CN110008631B - Parameter simulation method and verification method in copper pipe rolling and cooling processes - Google Patents

Parameter simulation method and verification method in copper pipe rolling and cooling processes Download PDF

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CN110008631B
CN110008631B CN201910312396.6A CN201910312396A CN110008631B CN 110008631 B CN110008631 B CN 110008631B CN 201910312396 A CN201910312396 A CN 201910312396A CN 110008631 B CN110008631 B CN 110008631B
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copper pipe
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韩毅
张晓波
杨蕾
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Shandong Xinchuang Information Technology Service Co ltd
Laser Institute of Shandong Academy of Science
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Abstract

The invention discloses a parameter simulation method and a verification method thereof in copper pipe rolling and cooling processes, and belongs to the field of metal manufacturing research. The invention aims to check the temperature change process (namely the thermal cycle curve) of a corresponding position by acquiring the grain size and distribution condition of a certain position of the copper pipe fitting in the rolling and cooling processes. A numerical simulation model is established by using ABAQUS, a thermal simulation experiment is carried out on the copper pipe fitting according to a thermal cycle curve obtained by numerical simulation, a metallographic experiment is carried out on the copper pipe fitting after the thermal simulation, the metallographic structure of a finished copper pipe fitting product and a test copper pipe fitting sample is analyzed by comparison, the accuracy of the numerical simulation is indirectly verified, a corresponding parameter simulation method is obtained, and even the temperature field distribution condition of a rolled piece is indirectly obtained by the simulation method.

