CN105956326A - Response surface model-based roll coolant system technological parameter optimization method - Google Patents

Response surface model-based roll coolant system technological parameter optimization method Download PDF

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CN105956326A
CN105956326A CN201610349243.5A CN201610349243A CN105956326A CN 105956326 A CN105956326 A CN 105956326A CN 201610349243 A CN201610349243 A CN 201610349243A CN 105956326 A CN105956326 A CN 105956326A
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roll
model
fatigue
technological parameter
response surface
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CN105956326B (en
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苏小平
李智
王东方
包圳
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Nanjing Tech University
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    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • G06F30/23Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/30Circuit design
    • G06F30/36Circuit design at the analogue level
    • G06F30/367Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods

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Abstract

The invention discloses a response surface model-based roll coolant system technological parameter optimization method. The method is characterized by comprising the following steps: (1) establishing a thermo-solid coupling model for optimizing an object hot rolling system and a fatigue life prediction model of an object roll; (2) selecting a plurality of roll coolant system technological parameters as optimization variables, determining a design space and an optimization objective thereof, extracting experimental sample points, and carrying out calculation to obtain a response value of a roll work period; (3) establishing a second-order response surface model, reflecting the relationship between input and output, of the roll work period according to the obtained response value; and (4) determining a roll cooling technological parameter value when the roll work period is the longest according to the response surface model, substituting the optimization result into the fatigue life prediction model to carry out fatigue analysis, and verifying the coolant system technological parameters until the optimum technological parameter is obtained. The method disclosed in the invention has relatively high reliability, applicability and operability, and can be used for effectively prolonging the fatigue life of roll parts in the hot rolling process.

