CN105956326B - Roll coolant system process parameter optimizing method based on response surface model - Google Patents
Roll coolant system process parameter optimizing method based on response surface model Download PDFInfo
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- CN105956326B CN105956326B CN201610349243.5A CN201610349243A CN105956326B CN 105956326 B CN105956326 B CN 105956326B CN 201610349243 A CN201610349243 A CN 201610349243A CN 105956326 B CN105956326 B CN 105956326B
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- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
- G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
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- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
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- G06F30/36—Circuit design at the analogue level
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Abstract
A kind of roll coolant system process parameter optimizing method based on response surface model, which is characterized in that include the following steps:(1)Establish the fatigue life prediction model of the thermosetting coupling model and object roll of optimization object hot rolling system;(2)Multiple roll coolant system technological parameters variable as an optimization is chosen, and determines its design space and optimization aim, test sample point is extracted, roll work period response is calculated;(3)According to obtained response, the second-order response surface model of reflection input and the roll work period of output relation is established;(4)Surface model according to response determines roll cooling technique parameter value when roll work period longest, and brings optimum results into fatigue life prediction model and carry out analysis of fatigue, cooling system technological parameter is verified, until obtaining optimal technological parameter.The present invention has higher reliability, applicability and operability, can effectively improve the roller part fatigue life in using hot rolling technology.
Description
Technical field
The present invention relates to a kind of mechanical manufacturing technology, especially a kind of Roller Machining technology, specifically one kind is based on
The roll coolant system process parameter optimizing method of response surface model.It is particularly suitable for various roll cooling system in the operation of rolling
The technological parameter of system optimizes.
Background technology
It is well known that expendable part of the roll as the operation of rolling, expensive, by complicated severe periodical alternation
Stress, including thermal stress, rolling stress, reaction of bearing etc., surface is also easy to produce fatigue crack, seriously affects product quality.Currently,
Each shift (8 hours) of general cut deal volume factory will carry out reconditioning to roll.It is a kind of practical it is therefore desirable to propose
, the actually active method for improving roll campaign.
In the roll operation of rolling, the cooling effect of cooling water has roller surface temperature field and Stress Field Distribution important
Influence, have large effect to the fatigue life of roll.It thus can be (including cold by cooling technique parameter to cooling system
But water pressure, jet angle, water temperature, jet density etc.) optimization, improve the fatigue life of roll.And it is traditional for the parameter
Optimum design method mainly determines the optimal solution range of optimised parameter by single factor experiment, this method be difficult search out by
The concrete numerical value of Optimal Parameters cannot meet actual production demand.It is therefore proposed that a kind of roll cooling based on response surface model
System process parameters optimum design method solves the problems, such as to determine optimal cooling technique parameter exact value.
Invention content
The purpose of the present invention is mainly pass through single factor test for the optimum design method of existing roll cooling technique parameter
Experiment determines that the optimal solution range of optimised parameter cannot meet practical life it is difficult to search out the concrete numerical value of optimised parameter
The problem of production demand, invents a kind of roll coolant system process parameter optimizing method based on response surface model, to improve roll
Fatigue life.
The technical scheme is that:
A kind of roll coolant system process parameter optimizing method based on response surface model, which is characterized in that including as follows
Step:
(1) the thermosetting coupling model of optimization object hot rolling system and the fatigue life prediction mould of object roll are established
Type;
(2) multiple roll coolant system technological parameters variable as an optimization is chosen, and determines its design space and optimization mesh
Mark extracts test sample point, and roll work period response is calculated by model in step (1);
(3) according to the response being calculated in step (2), the roll work period of reflection input and output relation is established
Second-order response surface model;
(4) surface model according to response determines roll cooling technique parameter value when roll work period longest, and will optimization
As a result it brings fatigue life prediction model into and carries out analysis of fatigue, cooling system technological parameter is verified, until obtaining optimal technique
Parameter.
Wherein:
The thermosetting coupling model for establishing optimization object hot rolling system described in step (1), includes the following steps:
1) symmetry for considering rolling system, is analyzed the 1/4 of realistic model, that is, establish upper roller it is 1/2 axial, on
The finite element model of 1/2 axial direction of support roller and 1/2 thickness of rolled piece and 1/2 width, and added material attribute, setting constraint;
2) when calculating Coefficient of Roll Temperature Field, consider the convection current of the transmission of heat by contact, cooling system between high temperature rolled piece and roll
Heat dissipation 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) contact is set between roll model and rolled piece model, roll model and support roller former respectively, according to rolling
Technological parameter is that drafts, linear velocity is arranged in rolled piece, and angular speed is added for roll.
The fatigue life prediction model for establishing roll described in step (1), with calculate roll fatigue crack initiation when
Between;Need to be in conjunction with rolling system thermosetting coupling model when establishing roll fatigue life prediction model, and add the stress-of roll material
Life curve.
Optimized variable described in step (2) refers in conjunction with Rolling Production field condition and controllable during the rolling process
Cooling system technological parameter.
The design space of optimized variable described in step (2) refers to the Parameters variation for containing optimal cooling technique parameter
Range.
Optimization aim described in step (2) refers to roll roll work period longest before germinating fatigue crack.