Description

Parameter simulation method and verification method in copper pipe rolling and cooling processes
Technical Field
The invention belongs to the field of metal manufacturing research, and relates to a parameter simulation method and a verification method thereof in copper pipe rolling and cooling processes.
Background
In the actual production process of copper pipe rolling and cooling, in order to ensure production safety, a rolling mill is a closed working space, in order to prevent the rolled piece from being oxidized in the air after extending out of a rolling head to cause non-bright surface, a cooling water jacket is also a closed space, and in addition, the rolled piece is a moving process in the whole rolling and cooling process, so that the temperature distribution of the rolled piece in the rolling and cooling process is difficult to directly measure through a temperature measurement experiment; comparative analysis cannot be performed directly.
Disclosure of Invention
The invention provides a method for simulating parameters in the process of rolling and cooling a copper pipe and a verification method thereof, aiming at verifying the temperature change process (namely a thermal cycle curve) of a corresponding position by acquiring the size and distribution condition of crystal grains at a certain position of the copper pipe in the process of rolling and cooling. A numerical simulation model is established by using ABAQUS, a thermal simulation experiment is carried out on the copper pipe fitting according to a thermal cycle curve obtained by numerical simulation, a metallographic experiment is carried out on the copper pipe fitting after the thermal simulation, the metallographic structure of a finished copper pipe fitting product and a test copper pipe fitting sample is analyzed by comparison, the accuracy of the numerical simulation is indirectly verified, a corresponding parameter simulation method is obtained, and even the temperature field distribution condition of a rolled piece is indirectly obtained by the simulation method.
The invention is realized by the following technical scheme: a verification method for parameter simulation in copper pipe rolling and cooling processes is characterized by comprising the following steps:
step 1, parameter acquisition
Obtaining a finished copper pipe fitting product after rolling and cooling processes, carrying out a metallographic experiment to determine the grain size alpha 1 of the finished copper pipe fitting product, and obtaining factory production process parameters of the finished copper pipe fitting product in the rolling and cooling processes;
step 2, establishing a simulation model
According to the parameters obtained in the step 1, establishing a simulation model in the rolling and cooling processes on ABAQUS, and determining simulation parameters;
step 3, simulation process
Selecting a copper pipe fitting test product, carrying out a thermal simulation test according to a thermal cycle curve obtained by simulation of the simulation model established in the step 2, and then carrying out a metallographic test to determine the grain size alpha 2 of the copper pipe fitting test product;
step 4, verification process
Setting grain tolerance rate, comparing the grain size alpha 1 in the step 1 with the grain size alpha 2 in the step 3, comparing the error with the grain tolerance rate, and if the error is smaller than the grain tolerance rate, proving that the simulation model and the simulation parameters are accurate; if the error is larger than the grain tolerance rate, the simulation model and/or the simulation parameters are proved to be inaccurate.
The technical scheme is that copper pipe processing is required to be carried out on the copper pipe in the metallographic experiment, the structure picture of the copper pipe is observed and shot, whether the metallographic structure distribution is reasonable or not is judged, if the tissue distribution of the copper pipe is unreasonable, the copper pipe processing is carried out again, the picture of the structure is observed and shot again, and if the tissue distribution of the copper pipe is reasonable, a grain size measurement line segment is designated and the grain linear density is calculated.
The copper pipe processing comprises the steps of polishing the plane of the copper pipe by using coarse sand paper and fine sand paper, polishing the gold phase surface of the copper pipe by using a polishing machine until the gold phase surface of the copper pipe is bright like a copper mirror, and corroding the gold phase surface of the copper pipe by using a chemical reagent.
The invention also provides a technical scheme that: a method for parameter simulation in copper tube rolling and cooling processes is characterized in that: in the verification method for parameter simulation in the copper pipe rolling and cooling process, the simulation model and the simulation parameters in the simulation model are determined by comparing the error in the verification process with the set tolerance rate;
if the error is smaller than the grain tolerance rate, the simulation model and/or the simulation parameters are proved to be accurate; if the error is larger than the grain tolerance rate, the simulation model and/or the simulation parameters are proved to be inaccurate, then the simulation model and/or the simulation parameters are adjusted, the grain size of the copper pipe fitting test sample in the simulation process is obtained again, the verification process is carried out, and the verification process and the adjustment process are repeated and circulated until the simulation model and the simulation parameters are proved to be accurate in the verification process.
The further technical scheme is that the method comprises the following steps:
step 1, parameter acquisition
Obtaining a finished copper pipe fitting product after rolling and cooling processes, carrying out a metallographic experiment to determine the grain size alpha 1 of the finished copper pipe fitting product, and obtaining factory production process parameters of the finished copper pipe fitting product in the rolling and cooling processes;
step 2, establishing a simulation model
According to the parameters obtained in the step 1, establishing a simulation model in the rolling and cooling processes on ABAQUS, and determining simulation parameters;
step 3, simulation process
Selecting a copper pipe fitting sample, simulating according to the simulation model established in the step 2, and then performing a metallographic experiment to determine the grain size alpha 2 of the copper pipe fitting sample;
step 4, verification process
Setting grain tolerance ratio, comparing the grain size alpha 1 in the step 1 with the grain size alpha 2 in the step 3, comparing the error with the grain tolerance ratio, and if the error is smaller than the grain tolerance ratio, proving that the simulation model and the simulation parameters are accurate, and finishing the parameter simulation in the copper pipe rolling and cooling process by the method; if the error is larger than the grain tolerance rate, the simulation model and/or the simulation parameters are proved to be inaccurate, the simulation model and/or the simulation parameters in the step 2 are modified, and then the step 3-4 is carried out.
Due to the adoption of the technical scheme, the invention has the following beneficial effects: the invention utilizes the combination of the thermal simulation test and the metallographic test to analyze the microstructure of the copper pipe fitting, utilizes the copper pipe fitting finished product produced actually to compare with the copper pipe fitting test product of the simulation test, can easily verify the accuracy of the related simulation model, obtains the corresponding parameter simulation method, and indirectly obtains the temperature distribution of the copper pipe in the rolling and cooling process through the simulation method.