Description

Roll coolant system process parameter optimizing method based on response surface model
Technical field
The present invention relates to a kind of Machining Technology, especially a kind of Roller Machining technology, specifically one is based on response The roll coolant system process parameter optimizing method of surface model.It is particularly suitable for roll coolant system various in the operation of rolling Technological parameter is optimized design.
Background technology
It is known that roll is as the expendable part of the operation of rolling, expensive, it should by complicated severe periodicity alternation Power, including thermal stress, rolling stress, reaction of bearing etc., surface is easily generated fatigue crack, has a strong impact on product quality.Mesh Before, general cut deal volume each order of classes or grades at school of factory (8 hours) will carry out reconditioning to roll.Cut it is therefore desirable to propose one Real feasible, the method for actually active raising roll campaign.
In the roll operation of rolling, the cooling effect of cooling water has important shadow to roller surface temperature field and Stress Field Distribution Ring, there is large effect the fatigue life of roll.Thus can be by the cooling technological parameter of cooling system (is included cooling Water pressure, jet angle, water temperature, jet density etc.) optimization, improve roll fatigue life.And for this parameter tradition Optimization Design mainly determined the optimal solution scope of optimised parameter by single factor experiment, this method is difficult to search out The concrete numerical value of optimised parameter, it is impossible to meet actual production demand.It is therefore proposed that a kind of roll based on response surface model Cooling system process parameter optimizing method for designing, the problem solving to determine optimum cooling technological parameter exact value.
Summary of the invention
It is an object of the invention to mainly pass through single factor experiment for the Optimization Design of existing roll cooling technological parameter Determine the optimal solution scope of optimised parameter, be difficult to search out the concrete numerical value of optimised parameter, it is impossible to meet actual production need The problem asked, invents a kind of roll coolant system process parameter optimizing method based on response surface model, tired to improve roll Life-span.
The technical scheme is that
A kind of roll coolant system process parameter optimizing method based on response surface model, it is characterised in that comprise the steps:
(1) thermosetting coupling model and the fatigue life prediction model of object roll of optimization object hot rolling system are set up;
(2) choose multiple roll coolant system technological parameter as optimized variable, and determine its design space and optimization aim, Extract test sample point, and be calculated roll working cycle response value by model in step (1);
(3) according to calculated response value in step (2), the roll working cycle of reflection input and output relation is set up Second-order response surface model;
(4) according to response surface model, determine the roll cooling process parameter value when roll working cycle is the longest, and will optimize Result is brought fatigue life prediction model into and is carried out analysis of fatigue, verifies cooling system technological parameter, until the technique obtaining optimum Parameter.
Wherein:
The thermosetting coupling model setting up optimization object hot rolling system described in step (1), comprises the steps:
1) consider the symmetry of rolling system, the 1/4 of realistic model is analyzed, i.e. set up the 1/2 of upper roller axially, Material properties axially and 1/2 thickness of rolled piece and the FEM (finite element) model of 1/2 width, and is added in the 1/2 of upper backup roll, setting Constraint;
2) when calculating Coefficient of Roll Temperature Field, it is considered to transmission of heat by contact between high temperature rolled piece and roll, cooling system to wandering Heat and the aerial heat radiation of roll, utilize the rotary simulation operation of rolling roll mechanical periodicity of roll model coordinate systems Heat exchanging process, to ensure the precision of model;
3) respectively contact is set between roll model and rolled piece model, roll model and support roller former, according to rolling work Skill parameter is that rolled piece arranges drafts, linear velocity, adds angular velocity for roll.
The fatigue life prediction model setting up roll described in step (1), to calculate the time of roll fatigue crack initiation; In conjunction with rolling system thermosetting coupling model, and the stress-longevity of roll material need to be added when setting up roll fatigue life prediction model Life curve.
Optimized variable described in step (2) refers to combine Rolling Production field condition and controlled cold in the operation of rolling But system process parameters.
The design space of the optimized variable described in step (2) refers to contain the Parameters variation model of optimum cooling technological parameter Enclose.
Optimization aim described in step (2) refers to that roll roll working cycle before germinating fatigue crack is the longest.
The test sample point of the analysis of Fatigue-life described in step (2) is to determine rationally according to non-linear test design method Testing site.
The calculating of the response value described in step (2) includes:
1) use finite element analysis software that test sample point is carried out thermosetting coupling analysis, extract answering of key position node Power state;
2) based on finite element analysis of fatigue software, roll is carried out analysis of Fatigue-life, obtain roll before germinating fatigue crack Working cycle be response value.
In step (3), the second-order response surface model representation for n design variable is:
y = β 0 + Σ i = 1 n β i X i + Σ j = 2 n Σ i = 1 j β i j X i X j
In formula: y is the output variable roll working cycle;XiTechnological parameter is cooled down for design variable;N is design variable Number;β is undetermined coefficient, least square fitting obtain.
The response surface built by step (3) described in step (4), it is thus achieved that the roll when roll working cycle is the longest is cold But process parameter value, carries out analysis of fatigue using optimum results as fatigue life prediction model boundary condition, contrasts cooling technique Analysis of Fatigue-life result before and after parameter optimization, if the cooling technological parameter after You Huaing can significantly extend the working cycle of roll, Then meet requirement, optimize and terminate and export optimum results, otherwise, rebuild the response surface, continue to optimize.
Beneficial effects of the present invention:
Roll for hot-rolling operation of rolling non linear finite element analysis is combined by the present invention with response surface optimization method, improves cooling The optimization efficiency and precision of technological parameter, is designed by the optimization of cooling system technological parameter, it is possible to increase the working cycle of roll, Effectively increase the service life.Solve and existing optimisation technique is difficult to ensure that the accurate and the most excellent problem of result, have higher Reliability, the suitability and operability.
