CN108319787A - Roll the design method of the flute profile roller roller curve with cyclic curve - Google Patents
Roll the design method of the flute profile roller roller curve with cyclic curve Download PDFInfo
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- CN108319787A CN108319787A CN201810113361.5A CN201810113361A CN108319787A CN 108319787 A CN108319787 A CN 108319787A CN 201810113361 A CN201810113361 A CN 201810113361A CN 108319787 A CN108319787 A CN 108319787A
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- G06F30/10—Geometric CAD
- G06F30/17—Mechanical parametric or variational design
Abstract
The invention discloses the design methods of flute profile roller roller curve of the rolling with cyclic curve, comprise the steps of：(1) analysis rolls the relationship between common plank roller curve and the surface curve of rolled piece, show that two curves are tangent relations；(2) coordinate system is established, using the center of circle on roll as coordinate origin, establishes absolute coordinate system；Using the point on rolled piece center line as origin, relative coordinate system is established；The point that relative coordinate is fastened can be rotated around the coordinate origin of absolute coordinate system；(3) relative position relation for utilizing rolled piece and roll, obtains the equation in coordinates in relative coordinate system topping roll curve；(4) position relationship of relative coordinate system and absolute coordinate system, the roller curve equation roller curve equation that relative coordinate is fastened being changed into absolute coordinate system are utilized.This method designs roll shape by the cyclic curve of institute's rolled piece, therefore can guarantee that the thickness of rolled piece after molding is uniform, improves the stability of forming process and the quality of product.
Description
Technical field
The present invention relates to Machine Designs, are exactly the designs of flute profile roller roller curve of the rolling with cyclic curve
Method is applied to metallurgical test.
Background technology
It when rolling the rolled piece with cyclic curve, needs to design the roll with cyclic curve, there is cyclic curve
Roll shape very close to straight-tooth gear, therefore referred to as curved roller.Although flute profile roller has similar appearance with gear,
Its effect is entirely different.A pair of of gear is only active there are one gear, and effect is to transmit movement and load；And a pair of of tooth
The both actives of type roller, effect is forming metal.Therefore, compared with gear, the design of flute profile roller has particularity.It influences
The factor of roll shape is many-sided and conflicting, and when design must be considered.In general, roller curve is reasonable
Property is mainly differentiated by following index：
The cyclic curve of 1 rolled piece has excellent geometrical performance.
The surface of the cyclic curve of 2 rolled pieces is smooth, thickness is uniform.
3 forming processes are stablized.
Opposite sliding on 4 roll surfaces between each point and rolled piece wants small and uniform, to mitigate the abrasion of rolled piece and flute profile roller.
5 rolls do not generate interference with rolled piece.
6 reduce force energy consumption.
7 roller curves simply in order to manufacture, reduce roll cost as possible.
Roll design is the basis for the technical process that molding has periodical rolled piece, its task is just to determine rational roller
Type curve makes rolled piece pass through molding passage, and formation surface is smooth, and meets the rolled piece of cyclic curve design requirement.
Roll shape is designed by the cyclic curve of institute's rolled piece, and ensures that the thickness of rolled piece after being molded is uniform.The roller of forming roller
Type curve directly affects the shape of the deformation of rolled piece and wave periodicity curve in forming process, the stability to forming process and production
The quality of product plays conclusive effect.
Invention content
The technical problem to be solved by the present invention is to a kind of designs of flute profile roller roller curve of the rolling with cyclic curve
Method, this method design roll shape by the cyclic curve of institute's rolled piece, thus can guarantee molding after rolled piece thickness it is uniform, improve at
The stability of type process and the quality of product.
In order to solve the above technical problems, the present invention uses following technological means：
The design method for rolling the flute profile roller roller curve with cyclic curve, comprises the steps of：(1) analysis rolling
The commonly relationship between plank roller curve and the surface curve of rolled piece, show that two curves are tangent relations；(2) coordinate is established
System, using the center of circle on roll as coordinate origin, using the line in the two roll centers of circle as Y-axis, by the roll center of circle and it is vertical with Y-axis simultaneously
The number axis for being directed toward right side is X-axis, establishes absolute coordinate system；Using the point on rolled piece center line as origin, X-axis and absolute coordinate system X
Axis is parallel and in the same direction, and on the line in the two roll centers of circle, Y direction is determined Y-axis by right-hand rule, establishes relative coordinate system；Phase
Point on coordinate system can be rotated around the coordinate origin of absolute coordinate system；(3) relative position relation for utilizing rolled piece and roll, is obtained
Obtain the equation in coordinates in relative coordinate system topping roll curve；(4) position relationship for utilizing relative coordinate system and absolute coordinate system,
The roller curve equation that relative coordinate is fastened is changed into the roller curve equation in absolute coordinate system.