Drawings
FIG. 1 is a block diagram of a method flow for parameter simulation according to the present invention;
FIG. 2 is a block diagram of a process for grain size determination in the present invention;
FIG. 3 is a schematic view of the observation points of the finished copper pipe of the present invention;
FIG. 4 shows the microstructure of the observation point of the finished copper pipe of the present invention;
FIG. 5 is a schematic diagram of a line segment selection position for measuring grain size by intercept method according to the present invention;
FIG. 6 is a thermal cycle curve of simulated extraction points of copper pipe test articles according to the present invention;
FIG. 7 shows the microstructure of the observation point of the copper pipe test piece according to the present invention;
Detailed Description
The invention is further described in the following detailed description with reference to the drawings in which:
the invention discloses a verification method for parameter simulation in copper pipe rolling and cooling processes, which comprises the following steps:
step 1, parameter acquisition
Obtaining a finished copper pipe fitting product after rolling and cooling processes, carrying out a metallographic experiment to determine the grain size alpha 1 of the finished copper pipe fitting product, and obtaining factory production process parameters of the finished copper pipe fitting product in the rolling and cooling processes;
step 2, establishing a simulation model
According to the parameters obtained in the step 1, establishing a simulation model in the rolling and cooling processes on ABAQUS, and determining simulation parameters;
step 3, simulation process
Selecting a copper pipe fitting test product, carrying out a thermal simulation test according to a thermal cycle curve obtained by simulation of the simulation model established in the step 2, and then carrying out a metallographic test to determine the grain size alpha 2 of the copper pipe fitting test product;
step 4, verification process
Setting grain tolerance rate, comparing the grain size alpha 1 in the step 1 with the grain size alpha 2 in the step 3, comparing the error with the grain tolerance rate, and if the error is smaller than the grain tolerance rate, proving that the simulation model and the simulation parameters are accurate; if the error is larger than the grain tolerance rate, the simulation model and/or the simulation parameters are proved to be inaccurate.
In the embodiment of the invention, copper pipe processing needs to be carried out on the copper pipe fitting in the metallographic experiment, the structure picture of the copper pipe fitting is observed and shot, whether the metallographic structure distribution is reasonable or not is judged, if the tissue distribution of the copper pipe fitting is not reasonable, the copper pipe processing is carried out again, the picture of the structure is observed and shot again, and if the tissue distribution of the copper pipe fitting is reasonable, a grain size measurement line segment is designated and the linear density of grains is calculated.
In the embodiment of the invention, the copper pipe processing comprises the steps of polishing the plane of the copper pipe by using coarse sand paper and fine sand paper, polishing the gold phase surface of the copper pipe by using a polishing machine until the gold phase surface of the copper pipe is bright like a copper mirror, and corroding the gold phase surface of the copper pipe by using a chemical reagent.
The invention also discloses a method for simulating parameters in the copper pipe rolling and cooling processes, which is characterized in that in the verification method for simulating parameters in the copper pipe rolling and cooling processes, errors in the verification process are compared with a set tolerance rate to determine a simulation model and simulation parameters in the simulation model;
if the error is smaller than the grain tolerance rate, the simulation model and/or the simulation parameters are proved to be accurate; if the error is larger than the grain tolerance rate, the simulation model and/or the simulation parameters are proved to be inaccurate, then the simulation model and/or the simulation parameters are adjusted, the grain size of the copper pipe fitting test sample in the simulation process is obtained again, the verification process is carried out, and the verification process and the adjustment process are repeated and circulated until the simulation model and the simulation parameters are proved to be accurate in the verification process.
In the embodiment of the invention, a method for simulating parameters in copper pipe rolling and cooling processes comprises the following steps:
step 1, parameter acquisition
Obtaining a finished copper pipe fitting product after rolling and cooling processes, carrying out a metallographic experiment to determine the grain size alpha 1 of the finished copper pipe fitting product, and obtaining factory production process parameters of the finished copper pipe fitting product in the rolling and cooling processes;
step 2, establishing a simulation model
According to the parameters obtained in the step 1, establishing a simulation model in the rolling and cooling processes on ABAQUS, and determining simulation parameters;
step 3, simulation process
Selecting a copper pipe fitting sample, simulating according to the simulation model established in the step 2, and then performing a metallographic experiment to determine the grain size alpha 2 of the copper pipe fitting sample;
step 4, verification process
Setting grain tolerance ratio, comparing the grain size alpha 1 in the step 1 with the grain size alpha 2 in the step 3, comparing the error with the grain tolerance ratio, and if the error is smaller than the grain tolerance ratio, proving that the simulation model and the simulation parameters are accurate, and finishing the parameter simulation in the copper pipe rolling and cooling process by the method; if the error is larger than the grain tolerance rate, the simulation model and/or the simulation parameters are proved to be inaccurate, the simulation model and/or the simulation parameters in the step 2 are modified, and then the step 3-4 is carried out.
In the embodiments of the present invention, the present invention is further described with reference to the accompanying drawings. In the verification method, a factory-produced copper pipe member is prepared in advanceProduct of size phiOuter cover50mm×ΦInner part44.6mm, the selected position of the finished product is after the cast copper pipe is rolled and cooled by the water jacket; the copper pipe fitting sample subjected to simulation is a cast copper pipe blank with the size phiOuter cover90mm×ΦInner part40mm, wherein the sampling position of the test sample is just before the copper pipe casting blank is rolled out of the crystallizer, and the production process parameters of the copper pipe fitting test sample are consistent with the production process parameters of a copper pipe blank used by a copper pipe fitting finished product produced in a factory. Fig. 1 is a block diagram showing a flow chart of a verification method of numerical simulation in copper pipe rolling and cooling processes, which mainly comprises the following steps:
