CN112052610B - Method for calculating tension and wrap angle setting of whole-roll type plate shape detection roll - Google Patents

Method for calculating tension and wrap angle setting of whole-roll type plate shape detection roll Download PDF

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CN112052610B
CN112052610B CN202010859459.2A CN202010859459A CN112052610B CN 112052610 B CN112052610 B CN 112052610B CN 202010859459 A CN202010859459 A CN 202010859459A CN 112052610 B CN112052610 B CN 112052610B
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于华鑫
张桐源
徐德昊
汪永梅
刘宏民
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Abstract

The invention relates to the technical field of cold-rolled strip shape detection, in particular to a method for calculating tension and wrap angle setting of a whole-roll type shape detection roll, which comprises the following steps: s1, establishing an x-y Cartesian reference coordinate system; s2, setting the radius R of the plate shape detection roller1The size of the angle 2 theta of the plate-shaped roller and the strip coating plate1Calculating to obtain the angle 2 theta meeting the current wrap angle1Radius R of the driving roller2(ii) a S3, setting the tension T of the strip material and the elastic modulus E of the strip material; a strip width B; the thickness h of the strip is calculated to correspond to the current wrap angle 2 theta1And an applied load F of the strip tension T acting on the axis of the drive roll; s4, according to the calculated parameters and the calculated radius R of the driving roller2And applying a load F to set up a test platform or a simulation model for testing. The invention can accurately and quickly calculate the tension and wrap angle of the plate-shaped roller.