The present invention utilize rolling exit, the tangent relation and roll of Roll Shape Curve and rolled piece surface curve and
The movement relation of rolled piece establishes the flute profile roller roll profile equation of rolled piece of the rolling with cyclic curve.Solving rolling has
The main problem of cyclic curve rolled piece.
Further optimal technical scheme is as follows：
The design method for rolling the flute profile roller roller curve with cyclic curve, comprises the steps of：
(1) in order to meet the requirement of stable rolling, point of the equidistant center line on Outlet Section is equidistant center line and two
The intersection point of roll line of centres；
(2) in order to roll out the corrugated rail waist for meeting shape need, the shapes of two equidistant curves of the web of the rail by the web of the rail with roll
When roller is disengaged from, i.e., the tangential direction of rolled piece and roll contact point determines on Outlet Section, because roll profile is bent at this time
Line puts tangent line having the same at this with rolled piece curve, i.e. two curves are tangent relations；
(3) to ensure that the thickness of rolled piece during the rolling process is consistent, i.e., normal direction is equidistant, then requiring the table of rolled piece
Surface curve is made of two equidistant curves, this two curve has a public equidistant center line, if the equation of equidistant center line is：Y=f
(x), then the equation of two equidistant curves is respectively：
Normal distance of the t-equidistant curve away from equidistant center line in formula；
Derivative of f ' (the x)-equidistant curves at (x, f (x)), i.e. tangent vector；
(4) in order to acquire roller curve according to the cyclic curve of rolled piece, following coordinate system is established：
Oxy is established on the equidistant center line of the web of the rail；o1Xy, o2Xy is linked together with two roll stiffnesses respectively, o1XY,
o2XY is two fixed coordinate systems, i.e. absolute coordinate system；
(5) two roll centres away from determination method it is as follows：The curve on rolled piece surface is cyclic curve, so there are one
Wavelength l predefines a number of teeth z, i.e. distribution number of the cyclic curve on roll, and the thickness for rolling rear rolled piece is c, then two
The centre-to-centre spacing a=lz+c of roll；
(6) it is designed since a particular point on equidistant center line, this point is the f ' (x on waviness curve0The point of)=0, this
Coordinate of the point in oxy coordinate systems be：
Oo at this time1And oo2Distance be respectively：
Two curves on roll are respectively g1、g2, coordinate of the corresponding points in coordinate system oxy be respectively：
The normal thickness of c-rolled piece in formula；
In g1On corresponding points in o1Coordinate in XY is：
In g2Upper corresponding points are in o2Coordinate in XY is：
Coordinate system o at this time1Xy and o1XY is overlapped, o2Xy and o2XY is overlapped,
Therefore：
(7) roller curve is designed since this particular point on corrugated rail waist curve, rotation can be used in any point thereon
Coordinate system o1Xy and o2The method of xy obtains；Know that the rotating speed of two rolls is identical from rolling condition, rotation direction is opposite；In order to design
Roller curve, can be coordinate system o1Xy, o2Xy turns over angle [alpha] and o respectively1XY, o2XY is overlapped；Correspond to equidistant center line at this time
The coordinate of upper point is：
Roller curve g1, g2Upper and equidistant curve point (xα,yα) equation of the corresponding points in coordinate system oxy be：
Wherein, β=arctan (f ' (xα))；
Roller curve g1Upper and equidistant curve point (xα,yα) corresponding points are in coordinate system o1Equation in xy is：
Roller curve g2Upper and equidistant curve point (xα,yα) corresponding points are in coordinate system o2Equation in xy is：
By coordinate system o1Xy and coordinate system o1The relationship of XY obtains roller curve g1Upper and equidistant curve point (xα,yα) corresponding points
In coordinate system o1Equation in XY is：
By coordinate system o2Xy and coordinate system o2The relationship of XY obtains roller curve g2Upper and equidistant curve point (xα,yα) corresponding points
In coordinate system o2Equation in XY is：
Or more flute profile roller roller curve g1Equation is：
So lower flute profile roller roller curve g2Equation is：
α=(0~360) is taken, entire roller curve equation can be obtained.
The design method for rolling the flute profile roller roller curve with cyclic curve, comprises the steps of：
First from the foundation of coordinate oxy it is found that the coordinate origin o of coordinate oxy is on the line of centres of two rolls, and o points are
For the point on equidistant curve center line；Secondly for coordinate system oxy, curve g is found out1And g2The derivative of upper point：
In curve g1On
In curve g2On
Obviously they are total to tangent line with web of the rail curve.
