CN109885972A - The deformation Division of cross-shear rolling strip and the calculation method of each subregion accounting - Google Patents
The deformation Division of cross-shear rolling strip and the calculation method of each subregion accounting Download PDFInfo
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Abstract
A kind of calculation method for deforming Division and each subregion accounting of cross-shear rolling strip, according to asymmetrical rolling deformed area configurations relevant parameter, asymmetrical rolling deformed area configurations division methods are reduced to six kinds of the area zone of slippage on the entry side+Cuo Zha+zone of slippage on the delivery side, the zone of slippage on the entry side area+Cuo Zha, the area Cuo Zha+zone of slippage on the delivery side, the area Quan Cuozha, full zone of slippage on the entry side and full zone of slippage on the delivery side;Deformed area shape according to asymmetrical rolling is approximately that isosceles trapezoid and ignoring is spreaded, and above-mentioned six kinds of configurations form the calculation method in each area of each self-forming, and calculation method of the invention is simple and clear, has more engineering application value.
Description
Technical field
The invention belongs to cross-shear rolling technical fields, deformation Division more particularly to a kind of cross-shear rolling strip and each
The calculation method of subregion accounting.
Background technique
Asymmetrical rolling refers to a kind of upper working rolls and lower working rolls linear velocity not equal milling method;It is asynchronous to roll compared to symmetric rolling
Deformed area processed is there are the area Cuo Zha, unit pressure peak value when can eliminate symmetric rolling, has draught pressure low, and it is strong etc. excellent to roll thin ability
Point has some advantages in cold rolled sheet, is particularly suitable for the production of strip in razor-thin.
Draught pressure distribution, friction when asymmetrical rolling deformed area configurations and each subregion accounting size are to asymmetrical rolling
Power distribution, the fast distribution of working roll roll torque at a slow speed and fast distribution of main motor current at a slow speed etc. have a significant impact, and the latter is not only
Reference frame is provided for rolling mill design and rolling mill practice formulation, it is strong also to directly affect percentage pass reduction, unilateral volume defect and texture
Degree etc., therefore be of great significance to the division of asymmetrical rolling deformed area configurations and the calculating of each subregion accounting.
When asymmetrical rolling deformed area configurations are asymmetrical rolling in deformed area different stress subregions combination form;
Asymmetrical rolling stress subregion includes zone of slippage on the delivery side, zone of slippage on the entry side and the area Cuo Zha, and asymmetrical rolling deformed area configurations are as advancing slip
Area, zone of slippage on the entry side and the area Cuo Zha combination form;Each subregion accounting size is different stress subregions in asymmetrical rolling deformed area
The percentage of floor projection length and contact arc length ratio.
It is not comprehensive to the division of asymmetrical rolling deformed area configurations at present, not accurate enough and partially complicated, each subregion accounting
Only have accounting calculating in the area Cuo Zha in calculating and formula is complicated, it is not very practical;This makes asymmetrical rolling pressure-plotting model, friction
Power distributed model, fast working roll roll torque distribution model at a slow speed and the fast complexity of main motor current distribution model etc. at a slow speed and precision
It is limited, constrain the design of asynchronous rolling machine and the optimization of asynchronous rolling process.
Summary of the invention
The object of the present invention is to provide a kind of cross-shear rolling strip deformation Division and each subregion accounting calculation method,
The associated datas such as the discrepancy speed of speed and rolled piece based on speed working roll side more comprehensively accurately draw to deformed area
Point, and each subregion accounting is accurately calculated, simplify calculating process, calculates subregion and have more practicability.