The test sample point of analysis of Fatigue-life described in step (2) is to be determined to close according to non-linear test design method
The testing site of reason.
The calculating of response described in step (2) includes:
1) it uses finite element analysis software to carry out thermosetting coupling analysis to test sample point, extracts key position node
Stress state;
2) it is based on finite element analysis of fatigue software and analysis of Fatigue-life is carried out to roll, obtain roll in germinating fatigue crack
The preceding work period is response.
The second-order response surface model of n design variable is expressed as in step (3):
In formula:Y is output variable-roll work period;XiFor design variable-cooling technique parameter;N is design variable
Number;β is undetermined coefficient, is obtained by least square fitting.
The response surface built by step (3) described in step (4), roll when obtaining roll work period longest are cold
But process parameter value carries out analysis of fatigue using optimum results as fatigue life prediction model boundary condition, compares cooling technique
If analysis of Fatigue-life before and after parameter optimization is as a result, the cooling technique parameter after optimization can significantly extend the work week of roll
Phase then meets the requirements, and optimization terminates and exports optimum results, otherwise, rebuilds response surface, continues 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, is improved
The optimization efficiency and precision of cooling technique parameter, pass through the optimization design of cooling system technological parameter, it is possible to increase the work of roll
Period effectively prolongs the service life.Solve and be difficult to ensure the problems such as result is accurate and optimal in existing optimisation technique, have compared with
High reliability, applicability and operability.
Description of the drawings
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.
Specific implementation mode
The present invention is further illustrated with reference to the accompanying drawings and examples.
As shown in Figs. 1-2.
A kind of roll coolant system process parameter optimizing method based on response surface model, includes the following steps:
1. establishing the thermosetting coupling model of optimization object hot rolling system (as shown in Figure 1) and the tired longevity of object roll
Order prediction model.
The step of thermosetting coupling model for establishing optimization object hot rolling system is:
(1) symmetry for considering rolling system, is analyzed the 1/4 of realistic model, that is, establish upper roller it is 1/2 axial,
The finite element model of 1/2 axial direction of upper backup roll and 1/2 thickness of rolled piece and 1/2 width, and added material attribute, it is reasonable to carry out
Constraint;
(2) when calculating Coefficient of Roll Temperature Field, consider the convection current of the transmission of heat by contact, cooling system between high temperature rolled piece and roll
Heat dissipation 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, ensure that the precision of model;
(3) contact is set between roll model and rolled piece model, roll model and support roller former respectively, according to rolling
Technological parameter is that drafts, linear velocity is arranged in rolled piece, and angular speed is added for roll.
The fatigue life prediction model of roll is established, thermosetting coupled mode need to be extracted in conjunction with rolling system thermosetting coupling model
The load information that type is calculated, and add the S-N curve of roll material.
2. choosing multiple roll coolant system technological parameters variable as an optimization, and determine its design space and optimization mesh
Mark extracts test sample point, and roll work period response is calculated by model in step 1.
In the present invention, with cooling water pressure, the coolant water temperature for adjustment in certain cut deal volume factory rolling cooling system
Degree and cooling water jet density variable as an optimization.It is understood that in addition to this three, other cooling techniques can also be selected
Parameter variable as an optimization is only to be shown with cooling water pressure, cooling water temperature and cooling water jet density in the present invention
Example property explanation, not limitation of the present invention.
Heretofore described optimization aim refers to work period longest of the roll before germinating fatigue crack.
Design space in invention refers to the variation range of the cooling technique parameter of variable as an optimization, chooses cooling water pressure
Power, cooling water temperature and cooling water jet density are investigation factor, and it is evaluation to germinate the work period before fatigue crack with roll
Index carries out single factor experiment, determines the design space of each optimized variable, as shown in table 1.
The design space of 1 optimized variable of table
The present invention has 3 optimization design variables, and 17 test sample points are chosen by non-linear test design method, wherein
Including 5 central points.The test sample point of selection is substituted into the model established in step 1, response is calculated, response
Calculating includes:
(1) it uses finite element analysis software to carry out thermosetting coupling analysis to test sample point, extracts key position node
Stress state;
(2) it is based on finite element analysis of fatigue software and analysis of Fatigue-life is carried out to roll, obtain roll and split in germinating fatigue
Work period before line is response.
The response result of calculation of test sample point is as shown in table 2.
The response of 2 test sample point of table
3. according to the response being calculated in step 2, reflection input and the roll work period of output relation are established
Second-order response surface model.
The present invention chooses the optimization design that second-order response surface model carries out roll coolant system technological parameter.By cooling system
Technological parameter carries out multiple regression fitting as input variable, roll work period as output variable, to calculation result data,
The work period before roll germinating fatigue crack is obtained to the secondary of cooling water pressure, cooling water temperature and cooling water jet density
Polynomial regression model is:
In formula:Y is the roll work period;X1For cooling water pressure;X2For jet density;X3For cooling water pressure.
4. surface model according to response determines roll cooling technique parameter value when roll work period longest, and will optimization
As a result it brings fatigue life prediction model into and carries out analysis of fatigue, the reliability of verification cooling system process parameter optimizing design.