Description

Method for calculating tension and wrap angle setting of whole-roll type plate shape detection roll
Technical Field
The invention relates to the technical field of cold-rolled strip shape detection, in particular to a method for calculating tension and wrap angle setting of a whole-roll type shape detection roll.
Background
The cold-rolled strip has the remarkable advantages of high performance and high precision, is widely applied to industrial manufacturing departments such as automobiles, household appliances, buildings, electronics and the like, belongs to a high value-added product, and the production technical level of the cold-rolled strip represents the level of the national steel industry, is an important characteristic of the steel strong country and is an important mark of the national industrialization level. The shape of the strip is an important quality index of the cold-rolled strip, and the poor shape of the strip not only causes difficulty in the rear process, but also causes accidents such as roller tightening, strip breakage and the like, and even damages the rolling mill in serious cases.
At present, the steel productivity in China is excessive, technical transformation is generally carried out in the domestic steel industry, even if enterprises with high plate shape quality are not pursued, more and more instruments or equipment for precise detection and control are gradually introduced for improving the production efficiency, reducing the labor cost and improving the automation level, and the reliable performance of the plate-shaped instrument is widely applied to one of auxiliary production equipment.
The plate shape detection roller is a core detection device of a plate shape instrument, is customized according to different rolling mill models, and has basically the same detection principle: and reversely pushing the tensile stress according to the radial force borne by each detection channel during the rolling with the tension so as to obtain the plate shape distribution of each channel. The whole-roller type plate shape detection roller is more special than other detection rollers, and mainly aims to ensure that no gap exists between detection units (the strip materials are prevented from being scratched during detection) and the detection is carried out in a new structural mode of installing a sensor through an axial through hole, so that the plate shape signal output by the sensor in the detection unit is different from the traditional plate shape signal. The more detailed research on the generation mechanism and the using method of the plate shape signal becomes an important research direction for improving the detection precision of the whole-roll plate shape meter at present, and the strip tension and the angle of a strip coating detection roll are found to be two important factors influencing the plate shape signal in production and test, so that a method for adjusting or setting the tension and the angle of coating of the whole-roll plate shape meter is urgently needed for detection.
Disclosure of Invention
The invention aims to solve the problem that detection signals of the tension of a strip and the shape of a strip coating are different in a whole-roller type shape detection roller, and the inventor provides a method for calculating the tension and wrap angle setting of the whole-roller type shape detection roller.
Aiming at the technical defects, the invention provides the following technical scheme:
a method for calculating tension and wrap angle setting of a whole-roll type plate shape detection roll comprises the following steps:
s1, establishing an x-y Cartesian reference coordinate system, and selecting four points as the initial axle center positions of all rollers in a four-roller structure;
s2, setting the radius R of the plate shape detection roller1The angle of the strip cladding plate-shaped roller is 2 theta1Calculating to obtain the angle 2 theta meeting the current wrap angle1Radius R of the driving roller2；
S3, setting the tension T of the strip material and the elastic modulus E of the strip material; a strip width B; the thickness h of the strip is calculated to correspond to the current wrap angle 2 theta1And an applied load F of the strip tension T acting on the axis of the drive roll;
s4, according to the calculated parameters and the calculated radius R of the driving roller2And applying a load F to set up a test platform or a simulation model for testing.
The technical scheme of the invention is further improved in that S1, four-point coordinates are selected to be a four-roller structure respectively, and each roller structure is two driving rollers O1(x10) and O2(-x10), a plate shape detecting roller O3(0,y1) A drive roll O4(0,y2) In which O is1、O2Is the axis coordinate of the two driving rollers, O3For detecting the coordinate of the axis of the roll in the form of a plate, O4The radius of two driving rollers is the same as that of the driving roller for the axis coordinate of the driving roller, and the strip is coated with a four-roller structure, in addition, O1，O2，O3Fixed in position, O4The corresponding drive roll is movable under load.
The technical scheme of the invention is further improved in that the S2 comprises the following steps:
s2.1, assuming with O3(0,y1) Plate-shape detecting roll with axis and O2(-x10) the common tangent line of the driving roller with the axis at the strip coating side is a straight line l, y equals kx + b, and k equals tan theta1；
S2.2, using O3The distance from point to line l is the radius of the plate-shaped detection roller
Figure GDA0003591672560000021
The constant term b is obtained by using the following calculation formula:
Figure GDA0003591672560000031
s2.3, obtaining a straight line equation I, and adopting the following calculation formula:
Figure GDA0003591672560000032
s2.4, from O2The distance l from the straight line is the radius of the driving roller, and the following calculation formula is adopted:
Figure GDA0003591672560000033
the technical scheme of the invention is further improved in that the S3 comprises the following steps:
s3.1, assuming the strip is coated with O2The angle of the driving roller being the axis divided by the x-axis into theta2And theta3Two parts of which theta2Corresponding to a portion above the x-axis, θ3Corresponding to the part below the x-axis and assuming that the wrap angle of the driving roll is 2 theta4The following calculation formula is adopted:
Figure GDA0003591672560000034
θ3＝arctan(x1/y2)；
θ4＝arctan(y2/x1)；
calculating the length L of the initial strip by adopting the following calculation formula:
Figure GDA0003591672560000035
s3.2. since σ ═ E,
Figure GDA0003591672560000036
wherein
Figure GDA0003591672560000037
The value of the stress to which the strip is subjected,
Figure GDA0003591672560000038
for the strain value, Δ L is the elongation of the loaded strip, using the following calculation:
Figure GDA0003591672560000039
s3.3, determining theta after loading according to the geometric relation4The following calculation formula is adopted:
Figure GDA00035916725600000310
s3.4, finally obtaining F by the derivation, and adopting the following calculation formula:
Figure GDA0003591672560000041
compared with the prior art, the method for calculating the tension and wrap angle setting of the whole-roller type plate shape detection roller has the following beneficial effects:
1. the invention provides a method for calculating tension and wrap angle setting of a whole-roll type plate shape detection roll.
