A method and system for calculating longitudinal stiffness of a hot rolling mill
By combining pressure test data and finite element model simulation, the longitudinal stiffness of the hot strip mill was comprehensively calculated, which solved the problem of inaccurate stiffness calculation during the rolling process and achieved precise control of the strip exit thickness and production stability.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- TIANTIE HOT ROLLED PLATE CO LTD
- Filing Date
- 2022-12-19
- Publication Date
- 2026-05-19
AI Technical Summary
The existing method for calculating the longitudinal stiffness of hot strip mills is inaccurate during the rolling process, which leads to fluctuations in the strip thickness at the exit, affecting product quality. Furthermore, the traditional pre-rolling method is time-consuming and costly.
By combining the pressure test data with the mill-workpiece coupled finite element model simulation, and through multiple linear regression and weighted calculation, the longitudinal stiffness of the mill is calculated by comprehensively considering the influencing factors in the rolling process, such as rolling force, strip width, rolling speed, bending force and roll slippage, and combining the bounce process.
It improves the stability and continuity of the rolling process, precisely controls the strip exit thickness, and reduces material and time costs.
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Figure CN116562109B_ABST
Abstract
Description
Technical Field
[0001] This invention belongs to the field of hot strip mill technology, specifically relating to a comprehensive calculation method and system for the longitudinal stiffness of a hot strip mill. Background Technology
[0002] In hot strip rolling, precise control of strip exit thickness is fundamental to evaluating strip shape quality. The longitudinal stiffness of both sides of the mill is crucial for precise strip exit thickness control and rolling stability. Existing methods for calculating mill longitudinal stiffness often employ regression calculations using the pressure-fit method. However, in actual rolling processes, rolling force, bending roll force, roll shifting, strip thickness, and rolling speed all affect the mill's longitudinal stiffness. Furthermore, because strip is an elasto-plastic material, it exhibits a bouncing phenomenon during biting, leading to inaccurate fluctuations in strip exit thickness and consequently, strip product quality issues.
[0003] There is also a relatively accurate trial method for calculating the longitudinal stiffness of a rolling mill. This method requires pre-rolling aluminum plates or similar materials before rolling production to determine the longitudinal stiffness of the rolling mill. However, this method requires a lot of time and material costs, which affects the rolling rhythm of strip steel production. Summary of the Invention
[0004] This invention addresses technical problems in existing technologies by providing a comprehensive calculation method and system for the longitudinal stiffness of a hot strip mill. It fully utilizes pressure testing data, and comprehensively calculates the mill stiffness coefficient based on simulation data from the mill-workpiece coupled finite element model and the bouncing process observed during daily rolling. This method comprehensively considers the stiffness reflecting the mill equipment's condition during pressure testing, the influence of strip width, rolling force, rolling speed, bending roll force, and roll shifting on the mill's longitudinal stiffness during rolling, and the impact of the bouncing of the strip upon entering the mill on the mill's longitudinal stiffness. This solves problems such as inaccurate mill stiffness calculations during strip rolling, improving the continuity and stability of rolling production.
[0005] The first objective of this invention is to provide a comprehensive calculation method for the longitudinal stiffness of a hot strip mill, used for calculating the longitudinal stiffness of the mill during the thickness calculation process, including:
[0006] S1. Obtain the pressure test data on both sides of the rolling mill, perform a quadratic regression curve on the pressure test data on both sides of the rolling mill, and obtain the rolling mill operating side stiffness K by taking the coefficient of the first regression term. T_OS With transmission side stiffness K T_DS ;
[0007] S2. Establish a coupled finite element simulation model of the rolling mill and the rolled piece. Through simulation analysis, identify the influencing factors affecting the longitudinal stiffness changes on both sides of the rolling mill. Simultaneously, establish orthogonal experiments at corresponding levels based on these influencing factors, and obtain the rolling mill operating side stiffness K through multiple linear regression. S_OS With the longitudinal stiffness K of the transmission side S_DS ;
[0008] S3. During the rolling process, the operating side stiffness K of the rolling mill is calculated by back-calculating using the bounce equation. C_OS With the longitudinal stiffness K of the transmission side C_DS ;
[0009] S4. By comprehensively utilizing the pressure test data, the mill operating side stiffness K is calculated based on the simulation data of the mill-workpiece coupled finite element model established by the mill and the bouncing process that occurs during daily rolling. OS With the longitudinal stiffness K of the transmission side DS for:
[0010] K OS =μ1K T_OS +μ2K S_OS +μ3K C_OS
[0011] K DS =δ1K T_DS +δ2K S_DS +δ3K C_DS
[0012] In the formula: μ1, μ2, μ3, δ1, δ2, and δ3 are all weighting coefficients.
[0013] Preferably, in S1: based on the on-site pressure test, a quadratic function curve fitting is used, and the coefficients of the first term are respectively the stiffness K of the rolling mill operating side. T_OS With transmission side stiffness K T_DS :
[0014]
[0015]
[0016] In the formula: P OS0 To operate the side pressure, P relies on rolling force. DS0 The transmission side is pressed by rolling force; s t _ OS To facilitate operation, the side pressure relies on displacement, s t _ DS For the transmission side pressure displacement, a0 and a1 are the transmission side stiffness regression coefficients; b0 and b1 are the operating side stiffness regression coefficients.