step 1, a metallographic specimen with the thickness of 5mm is cut from a copper pipe finished product by using a linear cutting method, and as cooling water is influenced by gravity and structural factors of a cooling water jacket in the cooling process of a copper pipe, different positions in the cooling water jacket have different cooling capacities on a rolled piece, the nonuniformity of the distribution of a temperature field obtained after the rolled piece is cooled by the cooling water jacket is caused, and the size and the distribution condition of crystal grains at a certain position of the rolled piece are closely related to the temperature change process (namely a thermal cycle curve) of the corresponding position of the rolled piece; therefore, six data points, namely a point 1, a point 4, a point 5, a point 8, a point 9 and a point 12, shown in figure 3 are selected as metallographic observation points on an axial middle plane of the metallographic specimen, coarse abrasive paper with the types of 500#, 800# and 1000# is adopted to perform coarse grinding on the metallographic surface of the metallographic specimen, fine abrasive paper with the types of 2000#, 2500# and 3000# is adopted to perform fine grinding on the metallographic surface of the metallographic specimen, the metallographic surface of the metallographic specimen is polished by using a mechanical polishing machine, the polishing standard is that the metallographic surface of the metallographic specimen is bright as a copper mirror, a hydrochloric acid aqueous solution with the mass fraction of 10% is selected to invade the metallographic surface of the metallographic specimen until a more ideal grain structure can be seen under the microscope, an Axionrt 200MAT type metallographic microscope is used to observe the six metallographic observation points, namely the point 1, the point 4, the point 5, the point 8, the point 9 and the point 12, and the metallographic observation points with reasonable distribution as shown in figure 4 are respectively taken, four line segments of L1, L2, L3 and L4 shown in FIG. 5 are specified in the rectangular metallographic field, and the average grain linear density alpha 1 on each section line at the corresponding position of the metallographic sample shown in Table 1 is calculated by using an intercept method respectively and is shown in Table 1;
step 2, acquiring factory production process parameters of finished copper pipe fittings, establishing a simulation model for copper pipe three-roller rolling and cooling on ABAQUS, inputting the parameters and carrying out dynamic simulation to obtain a temperature change cloud chart of the copper pipe fitting rolling and cooling process, respectively extracting temperature change curves of six metallographic observation points of a point 1, a point 4, a point 5, a point 8, a point 9 and a point 12, and giving out a thermal cycle curve of each metallographic observation point as shown in a figure 6;
step 3, selecting copper pipe fitting samples, respectively carrying out thermal simulation experiments on the copper pipe fitting samples according to the thermal cycle curves obtained in the step 2 by using a Gleeble thermal simulation machine, recording the copper pipe fitting samples simulated according to the thermal cycle curve of the point 1 as a test piece 1, recording the copper pipe fitting samples simulated according to the thermal cycle curve of the point 4 as a test piece 4, recording the copper pipe fitting samples simulated according to the thermal cycle curve of the point 5 as a test piece 5, recording the copper pipe fitting samples simulated according to the thermal cycle curve of the point 8 as a test piece 8, recording the copper pipe fitting samples simulated according to the thermal cycle curve of the point 9 as a test piece 9, recording the copper pipe fitting samples simulated according to the thermal cycle curve of the point 12 as a test piece 12, carrying out treatment and observation before the metallographic experiment on the six copper pipe fitting samples by referring to the method for treating the test samples in the step 1 and measuring the grain size, and shooting metallographic structure photos of the reasonably distributed grains as shown in, calculating the average grain linear density alpha 2 of each copper pipe fitting sample respectively as shown in table 1;
step 4, setting the grain size tolerance rate to be 10%, and calculating the error according to the average linear density of the crystal grains of the finished copper pipe fitting and the copper pipe test piece as shown in table 1;
TABLE 1 comparison of average linear density errors of grains for finished copper pipe and test copper pipe
Figure BDA0002031931950000091
Linear density PLThe calculation formula is shown as formula (1):
Figure BDA0002031931950000092
in the formula PL-number of grains per unit length, number/μm;
n is the number of crystal grains passed by the specified line segment;
l-length of the specified line segment, μm.
The calculation formula of the linear density error of the crystal grains is shown as the formula (2):
Figure BDA0002031931950000101
in the formula PFinished copper pipe fitting-average linear density of grains of the finished copper pipe, pieces/μm;
Pcopper pipe fitting test article-average linear density of grains of the copper pipe fitting sample, pieces/μm;
-grain linear density error.
The metallographic experimental result of the finished copper pipe fitting is shown in fig. 4, the point 9 on the outer surface along the circumferential direction of the rolled piece is the smallest crystal grain, the point 5 is the next point, and the point 1 is the largest crystal grain; point 12 on the inner surface of the workpiece has the smallest grain, followed by point 8, and the point where the grain is largest is point 4. The grain size of the point 1 at the upper part along the radial direction of the rolled piece is smaller than that of the point 4, the grain size of the point 5 at the middle part of the rolled piece is smaller than that of the point 8, and the grain size of the point 9 at the lower part of the rolled piece is smaller than that of the point 12. The metallographic experimental result of the copper pipe fitting test piece is shown in fig. 7, and it can be seen from fig. 7 that the grain structure obtained after the test piece 9 is subjected to thermal simulation has the best effect, the grains are fine and uniform, and the grain structure is similar to the grain structure at the point 9 in fig. 4 in size; the grain structure of the test piece 5 is only second to that of the test piece 9, and is similar to the grain structure at the point 5 in FIG. 4 in size; the grain structure of the test piece 4 obtained by thermal simulation has the worst effect, and the grain structure is the thickest, which is similar to the grain structure at the point 4 in fig. 4. From the results of thermally simulating the microstructure of the test piece, it is apparent that the grain structures of the test pieces 1, 8 and 12 in fig. 7 gradually become coarse, and the grain structure sizes thereof correspond to the point 1, the point 8 and the point 12 in fig. 4 in this order.
As can be seen from table 1, the maximum grain size error is 8.94%, which is less than 10% of the set volume difference, and the coincidence degree between the experimental measured result and the simulation result is high, which indicates that the method for verifying the numerical simulation result of the copper pipe rolling and cooling process by combining the deformation thermal simulation experiment and the metallographic analysis experiment of the microstructure is accurate compared with the method for actually producing the copper pipe, and the simulation experiment can be easily used to verify the temperature distribution of the copper pipe in the rolling process and the cooling process.

