CN115906561A - Flash butt welding online monitoring and quality evaluation method and device based on process parameters - Google Patents
Flash butt welding online monitoring and quality evaluation method and device based on process parameters Download PDFInfo
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Abstract
The invention relates to a flash butt welding online monitoring and quality evaluation method and device based on process parameters, and belongs to the field of flash butt welding joint quality detection and evaluation. The method comprises the steps of parameter acquisition and processing, rapid modeling and simulation calculation and automatic evaluation of welding quality. In the flash butt welding process, the method captures the welding current, voltage, displacement and other process parameters in real time through a parameter acquisition and processing subsystem, and quickly establishes a numerical simulation model of a butt welding workpiece by taking the parameters as input conditions, and calculates the temperature distribution of the butt welding region of the workpiece; and matching and calculating the simulation result and the standard temperature model through a special algorithm, and finally carrying out online evaluation on the flash butt welding quality by taking the similarity as an index. The detection accuracy is improved, the detection cost is reduced, and workpieces with poor joint quality can be accurately screened.
Description
Technical Field
The invention relates to the field of flash butt welding numerical simulation, in particular to the field of detection and evaluation of the quality of a flash butt welding joint, and particularly relates to a method and a device for online monitoring and quality evaluation of flash butt welding based on process parameters.
Background
The flash butt welding technology has the advantages of short time required by the welding process, good joint quality, no need of adding extra welding materials and the like, so the flash butt welding technology is widely applied to the production process of the automobile rim.
The basic principle of flash butt welding is the coupling of three fields of electricity, heat and force, and the workpieces are assembled into butt joint mode by using the resistance heat generated by current passing through the workpieces and the end faces as heat source, and the whole end face quick connection method is realized under the combined action of heat, electricity and force. The basic process principle of flash butt welding is as follows: in the flash butt welding process, the work piece to be welded is connected in the secondary circuit of the transformer. One end of the metal plate is fixed on the fixed clamp, and the other end of the metal plate is clamped at the movable clamp. After the two end surfaces are contacted, resistance heat is generated under the action of current, and the contact point on the metal end surface is quickly burnt to form flash and splashed to the outside of the connector. Meanwhile, the moving clamp continuously increases the propelling speed along with the rise of the heating temperature to form flash, and meanwhile, the splashing process is more violent. When plastic layers of appropriate depths are formed at both ends of the joint, the physical properties of the joint may be greatly changed after welding is completed. If the parameters are selected too high or too low, obvious microcracks can appear on the welding joint, and great risk potential exists in the practical application process.
At present, the quality of a flash butt welding joint is generally evaluated by directly analyzing the joint by adopting a destructive experiment or evaluating process parameters on line. The method is characterized in that destructive experimental analysis is directly carried out on the joint, mechanical properties of the weldment are analyzed in modes of bending, stretching and the like, and whether the welding quality is qualified or not is further judged. In contrast, the joint quality can be evaluated by on-line monitoring of process parameters, parameter data can be provided for analyzing the welding quality problem, but the joint quality evaluation by the method does not take the temperature change of each influence area of the joint (the temperature of an interface area, a superheat area, a recrystallization area and an incomplete recrystallization area) into account, so the joint quality evaluation by the method also has careless mistakes. Therefore, the method of evaluating the quality of the joint using the temperature field of the welded joint becomes a key point for solving the problem.
Disclosure of Invention
The invention aims to provide a flash butt welding on-line monitoring and quality evaluation method and device based on process parameters, and solves the problems of low detection precision, low efficiency and the like in the traditional detection method. The invention realizes the real-time detection of the weld quality of the welding product and the welding process, and can give the result of the weld quality evaluation at the first time after the welding process is finished. The method mainly comprises the steps of parameter acquisition and processing, rapid modeling and simulation calculation and automatic evaluation of welding quality. In the flash butt welding process, the method captures the welding current, voltage, displacement and other process parameters in real time through a parameter acquisition and processing subsystem, quickly establishes a numerical simulation model of a butt welding workpiece by taking the parameters as input conditions, and calculates the temperature distribution of the workpiece butt-joint area; and matching calculation is carried out on the simulation result and the standard temperature model through an LCSS algorithm, and finally the flash butt welding quality is evaluated on line by taking the similarity as an index.