[0017] Preferably, in S2: the influencing factors are determined using commercial ABAQUS finite element analysis software, including rolling force P, strip width B, and work roll shifting amount X. w Rolling speed v and bending force F w A 5-factor, 5-level orthogonal experimental design was established, and L was selected by comparing it with existing standard orthogonal tables. 25 (5 6 (as an orthogonal array);
[0018]
[0019]
[0020] The longitudinal stiffness on both sides of the rolling mill obtained through orthogonal experiments and finite element simulation is as follows:
[0021] K S_OS =k1P OS +k2B+k3X W +k4v+k5F W ;
[0022] K S_DS =θ1P DS +θ2B+θ3X W +θ4v+θ5F W ;
[0023] In the formula: k1 is the influence coefficient of longitudinal stiffness rolling force on the operating side; k2 is the influence coefficient of longitudinal stiffness strip width on the operating side; k3 is the influence coefficient of longitudinal stiffness roll displacement on the operating side; k4 is the influence coefficient of longitudinal stiffness rolling speed on the operating side; k5 is the rolling coefficient of longitudinal stiffness bending roll force on the operating side; θ1 is the influence coefficient of longitudinal stiffness rolling force on the drive side; θ2 is the influence coefficient of longitudinal stiffness strip width on the drive side; θ3 is the influence coefficient of longitudinal stiffness roll displacement on the drive side; θ4 is the influence coefficient of longitudinal stiffness rolling speed on the drive side; θ5 is the rolling coefficient of longitudinal stiffness roll force on the drive side; k1, k2, k3, k4, k5, θ1, θ2, θ3, θ4, and θ5 are obtained by regression calculation of the mill-workpiece coupling model.
[0024] Preferably, in S3:
[0025]
[0026]
[0027]
[0028]
[0029] In the formula: P OSFor the operating side rolling force, P DS For the rolling force on the drive side, P OS0 For zero-adjustment operation side rolling force, P DS0 For zero-adjustment transmission side rolling force; S OS Indicates the operating side roll gap setting value, S DS This indicates the set value of the roller gap on the drive side; hos is the exit thickness of the slab on the operating side, and h is the value of the roller gap setting. DS For the thickness of the transmission side outlet, cof OS To compensate for the side roll gap, cof DS α represents the roll gap compensation amount on the drive side, β represents the self-learning coefficient on the operating side, and β represents the self-learning coefficient on the drive side. This is the measured value of the pre-swing roll gap on the operating side of the upper coil steel; This is the measured value of the pre-swing roll gap on the drive side of the upper coil steel. The pre-swing roll gap calculation setting value is used for the operating side of the upper coil steel. The pre-swaying roll gap is calculated and set for the upper coil steel drive side.
[0030] The second objective of this invention is to provide a comprehensive calculation system for the longitudinal stiffness of a hot strip mill, used for calculating the longitudinal stiffness of the mill during the thickness calculation process, including:
[0031] Module 1: Acquire test data of the pressing and contacting of both sides of the rolling mill, perform a quadratic regression curve on the test data of the pressing and contacting of both sides of the rolling mill, and obtain the rolling mill operating side stiffness K by taking the coefficients of the first term of the regression. T_OS With transmission side stiffness K T_DS ;
[0032] The second module involves establishing a coupled finite element simulation model of the rolling mill and the rolled piece. Through simulation analysis, the influencing factors affecting the longitudinal stiffness changes on both sides of the rolling mill are identified. Simultaneously, orthogonal experiments at corresponding levels are established based on these influencing factors. The operating side stiffness K of the rolling mill is obtained through multiple linear regression. S_OS With the longitudinal stiffness K of the transmission side S_DS ;
[0033] Module 3: During the rolling process, the operating side stiffness K of the rolling mill is calculated by back-calculating the bounce equation. C_OS With the longitudinal stiffness K of the transmission side C_DS ;
[0034] The fourth module: By comprehensively utilizing the pressure test data, the simulation data of the mill-workpiece coupled finite element model established by the mill, and the bouncing process that occurs during daily rolling, the operating side stiffness K of the mill is calculated using a weighted average. OS With the longitudinal stiffness K of the transmission side DS for:
[0035] K OS =μ1K T_OS+μ2K S_OS +μ3K C_OS
[0036] K DS =δ1K T_DS +δ2K S_DS +δ3K C_DS
[0037] In the formula: μ1, μ2, μ3, δ1, δ2, and δ3 are all weighting coefficients.
[0038] Preferably, in the first module: based on the on-site pressure test, a quadratic function curve fitting is used, and the coefficients of the first term are respectively the stiffness K of the mill operating side. T_OS With transmission side stiffness K T_DS :
[0039]
[0040]
[0041] In the formula: P OS0 To operate the side pressure, P relies on rolling force. DS0 The transmission side is pressed by rolling force; s t_OS To facilitate operation, the side pressure relies on displacement, s t_DS For the transmission side pressure displacement, a0 and a1 are the transmission side stiffness regression coefficients; b0 and b1 are the operating side stiffness regression coefficients.
