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

Abstract

The invention relates to the technical field of cold-rolled strip shape detection, in particular, to a method for calculating the tension and wrap angle setting of a full-roll type shape detection roll, comprising the following steps: S1, establishing an x-y Cartesian reference Coordinate system; S2, given the radius R ₁ of the plate shape detection roller and the angle 2θ ₁ of the strip-covered plate roller, the radius R ₂ of the drive roller that satisfies the current wrap angle 2θ ₁ is calculated; S3, the given strip tension T , the elastic modulus E of the strip; the width _of the strip B; The calculated transmission roller radius R ₂ and the applied load F are used to build a test platform or a simulation model for testing. The invention calculates the tension and wrap angle of the plate roll accurately and quickly.

Description

A calculation method for the setting of roller tension and wrap angle for the whole-roll flatness detection

technical field

The invention relates to the technical field of cold-rolled strip shape detection, in particular, to a calculation method for the setting of roll tension and wrap angle for whole-roll type shape detection rolls.

Background technique

Cold-rolled strips are widely used in industrial manufacturing sectors such as automobiles, home appliances, construction and electronics due to their remarkable advantages of high performance and high precision. They are high value-added products. It is also an important symbol of the country's industrialization level. Flatness is an important quality indicator for cold-rolled strips. Poor flatness will not only cause difficulties in the subsequent processes, but also lead to accidents such as roll strangulation and strip breakage, and even damage to the rolling mill in severe cases.

At present, China's iron and steel production capacity is overcapacity, and the domestic iron and steel industry is generally undergoing technological transformation. Even companies that do not pursue higher shape quality will gradually introduce more and more precision testing and control in order to improve production efficiency, reduce labor costs, and improve the level of automation. The reliable performance of the plate-shaped instrument is one of the auxiliary production equipment and is widely used.

The flatness detection roller is the core testing equipment of the flatness instrument. It is customized according to different rolling mill models. . Because the whole-roller plate-shaped detection roller is more special than other types of detection rollers, it is mainly due to the new structural method of installing the sensor through the axial hole to ensure that there is no gap between the detection units (to prevent the strip from being scratched during detection). The shape signal output by the sensor in the detection unit is different from the traditional shape signal. It is an important research direction to improve the detection accuracy of the whole roll shape instrument to do more detailed research on the generation mechanism and use method of this kind of shape signal. The angle of the roll is two important factors that affect the shape signal. Therefore, a method for adjusting or setting the tension and wrap angle of the whole roll shape meter is urgently needed as the detection purpose.

SUMMARY OF THE INVENTION

The purpose of the present invention is to solve the problem that the detection signals of the strip tension and the strip covering shape are different in the whole-roll type shape detection roller. Here, the inventor proposes a whole-roll type shape detection roller tension and wrapping Angle setting calculation method.

For the above-mentioned technical defects, the present invention provides the following technical solutions:

A method for calculating the tension and wrap angle setting of a whole-roll-type plate shape detection roller, comprising the following steps:

S1, establish an x-y Cartesian reference coordinate system, and select four points as the initial axis positions of each roller in a four-roller structure;

S2, given the shape detection roll radius R ₁ and the strip-covered flat roll angle 2θ ₁ , calculate the drive roll radius R ₂ that satisfies the current wrap angle 2θ ₁ ;

S3, given strip tension T, strip elastic modulus E; strip width B; strip thickness h, calculate the applied load corresponding to the current wrap angle 2θ ₁ and strip tension T on the axis of the driving roller F;

S4, build a test platform or a simulation model for the test according to the calculated parameters, the calculated radius R ₂ of the transmission roller and the applied load F.

The technical solution of the present invention is further improved in that, in the S1, the coordinates of the selected four points are respectively a four-roller structure, and each roller structure is respectively two drive rollers O ₁ (x ₁ ,0) and O ₂ (-x ₁ ,0 ), a plate shape detection roller O ₃ (0,y ₁ ), a driving roller O ₄ (0,y ₂ ), wherein O ₁ and O ₂ are the axis coordinates of the two drive rollers, and O ₃ is the plate shape detection roller axis The center coordinate, O ₄ is the axis coordinate of the drive roller, the radius of the two drive rollers is the same as the radius of the drive roller, and the strip is covered with a _four -roller structure. In addition, the positions of O ₁ , O ₂ and O ₃ are fixed, and the corresponding The driving roller can move under load.