The above object of the present invention is achieved by the following technical solutions:
the flash butt welding on-line monitoring and quality evaluation method based on process parameters comprises the following steps:
step 1, firstly, continuously monitoring secondary current of a welding machine, voltage between a movable clamp and a fixed clamp and displacement signals of the movable clamp by adopting a Rogowski coil current sensor, an isolated Hall voltage sensor and a triangular laser displacement sensor; the real-time acquisition subsystem automatically judges the start and the end of the welding process according to the signal state and stores the instantaneous value of each sensing signal in the welding process in a memory in a time domain sequence mode; the data processing subsystem automatically calculates welding parameters to obtain welding parameters such as welding current, voltage effective value, instantaneous value, flash speed, displacement and the like;
step 2, the rapid modeling subsystem automatically generates a simulation model according to the workpiece size parameters (radius r, width w and thickness d) input by a user in the rapid finite element modeling module of the automobile rim and the material attributes selected in the Access material database, and the system automatically divides grids by taking the welding process parameters obtained by the data processing subsystem as input conditions, performs finite element simulation calculation on the welding heat generation of the workpiece, and obtains the temperature field of the workpiece intersection and the area nearby the workpiece intersection;
step 3, the quality evaluation subsystem automatically calculates the distribution characteristics such as the temperature peak value, the gradient and the change rate of the butt joint and the heat affected zone on the result of the numerical simulation of the temperature field of the workpiece; keeping temperature areas 50mm away from two sides of the butt joint in the numerical simulation result, intercepting ten parallel and equidistant temperature curves vertical to the butt joint direction and a preset standard temperature curve, performing similarity comparison by using a longest common subsequence (LCSS) algorithm, and finally evaluating the quality of a welded joint by taking the similarity as a basis;
3.1, the LCSS algorithm calculates the similarity of the two curves by a point matching method according to the longest public subsequence of the two curves; the maximum value of the result obtained by applying the LCSS algorithm is 1, the minimum value is 0, and the larger the numerical value is, the higher the similarity is;
3.2, the step of analyzing the similarity of the intercepted temperature peak curve and the ideal temperature peak curve by applying an LCSS algorithm comprises the following steps:
3.21、A＝[a1 ，a2，…，an]，B=[b1 ，b2 ，…，bm]
3.22 and A, B respectively represent two sequences, wherein A is an initially set ideal temperature curve, B is a temperature field curve obtained by numerical simulation, a and B are samples (points on the curve) in the sequences, and the number of the samples in each sequence is set as m and n; sequentially extracting k points from the sequence A, B to form sequences AK and BK respectively, so that Euclidean distances of the two points in the AK and BK are equal and smaller than a threshold value epsilon; the longest AK and BK are the longest common subsequence of the two groups of curves, and the similarity of the two curves can be obtained according to the formula;
3.3, the evaluation standard of the quality of the welding joint is as follows: if the similarity of more than or equal to eight temperature curves in the ten temperature curves for similarity comparison is more than or equal to 0.85 and the similarity result of the other temperature curves is more than or equal to 0.8, the quality evaluation subsystem evaluates the joint quality as qualified; if the similarity of more than or equal to one temperature curve is less than 0.8, the quality evaluation subsystem can evaluate the quality of the joint as unqualified.
The real-time acquisition subsystem acquires a moving clamp displacement signal in real time, judges that a welding process is about to start when the moving clamp displacement is increased, starts to acquire a secondary current of a welding machine and a voltage between a moving clamp and a fixed clamp by the real-time acquisition subsystem, and judges that the welding process starts when any one of the two signals rises to a critical value A suddenly; the real-time acquisition subsystem stores the instantaneous values of all the sensing signals in a memory in a time domain sequence mode in the welding process; the data processing subsystem automatically calculates welding parameters to obtain welding parameters such as welding current, voltage effective value, instantaneous value, flash speed, displacement and the like. When two signals of secondary current of the welding machine and voltage between the movable clamp and the fixed clamp are suddenly reduced to a critical value B, judging that the welding process is finished, and only acquiring a displacement signal of the movable clamp by the real-time acquisition subsystem; the setting method of the critical value A comprises the following steps: presetting 50% of welding parameters, and continuing for 5 cycles; the setting method of the critical value B comprises the following steps: 10% of the preset welding parameters are kept for 5 cycles.