[0042] Preferably, in the second module: influencing factors are determined using commercial ABAQUS finite element analysis software, including rolling force P, strip width B, and work roll shifting amount X. w Rolling speed v and bending force F w A 5-factor, 5-level orthogonal experimental design was established, and L was selected by comparing it with existing standard orthogonal tables. 25 (5 6 (as an orthogonal array);
[0043]
[0044]
[0045] The longitudinal stiffness on both sides of the rolling mill obtained through orthogonal experiments and finite element simulation is as follows:
[0046] K S_OS =k1P OS +k2B+k3X W +k4v+k5F W ;
[0047] K S_DS =θ1P DS+θ2B+θ3X W +θ4v+θ5F W ;
[0048] In the formula: k1 is the influence coefficient of longitudinal stiffness rolling force on the operating side; k2 is the influence coefficient of longitudinal stiffness strip width on the operating side; k3 is the influence coefficient of longitudinal stiffness roll displacement on the operating side; k4 is the influence coefficient of longitudinal stiffness rolling speed on the operating side; k5 is the rolling coefficient of longitudinal stiffness bending roll force on the operating side; θ1 is the influence coefficient of longitudinal stiffness rolling force on the drive side; θ2 is the influence coefficient of longitudinal stiffness strip width on the drive side; θ3 is the influence coefficient of longitudinal stiffness roll displacement on the drive side; θ4 is the influence coefficient of longitudinal stiffness rolling speed on the drive side; θ5 is the rolling coefficient of longitudinal stiffness roll force on the drive side; k1, k2, k3, k4, k5, θ1, θ2, θ3, θ4, and θ5 are obtained by regression calculation of the mill-workpiece coupling model.
[0049] Preferably, in the third module:
[0050]
[0051]
[0052]
[0053]
[0054] In the formula: P OS For the operating side rolling force, P DS For the rolling force on the drive side, P OS0 For zero-adjustment operation side rolling force, P DS0 For zero-adjustment transmission side rolling force; S OS Indicates the operating side roll gap setting value, S DS This indicates the set value of the roller gap on the drive side; hos is the exit thickness of the slab on the operating side, and h is the value of the roller gap setting. DS For the thickness of the transmission side outlet, cof OS To compensate for the side roll gap, cof DS α represents the roll gap compensation amount on the drive side, β represents the self-learning coefficient on the operating side, and β represents the self-learning coefficient on the drive side. This is the measured value of the pre-swing roll gap on the operating side of the upper coil steel; This is the measured value of the pre-swing roll gap on the drive side of the upper coil steel. The pre-swing roll gap calculation setting value is used for the operating side of the upper coil steel. The pre-swaying roll gap is calculated and set for the upper coil steel drive side.
[0055] The third objective of this invention is to provide an information data processing terminal for implementing the above-mentioned comprehensive calculation method for the longitudinal stiffness of a hot strip mill.
[0056] A fourth objective of this invention is to provide a computer-readable storage medium including instructions that, when executed on a computer, cause the computer to perform the above-described method for comprehensive calculation of the longitudinal stiffness of a hot strip mill.
[0057] The advantages and positive effects of this invention are:
[0058] This invention fully utilizes the pressure test data in the calculation method of the longitudinal stiffness of the rolling mill. Based on the simulation data of the mill-workpiece coupled finite element model established during the rolling process and the bouncing process that occurs during daily rolling, the mill stiffness coefficient is calculated using a comprehensive weighted average. This method comprehensively considers the stiffness reflecting the state of the rolling mill equipment during the pressure test, the influence of strip width, rolling force, rolling speed, bending roll force, and roll shifting on the longitudinal stiffness of the rolling mill during the rolling process, and the influence of the bouncing of the strip as it enters the rolling mill on the longitudinal stiffness of the rolling mill. This solves the problem of inaccurate calculation of mill stiffness during strip rolling. Attached Figure Description
[0059] Figure 1 This is a flowchart provided by a preferred embodiment of the present invention. Detailed Implementation
[0060] To further understand the invention's content, features, and effects, the following embodiments are provided, and detailed descriptions are given below in conjunction with the accompanying drawings:
[0061] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the technical solutions of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.
[0062] Please see Figure 1 .
[0063] 1. A comprehensive calculation method for the longitudinal stiffness of a hot strip mill, used for accurately calculating the longitudinal stiffness of the mill during the thickness calculation process, comprising the following steps:
[0064] (1) The stiffness K of the operating side and the transmission side of the mill was obtained by performing a quadratic regression curve on the test data of the pressing test on both sides of the mill and taking the coefficient of the first regression term. T_OS K T_DS .