Accompanying drawing explanation
Fig. 1 is the rolling system schematic diagram of the present invention.
Fig. 2 is the cooling system process parameter optimizing designing technique flow chart of the present invention.
Detailed description of the invention
The present invention is further illustrated with embodiment below in conjunction with the accompanying drawings.
As shown in Figure 1-2.
A kind of roll coolant system process parameter optimizing method based on response surface model, comprises the steps:
1. set up the thermosetting coupling model of optimization object hot rolling system (as shown in Figure 1) and the tired longevity of object roll Life forecast model.
The step of the thermosetting coupling model setting up optimization object hot rolling system is:
(1) consider the symmetry of rolling system, the 1/4 of realistic model is analyzed, i.e. set up the 1/2 of upper roller axially, Material properties axially and 1/2 thickness of rolled piece and the FEM (finite element) model of 1/2 width, and is added in the 1/2 of upper backup roll, carries out Reasonably constraint;
(2) when calculating Coefficient of Roll Temperature Field, it is considered to the transmission of heat by contact between high temperature rolled piece and roll, the convection current of cooling system Heat radiation and the aerial heat radiation of roll, utilize the rotary simulation operation of rolling roll mechanical periodicity of roll model coordinate systems Heat exchanging process, it is ensured that the precision of model;
(3) between roll model and rolled piece model, roll model and support roller former, contact is set, according to rolling respectively Technological parameter is that rolled piece arranges drafts, linear velocity, adds angular velocity for roll.
Set up the fatigue life prediction model of roll, thermosetting coupling model meter need to be extracted in conjunction with rolling system thermosetting coupling model The load information obtained, and add the S-N curve of roll material.
2. choose multiple roll coolant system technological parameter as optimized variable, and determine its design space and optimization aim, Extract test sample point, and be calculated roll working cycle response value by model in step 1.
In the present invention, with certain cut deal volume factory rolling cooling system in be available for adjust cooling water pressure, cooling water temperature and Cooling water jet density is as optimized variable.It is understood that except this three, it is also possible to select other cooling technique ginseng Number, as optimized variable, is only to carry out example with cooling water pressure, cooling water temperature and cooling water jet density in the present invention Property explanation, not limitation of the present invention.
Heretofore described optimization aim refers to that the roll working cycle before germinating fatigue crack is the longest.
Design space in invention refer to as optimized variable cooling technological parameter excursion, choose cooling water pressure, Cooling water temperature and cooling water jet density are investigation factor, with the working cycle before roll germinating fatigue crack as evaluation index, Carry out single factor experiment, determine the design space of each optimized variable, as shown in table 1.
The design space of table 1 optimized variable
The present invention has 3 to optimize design variable, chooses 17 test sample points by non-linear test design method, wherein Comprise 5 central points.The test sample chosen point is substituted into the model set up in step 1 and is calculated response value, response value Calculating include:
(1) use finite element analysis software that test sample point is carried out thermosetting coupling analysis, extract key position node Stress state;
(2) based on finite element analysis of fatigue software, roll is carried out analysis of Fatigue-life, obtain roll at germinating fatigue crack The front working cycle is response value.
The response value result of calculation of test sample point is as shown in table 2.
The response value of table 2 test sample point
3., according to response value calculated in step 2, set up the two of the reflection input roll working cycle with output relation Rank response surface model.
The present invention chooses second-order response surface model and carries out the optimization design of roll coolant system technological parameter.By cooling system technique Parameter as output variable, carries out multiple regression matching to calculation result data as input variable, roll working cycle, Working cycle before roll germinating fatigue crack is many to the secondary of cooling water pressure, cooling water temperature and cooling water jet density Item formula regression model is:
y = 50012 + 187 X 1 + 558.88 X 2 + 1111.38 X 3 - 427.5 X 1 X 2 + 75.5 X 1 X 3 + 547.75 X 2 X 3 - 703.88 X 1 2 - 1415.63 X 2 2 - 1006.12 X 3 2
In formula: y is the roll working cycle;X1For cooling water pressure;X2For jet density;X3For cooling water pressure.
4., according to response surface model, determine the roll cooling process parameter value when roll working cycle is the longest, and optimization is tied Fruit is brought fatigue life prediction model into and carries out analysis of fatigue, the reliability of checking cooling system process parameter optimizing design.
On the basis of the second-order response surface model that step 3 is set up, use canonical tanalysis method that model is optimized, permissible Obtain 1 group or several groups solution meeting canonical algorithm, all solutions contain optimal solution, that group that Response to selection variable is maximum Solution be rolling the working cycle the longest time cooling process parameter value.
Optimize, in order to verify, the result obtained, re-establish roll thermosetting coupling model and fatigue life prediction model, contrast cold But analysis of Fatigue-life result before and after process parameter optimizing, if the cooling technological parameter after You Huaing can significantly extend roll Working cycle, then meet requirement, optimize and terminate and export optimum results, otherwise, rebuild the response surface, continue to optimize.
Before optimization, in actual production process in cooling system cooling water pressure be 1.1MPa, jet density 0.04L/min/mm2、 Cooling water temperature is 30 DEG C, and the working cycle before roll crack initiation is 13.33 hours.And after optimizing, cooling water pressure 1.21MPa, jet density 0.08L/min/mm2, cooling water temperature be 8.38 DEG C, the roll working cycle is 14.82 hours, Improve 11.2%.
Whole optimization process is as shown in Figure 2.
Below only the present invention preferably example is described, but is not to be construed as limitations on claims.The present invention is not Being limited only to above example, its concrete optimized variable allows to change.In a word, all protections in independent claims of the present invention In the range of the various changes made the most within the scope of the present invention.
Part that the present invention does not relate to is the most same as the prior art maybe can use prior art to be realized.