Claims (4)

1. A verification method for a parameter simulation method in copper pipe rolling and cooling processes is characterized by comprising the following steps:
step 1, parameter acquisition
Obtaining a finished copper pipe fitting product which is subjected to rolling and cooling processes, selecting six data points of a first point (1), a fifth point (5), a ninth point (9) on the outer surface and a fourth point (4), an eighth point (8) and a twelfth point (12) on the inner surface on an axial middle plane of a metallographic specimen as metallographic observation points, wherein the first point (1), the fourth point (4), the ninth point (9) and the twelfth point (12) are positioned in the longitudinal direction, the fifth point (5) and the eighth point (8) are positioned in the transverse direction, observing the six observation points of the first point (1), the fourth point (4), the fifth point (5), the eighth point (8), the ninth point (9) and the twelfth point (12) by using a metallographic microscope respectively, shooting metallographic grain structure photographs with reasonable distribution, and calculating by using a intercept method in a rectangular metallographic field to obtain the average grain linear density alpha 1 on each transversal line at the corresponding position of the metallographic specimen, and acquiring factory production process parameters of the finished copper pipe fitting in the rolling and cooling processes;
step 2, establishing a simulation model
According to the parameters obtained in the step 1, establishing a simulation model in the rolling and cooling processes on ABAQUS, and determining simulation parameters; inputting parameters and carrying out dynamic simulation to obtain a temperature change cloud chart of the copper pipe fitting in the rolling and cooling processes, respectively extracting temperature change curves of six metallographic observation points including a first point (1), a fourth point (4), a fifth point (5), an eighth point (8), a ninth point (9) and a twelfth point (12), and giving out a thermal cycle curve of each metallographic observation point;
step 3, simulation process
Respectively carrying out thermal simulation experiments on the copper pipe fitting test products by using a Gleeble thermal simulation machine according to the thermal cycle curve obtained in the step 2, recording the copper pipe fitting test products simulated according to the thermal cycle curve of the first point (1) as a first test piece (1), recording the copper pipe fitting test products simulated according to the thermal cycle curve of the fourth point (4) as a fourth test piece (4), recording the copper pipe fitting test products simulated according to the thermal cycle curve of the fifth point (5) as a fifth test piece (5), recording the copper pipe fitting test products simulated according to the thermal cycle curve of the eighth point (8) as an eighth test piece (8), recording the copper pipe fitting test products simulated according to the thermal cycle curve of the ninth point (9) as a ninth test piece (9), recording the copper pipe fitting test products simulated according to the thermal cycle curve of the twelfth point (12) as a twelfth test piece (12), and carrying out treatment and observation on the six copper pipe fitting test products before the experiments by referring to the method for treating the metallographic samples and measuring the average grain line density in the step 1, shooting metallographic phase grain structure photos with reasonable distribution, and respectively calculating the average grain linear density alpha 2 of each copper pipe fitting sample;
step 4, verification process
Setting a grain tolerance rate, comparing errors of the average grain linear density alpha 1 in the step 1 and the average grain linear density alpha 2 in the step 3, comparing the errors with the grain tolerance rate, and if the errors are smaller than the grain tolerance rate, proving that the simulation model and the simulation parameters are accurate; if the error is larger than the grain tolerance rate, the simulation model and/or the simulation parameters are proved to be inaccurate.
2. A verification method for a parameter simulation method in the copper pipe rolling and cooling process according to claim 1, characterized in that: in the metallographic experiment, copper pipe processing needs to be carried out on the copper pipe fitting, the structure picture of the copper pipe fitting is observed and shot, whether the metallographic structure distribution is reasonable or not is judged, if the copper pipe fitting structure distribution is unreasonable, the copper pipe processing is carried out again, the structure picture is observed and shot again, and if the copper pipe fitting structure distribution is reasonable, a grain size measurement line segment is designated and the average grain linear density is calculated.
3. A verification method for a parameter simulation method in the copper pipe rolling and cooling process according to claim 2, characterized in that: the copper pipe processing comprises the steps of polishing the plane of the copper pipe by using coarse sand paper and fine sand paper, polishing the gold phase surface of the copper pipe by using a polishing machine, and corroding the gold phase surface of the copper pipe by using a chemical reagent.
4. A parameter simulation method in the copper pipe rolling and cooling process is characterized in that: in a verification method of a parameter simulation method in a copper pipe rolling and cooling process as claimed in any one of claims 1 to 3, if the error is greater than the grain tolerance, the simulation model and/or simulation parameters are proved to be inaccurate, the simulation model and/or simulation parameters in step 2 are modified, and then steps 3 to 4 are carried out.
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Address before: 066004 No. 438 west section of Hebei Avenue, seaport District, Hebei, Qinhuangdao