[0065] (2) By establishing a coupled finite element simulation model of the rolling mill and the rolled piece, the main factors affecting the change of longitudinal stiffness on both sides of the rolling mill were obtained through simulation analysis. At the same time, orthogonal experiments of corresponding levels were established based on the main influencing factors. The longitudinal stiffness K of the rolling mill operating side and the transmission side was obtained by multiple linear regression. S_OS K S_DS :
[0066] (3) By back-calculating the springback equation during the production rolling process, the longitudinal stiffness K of the mill operating side and transmission side is obtained respectively. C_OS K C_DS :
[0067] (4) By comprehensively utilizing the pressure test data, the longitudinal stiffness K of the mill's operating side and transmission side is calculated based on the simulation data of the mill-workpiece coupled finite element model established by the mill and the bouncing process that occurs during daily rolling. OS K DS for:
[0068] K OS =μ1K T_OS +μ2K S_OS +μ3K C_OS
[0069] K DS =δ1K T_DS +δ2K S_DS +δ3K C_DS
[0070] In the formula:
[0071] K OS K DS —The longitudinal stiffness values of the operating side and drive side of the rolling mill obtained by comprehensive calculation, in KN / mm;
[0072] μ1, μ2, μ3 — weighting coefficients, where μ1 = 0.5, μ2 = 0.3, μ3 = 0.2;
[0073] δ1, δ2, δ3 — weighting coefficients, where δ1 = 0.5, δ2 = 0.3, δ3 = 0.2;
[0074] K T_OS K T_DS —Stiffness values of the operating side and transmission side of the rolling mill obtained from the pressure test, in kN / mm;
[0075] K S_OS K S_DS —Stiffness values of the operating side and transmission side of the rolling mill obtained from finite element simulation, in kN / mm;
[0076] K C_OS KC_DS —Stiffness values of the operating side and transmission side of the rolling mill obtained by back-calculation of the bounce equation, in kN / mm;
[0077] Stiffness K on both sides of the rolling mill obtained from the pressure test T_OS K T_DS The calculation method is as follows:
[0078] Based on on-site pressure testing and using quadratic function curve fitting, the coefficients of the first-order term represent the longitudinal stiffness of the mill's operating side and drive side, respectively:
[0079]
[0080]
[0081] In the formula:
[0082] K T_OS K T_DS —Longitudinal stiffness of the mill's operating and transmission sides obtained through pressure testing, in kN / mm;
[0083] P OS0 P DS0 —The operating side and the transmission side are pressed together by rolling force, kN;
[0084] s t_OS s t_DS —Displacement between the operating side and the transmission side, mm;
[0085] a0, a1 — Regression coefficients of transmission side stiffness;
[0086] b0, b1 — regression coefficients of operating side stiffness;
[0087] The longitudinal stiffness K of the mill's operating side and drive side obtained through finite element simulation S_OS K S_DS The calculation method is as follows:
[0088] A mill-workpiece coupled finite element simulation model for mill stiffness was established, and the rolling force P, strip width B, and work roll shifting amount X were determined using commercial ABAQUS finite element analysis software. w Rolling speed v and bending force F w Key factors such as [list of factors] affect the longitudinal stiffness of the rolling mill, thus a 5-factor, 5-level orthogonal experimental table was established. Therefore, comparing with existing standard orthogonal tables, L [factor] was selected. 25 (5 6 () as an orthogonal array.
[0089]
[0090]
[0091] The orthogonal array header design is shown below:
[0092] Table 1. Orthogonal array header design table
[0093]
[0094] After designing the header of the orthogonal array, we can then complete the other content of the table, following the existing orthogonal array L. 25 (5 6 Following the rules, the experimental plan was obtained, as shown in Table 2.
[0095] Table 2 Experimental Protocol
[0096]
[0097]
[0098] The longitudinal stiffness on both sides of the rolling mill obtained from the finite element simulation can be obtained through orthogonal experiments as follows:
[0099] K S_OS =k1P OS +k2B+k3X W +k4v+k5F W
[0100] K S_DS =θ1P DS +θ2B+θ3X W +θ4v+θ5F W
[0101] In the formula:
[0102] K S_OS K S_DS —Longitudinal stiffness of the mill's operating and transmission sides obtained from orthogonal regression experiments, in kN / mm;
[0103] k1—Influence coefficient of longitudinal stiffness rolling force on the operating side; k2—Influence coefficient of longitudinal stiffness strip width on the operating side; k3—Influence coefficient of longitudinal stiffness roll shifting on the operating side; k4—Influence coefficient of longitudinal stiffness rolling speed on the operating side; k5—Influence coefficient of longitudinal stiffness bending roll force on the operating side; θ1—Influence coefficient of longitudinal stiffness rolling force on the drive side; θ2—Influence coefficient of longitudinal stiffness strip width on the drive side; θ3—Influence coefficient of longitudinal stiffness roll shifting on the drive side; θ4—Influence coefficient of longitudinal stiffness rolling speed on the drive side; θ5—Influence coefficient of longitudinal stiffness roll force on the drive side; k1, k2, k3, k4, k5, θ1, θ2, θ3, θ4, θ5 are obtained through extensive finite element model calculations and regressions on the mill-workpiece coupling model.
[0104] During the rolling process, the longitudinal stiffness K of the operating side and the drive side of the rolling mill is calculated by back-calculation based on the bounce equation. C_OS K C_DS The calculation method is as follows:
[0105]
[0106]
[0107]
[0108]
[0109] In the formula:
[0110] K C_OS K C_DS —The mill stiffness on the operating side and drive side, calculated by back-calculation of the bounce, in kN / mm;
[0111] P OS P DS —Rolling force on the operating side and drive side, kN;
[0112] P OS0 P DS0 —Rolling force on the operating side and drive side during zero adjustment, kN;
[0113] S OS S DS —These represent the roller gap setting values for the operating side and the drive side, respectively, in mm;
[0114] hos、h DS —Slab exit thickness on the operating side and drive side, mm; (The strip exit thickness of stands F1 to F6 can be obtained by recording the change in the stroke of the hydraulic cylinders on both sides of the mill before and after the steel bites; the strip exit thickness of stand F7 is obtained by the exit multifunction meter.)
[0115] cof OS ,cof DS — Roll gap compensation amount between the operating side and the drive side, mm;
[0116] α, β — self-learning coefficients of the operating side and the transmission side, where α = 0.45 and β = 0.5;
[0117] —Measured value of the pre-sway roll gap between the operating side and the drive side of the upper coil steel;
[0118] —Calculation setting value of the pre-swaying roll gap between the operating side and the drive side of the upper coil steel.