On the basis of the second-order response surface model that step 3 is established, model is optimized with canonical tanalysis method, it can be with
1 group or several groups of solutions for meeting canonical algorithm are obtained, optimal solution, that maximum group solution of Response to selection variable are contained in all solutions
As roll cooling technique parameter value when work period longest.
It is right in order to verify that optimization obtains as a result, re-establishing roll thermosetting coupling model and fatigue life prediction model
Than analysis of Fatigue-life before and after cooling technique parameter optimization as a result, being rolled if the cooling technique parameter after optimization can significantly extend
It the work period of roller, then meets the requirements, optimization terminates and exports optimum results, otherwise, rebuilds response surface, continues to optimize.
Before optimization, cooling water pressure is 1.1MPa, jet density 0.04L/min/ in cooling system in actual production process
mm2, cooling water temperature be 30 DEG C, the work period 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 work period be 14.82 hours, improve
11.2%.
Entire optimization process is as shown in Figure 2.
Only just the present invention preferably example is described above, but is not to be construed as limiting the scope of the invention.This hair
Bright to be not only limited to above example, specific optimized variable is allowed to vary.In short, all guarantors in independent claims of the present invention
Various change is within the scope of the invention made by shield range.
Part that the present invention does not relate to is the same as those in the prior art or can be realized by using the prior art.
Claims (9)
1. a kind of roll coolant system process parameter optimizing method based on response surface model, which is characterized in that including walking as follows
Suddenly:
(1) fatigue life prediction model of the thermosetting coupling model and object roll of optimization object hot rolling system is established;
(2) multiple roll coolant system technological parameters variable as an optimization is chosen, and determines its design space and optimization aim, is carried
Test sample point is taken, and roll work period response is calculated by model in step (1);
(3) according to the response being calculated in step (2), reflection input and the two of the roll work period of output relation is established
Rank response surface model;
(4) surface model according to response, determines roll cooling technique parameter value when roll work period longest, and by optimum results
It brings fatigue life prediction model into and carries out analysis of fatigue, cooling system technological parameter is verified, until obtaining optimal technological parameter;
The thermosetting coupling model for establishing optimization object hot rolling system includes the following steps:
1) symmetry for considering rolling system, is analyzed the 1/4 of realistic model, that is, establishes 1/2 axial, upper support of upper roller
The finite element model of 1/2 axial direction of roller and 1/2 thickness of rolled piece and 1/2 width, and added material attribute, setting constraint;
2) when calculating Coefficient of Roll Temperature Field, the heat loss through convection of transmission of heat by contact, cooling system between consideration high temperature rolled piece and roll
And the aerial heat radiation of roll, utilize the heat of the rotary simulation operation of rolling roll mechanical periodicity of roll model coordinate systems
Exchange process, to ensure the precision of model;
3) contact is set between roll model and rolled piece model, roll model and support roller former respectively, according to rolling mill practice
Parameter is that drafts, linear velocity is arranged in rolled piece, and angular speed is added for roll.
2. according to the method described in claim 1, it is characterized in that:The fatigue life prediction for establishing roll described in step (1)
Model, to calculate the time of roll fatigue crack initiation;It need to be in conjunction with rolling system heat when establishing roll fatigue life prediction model
Gu coupling model, and add the S-N curve of roll material.
3. according to the method described in claim 1, it is characterized in that:Optimized variable described in step (2) refers to combining rolling life
Produce field condition and cooling system technological parameter controllable during the rolling process.
4. according to the method described in claim 1, it is characterized in that:The design space of optimized variable described in step (2) refers to
Contain the parameter variation range of optimal cooling technique parameter.
5. according to the method described in claim 1, it is characterized in that:Optimization aim described in step (2) refers to that roll is germinating
Roll work period longest before fatigue crack.
6. according to the method described in claim 1, it is characterized in that:The test sample of analysis of Fatigue-life described in step (2)
Point is to determine rational testing site according to non-linear test design method.
7. according to the method described in claim 1, it is characterized in that, the calculating of the response described in step (2) includes:
(1) it uses finite element analysis software to carry out thermosetting coupling analysis to test sample point, extracts answering for key position node
Power state;
(2) it is based on finite element analysis of fatigue software and analysis of Fatigue-life is carried out to roll, obtain roll before germinating fatigue crack
Work period be response.
8. according to the method described in claim 1, it is characterized in that:For the second-order response surface of n design variable in step (3)
Model is expressed as:
In formula:Y is output variable-roll work period;XiFor design variable-cooling technique parameter;N is of design variable
Number;β is undetermined coefficient, is obtained by least square fitting.
9. according to the method described in claim 1, it is characterized in that:The response surface that step (4) is built by step (3) obtains
Roll cooling technique parameter value when roll work period longest, using optimum results as fatigue life prediction model boundary condition
Carry out analysis of fatigue, if comparison cooling technique parameter optimization before and after analysis of Fatigue-life as a result, optimization after cooling technique parameter
It the work period that roll can significantly be extended, then meets the requirements, optimization terminates and exports optimum results, otherwise, rebuilds sound
Face is answered, continues to optimize.
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