The automobile rim rapid finite element modeling module in the step 2 is used for solidifying the automobile rim flash butt welding process model in an operating system, and setting contact surfaces and heat dissipation conditions between a workpiece and a clamp in each automobile rim flash butt welding process model; firstly, a user is required to select an automobile rim flash butt welding process model, the position of a clamp is set, then according to the size parameters of a workpiece input by the user, a system can automatically endow the size parameters to the model selected by the user, and the automation of the quick finite element modeling of the automobile rim is realized; the Access material database stores the physical properties of metal materials commonly used by the automobile rim, the heat conductivity coefficient, the specific heat capacity, the resistance coefficient, the resistivity and the like of the clamp materials in a host in a text form; in the grid dividing process, the automobile rim rapid finite element modeling module divides two sides of an interface by using a minimum geometric unit according to the actually measured displacement distance of a displacement sensor, and the length of the interface is the same as the actually measured displacement distance; and other parts are divided by the maximum geometric unit, so that the operation difficulty is reduced.
The invention also aims to provide a real-time welding parameter online monitoring device for realizing the flash butt welding online monitoring and quality evaluation method based on the process parameters, which comprises an upper computer, an alarm device, a sensor and a data acquisition card, wherein the data acquisition card uploads the acquired welding parameters to a data acquisition subsystem in the upper computer, the upper computer comprises the data acquisition subsystem, a data processing subsystem, a rapid modeling subsystem and a quality evaluation subsystem, and the alarm device is started when a workpiece with unqualified quality evaluation appears.
The invention has the beneficial effects that:
1. the invention fully considers the temperature change of each influence area of the joint (the temperature of an interface area, a superheat area, a recrystallization area and an incomplete recrystallization area), and can more accurately simulate the temperature change of the joint, thereby more accurately judging the quality of the joint.
2. The detection cost is low, the mechanical property test required in the traditional detection method is eliminated, the detection process is simplified, the detection period is greatly shortened, and the labor force is greatly liberated.
3. The method analyzes the welding quality through the temperature field of the butt joint, can overheat the butt joint, and can analyze the overburning phenomenon more fully and accurately. According to the simulation of actual parameters in the machining process of each workpiece, a temperature peak curve with high accuracy can be obtained, and therefore workpieces with poor joint quality can be accurately screened.
Drawings
The accompanying drawings, which are included to provide a further understanding of the invention and are incorporated in and constitute a part of this application, illustrate embodiment(s) of the invention and together with the description serve to explain the invention without limiting the invention.
FIG. 1 is a flow chart of the flash butt welding on-line monitoring and quality evaluation method of the present invention;
FIG. 2 is a flow diagram of the rapid modeling subsystem of the present invention;
FIG. 3 is a temperature map of the workpiece interface and its vicinity obtained by the fast modeling subsystem of the present invention;
FIG. 4 is a flow chart of a joint quality assessment method of the present invention;
FIG. 5 is a block diagram of an evaluation apparatus according to the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention. In order to make the aforementioned objects, features and advantages of the present invention comprehensible, embodiments accompanied with figures are described in further detail below.
Referring to fig. 1 to 5, the flash butt welding on-line monitoring and quality evaluation method and device based on process parameters of the invention comprises the steps of parameter acquisition and processing, rapid modeling and simulation calculation, and automatic evaluation of welding quality. In the flash butt welding process, the method captures the welding current, voltage, displacement and other process parameters in real time through a parameter acquisition and processing subsystem, and quickly establishes a numerical simulation model of a butt welding workpiece by taking the parameters as input conditions, and calculates the temperature distribution of the butt welding region of the workpiece; and matching and calculating the simulation result and the standard temperature model through a special algorithm, and finally carrying out online evaluation on the flash butt welding quality by taking the similarity as an index. The device comprises a real-time acquisition subsystem, a data processing subsystem, a rapid modeling subsystem and a quality evaluation subsystem.
Referring to fig. 1, in the flash butt welding online monitoring and quality evaluation method based on process parameters, a rogowski coil current sensor, an isolation hall voltage sensor and a triangular laser displacement sensor are adopted to continuously monitor a secondary current of a welding machine, a voltage between a moving clamp and a static clamp and a displacement signal of the moving clamp in the flash butt welding process; the real-time acquisition subsystem acquires a welding process signal, and then welding parameters are automatically calculated through the data processing subsystem to acquire welding parameters such as welding current, effective value and instantaneous value of voltage, flash speed, displacement and the like; establishing a numerical simulation model of the flash butt welding workpiece through a rapid modeling subsystem, automatically introducing welding parameters obtained by monitoring as boundary conditions, and performing online numerical simulation to obtain the distribution of the temperature field of the welding joint; the quality evaluation subsystem automatically calculates the distribution characteristics of the temperature peak value, the gradient, the change rate and the like of the butt joint and the heat affected zone on the basis of the numerical simulation result of the temperature field of the workpiece, compares the distribution characteristics with a preset standard temperature model, and finally evaluates the quality of the welding joint by taking the similarity as a basis.