[0119] A comprehensive calculation system for the longitudinal stiffness of a hot strip mill, used to calculate the longitudinal stiffness of the mill during the thickness calculation process, includes:
[0120] Module 1: Acquire test data of the pressing and contacting of both sides of the rolling mill, perform a quadratic regression curve on the test data of the pressing and contacting of both sides of the rolling mill, and obtain the rolling mill operating side stiffness K by taking the coefficients of the first term of the regression. T_OS With transmission side stiffness K T_DS ;
[0121] The second module involves establishing a coupled finite element simulation model of the rolling mill and the rolled piece. Through simulation analysis, the influencing factors affecting the longitudinal stiffness changes on both sides of the rolling mill are identified. Simultaneously, orthogonal experiments at corresponding levels are established based on these influencing factors. The operating side stiffness K of the rolling mill is obtained through multiple linear regression. S_OS With the longitudinal stiffness K of the transmission side S_DS ;
[0122] Module 3: During the rolling process, the operating side stiffness K of the rolling mill is calculated by back-calculating the bounce equation. C_OS With the longitudinal stiffness K of the transmission side C_DS ;
[0123] The fourth module: By comprehensively utilizing the pressure test data, the simulation data of the mill-workpiece coupled finite element model established by the mill, and the bouncing process that occurs during daily rolling, the operating side stiffness K of the mill is calculated using a weighted average. OS With the longitudinal stiffness K of the transmission side DS for:
[0124] K OS =μ1K T_OS +μ2K S_OS +μ3K C_OS
[0125] K DS =δ1K T_DS +δ2K S_DS +δ3K C_DS
[0126] In the formula: μ1, μ2, μ3, δ1, δ2, and δ3 are all weighting coefficients.
[0127] Preferably, in the first module: based on the on-site pressure test, a quadratic function curve fitting is used, and the coefficients of the first term are respectively the stiffness K of the mill operating side. T_OS With transmission side stiffness K T_DS :
[0128]
[0129]
[0130] In the formula: POS0 To operate the side pressure, P relies on rolling force. DS0 The transmission side is pressed by rolling force; s t_OS To facilitate operation, the side pressure relies on displacement, s t_DS For the transmission side pressure displacement, a0 and a1 are the transmission side stiffness regression coefficients; b0 and b1 are the operating side stiffness regression coefficients.
[0131] Preferably, in the second module: influencing factors are determined using commercial ABAQUS finite element analysis software, including rolling force P, strip width B, and work roll shifting amount X. w Rolling speed v and bending force F w A 5-factor, 5-level orthogonal experimental design was established, and L was selected by comparing it with existing standard orthogonal tables. 25 (5 6 (as an orthogonal array);
[0132]
[0133]
[0134] The longitudinal stiffness on both sides of the rolling mill obtained through orthogonal experiments and finite element simulation is as follows:
[0135] K S_OS =k1P OS +k2B+k3X W +k4v+k5F W ;
[0136] K S_DS =θ1P DS +θ2B+θ3X W +θ4v+θ5F W ;
[0137] In the formula: k1 is the influence coefficient of longitudinal stiffness rolling force on the operating side; k2 is the influence coefficient of longitudinal stiffness strip width on the operating side; k3 is the influence coefficient of longitudinal stiffness roll displacement on the operating side; k4 is the influence coefficient of longitudinal stiffness rolling speed on the operating side; k5 is the rolling coefficient of longitudinal stiffness bending roll force on the operating side; θ1 is the influence coefficient of longitudinal stiffness rolling force on the drive side; θ2 is the influence coefficient of longitudinal stiffness strip width on the drive side; θ3 is the influence coefficient of longitudinal stiffness roll displacement on the drive side; θ4 is the influence coefficient of longitudinal stiffness rolling speed on the drive side; θ5 is the rolling coefficient of longitudinal stiffness roll force on the drive side; k1, k2, k3, k4, k5, θ1, θ2, θ3, θ4, and θ5 are obtained by regression calculation of the mill-workpiece coupling model.
[0138] Preferably, in the third module:
[0139]
[0140]
[0141]
[0142]
[0143] In the formula: P OS For the operating side rolling force, P DS For the rolling force on the drive side, P OS0 For zero-adjustment operation side rolling force, P DS0 For zero-adjustment transmission side rolling force; S OS Indicates the operating side roll gap setting value, S DS This indicates the set value of the roller gap on the drive side; hos is the exit thickness of the slab on the operating side, and h is the value of the roller gap setting. DS For the thickness of the transmission side outlet, cof OS To compensate for the side roll gap, cof DS α represents the roll gap compensation amount on the drive side, β represents the self-learning coefficient on the operating side, and β represents the self-learning coefficient on the drive side. This is the measured value of the pre-swing roll gap on the operating side of the upper coil steel; This is the measured value of the pre-swing roll gap on the drive side of the upper coil steel. The pre-swing roll gap calculation setting value is used for the operating side of the upper coil steel. The pre-swaying roll gap is calculated and set for the upper coil steel drive side.
