambered surface convex
M × n normal error Δ the f of measurement point on contoured surfaceij：
Δfij=dij-Δr
5) according to Δ fijIt is calculated globoid cam profile surface normal error.
2. a kind of multichannel Pneumatic Measuring Method of Coupled Pair towards globoid cam profile surface normal error according to claim 1, it is special
Levy and be：The absolute value of the differences of the depth of engagement of depth of engagement characteristic curve such as arbitrary neighborhood two is definite value Δ h, arbitrary neighborhood
The axial spacing of two air-blast atomizers is Δ h.
3. a kind of multichannel Pneumatic Measuring Method of Coupled Pair towards globoid cam profile surface normal error according to claim 1, it is special
Levy and be：The m air-blast atomizer is distributed along helix.
4. a kind of multichannel Pneumatic Measuring Method of Coupled Pair towards globoid cam profile surface normal error according to claim 1, it is special
Levy and be：The contact angle Changing Pattern is：
Wherein, ω1And ω2Index dial and globoid cam respective angular speed when respectively Globoidal Indexing Cam Mechanism is moved
Size, C represents the centre-to-centre spacing of globoid cam and index dial, and l is the distance for indexing disk center to roller upper surface.
5. a kind of multichannel Pneumatic Measuring Method of Coupled Pair towards globoid cam profile surface normal error according to claim 1, it is special
Levy and be：The globoid cam profile surface normal error is positivity bias maximum max Δs f in all measurement point normal errors+
With negative sense deviation maximum max Δs f-Sum：
F=max Δs f++maxΔf-。
6. a kind of multichannel Pneumatic Measuring Method of Coupled Pair towards globoid cam profile surface normal error according to claim 1, it is special
Levy and be：Δ r is equal to the midpoint of the multichannel plug jet measurement range.
7. a kind of multichannel air measuring device towards globoid cam profile surface normal error, it is characterised in that：Including multichannel
Plug jet (15) and measured material platform, the work that rotates coaxially of the multichannel plug jet (15) including interconnection
Section and supporting section, the active section are the face of cylinder of the small Δ r of the tested corresponding index dial radius of roller of globoid cam of radius ratio, should
The m air-blast atomizer of axially spaced arrangement, m ＞ 1 are provided with the face of cylinder；Measured material platform includes frame (7), camshaft side
To stepper motor (11), globoid cam support shaft (9), underframe (1), index dial direction of principal axis stepper motor (2), indexing rotating shaft (4),
Gauge head support frame (13) and roller direction of principal axis stepper motor (12), globoid cam support shaft (9) is supported in frame (7), convex
Wheel direction of principal axis stepper motor (11) is connected with globoid cam support shaft (9), and indexing rotating shaft (4) is supported on underframe (1), and indexing turns
One end of axle (4) is connected with index dial direction of principal axis stepper motor (2), and the other end is connected with gauge head support frame (13), multichannel gas
The supporting section of dynamic gauge head (15) is supported on gauge head support frame (13), roller direction of principal axis stepper motor (12) and the supporting section phase
Even, the axis of globoid cam support shaft (9) hangs down with the axis of the active section of multichannel plug jet (15) in same level
Straight intersecting, the axis of the active section of multichannel plug jet (15) is with the axis of indexing rotating shaft (4) in same perpendicular
Intersect vertically.
8. a kind of multichannel air measuring device towards globoid cam profile surface normal error according to claim 7, it is special
Levy and be：The axial spacing of two air-blast atomizers of arbitrary neighborhood is equal.
9. a kind of multichannel air measuring device towards globoid cam profile surface normal error according to claim 7, it is special
Levy and be：The m air-blast atomizer is distributed along helix.
10. a kind of multichannel air measuring device towards globoid cam profile surface normal error according to claim 7, it is special
Levy and be：Indexing rotating shaft (4) and the distance and the active section of multichannel plug jet (15) of globoid cam support shaft (9)
Distance with globoid cam support shaft (9) can adjust.
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