2. The invention provides a method for calculating tension and wrap angle setting of a whole-roller type plate shape detection roller, which improves the design and building efficiency of a test platform, improves the design and building efficiency of a test simulation model, and saves the cost of manpower and material resources.
Drawings
FIG. 1 is a flow chart of a method of calculating tension and wrap angle settings for a full roll profile gauge roll in accordance with the present invention;
FIG. 2 is a schematic diagram of a four-roll configuration of a method for calculating tension and wrap angle settings of a full roll profile gauge roll according to the present invention;
FIG. 3 is a schematic diagram of the position of the drive roll before and after loading and the strip tension in a calculation method for the tension and wrap angle setting of the full roll type plate shape detection roll according to the present invention;
FIG. 4 is a schematic diagram of a strip shape roll output curve obtained from a set of test data under constant tension and variable wrap angle for a calculation method for setting the tension and wrap angle of a full roll type strip shape detection roll according to the present invention;
FIG. 5 is a schematic diagram of a strip shape roll output curve obtained from a set of test data under constant wrap angle and variable tension for a method of calculating tension and wrap angle settings for a full roll strip shape inspection roll according to the present invention.
Detailed Description
The technical solution of the present invention will be clearly and completely described by the following detailed description. It is to be understood that the described embodiments are merely exemplary of the invention, and not restrictive of the full scope of the invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
As shown in fig. 1, the method for calculating the tension and wrap angle setting of the full-roll type plate shape detection roll comprises the following steps:
s1, establishing an x-y Cartesian reference coordinate system, and selecting four points as the initial axle center positions of all rollers in a four-roller structure;
preferably, in S1, four-point coordinates are selected as a four-roll structure, the strip material is wrapped by the four-roll structure, and each roll structure is a plate shape detection roll O3(0,400) a drive roll O4(0, -800) and two driving rollers O1(800,0) and O2(-800,0) the radius of the two driving rolls is the same as the radius of the driving roll, where O1、O2Is the axis coordinate of the two driving rollers, O3As coordinates of the axes of the plate-shaped rollers, O4Is the axis coordinate of the driving roll, wherein O1，O2，O3Fixed in position, O4The corresponding driving roller is loaded and movable; as shown in fig. 2;
s2, setting the radius R of the plate shape detection roller1Calculating to obtain the radius R of the transmission roller meeting the current wrap angle of 10 degrees when the radius R is 156.5mm and the angle of the strip cladding plate-shaped roller is 10 degrees2；
Preferably, the step S2 includes the following steps:
s2.1, assuming the form of O3(0,400) plate shape detecting roller with axial center and O2The common tangent line of the driving roller with the axis (800,0) as the shaft center on the coating side of the strip is a straight line l, y is kx + b, and k is tan theta10.0875; wherein theta is1Half the roll value of the expected strip cladding plate;
s2.2, using O3The distance from point to line l is the radius of the plate-shaped detection roller
Figure GDA0003591672560000051
The constant term b is obtained by using the following calculation formula:
Figure GDA0003591672560000052
s2.3, obtaining a straight line l equation, and adopting the following calculation formula:
Figure GDA0003591672560000053
s2.4, from O2The distance l from the straight line is the radius of the driving roller, and the following calculation formula is adopted:
Figure GDA0003591672560000061
s3, setting the tape tension T1000N and the tape elastic modulus E206 Gpa; the width B of the strip is 26 mm; the thickness h of the strip is 1mm, and the corresponding current wrap angle 2 theta is calculated1An applied load F acting on the axis of the drive roll of 10 ° and a strip tension T of 1000N;
preferably, the S3 includes the following steps:
s3.1, assuming the strip is coated with O2The angle of the driving roller is taken as the x axisIs divided into theta2And theta3Two parts of which theta2Corresponding to portions above the x-axis, θ3Corresponding to the part below the x-axis and assuming that the wrap angle of the driving roll is 2 theta4The following calculation formula is adopted:
Figure GDA0003591672560000062
θ3＝arctan(x1/y2)＝0.25π；
θ4＝arctan(y2/x1)＝0.25π；
calculating the length L of the initial strip by adopting the following calculation formula:
Figure GDA0003591672560000063
s3.2. since σ ═ E,
Figure GDA0003591672560000064
wherein
Figure GDA0003591672560000065
The value of the stress to which the strip is subjected,
Figure GDA0003591672560000066
is a strain value. Δ L is the elongation of the loaded strip, and the positions before and after loading of the drive roll and the strip tension are shown in fig. 3; obtaining:
Figure GDA0003591672560000067
s3.3, determining theta after loading according to the geometric relation4The following calculation formula is adopted:
Figure GDA0003591672560000068
s3.4, finally obtaining F by the derivation, and adopting the following calculation formula:
Figure GDA0003591672560000069
s4, calculating the radius R of the driving roller according to the calculated parameters2And applying a load F to set up a test platform or a simulation model for testing. The following data were used:
radius R of plate roll1＝156.5mm，x1＝y1＝y2800mm, belt modulus of elasticity E206 Gpa; the width B of the strip is 26 mm; the strip thickness h is 1 mm. The tension and wrap angle are valued according to the following two schemes:
1. the fixed tension is T1000N, and the wrap angle is changed to 2 theta1＝24°2θ1＝28°……2θ1The test was carried out at 40 °.
2 fixed wrap angles are respectively 2 theta1The test was carried out with a tension T500N, 1000N, 1500N, 2000N, 2500N, unchanged at 30 °.
The radius R of the driving roller obtained by the two groups of schemes2And the tensile force F are shown in tables 1 and 2 below;
wrap angle/° R2/mm F/N
24 381.93 1414.93
28 351.58 1414.91
32 320.99 1414.89
36 290.21 1414.87
40 259.26 1414.85
TABLE 1 data obtained by varying the wrap angle with a fixed tension of 1000N
tension/N R2/mm F/N
500 336.32 707.28
1000 336.32 1414.9
1500 336.32 2122.87
2000 336.32 2831.18
2500 336.32 3539.84
TABLE 2 data obtained by fixing the wrap angle at 30 DEG and varying the tension
Based on the two groups of data, the output stress curve of the sensor of the full-roll type profilometer obtained by a finite element method is shown in figures 4 and 5; the two groups of curves truly restore the stress of the plate shape instrument sensor with the axial through hole, and the effectiveness of the method is verified.
The above-mentioned embodiments are merely illustrative of the preferred embodiments of the present invention, and do not limit the scope of the present invention, and various modifications and improvements of the technical solution of the present invention by those skilled in the art should fall within the protection scope defined by the claims of the present invention without departing from the spirit of the present invention.