The deformation limited region dividing method of cross-shear rolling strip of the invention are as follows:
1, state is slided according to the front and back that asymmetrical rolling deformed area configurations depend on rapid operation roller side and worked at a slow speed
The sliding state in the front and back of roller side, i.e. asymmetrical rolling deformed area configurations and rolled piece entrance velocity vH, rolled piece muzzle velocity vh, at a slow speed
Working roll linear velocity vs, rapid operation roller linear velocity vf, working roll side neutral angle α at a slow speeds, rapid operation roller side neutral angle αfWith
Nip angle αlIt is related;
2, when slow roll side is there are zone of slippage on the entry side and zone of slippage on the delivery side, quick roll side is worked as there is also when zone of slippage on the entry side and zone of slippage on the delivery side
vscosαs>vHAnd vfcosαf<vhWhen, deformed area configurations are the area zone of slippage on the entry side+Cuo Zha+zone of slippage on the delivery side;After quick roll side is complete
Skating area, and v is worked as there are when zone of slippage on the entry side and zone of slippage on the delivery side in slow roll sidef≥vhAnd vH<vscosαs<vhWhen, asymmetrical rolling deformed area
Configurations are the area zone of slippage on the entry side+Cuo Zha;When slow roll side is full zone of slippage on the delivery side, and quick roll side is there are when zone of slippage on the entry side and zone of slippage on the delivery side,
Work as vscosαl≤vHAnd vH<vfcosαf<vhWhen, asymmetrical rolling deformed area configurations are the area Cuo Zha+zone of slippage on the delivery side;Work as quick roll
Side be full zone of slippage on the entry side, and slow roll side be full zone of slippage on the delivery side when, that is, work as vscosαl≤vHAnd vf≥vhWhen, asymmetrical rolling deforms district's groups
State form is the area Quan Cuozha;When slow roll side is full zone of slippage on the entry side, that is, work as vs≥vhWhen, asymmetrical rolling deformed area configurations are
Full zone of slippage on the entry side;When quick roll side is full zone of slippage on the delivery side, that is, work as vfcosαl≤vHWhen, before asymmetrical rolling deformed area configurations are complete
Skating area.
In the above method, when according to cold rolled sheet, reduction in pass is small, contact arc length relative to work roll diameter very
It is small, i.e. αs→ 0, αf→ 0, αl→ 0, so cos αs→ 1, cos αf→ 1, cos αl→1;Asymmetrical rolling deformed area configurations are drawn
Method is divided to simplify are as follows:
Work as vs>vHAnd vf<vhWhen, asymmetrical rolling deformed area configurations are the area zone of slippage on the entry side+Cuo Zha+zone of slippage on the delivery side;
Work as vf≥vhAnd vH<vs<vhWhen, asymmetrical rolling deformed area configurations are the area zone of slippage on the entry side+Cuo Zha;
Work as vs≤vHAnd vH<vf<vhWhen, asymmetrical rolling deformed area configurations are the area Cuo Zha+zone of slippage on the delivery side;
Work as vs≤vHAnd vf≥vhWhen, asymmetrical rolling deformed area configurations are the area Quan Cuozha;
Work as vs≥vhWhen, asymmetrical rolling deformed area configurations are full zone of slippage on the entry side;
Work as vf≤vHWhen, asymmetrical rolling deformed area configurations are full zone of slippage on the delivery side.
Each subregion accounting calculation method in asymmetrical rolling deformed area of the invention comprises the steps of:
1. being assumed with string for arc: when cross-shear rolling strip, roll-force is big, and absolute draft amount is small, and roll and rolled piece elasticity become
Shape is serious, and contact arc length is much smaller than roller radius, and contact arc can be approximately one section of straight line, i.e., with string for arc;Asymmetrical rolling at this time
Deformed area shape be an isosceles trapezoid;
2. setting zone of slippage on the entry side accounting as Ob, the area Cuo Zha accounting be OcIt is O with zone of slippage on the delivery side accountingf;By geometrical relationship, rolled when asynchronous
When deformed area configurations processed are the area zone of slippage on the entry side+Cuo Zha+zone of slippage on the delivery side,
When the deformed area configurations of asymmetrical rolling are the area zone of slippage on the entry side+Cuo Zha,
When the deformed area configurations of asymmetrical rolling are the area Cuo Zha+zone of slippage on the delivery side,
When the deformed area configurations of asymmetrical rolling are the area Quan Cuozha,
Ob=0 (10),
Oc=100% (11),
Of=0 (12);
When the deformed area configurations of asymmetrical rolling are full zone of slippage on the entry side,
Ob=100% (13),
Oc=0 (14),
Of=0 (15);
When the deformed area configurations of asymmetrical rolling are full zone of slippage on the delivery side,