Description of the drawings
Fig. 1 is the schematic diagram that the surface curve of the rolled piece of the present invention is made of two equidistant curves.
Fig. 2 is the schematic diagram that the coordinate system that roller curve is established is acquired according to the cyclic curve of rolled piece.
Fig. 3 is the schematic diagram of the coordinate of any point on roller curve.
Specific implementation mode
With reference to embodiment, further illustrate the present invention.
Referring to Fig. 1-3 it is found that a kind of rolling of the present invention has the design side of the flute profile roller roller curve of cyclic curve
Method comprises the steps of：(1) analysis rolls the relationship between common plank roller curve and the surface curve of rolled piece, obtains two
Curve is tangent relation；(2) coordinate system is established, using the center of circle on roll as coordinate origin, the line with the two roll centers of circle is Y
Axis, by the roll center of circle and number axis that is vertical with Y-axis and being directed toward right side is X-axis, establishes absolute coordinate system；With on rolled piece center line
Point be origin, X-axis is parallel and in the same direction with absolute coordinate system X-axis, and for Y-axis on the line in the two roll centers of circle, Y direction presses the right hand
Rule determines, establishes relative coordinate system；The point that relative coordinate is fastened can be rotated around the coordinate origin of absolute coordinate system；(3) it utilizes
The relative position relation of rolled piece and roll obtains the equation in coordinates in relative coordinate system topping roll curve；(4) relative coordinate is utilized
The roller curve equation that relative coordinate is fastened, is changed into the roll in absolute coordinate system by the position relationship of system and absolute coordinate system
Curvilinear equation.
The design method for rolling the flute profile roller roller curve with cyclic curve, comprises the steps of：
(1) in order to meet the requirement of stable rolling, point of the equidistant center line on Outlet Section is equidistant center line and two
The intersection point of roll line of centres；
(2) in order to roll out the rolled piece with periodic dimple for meeting shape need, two equidistant curves of rolled piece are constituted
Shape when being disengaged from by rolled piece and roll, i.e., the tangential direction of rolled piece and roll contact point determines on Outlet Section, because
Tangent line having the same is put at this for Roll Shape Curve at this time and rolled piece curve, i.e. two curves are tangent relations；
(3) to ensure that the thickness of rolled piece during the rolling process is consistent, i.e., normal direction is equidistant, then requiring the table of rolled piece
Surface curve is made of two equidistant curves, this two curve has a public equidistant center line, if the equation of equidistant center line is：Y=f
(x), then the equation of two equidistant curves is respectively：
Normal distance of the t-equidistant curve away from equidistant center line in formula；
Derivative of f ' (the x)-equidistant curves at (x, f (x)), i.e. tangent vector；
(4) in order to acquire roller curve according to the cyclic curve of rolled piece, following coordinate system is established：
Oxy is established on the equidistant center line of rolled piece；o1Xy, o2Xy is linked together with two roll stiffnesses respectively, o1XY,
o2XY is two fixed coordinate systems, i.e. absolute coordinate system；
(5) two roll centres away from determination method it is as follows：The curve on rolled piece surface is cyclic curve, so there are one
Wavelength l predefines a number of teeth z, i.e. distribution number of the cyclic curve on roll, and the thickness for rolling rear rolled piece is c, then two
The centre-to-centre spacing a=lz+c of roll；
(6) it is designed since a particular point on equidistant center line, this point is the f ' (x on waviness curve0The point of)=0, this
Coordinate of the point in oxy coordinate systems be：
Oo at this time1And oo2Distance be respectively：
Two curves on roll are respectively g1、g2, coordinate of the corresponding points in coordinate system oxy be respectively：
The normal thickness of c-rolled piece in formula；
In g1On corresponding points in o1Coordinate in XY is：
In g2Upper corresponding points are in o2Coordinate in XY is：
Coordinate system o at this time1Xy and o1XY is overlapped, o2Xy and o2XY is overlapped,
Therefore：
(7) roller curve is designed since the waviness curve on rolled piece this particular point, any point, which can be used, thereon turns
Moving coordinate system o1Xy and o2The method of xy obtains；Know that the rotating speed of two rolls is identical from rolling condition, rotation direction is opposite；In order to set
Roller curve is counted, it can be coordinate system o1Xy, o2Xy turns over angle [alpha] and o respectively1XY, o2XY is overlapped；Correspond to equidistant center at this time
The coordinate put on line is：
Roller curve g1, g2Upper and equidistant curve point (xα,yα) equation of the corresponding points in coordinate system oxy be：
Wherein, β=arctan (f ' (xα))；
Roller curve g1Upper and equidistant curve point (xα,yα) corresponding points are in coordinate system o1Equation in xy is：
Roller curve g2Upper and equidistant curve point (xα,yα) corresponding points are in coordinate system o2Equation in xy is：
By coordinate system o1Xy and coordinate system o1The relationship of XY obtains roller curve g1Upper and equidistant curve point (xα,yα) corresponding points
In coordinate system o1Equation in XY is：
By coordinate system o2Xy and coordinate system o2The relationship of XY obtains roller curve g2Upper and equidistant curve point (xα,yα) corresponding points
In coordinate system o2Equation in XY is：
Or more flute profile roller roller curve g1Equation is：
So lower flute profile roller roller curve g2Equation is：
α=(0~360) is taken, entire roller curve equation can be obtained.