[0144] In the above embodiments:
[0145] (1) The longitudinal stiffness of the mill's operating side and transmission side is K. OS K DS :
[0146] K OS =μ1K T_OS +μ2K S_OS +μ3K C_OS
[0147] K DS =δ1K T_DS +δ2K S_DS +δ3K C_DS
[0148] In the formula:
[0149] K OS K OS —The longitudinal stiffness values of the operating side and drive side of the rolling mill obtained by comprehensive calculation, in KN / mm;
[0150] μ1, μ2, μ3 — weighting coefficients, where μ1 = 0.5, μ2 = 0.2, μ3 = 0.3;
[0151] δ1, δ2, δ3 — weighting coefficients, where δ1 = 0.5, δ2 = 0.2, δ3 = 0.3;
[0152] K T_OS K T_DS —Stiffness values of the operating side and transmission side of the rolling mill obtained from the pressure test, in kN / mm;
[0153] K S_OS K S_DS —Stiffness values of the operating side and transmission side of the rolling mill obtained from finite element simulation, in kN / mm;
[0154] K C_OS K C_DS —Stiffness values of the operating side and transmission side of the rolling mill obtained by back-calculation of the bounce equation, in kN / mm;
[0155] (2) Among them, the stiffness K of the mill operating side and transmission side obtained by the pressure test. T_OS K T_DS :
[0156] Based on on-site pressure testing, and by using quadratic function curve fitting, the longitudinal stiffness of both sides of the rolling mill is obtained by taking the coefficient of the first term as the value of the rolling mill:
[0157]
[0158]
[0159] In the formula:
[0160] F OS0 F DS0 —The operating side and the transmission side are pressed together by rolling force, kN;
[0161] s t_OS s t_DS —Displacement between the operating side and the transmission side, mm;
[0162] a0, a1 — Regression coefficients of transmission side stiffness;
[0163] b0, b1 — regression coefficients of operating side stiffness;
[0164] By conducting a pressure test on a certain stand on site, using quadratic curve fitting, and taking the coefficient of the first term, the longitudinal operating side stiffness of the mill was found to be 2182.9 KN / mm, and the transmission side stiffness was found to be 2021.4 KN / mm.
[0165] (3) The longitudinal stiffness K of the mill operating side and transmission side obtained by finite element simulation. S_OS K S_DS :
[0166] A mill-workpiece coupled finite element simulation model for mill stiffness was established, and the rolling force P, strip width B, and work roll shifting amount X were determined using commercial ABAQUS finite element analysis software. w Rolling speed v and bending force F w Key factors such as [list of factors] affect the longitudinal stiffness of the rolling mill. Therefore, a 5-factor, 5-level orthogonal experimental table was established. Based on existing standard orthogonal tables, L[number] was selected. 25 (5 6 () as an orthogonal array.
[0167]
[0168]
[0169] The longitudinal stiffness on both sides of the rolling mill obtained from the finite element simulation can be obtained through orthogonal experiments as follows:
[0170] K S_OS =0.212P OS +0.296B +0.78X W +6.2V +0.135F W
[0171] K S_DS =0.205P DS +0.292B+0.64X W +5.7V +0.086F W
[0172] During the rolling process, the following process parameters are extracted from the database:
[0173] Table 3. Process Parameters
[0174]
[0175] By substituting into the formula, the longitudinal stiffness of the mill operating side is calculated to be 2179.616 KN / mm, and the longitudinal stiffness of the transmission side is 2037.49 KN / mm.
[0176] (4) In the rolling process, the longitudinal stiffness K of the mill operating side and transmission side is calculated back according to the bounce equation. C OS K C DS :
[0177]
[0178]
[0179]
[0180]
[0181] In the formula:
[0182] K C_OS K C_DS —The mill stiffness on the operating side and drive side, calculated by back-calculation of the bounce, in kN / mm;
[0183] P OS P DS —Rolling force on the operating side and drive side, kN;
[0184] P OS0 P DS0 —The operating side and the transmission side are pressed together by rolling force, kN;
[0185] S OS S DS —These represent the roller gap setting values for the operating side and the drive side, respectively, in mm;
[0186] hos、h DS —Slab exit thickness, mm; (The strip exit thickness of stands F1 to F6 can be obtained by recording the change in the stroke of the hydraulic cylinders on both sides of the mill before and after the steel bites; the strip exit thickness of stand F7 is obtained by measuring the exit multifunction instrument.)
[0187] cof OS ,cof DS — Roll gap compensation amount between the operating side and the drive side, mm;
[0188] α, β — self-learning coefficients of the operating side and the transmission side, where α = 0.55 and β = 0.52;
[0189] —Measured value of the pre-sway roll gap between the operating side and the drive side of the upper coil steel;
[0190] —Calculated setting value for the pre-swaying roll gap between the operating side and the drive side of the upper coil steel;
[0191] Taking the F7 stand as an example, the relevant parameters for strip rolling production are as follows:
[0192] Table 4. Relevant parameters for strip rolling production
[0193]
[0194] The longitudinal stiffness of the mill drive side is calculated to be 2058.82 KN / mm, and the longitudinal stiffness of the operating side is calculated to be 2022.5 KN / mm.
[0195] Based on the comprehensive calculations in steps (2), (3), and (4), the longitudinal stiffness of the mill's operating side and transmission side is obtained as follows:
[0196] K OS =0.5×2182.9+0.2×2179.616+0.3×2058.82=2145.02KN / mm
[0197] K DS =0.5×2021.4+0.2×2037.490+0.3×2022.50=2024.95KN / mm
[0198] An information data processing terminal is used to implement the above-mentioned comprehensive calculation method for the longitudinal stiffness of a hot strip mill.
[0199] A computer-readable storage medium includes instructions that, when executed on a computer, cause the computer to perform the above-described comprehensive calculation method for the longitudinal stiffness of a hot strip mill.
[0200] In the above embodiments, implementation can be achieved, in whole or in part, through software, hardware, firmware, or any combination thereof. When implemented, in whole or in part, as a computer program product, the computer program product includes one or more computer instructions. When the computer program instructions are loaded or executed on a computer, all or part of the processes or functions described in the embodiments of the present invention are generated. The computer can be a general-purpose computer, a special-purpose computer, a computer network, or other programmable device. The computer instructions can be stored in a computer-readable storage medium or transmitted from one computer-readable storage medium to another. For example, the computer instructions can be transmitted from one website, computer, server, or data center to another website, computer, server, or data center via wired (e.g., coaxial cable, fiber optic, digital subscriber line (DSL)) or wireless (e.g., infrared, wireless, microwave, etc.) means. The computer-readable storage medium can be any available medium that a computer can access or a data storage device such as a server or data center that integrates one or more available media. The available medium can be a magnetic medium (e.g., floppy disk, hard disk, magnetic tape), an optical medium (e.g., DVD), or a semiconductor medium (e.g., a solid-state drive (SSD)).