Ob=0 (16),
Oc=0 (17),
Of=100% (18);
In formula (1)~(9): H is rolled piece inlet thickness, unit m;H is rolled piece exit thickness, unit m;hsIt is slow
Rolled piece thickness at the neutral surface of fast working roll, unit m;hfFor rolled piece thickness at the neutral surface of rapid operation roller, unit m;lb
For zone of slippage on the entry side floor projection length, unit m;lcFor the area Cuo Zha floor projection length, unit m;lfFor zone of slippage on the delivery side floor projection
Length, unit m;L is the contact arc length of rolled piece and working roll, unit m;
It is spreaded 3. cold rolled sheet is ignored, equal by second flow:
HvH=hsvscosαs=hfvfcosαf=hvh(19);
Because contact arc length is very small relative to work roll diameter, αs→ 0, αf→ 0, so cos αs→ 1, cos αf→ 1,
Then formula (19) simplifies are as follows:
HvH=hsvs=hfvf=hvh(20);
Bring formula (20) into formula (1)~(9), then when asymmetrical rolling deformed area configurations be the area zone of slippage on the entry side+Cuo Zha+
When zone of slippage on the delivery side,
When the deformed area configurations of asymmetrical rolling are the area zone of slippage on the entry side+Cuo Zha,
Of=0 (6 ');
When the deformed area configurations of asymmetrical rolling are the area Cuo Zha+zone of slippage on the delivery side,
Ob=0 (7 '),
Above-mentioned vH、vh、vsAnd vfUnit be m/min.
Cross-shear rolling strip deformed area configurations division methods in the present invention, the asymmetrical rolling deformed area configuration shape of description
Formula is more comprehensive, also more meets its definition, be distributed for the draught pressure distribution of calculating different distortion area configurations, frictional force,
The distribution of working roll roll torque and the fast distribution of main motor current at a slow speed etc. provide support at a slow speed fastly.
Cross-shear rolling strip deformed area configurations simplify division methods in the present invention, and the asymmetrical rolling of description deforms district's groups
State form is only related with working roll linear velocity at a slow speed with rolled piece entrance velocity, rolled piece muzzle velocity, rapid operation roller linear velocity, non-
It is often succinct, and aforementioned four speed parameter, convenient for measurement, this division methods has more engineering application value.
The deformed area configurations that each subregion accounting calculation method in cross-shear rolling strip deformed area considers in the present invention are more,
The area Cuo Zha accounting calculation method is not only gived, and gives zone of slippage on the entry side accounting and zone of slippage on the delivery side accounting calculation method, more
It is comprehensively and easy, have more engineering application value.
Calculation method according to the present invention provides premise in subsequent calculating asymmetrical rolling roll-force and roll torque etc.,
Calculating process can be significantly simplified, more accurate calculated result is obtained.
Detailed description of the invention
The rolling schematic diagram that Fig. 1 is deformed area configurations when being the area zone of slippage on the entry side+Cuo Zha+zone of slippage on the delivery side;
The rolling schematic diagram that Fig. 2 is deformed area configurations when being the zone of slippage on the entry side area+Cuo Zha;
The rolling schematic diagram that Fig. 3 is deformed area configurations when being the area Cuo Zha+zone of slippage on the delivery side;
The speed schematic diagram that Fig. 4 is deformed area configurations when being the area zone of slippage on the entry side+Cuo Zha+zone of slippage on the delivery side;
The speed schematic diagram that Fig. 5 is deformed area configurations when being the zone of slippage on the entry side area+Cuo Zha;
The speed schematic diagram that Fig. 6 is deformed area configurations when being the area Cuo Zha+zone of slippage on the delivery side;
The speed schematic diagram that Fig. 7 is deformed area configurations when being the area Quan Cuozha;
The speed schematic diagram that Fig. 8 is deformed area configurations when being full zone of slippage on the entry side;
The speed schematic diagram that Fig. 9 is deformed area configurations when being full zone of slippage on the delivery side;
The contact in rolling schematic diagram that Figure 10 is deformed area configurations when being the area zone of slippage on the entry side+Cuo Zha+zone of slippage on the delivery side;
The contact in rolling schematic diagram that Figure 11 is deformed area configurations when being the zone of slippage on the entry side area+Cuo Zha;
The contact in rolling schematic diagram that Figure 12 is deformed area configurations when being the area Cuo Zha+zone of slippage on the delivery side.