The technical solution of the present invention is further improved in that the S2 includes the following steps:

S2.1, it is assumed that the common tangent of the plate-shaped detection roller with O ₃ (0, y ₁ ) as the axis and the drive roller with O ₂ (-x ₁ , 0) as the axis on the strip covering side is a straight line l:y=kx+b, then k=tanθ ₁ ;

求出常数项b，采用如下计算公式：S2.2, use the distance from O ₃ point to the straight line l as the radius of the plate shape detection roller

To find the constant term b, use the following formula:

S2.3, the straight line l equation is obtained, and the following calculation formula is used:

S2.4, the distance from O ₂ to the straight line l is the radius of the drive roller, and the following formula is used:

The technical solution of the present invention is further improved in that the S3 includes the following steps:

S3.1, it is assumed that the angle at which the strip wraps the drive roller with O ₂ as the axis is divided into two parts, θ ₂ and θ ₃ by the x-axis, where θ ₂ corresponds to the part above the x-axis, and θ ₃ corresponds to the part below the x-axis. part, and assuming that the wrapping angle of the driving roll is 2θ ₄ , the following formula is used:

θ ₃ =arctan(x ₁ /y ₂ );

θ ₄ =arctan(y ₂ /x ₁ );

To calculate the initial strip length L, the following formula is used:

其中

为带材上所受应力值，

为应变值，ΔL为加载后带材伸长量,采用如下计算公式：S3.2, since σ=Eε,

in

is the stress value on the strip,

is the strain value, ΔL is the elongation of the strip after loading, and the following formula is used:

S3.3, it can be obtained from the geometric relationship that θ ₄ is satisfied after loading, and the following calculation formula is used:

S3.4, F can be finally obtained from the above derivation, using the following calculation formula:

Compared with the prior art, the beneficial effects of the method for calculating the tension and wrap angle setting of the whole-roller type plate shape detection roller provided by the present invention are as follows:

1. The present invention provides a method for calculating the tension and wrap angle setting of the whole-roll flatness detection roller, which is accurate and fast for the calculation of the tension and wrapping angle of the flat roll.

2. The present invention provides a method for calculating the tension and wrap angle setting of the whole-roll plate shape detection roller, which improves the design and construction efficiency of the test platform, improves the design and construction efficiency of the test simulation model, and saves the cost of manpower and material resources at the same time. .

Description of drawings

Fig. 1 is a flow chart of a method for calculating the tension and wrap angle setting of the whole-roll type plate shape detection roller provided by the present invention;

2 is a schematic diagram of a four-roller structure provided by the present invention for a method for calculating the tension and wrapping angle setting of a whole-roller plate shape detection roller;

3 is a schematic diagram of the position of the driving roller before and after the load and the strip stretching according to the calculation method of the tension and wrap angle setting of the whole-roll plate shape detection roller provided by the present invention;

4 is a schematic diagram of the output curve of the flat roll obtained from a set of test data obtained under a set of constant tension and variable wrap angle of a method for calculating the tension and wrap angle setting of a whole-roll flat shape detection roll provided by the present invention;

5 is a schematic diagram of the output curve of the flat roll obtained from a set of experimental data obtained under a set of constant wrap angle and variable tension in a method for calculating the tension and wrap angle setting of a whole-roll flat shape detection roll provided by the present invention.

Detailed ways

The technical solutions of the present invention will be clearly and completely described below through specific embodiments. Obviously, the described embodiments are only some, but not all, embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.