Patentee before: Yanshan University

TR01 Transfer of patent right
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Effective date of registration: 20221229

Address after: 272400 Shengxiang Town, the intersection of Chengxiang Avenue and Jiacheng Road, Jining Economic Development Zone, Jining City, Shandong Province

Patentee after: Shandong Xinchuang Information Technology Service Co.,Ltd.

Address before: No. 46, Haichuan Road, Liuhang Street, Jining High tech Zone, Shandong Province 272000

Patentee before: LASER INSTITUTE,SHANDONG ACADEMY OF SCIENCES

Effective date of registration: 20221229

Address after: No. 46, Haichuan Road, Liuhang Street, Jining High tech Zone, Shandong Province 272000

Patentee after: LASER INSTITUTE,SHANDONG ACADEMY OF SCIENCES

Address before: 272000 north of West 100m Road, Liangshan Industrial Park Management Committee, Liangshan County, Jining City, Shandong Province

Patentee before: Shandong Zhengyang Machinery Co.,Ltd.

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Application publication date: 20190712

Assignee: Shandong Ji'an Safety Technology Service Co.,Ltd.

Assignor: Shandong Xinchuang Information Technology Service Co.,Ltd.

Contract record no.: X2023980045738

Denomination of invention: A Parameter Simulation Method and Verification Method for Copper Tube Rolling and Cooling Process

Granted publication date: 20201124

License type: Common License

Record date: 20231114