In figure, H, rolled piece inlet thickness, h, rolled piece exit thickness, vH, rolled piece entrance velocity, vh, rolled piece muzzle velocity, vf、
Rapid operation roller linear velocity, vs, working roll linear velocity at a slow speed, αf, rapid operation roller side neutral angle, αs, at a slow speed working roll side it is neutral
Angle, αl, nip angle, hs, rolled piece thickness at working roll neutral surface at a slow speed, hf, rolled piece thickness at rapid operation roller neutral surface, lb, after
Skating area floor projection length, lc, the area Cuo Zha floor projection length, lf, zone of slippage on the delivery side floor projection length, l, contact arc length, ABCD,
Contact in rolling, the white filling region in arrow plot (the speed schematic diagrames of Fig. 4~9) are speed model of the rolled piece in deformed area
Enclose (vh-vH), the oblique line filling region in arrow plot is fast working roll linear velocity horizontal component range (v at a slow speedscosαl-vf)。
Specific embodiment
Below by specific embodiment, the present invention is described further.
In asymmetrical rolling deformed area configurations of the invention, deformed area configurations are the area zone of slippage on the entry side+Cuo Zha+zone of slippage on the delivery side
When, schematic diagram is rolled as shown in Figure 1, speed schematic diagram is as shown in figure 4, deformation plot structure is as shown in Figure 10;Deformed area configuration shape
When formula is the area zone of slippage on the entry side+Cuo Zha, schematic diagram is rolled as shown in Fig. 2, speed schematic diagram is as shown in figure 5, deformation plot structure such as Figure 11
It is shown;Deformed area configurations be the area Cuo Zha+zone of slippage on the delivery side when, rolling schematic diagram as shown in figure 3, speed schematic diagram as shown in fig. 6,
It is as shown in figure 12 to deform plot structure;When deformed area configurations are the area Quan Cuozha, speed schematic diagram is as shown in fig. 7, deformation district's groups
When state form is full zone of slippage on the entry side, speed schematic diagram is as shown in Figure 8;When deformed area configurations are full zone of slippage on the delivery side, speed schematic diagram
As shown in Figure 9.
In the embodiment of the present invention, each subregion accounting obtained according to calculated result is for calculating asymmetrical rolling roll-force and rolling
Torque processed.
Embodiment 1
Using certain 4 roller reversable cold-rolling machine of factory, mill drive mode is upper working rolls and lower working rolls driven separately, upper working rolls and lower working rolls revolving speed
It is online independently adjustable, the on-line control of friction speed ratio can be realized;Encoder is installed after upper and lower main driving motor, by acquisition
The lower real-time revolving speed of main motor can calculate upper working rolls and lower working rolls linear velocity in conjunction with main gear reducer reduction ratio and upper working rolls and lower working rolls diameter;
It is mounted with that slewing rollers, left and right turn roller transmission side are equipped with encoder on rolling mill technology platform, can measure rolled piece entrance speed and goes out
Mouth speed;Milling train uses Electro-pressing mode, depresses and installs force sensor, on-line measurement roll-force under lead screw;Milling train is using friendship
Flow transducer drive main driving motor and left and right reel-motor up and down, revolving speed, electric current, torque and power of real-time measurement motor etc.
Parameter;Milling train has the man-machine interface of WinCC software configuration, real-time display is rolled in man-machine interface equipped with industrial personal computer on industrial personal computer
Part inlet thickness, rolled piece exit thickness, top working roll linear velocity, bottom working roll linear velocity, roll-force, left coil diameter, right volume are straight
Diameter, Zuo Zhangli, right tension and friction speed ratio are saved by filing variable and database;
Experiment condition: top working roll diameter Ru=89.33mm, bottom working roll diameter Rd=89.25mm, top working roll are fast
Fast working roll, bottom working roll are working roll at a slow speed;Rolled piece is 201 stainless steels, and annealed state, with a thickness of 0.650mm, width is
101.0mm, volume weight are 80.0kg;Lubricating system is rolling oil lubrication;
Experimental data: rapid operation roller linear velocity vf=65.7m/min;Working roll linear velocity v at a slow speeds=53.4m/min;
Roll-force P=364kN;Forward pull Ff=6.1kN;Backward pull Fb=5.9kN;Rolled piece inlet thickness H=0.650mm;Rolled piece outlet
Thickness h=0.370mm;Rolled piece entrance velocity vH=33.1m/min;Rolled piece muzzle velocity vh=58.0m/min.