The real-time acquisition subsystem acquires a displacement signal of the movable clamp in real time, when the displacement of the movable clamp is increased, the welding process is judged to be about to start, the real-time acquisition subsystem starts to acquire a secondary current of the welding machine and a voltage between the movable clamp and the fixed clamp, and when any one of the two signals rises to a critical value A suddenly, the welding process is judged to start; the real-time acquisition subsystem stores instantaneous values of all sensing signals in a memory in a time-domain sequence mode in the welding process; the data processing subsystem automatically calculates welding parameters to obtain welding parameters such as welding current, voltage effective value, instantaneous value, flash speed, displacement and the like. When the two signals of the secondary current of the welding machine and the voltage between the movable clamp and the fixed clamp are all suddenly reduced to a critical value B, the welding process is judged to be finished, and the real-time acquisition subsystem only acquires the displacement signal of the movable clamp.
The setting method of the critical value A comprises the following steps: presetting 50% of welding parameters, and continuing for 5 cycles; the setting method of the critical value B comprises the following steps: 10% of the preset welding parameters are kept for 5 cycles.
Referring to fig. 2, the rapid modeling subsystem automatically generates a simulation model according to the model selected by the user from the rapid finite element modeling module for the rim of the automobile, the input workpiece size parameters (radius r, width w, thickness d) and the material properties selected from the Access material database, automatically divides grids according to the data monitored by the displacement sensor, and performs finite element simulation calculation on the welding heat generation of the workpiece by taking the welding process parameters obtained by the data processing subsystem as input conditions to obtain the temperature field of the workpiece alignment and the area near the workpiece alignment, which is shown in fig. 3.
The automobile rim rapid finite element modeling module is obtained by carrying out secondary development on the basis of a Hyper Mesh platform, and the existing automobile rim flash butt welding process model is solidified in an operating system through an integrated system, so that the automation of the automobile rim rapid finite element modeling is realized. The Access material database stores the physical properties of metal materials commonly used by the automobile rim, the heat conductivity coefficient, the specific heat capacity, the resistance coefficient, the resistivity and the like of the clamp materials in a host in a text form. The grid division process is that the automobile rim rapid finite element modeling module divides two sides of the interface by using a minimum geometric unit according to the actually measured displacement distance of the displacement sensor, and the length of the interface is the same as the actually measured displacement distance. Other parts are divided by the maximum geometric unit, so that the operation difficulty is reduced.
The quality evaluation subsystem automatically calculates the distribution characteristics such as temperature peak values, gradients and change rates of the butt joint and the heat affected zone on the result of numerical simulation of the temperature field of the workpiece; and (3) reserving temperature areas 50mm away from the two sides of the butt joint in the numerical simulation result, intercepting ten parallel and equidistant temperature curves in the direction vertical to the butt joint and a preset standard temperature curve, performing similarity comparison by using a longest common subsequence (LCSS) algorithm, and finally evaluating the quality of the welded joint by taking the similarity as a basis.
The LCSS algorithm calculates the similarity of the two curves according to the longest public subsequence of the two curves by a point matching method. The maximum value of the result obtained by applying the LCSS algorithm is 1, the minimum value is 0, and the larger the value is, the higher the similarity is.
The similarity analysis step of the intercepted temperature peak value curve and the ideal temperature peak value curve by using an LCSS algorithm comprises the following steps:
A＝[a1 ，a2，…，an]，B=[b1 ，b2 ，…，bm]
A. b respectively represent two sequences, a is an ideal temperature curve initially set, B is a temperature field curve obtained by numerical simulation, a and B are samples in the sequences (points on the curve), and the number of samples in each sequence is set as m and n. And sequentially extracting k points from the sequences A and B to form sequences AK and BK, so that Euclidean distances of two points in the AK and BK are equal and are smaller than a threshold epsilon. The longest AK, BK is the longest common subsequence of the two sets of curves, and the similarity of the two curves can be obtained according to the formula.