[0201] The above description is merely a preferred embodiment of the present invention and is not intended to limit the present invention in any way. Any simple modifications, equivalent changes, and alterations made to the above embodiments based on the technical essence of the present invention shall fall within the scope of the technical solution of the present invention.
Claims
1. A comprehensive calculation method for the longitudinal stiffness of a hot strip mill, used to calculate the longitudinal stiffness of the mill during the thickness calculation process, characterized in that... include: S1. Obtain the pressure test data on both sides of the rolling mill, perform a quadratic regression curve on the pressure test data on both sides of the rolling mill, and obtain the rolling mill operating side stiffness K by taking the coefficient of the first regression term. T_OS With transmission side stiffness K T_DS ; S2. Establish a coupled finite element simulation model of the rolling mill and the rolled piece. Through simulation analysis, identify the influencing factors affecting the longitudinal stiffness changes on both sides of the rolling mill. Simultaneously, establish orthogonal experiments at corresponding levels based on these influencing factors, and obtain the rolling mill operating side stiffness K through multiple linear regression. S_OS With the longitudinal stiffness K of the transmission side S_DS ; S3. During the rolling process, the operating side stiffness K of the rolling mill is calculated by back-calculating using the bounce equation. C_OS With the longitudinal stiffness K of the transmission side C_DS ; S4. By comprehensively utilizing the pressure test data, the mill operating side stiffness K is calculated based on the simulation data of the mill-workpiece coupled finite element model established by the mill and the bouncing process that occurs during daily rolling. OS With the longitudinal stiffness K of the transmission side DS for: K OS =μ1K T_OS +μ2K S_OS +μ3K C_OS K DS =δ1K T_DS +δ2K S_DS +δ3K C_DS In the formula: μ1, μ2, μ3, δ1, δ2, and δ3 are all weighting coefficients.
2. The comprehensive calculation method for longitudinal stiffness of a hot strip mill according to claim 1, characterized in that, In S1: Based on the on-site pressure test, a quadratic function curve fitting was used, and the coefficients of the first term are respectively the stiffness K of the mill operating side. T_OS With transmission side stiffness K T_DS : In the formula: P OS0 To operate the side pressure, P relies on rolling force. DS0 The transmission side is pressed by rolling force; s t_OS To facilitate operation, the side pressure relies on displacement, s t_DS For the transmission side pressure displacement, a0 and a1 are the transmission side stiffness regression coefficients; b0 and b1 are the operating side stiffness regression coefficients.
3. The comprehensive calculation method for the longitudinal stiffness of a hot strip mill according to claim 1, characterized in that, In S2: Influencing factors were determined using commercial ABAQUS finite element analysis software. These influencing factors included rolling force P, strip width B, and work roll shifting amount X. w Rolling speed v and bending force F w A 5-factor, 5-level orthogonal experimental design was established, and L was selected by comparing it with existing standard orthogonal tables. 25 (5 6 (as an orthogonal array); The longitudinal stiffness on both sides of the rolling mill obtained through orthogonal experiments and finite element simulation is as follows: K S_OS =k1P OS +k2B+k3X W +k4v+k5F W ; K S_DS =θ1P DS +θ2B+θ3X W +θ4v+θ5F W ; In the formula: k1 is the influence coefficient of rolling force on longitudinal stiffness on the operating side; k2 is the influence coefficient of strip width on longitudinal stiffness on the operating side; k3 is the influence coefficient of roll shifting on longitudinal stiffness on the operating side; k4 is the influence coefficient of rolling speed on longitudinal stiffness on the operating side; k5 is the rolling coefficient of bending roll force on longitudinal stiffness on the operating side. θ1 is the influence coefficient of rolling force on the longitudinal stiffness of the drive side; θ2 is the influence coefficient of strip width on the longitudinal stiffness of the drive side; θ3 is the influence coefficient of roll displacement on the longitudinal stiffness of the drive side; θ4 is the influence coefficient of rolling speed on the longitudinal stiffness of the drive side; θ5 is the rolling coefficient of roll force on the longitudinal stiffness of the drive side; k1, k2, k3, k4, k5, θ1, θ2, θ3, θ4, and θ5 are obtained by regression calculation of the mill-workpiece coupling model.
4. The comprehensive calculation method for the longitudinal stiffness of a hot strip mill according to claim 1, characterized in that, In S3: In the formula: P OS For the operating side rolling force, P DS For the rolling force on the drive side, P OS0 For zero-adjustment operation side rolling force, P DS0 For zero-adjustment transmission side rolling force; S OS Indicates the operating side roll gap setting value, S DS Indicates the set value of the roller gap on the drive side; h OS h represents the thickness of the slab at the operating side exit. DS For the thickness of the transmission side outlet, cof OS To adjust the side roll gap compensation amount, cof DS α represents the roll gap compensation amount on the drive side, β represents the self-learning coefficient on the operating side, and β represents the self-learning coefficient on the drive side. This is the measured value of the pre-swing roll gap on the operating side of the upper coil steel; This is the measured value of the pre-swing roll gap on the drive side of the upper coil steel; The pre-swing roll gap calculation setting value is used for the operating side of the upper coil steel. The pre-swaying roll gap is calculated and set for the upper coil steel drive side.