Calculating process:
Contact arc length l=3.54mm, nip angle are calculated to obtain by upper working rolls and lower working rolls diameter, rolled piece inlet thickness and exit thickness
αl=0.079rad, cos αl=0.997;
By upper working rolls and lower working rolls diameter, rolled piece inlet thickness, rolled piece exit thickness, rolled piece entrance velocity, rolled piece muzzle velocity
Working roll linear velocity calculates to obtain slow roll neutral angle α at a slow speeds=0.015rad, cos αs≈1.0。
So:
vH=33.1m/min
vh=58.0m/min
vf=65.7m/min
vs=53.4m/min
vscosαs=53.4m/min
Cause are as follows: vf≥vhAnd vH<vscosαs<vh, so the passes deformed area configurations are as follows: zone of slippage on the entry side+stranding is rolled
Area;
Each subregion accounting is calculated according to formula (4 ')~(6 ') at this time are as follows:
Of=0.
Claims (4)
1. a kind of deformation limited region dividing method of cross-shear rolling strip, it is characterised in that sequentially include the following steps:
(1) the sliding state in the front and back for depending on rapid operation roller side according to asymmetrical rolling deformed area configurations and at a slow speed working roll side
The sliding state in front and back, i.e. asymmetrical rolling deformed area configurations and rolled piece entrance velocity vH, rolled piece muzzle velocity vh, at a slow speed work
Roller linear velocity vs, rapid operation roller linear velocity vf, working roll side neutral angle α at a slow speeds, rapid operation roller side neutral angle αfWith bite
Angle αlIt is related;
(2) when slow roll side is there are zone of slippage on the entry side and zone of slippage on the delivery side, v is worked as there is also when zone of slippage on the entry side and zone of slippage on the delivery side in quick roll sidescosαs
>vHAnd vfcosαf<vhWhen, deformed area configurations are the area zone of slippage on the entry side+Cuo Zha+zone of slippage on the delivery side;When quick roll side be full zone of slippage on the entry side, and
Work as v there are when zone of slippage on the entry side and zone of slippage on the delivery side in slow roll sidef≥vhAnd vH<vscosαs<vhWhen, asymmetrical rolling deformed area configurations
For the zone of slippage on the entry side area+Cuo Zha;When slow roll side is full zone of slippage on the delivery side, and v is worked as there are when zone of slippage on the entry side and zone of slippage on the delivery side in quick roll sidescos
αl≤vHAnd vH<vfcosαf<vhWhen, asymmetrical rolling deformed area configurations are the area Cuo Zha+zone of slippage on the delivery side;After quick roll side is complete
Skating area, and slow roll side be full zone of slippage on the delivery side when, that is, work as vscosαl≤vHAnd vf≥vhWhen, asymmetrical rolling deformed area configurations are
The area Quan Cuozha;When slow roll side is full zone of slippage on the entry side, that is, work as vs≥vhWhen, asymmetrical rolling deformed area configurations are full zone of slippage on the entry side;
When quick roll side is full zone of slippage on the delivery side, that is, work as vfcosαl≤vHWhen, asymmetrical rolling deformed area configurations are full zone of slippage on the delivery side.
2. a kind of deformation limited region dividing method of cross-shear rolling strip according to claim 1, it is characterised in that according to cold rolling
When strip, reduction in pass is small, and contact arc length is very small relative to work roll diameter, i.e. αs→ 0, αf→ 0, αl→ 0, so cos
αs→ 1, cos αf→ 1, cos αl→1;Asymmetrical rolling deformed area configurations division methods simplify are as follows:
Work as vs>vHAnd vf<vhWhen, asymmetrical rolling deformed area configurations are the area zone of slippage on the entry side+Cuo Zha+zone of slippage on the delivery side;
Work as vf≥vhAnd vH<vs<vhWhen, asymmetrical rolling deformed area configurations are the area zone of slippage on the entry side+Cuo Zha;
Work as vs≤vHAnd vH<vf<vhWhen, asymmetrical rolling deformed area configurations are the area Cuo Zha+zone of slippage on the delivery side;
Work as vs≤vHAnd vf≥vhWhen, asymmetrical rolling deformed area configurations are the area Quan Cuozha;
Work as vs≥vhWhen, asymmetrical rolling deformed area configurations are full zone of slippage on the entry side;
Work as vf≤vHWhen, asymmetrical rolling deformed area configurations are full zone of slippage on the delivery side.