Claims (3)

1. A method for calculating tension and wrap angle setting of a whole-roll type plate shape detection roll is characterized by comprising the following steps:
s1, establishing an x-y Cartesian reference coordinate system, and selecting four points as the initial axle center positions of all rollers in a four-roller structure; the four-roller structure comprises two driving rollers O1(x10) and O2(-x10), a plate shape detecting roller O3(0,y1) A drive roll O4(0,y2) In which O is1、O2Is the axis coordinate of the two driving rollers, O3For detecting the coordinate of the axis of the roll in the form of a plate, O4The axis coordinate of the driving roller is adopted, the radius of the two driving rollers is the same as that of the driving roller, and the strip is coated with a four-roller structure;
s2, setting the radius R of the plate shape detection roller1Shape inspection of clad stripMeasuring roller angle 2 theta1Calculating to obtain the angle 2 theta meeting the current wrap angle1Radius R of the driving roller2；
S3, setting the tension T of the strip material and the elastic modulus E of the strip material; a strip width B; the thickness h of the strip is calculated to correspond to the current wrap angle 2 theta1And an applied load F of the strip tension T acting on the axis of the drive roll;
s4, according to the calculated parameters and the calculated radius R of the driving roller2And applying a load F to set up a test platform or a simulation model for testing, wherein the test comprises the following steps:
1) when the tension is fixed, the wrap angle is changed for testing;
2) when the wrap angle was fixed, the tension was varied for the test.
2. The method for calculating tension and wrap angle settings of a full roll type strip shape inspection roll according to claim 1, wherein: the S2 includes the following steps:
s2.1, assuming the form of O3(0,y1) Shape detection roller with axis and O2(-x10) the common tangent line of the driving roller with the axis at the strip coating side is a straight line l, y is kx + b, and the slope k is tan theta1；
S2.2, using O3The distance formula from the point to the straight line l is the radius of the plate-shaped detection roller
Figure FDA0003591672550000011
And (3) obtaining a constant term b, wherein the calculation formula is as follows:
Figure FDA0003591672550000012
s2.3, obtaining a straight line equation I, wherein the calculation formula is as follows:
Figure FDA0003591672550000021
s2.4, from O2Distance to line l being transmissionRoll radius, the calculation formula is as follows:
Figure FDA0003591672550000022
3. the method for calculating tension and wrap angle settings of a full roll type strip shape inspection roll according to claim 1, wherein: the S3 includes the following steps:
s3.1, assuming the strip is coated with O2The angle of the driving roller being the axis divided by the x-axis into theta2And theta3Two parts of which theta2Corresponding to portions above the x-axis, θ3Corresponding to the part below the x-axis and assuming that the wrap angle of the driving roll is 2 theta4(ii) a The following calculation formula is adopted:
Figure FDA0003591672550000023
θ3＝arctan(x1/y2)；
θ4＝arctan(y2/x1)；
calculating the length L of the initial strip by adopting the following calculation formula:
Figure FDA0003591672550000024
s3.2, since σ ═ E ε, where
Figure FDA0003591672550000025
The value of the stress to which the strip is subjected,
Figure FDA0003591672550000026
for the strain value, Δ L is the elongation of the loaded strip, using the following calculation:
Figure FDA0003591672550000027
s3.3, determining theta after loading according to the geometric relation4The following calculation formula is adopted:
Figure FDA0003591672550000028
and S3.4, finally obtaining the applied load F acting on the axis of the driving roll by the derivation, and adopting the following calculation formula:
Figure FDA0003591672550000031
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