As shown in Figure 1, the method for calculating the tension and wrap angle setting of the whole-roll flatness detection roller includes the following steps:

S1, establish an x-y Cartesian reference coordinate system, and select four points as the initial axis positions of each roller in a four-roller structure;

Preferably, the coordinates of four points are selected as a four-roller structure in the S1, the strip is covered with a four-roller structure, and each roller structure is a plate-shaped detection roller O ₃ (0,400), a driving roller O ₄ (0, 400), respectively. -800) and two drive rollers O ₁ (800,0) and O ₂ (-800,0), the radius of the two drive rollers is the same as that of the drive roller, where O ₁ and O ₂ are the axes of the two drive rollers Coordinates, O ₃ is the axis coordinate of the plate-shaped roller, O ₄ is the axis coordinate of the driving roller, wherein, O ₁ , O ₂ , O ₃ are fixed in position, and the driving roller corresponding to O ₄ can move under load; as shown in Figure 2 ;

S2, given the radius of the plate shape detection roller R ₁ =156.5mm and the angle of the strip-clad plate-shaped roller of 10°, calculate the radius R ₂ of the drive roller that satisfies the current wrap angle of 10°;

Preferably, the S2 includes the following steps:

S2.1, it is assumed that the common tangent of the plate-shaped detection roller with O ₃ (0,400) as the axis and the transmission roller with O ₂ (-800,0) as the axis on the coating side of the strip is a straight line l:y= kx+b, then k=tan θ ₁ =0.0875; where θ ₁ is one-half of the expected strip roll value;

求出常数项b，采用如下计算公式：S2.2, use the distance from O ₃ point to the straight line l as the radius of the plate shape detection roller

To find the constant term b, use the following formula:

S2.3, the straight line l equation is obtained, using the following calculation formula:

S2.4, the distance from O ₂ to the straight line l is the radius of the drive roller, and the following formula is used:

S3, given strip tension T=1000N, strip elastic modulus E=206Gpa; strip width B=26mm; strip thickness h=1mm, calculate the corresponding current wrap angle 2θ ₁ =10° and strip tension T = 1000N applied load F acting on the axis of the driving roller;

Preferably, the S3 includes the following steps:

S3.1, it is assumed that the angle at which the strip wraps the drive roller with O ₂ as the axis is divided into two parts, θ ₂ and θ ₃ by the x-axis, where θ ₂ corresponds to the part above the x-axis, and θ ₃ corresponds to the part below the x-axis. part, and assuming that the wrapping angle of the driving roll is 2θ ₄ , the following formula is used:

θ ₃ =arctan(x ₁ /y ₂ )=0.25π;

θ ₄ =arctan(y ₂ /x ₁ )=0.25π;

To calculate the initial strip length L, the following formula is used:

其中

为带材上所受应力值，

为应变值。ΔL为加载后带材伸长量，主动辊受载前后位置和带材拉伸情况如图3所示；得到：

S3.2, since σ=Eε,

in

is the stress value on the strip,

is the strain value. ΔL is the elongation of the strip after loading, and the position of the driving roller before and after the loading and the stretching of the strip are shown in Figure 3; it is obtained:

S3.3, θ ₄ after loading can be obtained from the geometric relationship, and the following formula is used:

S3.4, F can be finally obtained from the above derivation, using the following calculation formula:

S4, a test platform or a simulation model can be built according to the calculated parameters and the calculated radius R ₂ of the transmission roller and the applied load F to carry out the test. Use the following data:

The radius of the plate roll R ₁ =156.5mm, x ₁ =y ₁ =y ₂ =800mm, the elastic modulus of the strip E=206Gpa; the width of the strip B=26mm; the thickness of the strip h=1mm. The tension and wrap angle are set according to the following two schemes:

1. Fix the tension as T=1000N, change the wrap angle as 2θ ₁ =24°, 2θ ₁ =28°... 2θ ₁ =40° to conduct the test.

2. The fixed wrap angle is 2θ ₁ =30° respectively, and the tension is changed to T=500N, T=1000N, T=1500N, T=2000N, T=2500N for testing.