Referring to fig. 4, the evaluation criteria for the quality of the welded joint are: if the similarity of more than or equal to eight temperature curves in the ten temperature curves subjected to similarity comparison is more than or equal to 0.85, and the similarity result of other temperature curves is more than or equal to 0.8, the quality evaluation subsystem evaluates the quality of the joint as qualified. If the similarity of more than or equal to one temperature curve is less than 0.8, the quality evaluation subsystem can evaluate the quality of the joint as unqualified.
The embodiment is as follows:
the following description is given by taking the monitoring of the flash butt welding production process of the automobile rim as an example: the monitoring system and the equipment designed by the invention are connected with actual production equipment. The welding voltage is set to be 3V, the flash quantity is set to be 5mm, the burning speed is set to be 1.20mm/s, the top quantity is set to be 6mm and the like through an operation interface of the flash butt welding machine. The monitoring device is started before welding, and workpiece size parameters (radius r, width w and thickness d) and material parameters (heat conductivity, specific heat capacity, resistance coefficient, resistivity and the like) are input into the rapid modeling subsystem. And when the welding process is finished, the quality evaluation subsystem gives an evaluation result, and the performance analysis is carried out on the workpiece joint which is qualified in evaluation, wherein the result is the same as the evaluation result. When the workpieces produced by adopting the welding parameters which are too large or too small are welded, the quality evaluation subsystem gives out an evaluation result which is unqualified after the welding process is finished, and the alarm system is started.
The above description is only a preferred example of the present invention and is not intended to limit the present invention, and various modifications and changes may be made by those skilled in the art. Any modification, equivalent replacement, improvement and the like of the present invention shall be included in the protection scope of the present invention.
Claims (4)
1. A flash butt welding on-line monitoring and quality evaluation method based on process parameters is characterized in that: the method comprises the following steps:
step 1, firstly, continuously monitoring secondary current of a welding machine, voltage between a movable clamp and a fixed clamp and displacement signals of the movable clamp by adopting a Rogowski coil current sensor, an isolated Hall voltage sensor and a triangular laser displacement sensor; the real-time acquisition subsystem automatically judges the start and the end of the welding process according to the signal state and stores the instantaneous values of all the sensing signals in the welding process in a memory in a time domain sequence mode; the data processing subsystem automatically calculates welding parameters to obtain welding current, voltage effective value, instantaneous value, flash speed and displacement;
step 2, the rapid modeling subsystem automatically generates a simulation model according to workpiece dimension parameters input by a user in the rapid finite element modeling module of the automobile rim, including radius r, width w and thickness d, and material attributes selected in an Access material database, and the rapid modeling subsystem automatically divides grids by taking welding process parameters obtained by the data processing subsystem as input conditions, and performs finite element simulation calculation on welding heat generation of the workpiece to obtain a temperature field of a workpiece intersection and a temperature field of a nearby area of the workpiece;
step 3, the quality evaluation subsystem automatically calculates the temperature peak value, gradient and change rate of the butt joint and the heat affected zone on the result of the numerical simulation of the temperature field of the workpiece; keeping temperature areas 50mm away from two sides of the butt joint in a numerical simulation result, intercepting ten parallel and equidistant temperature curves in the direction vertical to the butt joint and a preset standard temperature curve from the temperature areas, performing similarity comparison by using a longest common subsequence (LCSS) algorithm, and finally evaluating the quality of a welded joint by taking the similarity as a basis;
3.1, the LCSS algorithm calculates the similarity of the two curves by a point matching method according to the longest public subsequence of the two curves; the maximum value of the result obtained by applying the LCSS algorithm is 1, the minimum value is 0, and the larger the numerical value is, the higher the similarity is;
3.2, the step of analyzing the similarity of the intercepted temperature peak curve and the ideal temperature peak curve by applying an LCSS algorithm comprises the following steps:
3.21、A＝[a1 ，a2，…，an]，B=[b1 ，b2 ，…，bm]
3.22 and A, B respectively represent two sequences, wherein A is an initially set ideal temperature curve, B is a temperature field curve obtained by numerical simulation, a and B are samples in the sequences, and the number of the samples in each sequence is set as m and n; sequentially extracting k points from the sequence A, B to form sequences AK and BK respectively, so that Euclidean distances of two points in the AK and BK are equal and smaller than a threshold value epsilon; the longest AK and BK are the longest common subsequence of the two groups of curves, and the similarity of the two curves is obtained according to the formula;
3.3, the evaluation standard of the quality of the welding joint is as follows: if the similarity of more than or equal to eight temperature curves in the ten temperature curves subjected to similarity comparison is more than or equal to 0.85 and the similarity result of other temperature curves is more than or equal to 0.8, the quality evaluation subsystem can evaluate the joint quality as qualified; if the similarity of more than or equal to one temperature curve is less than 0.8, the quality evaluation subsystem can evaluate the quality of the joint as unqualified.