5. A comprehensive calculation system for the longitudinal stiffness of a hot strip mill, used to calculate the longitudinal stiffness of the mill during the thickness calculation process, characterized in that... include: Module 1: Acquire test data of the pressing and contacting of both sides of the rolling mill, perform a quadratic regression curve on the test data of the pressing and contacting of both sides of the rolling mill, and obtain the rolling mill operating side stiffness K by taking the coefficients of the first term of the regression. T_OS With transmission side stiffness K T_DS ; The second module involves establishing a coupled finite element simulation model of the rolling mill and the rolled piece. Through simulation analysis, the influencing factors affecting the longitudinal stiffness changes on both sides of the rolling mill are identified. Simultaneously, orthogonal experiments at corresponding levels are established based on these influencing factors. The operating side stiffness K of the rolling mill is obtained through multiple linear regression. S_OS With the longitudinal stiffness K of the transmission side S_DS ; Module 3: During the rolling process, the operating side stiffness K of the rolling mill is calculated by back-calculating the bounce equation. C_OS With the longitudinal stiffness K of the transmission side C_DS ; The fourth module: By comprehensively utilizing the pressure test data, the simulation data of the mill-workpiece coupled finite element model established by the mill, and the bouncing process that occurs during daily rolling, the operating side stiffness K of the mill is calculated using a weighted average. OS With the longitudinal stiffness K of the transmission side DS for: K OS =μ1K T_OS +μ2K S_OS +μ3K C_OS K DS =δ1K T_DS +δ2K S_DS +δ3K C_DS In the formula: μ1, μ2, μ3, δ1, δ2, and δ3 are all weighting coefficients.
6. The comprehensive calculation system for longitudinal stiffness of a hot strip mill according to claim 5, characterized in that, In the first module: based on the on-site pressure test, a quadratic function curve fitting is used, and the coefficients of the first term are respectively the stiffness K of the mill operating side. T_OS With transmission side stiffness K T_DS : In the formula: P OS0 To operate the side pressure, P relies on rolling force. DS0 The transmission side is pressed by rolling force; s t_OS To facilitate operation, the side pressure relies on displacement, s t_DS For the transmission side pressure displacement, a0 and a1 are the transmission side stiffness regression coefficients; b0 and b1 are the operating side stiffness regression coefficients.
7. The comprehensive calculation system for longitudinal stiffness of a hot strip mill according to claim 5, characterized in that, In the second module: the influencing factors are determined using commercial ABAQUS finite element analysis software. These influencing factors include rolling force P, strip width B, and work roll shifting amount X. w Rolling speed v and bending force F w A 5-factor, 5-level orthogonal experimental design was established, and L was selected by comparing it with existing standard orthogonal tables. 25 (5 6 (as an orthogonal array); The longitudinal stiffness on both sides of the rolling mill obtained through orthogonal experiments and finite element simulation is as follows: K S_OS =k1P OS +k2B+k3X W +k4v+k5F W ; K S_DS =θ1P DS +θ2B+θ3X W +θ4v+θ5F W ; In the formula: k1 is the influence coefficient of rolling force on longitudinal stiffness on the operating side; k2 is the influence coefficient of strip width on longitudinal stiffness on the operating side; k3 is the influence coefficient of roll shifting on longitudinal stiffness on the operating side; k4 is the influence coefficient of rolling speed on longitudinal stiffness on the operating side; k5 is the rolling coefficient of bending roll force on longitudinal stiffness on the operating side. θ1 is the influence coefficient of rolling force on the longitudinal stiffness of the drive side; θ2 is the influence coefficient of strip width on the longitudinal stiffness of the drive side; θ3 is the influence coefficient of roll displacement on the longitudinal stiffness of the drive side; θ4 is the influence coefficient of rolling speed on the longitudinal stiffness of the drive side; θ5 is the rolling coefficient of roll force on the longitudinal stiffness of the drive side; k1, k2, k3, k4, k5, θ1, θ2, θ3, θ4, and θ5 are obtained by regression calculation of the mill-workpiece coupling model.
8. The comprehensive calculation system for longitudinal stiffness of a hot strip mill according to claim 5, characterized in that, In the third module: In the formula: P OS For the operating side rolling force, P DS For the rolling force on the drive side, P OS0 For zero-adjustment operation side rolling force, P DS0 For zero-adjustment transmission side rolling force; S OS Indicates the operating side roll gap setting value, S DS This indicates the set value of the roller gap on the drive side; hos is the exit thickness of the slab on the operating side, and h is the value of the roller gap setting. DS For the thickness of the transmission side outlet, cof OS To adjust the side roll gap compensation amount, cof DS α represents the roll gap compensation amount on the drive side, β represents the self-learning coefficient on the operating side, and β represents the self-learning coefficient on the drive side. This is the measured value of the pre-swing roll gap on the operating side of the upper coil steel; This is the measured value of the pre-swing roll gap on the drive side of the upper coil steel; The pre-swing roll gap calculation setting value is used for the operating side of the upper coil steel. The pre-swaying roll gap is calculated and set for the upper coil steel drive side.
9. An information data processing terminal, characterized in that, This method is used to implement the comprehensive calculation method for longitudinal stiffness of hot continuous rolling mill as described in any one of claims 1-4.
10. A computer-readable storage medium, characterized in that, Including instructions that, when run on a computer, cause the computer to execute the comprehensive calculation method for the longitudinal stiffness of a hot strip mill as described in any one of claims 1-4.