The drive roller radius R ₂ and tension F obtained by the above two sets of solutions are shown in Table 1 and Table 2 below;

wrap angle/° R2/mm F/N twenty four 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 The data obtained by fixing the tension to 1000N and changing the wrapping angle

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 to 30° and changing the tension

Based on the above two sets of data, the output force curves of the shapemeter sensor obtained by the finite element method are shown in Figures 4 and 5; the two sets of curves truly restore the force of the shapemeter sensor with axial through holes, The effectiveness of the method is verified.

The above-mentioned embodiments are only to describe the preferred embodiments of the present invention, and do not limit the scope of the present invention. On the premise of not departing from the design spirit of the present invention, those of ordinary skill in the art can Such deformations and improvements shall fall within the protection scope determined by the claims of the present invention.

Claims (3)

1. a method for calculating the setting of roll tension and wrapping angle of the whole-roll type plate shape detection roll, is characterized in that, comprises the steps: S1, establish an xy Cartesian reference coordinate system, select four points as the initial axis position of each roller in a four-roller structure; the four-roller structure includes two drive rollers O ₁ (x ₁ ,0) and O ₂ (-x _1,0 ), a plate shape detection roller O ₃ (0,y ₁ ), a driving roller O ₄ (0,y ₂ ), wherein O ₁ and O ₂ are the axis coordinates of the two drive rollers, and O ₃ is the plate shape Detect the axis coordinate of the roller, O ₄ is the axis coordinate of the driving roller, the radius of the two driving rollers is the same as that of the driving roller, and the strip is covered with a four-roller structure; S2, given the radius R ₁ of the plate shape detection roller and the angle size 2θ ₁ of the strip wrapping plate shape detection roller, calculate and obtain the radius R ₂ of the transmission roller that satisfies the current wrap angle 2θ ₁ ; S3, given strip tension T, strip elastic modulus E; strip width B; strip thickness h, calculate the applied load corresponding to the current wrap angle 2θ ₁ and strip tension T on the axis of the driving roller F; S4, build a test platform or a simulation model according to the calculated parameters and the calculated radius of the drive roller R ₂ and the applied load F for the test. The test includes the following: 1) When the tension is fixed, change the wrap angle to test; 2) When the wrap angle is fixed, change the tension to carry out the test. 2. The method for calculating the tension and wrap angle setting of the whole-roll type plate shape detection roller according to claim 1, wherein: the S2 comprises the following steps: S2.1, it is assumed that the common tangent of the plate-shaped detection roller with O ₃ (0, y ₁ ) as the axis and the transmission roller with O ₂ (-x ₁ , 0) as the axis on the coating side of the strip is a straight line l:y=kx+b, then the slope k=tanθ ₁ ; S2.2, use the formula of the distance from the point O ₃ to the straight line l as the radius of the plate shape detection roller

To find the constant term b, the calculation formula is as follows:

S2.3, the straight line l equation is obtained, and the calculation formula is as follows:

S2.4, the distance from O ₂ to the straight line l is the radius of the drive roller, and the calculation formula is as follows:

3. The method for calculating the tension and wrap angle setting of the whole-roll type plate shape detection roller according to claim 1, wherein: the S3 comprises the following steps: S3.1, it is assumed that the angle at which the strip wraps the drive roller with O ₂ as the axis is divided into two parts, θ ₂ and θ ₃ by the x-axis, where θ ₂ corresponds to the part above the x-axis, and θ ₃ corresponds to the part below the x-axis. part, and assume that the wrapping angle of the driving roll is 2θ ₄ ; the following formula is used:

θ ₃ =arctan(x ₁ /y ₂ ); θ ₄ =arctan(y ₂ /x ₁ ); To calculate the initial strip length L, the following formula is used:

S3.2, since σ=Eε, where

is the stress value on the strip,

is the strain value, ΔL is the elongation of the strip after loading, and the following formula is used:

S3.3, it can be obtained from the geometric relationship that θ ₄ is satisfied after loading, and the following calculation formula is used:

S3.4, the applied load F acting on the axis of the driving roller is finally obtained from the above derivation, and the following calculation formula is used:

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