2. The process parameter based flash butt welding on-line monitoring and quality assessment method according to claim 1, characterized in that: the real-time acquisition subsystem acquires a moving clamp displacement signal in real time, judges that a welding process is about to start when the moving clamp displacement is increased, starts to acquire a secondary current of a welding machine and a voltage between a moving clamp and a fixed clamp by the real-time acquisition subsystem, and judges that the welding process starts when any one of the two signals rises to a critical value A suddenly; the real-time acquisition subsystem stores the instantaneous values of all the sensing signals in a memory in a time domain sequence mode in the welding process; the data processing subsystem automatically calculates welding parameters to obtain welding current, voltage effective value, instantaneous value, flash speed and displacement; when two signals of secondary current of the welding machine and voltage between the movable clamp and the fixed clamp are suddenly reduced to a critical value B, judging that the welding process is finished, and only acquiring a displacement signal of the movable clamp by the real-time acquisition subsystem; the setting method of the critical value A comprises the following steps: presetting 50% of welding parameters, and continuing for 5 cycles; the setting method of the critical value B comprises the following steps: 10% of the preset welding parameters are kept for 5 cycles.
3. The process parameter based flash butt welding on-line monitoring and quality assessment method according to claim 1, characterized in that: the automobile rim rapid finite element modeling module in the step 2 is characterized in that an automobile rim flash butt welding process model is solidified in an operating system, and contact surfaces and heat dissipation conditions between workpieces and clamps are set in each automobile rim flash butt welding process model; firstly, a user is required to select an automobile rim flash butt welding process model, the position of a clamp is set, then according to the size parameters of a workpiece input by the user, a system can automatically endow the size parameters to the model selected by the user, and the automation of the quick finite element modeling of the automobile rim is realized; the Access material database stores the heat conductivity coefficient, specific heat capacity, resistance coefficient and resistivity of the metal material and the clamp material which are commonly used by the automobile rim in a host in a text form; in the grid dividing process, the automobile rim rapid finite element modeling module divides two sides of an interface by using a minimum geometric unit according to the actually measured displacement distance of a displacement sensor, and the length of the interface is the same as the actually measured displacement distance; and other parts are divided by the maximum geometric unit, so that the operation difficulty is reduced.
4. A real-time welding parameter on-line monitoring device for implementing the flash butt welding on-line monitoring and quality evaluation method based on process parameters according to any one of claims 1 to 3, characterized in that: the welding parameter monitoring system comprises an upper computer, an alarm device, a sensor and a data acquisition card, wherein the data acquisition card uploads acquired welding parameters to a data acquisition subsystem in the upper computer, the upper computer comprises a data acquisition subsystem, a data processing subsystem, a rapid modeling subsystem and a quality evaluation subsystem, and the alarm device is started when a workpiece with unqualified quality evaluation appears.
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| CN116777391A (en) * | 2023-07-05 | 2023-09-19 | 武汉船舶职业技术学院 | Welding process management system and welding process rule generation method and system |
| CN118313342A (en) * | 2024-06-11 | 2024-07-09 | 鲁欧智造(山东)数字科技有限公司 | Thermal simulation method and system for electronic device |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN116777391A (en) * | 2023-07-05 | 2023-09-19 | 武汉船舶职业技术学院 | Welding process management system and welding process rule generation method and system |
| CN118313342A (en) * | 2024-06-11 | 2024-07-09 | 鲁欧智造(山东)数字科技有限公司 | Thermal simulation method and system for electronic device |
| CN118313342B (en) * | 2024-06-11 | 2024-08-06 | 鲁欧智造(山东)数字科技有限公司 | Thermal simulation method and system for electronic device |
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