3. a kind of each subregion accounting calculation method in asymmetrical rolling deformed area, it is characterised in that comprise the steps of:
1. being assumed with string for arc: when cross-shear rolling strip, roll-force is big, and absolute draft amount is small, and roll and rolled piece flexible deformation are tight
Weight, contact arc length are much smaller than roller radius, and contact arc can be approximately one section of straight line, i.e., with string for arc;The change of asymmetrical rolling at this time
Shape area shape is an isosceles trapezoid;
2. setting zone of slippage on the entry side accounting as Ob, the area Cuo Zha accounting be OcIt is O with zone of slippage on the delivery side accountingf;By geometrical relationship, when asymmetrical rolling becomes
When shape area configurations are the area zone of slippage on the entry side+Cuo Zha+zone of slippage on the delivery side,
When the deformed area configurations of asymmetrical rolling are the area zone of slippage on the entry side+Cuo Zha,
When the deformed area configurations of asymmetrical rolling are the area Cuo Zha+zone of slippage on the delivery side,
When the deformed area configurations of asymmetrical rolling are the area Quan Cuozha,
Ob=0 (10),
Oc=100% (11),
Of=0 (12);
When the deformed area configurations of asymmetrical rolling are full zone of slippage on the entry side,
Ob=100% (13),
Oc=0 (14),
Of=0 (15);
When the deformed area configurations of asymmetrical rolling are full zone of slippage on the delivery side,
Ob=0 (16),
Oc=0 (17),
Of=100% (18);
In formula (1)~(9): H is rolled piece inlet thickness, unit m;H is rolled piece exit thickness, unit m;hsFor work at a slow speed
Make rolled piece thickness at the neutral surface of roller, unit m;hfFor rolled piece thickness at the neutral surface of rapid operation roller, unit m;lbIt is rear
Skating area floor projection length, unit m;lcFor the area Cuo Zha floor projection length, unit m;lfFor zone of slippage on the delivery side extent of horizontal projection
Degree, unit m;L is the contact arc length of rolled piece and working roll, unit m;
It is spreaded 3. cold rolled sheet is ignored, equal by second flow:
HvH=hsvscosαs=hfvfcosαf=hvh(19);
Because contact arc length is very small relative to work roll diameter, αs→ 0, αf→ 0, so cos αs→ 1, cos αf→ 1, then formula
(19) simplify are as follows:
HvH=hsvs=hfvf=hvh(20);
Bring formula (20) into formula (1)~(9), then when asymmetrical rolling deformed area configurations are the area zone of slippage on the entry side+Cuo Zha+advancing slip
Qu Shi,
When the deformed area configurations of asymmetrical rolling are the area zone of slippage on the entry side+Cuo Zha,
Of=0 (6 ');
When the deformed area configurations of asymmetrical rolling are the area Cuo Zha+zone of slippage on the delivery side,
Ob=0 (7 '),
4. each subregion accounting calculation method in asymmetrical rolling deformed area according to claim 3, it is characterised in that the vH、
vh、vsAnd vfUnit be m/min.
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CN112974521A (en) * | 2021-02-08 | 2021-06-18 | 太原科技大学 | Method for solving curvature of aluminum alloy thick plate under same-speed reducing snake-shaped rolling |
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CN106964654A (en) * | 2016-11-07 | 2017-07-21 | 南阳师范学院 | A kind of modeling and simulation method for solving roll-force |
CN108268714A (en) * | 2018-01-18 | 2018-07-10 | 太原科技大学 | A kind of steel plate is the same as the computational methods of the snakelike Calculating Rolling Force Energy Parameters of diameter friction speed |
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JP2009271806A (en) * | 2008-05-09 | 2009-11-19 | Phifit Kk | Finite element analysis method, plastic working simulator and recording medium |
CN106964654A (en) * | 2016-11-07 | 2017-07-21 | 南阳师范学院 | A kind of modeling and simulation method for solving roll-force |
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