The design method for rolling the flute profile roller roller curve with cyclic curve, comprises the steps of：
First from the foundation of coordinate oxy it is found that the coordinate origin o of coordinate oxy is on the line of centres of two rolls, and o points are
For the point on equidistant curve center line；Secondly for coordinate system oxy, curve g is found out1And g2The derivative of upper point：
In curve g1On
In curve g2On
Obviously they are total to tangent line with web of the rail curve.
The present invention utilize rolling exit, the tangent relation and roll of Roll Shape Curve and rolled piece surface curve and
The movement relation of rolled piece establishes the flute profile roller roll profile equation of rolled piece of the rolling with cyclic curve.The method of the present invention is pressed
The cyclic curve of institute's rolled piece designs roll shape, therefore can guarantee that the thickness of rolled piece after molding is uniform, improves the stabilization of forming process
The quality of property and product.
Since the foregoing is merely the specific implementation modes of the present invention, but the protection of the present invention is without being limited thereto, any skill
The technical staff in art field it is contemplated that the equivalent variation or replacement of the technical program technical characteristic, all cover the present invention's
Within protection domain.
Claims (3)
1. rolling the design method of the flute profile roller roller curve with cyclic curve, which is characterized in that comprise the steps of：
(1) analysis rolls the relationship between common plank roller curve and the surface curve of rolled piece, show that two curves are tangent relations；
(2) coordinate system is established, using the center of circle on roll as coordinate origin, using the line in the two roll centers of circle as Y-axis, simultaneously by the roll center of circle
Number axis that is vertical with Y-axis and being directed toward right side is X-axis, establishes absolute coordinate system；Using the point on rolled piece center line as origin, X-axis with
Absolute coordinate system X-axis is parallel and in the same direction, and on the line in the two roll centers of circle, Y direction is determined Y-axis by right-hand rule, establishes phase
To coordinate system；The point that relative coordinate is fastened can be rotated around the coordinate origin of absolute coordinate system；(3) the opposite of rolled piece and roll is utilized
Position relationship obtains the equation in coordinates in relative coordinate system topping roll curve；(4) relative coordinate system and absolute coordinate system are utilized
Position relationship, the roller curve equation roller curve equation that relative coordinate is fastened being changed into absolute coordinate system.
2. the design method of flute profile roller roller curve of the rolling with cyclic curve according to claim 1, feature
It is, comprises the steps of：
(1) in order to meet the requirement of stable rolling, point of the equidistant center line on Outlet Section is equidistant center line and two rolls
The intersection point of line of centres；
(2) in order to roll out the ripple rolled piece for meeting shape need, the shape of two equidistant curves of rolled piece is taken off by rolled piece and roll
When from engagement, i.e., the tangential direction of rolled piece and roll contact point determines on Outlet Section because at this time Roll Shape Curve and
Rolled piece curve puts tangent line having the same at this, i.e. two curves are tangent relations；
(3) to ensure that the thickness of rolled piece during the rolling process is consistent, i.e., normal direction is equidistant, then requiring the surface of rolled piece bent
Line is made of two equidistant curves, this two curve has a public equidistant center line, if the equation of equidistant center line is：Y=f (x),
The equation of so two equidistant curves is respectively：
Normal distance of the t-equidistant curve away from equidistant center line in formula；
Derivative of f ' (the x)-equidistant curves at (x, f (x)), i.e. tangent vector；
(4) in order to acquire roller curve according to the cyclic curve for constituting rolled piece, following coordinate system is established：
Oxy is established on the equidistant center line of rolled piece；o1Xy, o2Xy is linked together with two roll stiffnesses respectively, o1XY, o2XY is
Two fixed coordinate systems, i.e. absolute coordinate system；
(5) two roll centres away from determination method it is as follows：The curve on rolled piece surface is cyclic curve, so there are a wavelength