Claims (10)

1. a roll coolant system process parameter optimizing method based on response surface model, it is characterised in that comprise the steps:
(1) thermosetting coupling model and the fatigue life prediction model of object roll of optimization object hot rolling system are set up;
(2) choose multiple roll coolant system technological parameter as optimized variable, and determine its design space and optimization aim, Extract test sample point, and be calculated roll working cycle response value by model in step (1);
(3) according to calculated response value in step (2), the roll working cycle of reflection input and output relation is set up Second-order response surface model;
(4) according to response surface model, determine the roll cooling process parameter value when roll working cycle is the longest, and will optimize Result is brought fatigue life prediction model into and is carried out analysis of fatigue, verifies cooling system technological parameter, until the technique obtaining optimum Parameter.
Method the most according to claim 1, it is characterised in that: set up optimization object hot rolling system described in step (1) The thermosetting coupling model of system, comprises the steps:
(1) consider the symmetry of rolling system, the 1/4 of realistic model is analyzed, i.e. set up the 1/2 of upper roller axially, Material properties axially and 1/2 thickness of rolled piece and the FEM (finite element) model of 1/2 width, and is added in the 1/2 of upper backup roll, setting Constraint;
(2) when calculating Coefficient of Roll Temperature Field, it is considered to the transmission of heat by contact between high temperature rolled piece and roll, the convection current of cooling system Heat radiation and the aerial heat radiation of roll, utilize the rotary simulation operation of rolling roll mechanical periodicity of roll model coordinate systems Heat exchanging process, to ensure the precision of model;
(3) between roll model and rolled piece model, roll model and support roller former, contact is set, according to rolling respectively Technological parameter is that rolled piece arranges drafts, linear velocity, adds angular velocity for roll.
Method the most according to claim 1, it is characterised in that: the fatigue life prediction setting up roll described in step (1) Model, to calculate the time of roll fatigue crack initiation;Need to be in conjunction with rolling system heat when setting up roll fatigue life prediction model Gu coupling model, and add the S-N curve of roll material.
Method the most according to claim 1, it is characterised in that: it is raw that the optimized variable described in step (2) refers to combine rolling Produce field condition and cooling system technological parameter controlled in the operation of rolling.
Method the most according to claim 1, it is characterised in that: the design space of the optimized variable described in step (2) refers to Contain the parameter variation range of optimum cooling technological parameter.
Method the most according to claim 1, it is characterised in that: the optimization aim described in step (2) refers to that roll is in germinating Before fatigue crack, the roll working cycle is the longest.
Method the most according to claim 1, it is characterised in that: the test sample of the analysis of Fatigue-life described in step (2) Point is to determine rational testing site according to non-linear test design method.
Method the most according to claim 1, it is characterised in that the calculating of the response value described in step (2) includes:
(1) use finite element analysis software that test sample point is carried out thermosetting coupling analysis, extract key position node Stress state;
(2) based on finite element analysis of fatigue software, roll is carried out analysis of Fatigue-life, obtain roll at germinating fatigue crack The front working cycle is response value.
Method the most according to claim 1, it is characterised in that: for the second order of n design variable in step (3) Response surface model is expressed as:
y = β 0 + Σ i = 1 n β i X i + Σ j = 2 n Σ i = 1 j β i j X i X j
In formula: y is the output variable roll working cycle;XiTechnological parameter is cooled down for design variable;N is design variable Number;β is undetermined coefficient, least square fitting obtain.
Method the most according to claim 1, it is characterised in that: the response surface that step (4) is built by step (3), Roll cooling process parameter value when the acquisition roll working cycle is the longest, using optimum results as fatigue life prediction model border Condition carries out analysis of fatigue, and contrast cools down analysis of Fatigue-life result before and after process parameter optimizing, if the cooling technique after You Huaing Parameter can significantly extend the working cycle of roll, then meet requirement, optimizes and terminates and export optimum results, otherwise, again Build the response surface, continue to optimize.
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Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112926146A (en) * 2021-01-22 2021-06-08 北京科技大学 Online fatigue prediction method and system for cold-rolled roller
CN112950071A (en) * 2021-03-30 2021-06-11 北京瑞莱智慧科技有限公司 Training method of process parameter adjustment model, and process parameter adjustment method and device
CN113704869A (en) * 2021-07-20 2021-11-26 深圳市万泽航空科技有限责任公司 Optimal design method for casting process of flame stabilizer
CN114155623A (en) * 2021-11-26 2022-03-08 湖南华菱湘潭钢铁有限公司 On-line calculation method for fatigue life of rolling mill coupling

Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103366043A (en) * 2013-05-31 2013-10-23 天津大学 Three-point support optimization design method of machine tool bed based on response surface model
CN104573247A (en) * 2015-01-11 2015-04-29 吉林大学 Optimizing method of simplified model cooling structure of transition section

Patent Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103366043A (en) * 2013-05-31 2013-10-23 天津大学 Three-point support optimization design method of machine tool bed based on response surface model
CN104573247A (en) * 2015-01-11 2015-04-29 吉林大学 Optimizing method of simplified model cooling structure of transition section

Non-Patent Citations (3)

* Cited by examiner, † Cited by third party
Title
夏玉峰 等: "基于响应面法的钩尾框渐进弯热曲工艺多目标优化", 《中南大学学报(自然科学版)》 *
李智 等: "轧辊热力耦合分析及疲劳寿命研究", 《热加工工艺》 *
杨阳 等: "热轧辊表面疲劳寿命研究", 《热加工工艺》 *

Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112926146A (en) * 2021-01-22 2021-06-08 北京科技大学 Online fatigue prediction method and system for cold-rolled roller
CN112926146B (en) * 2021-01-22 2022-08-09 北京科技大学 Online fatigue prediction method and system for cold-rolled roller
CN112950071A (en) * 2021-03-30 2021-06-11 北京瑞莱智慧科技有限公司 Training method of process parameter adjustment model, and process parameter adjustment method and device
CN113704869A (en) * 2021-07-20 2021-11-26 深圳市万泽航空科技有限责任公司 Optimal design method for casting process of flame stabilizer
CN114155623A (en) * 2021-11-26 2022-03-08 湖南华菱湘潭钢铁有限公司 On-line calculation method for fatigue life of rolling mill coupling
CN114155623B (en) * 2021-11-26 2023-07-28 湖南华菱湘潭钢铁有限公司 Online calculation method for fatigue life of rolling mill coupler

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