L predefines a number of teeth z, i.e. distribution number of the cyclic curve on roll, and the thickness for rolling rear rolled piece is c, then two rolls
Centre-to-centre spacing a=lz+c；
(6) it is designed since a particular point on equidistant center line, this point is the f ' (x on waviness curve0The point of)=0, this point exist
Coordinate in oxy coordinate systems is：
Oo at this time1And oo2Distance be respectively：
Two curves on roll are respectively g1、g2, coordinate of the corresponding points in coordinate system oxy be respectively：
The normal thickness of c-rolled piece in formula；
In g1On corresponding points in o1Coordinate in XY is：
In g2Upper corresponding points are in o2Coordinate in XY is：
Coordinate system o at this time1Xy and o1XY is overlapped, o2Xy and o2XY is overlapped,
Therefore：
(7) roller curve is designed since this particular point on corrugated rail waist curve, rotational coordinates can be used in any point thereon
It is o1Xy and o2The method of xy obtains；Know that the rotating speed of two rolls is identical from rolling condition, rotation direction is opposite；In order to design roll shape
Curve, can be coordinate system o1Xy, o2Xy turns over angle [alpha] and o respectively1XY, o2XY is overlapped；Correspond to point on equidistant center line at this time
Coordinate be：
Roller curve g1, g2Upper and equidistant curve point (xα,yα) equation of the corresponding points in coordinate system oxy be：
Wherein, β=arctan (f ' (xα))；
Roller curve g1Upper and equidistant curve point (xα,yα) corresponding points are in coordinate system o1Equation in xy is：
Roller curve g2Upper and equidistant curve point (xα,yα) corresponding points are in coordinate system o2Equation in xy is：
By coordinate system o1Xy and coordinate system o1The relationship of XY obtains roller curve g1Upper and equidistant curve point (xα,yα) corresponding points are sitting
Mark system o1Equation in XY is：
By coordinate system o2Xy and coordinate system o2The relationship of XY obtains roller curve g2Upper and equidistant curve point (xα,yα) corresponding points are sitting
Mark system o2Equation in XY is：
Or more flute profile roller roller curve g1Equation is：
So lower flute profile roller roller curve g2Equation is：
α=(0~360) is taken, entire roller curve equation can be obtained.
3. the design method of flute profile roller roller curve of the rolling with cyclic curve according to claim 1, feature
It is, comprises the steps of：
First from the foundation of coordinate oxy it is found that the coordinate origin o of coordinate oxy is on the line of centres of two rolls, and o points are etc.
Away from the point on center of curve line；Secondly for coordinate system oxy, curve g is found out1And g2The derivative of upper point：
In curve g1On
In curve g2On
Obviously they are total to tangent line with web of the rail curve.
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| CN201810113361.5A CN108319787B (en) | 2018-02-05 | 2018-02-05 | Design method for rolling profile roller profile curve with periodic curve |
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| CN201810113361.5A CN108319787B (en) | 2018-02-05 | 2018-02-05 | Design method for rolling profile roller profile curve with periodic curve |
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| CN101062509A (en) * | 2006-04-29 | 2007-10-31 | 中国科学院金属研究所 | Roller parameter automatic calculating method for three-roller planetary rolling mill |
| CN101912886A (en) * | 2010-07-15 | 2010-12-15 | 首钢总公司 | Optimizing method for controlling side part to be thinned |
| CN104121350A (en) * | 2014-05-16 | 2014-10-29 | 清华大学 | Hypoid gear bending geometric coefficient setting method |
| WO2019186918A1 (en) * | 2018-03-29 | 2019-10-03 | ▲なら▼原裕 | Aircraft flight control method |
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2018
- 2018-02-05 CN CN201810113361.5A patent/CN108319787B/en active Active
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|---|---|---|---|---|
| CN101062509A (en) * | 2006-04-29 | 2007-10-31 | 中国科学院金属研究所 | Roller parameter automatic calculating method for three-roller planetary rolling mill |
| CN101912886A (en) * | 2010-07-15 | 2010-12-15 | 首钢总公司 | Optimizing method for controlling side part to be thinned |
| CN104121350A (en) * | 2014-05-16 | 2014-10-29 | 清华大学 | Hypoid gear bending geometric coefficient setting method |
| WO2019186918A1 (en) * | 2018-03-29 | 2019-10-03 | ▲なら▼原裕 | Aircraft flight control method |
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| 杨光: "螺杆压缩机阴转子轧制成形研究", 《中国博士学位论文全文数据库 工程科技I辑》 * |
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