Continuous casting mold vibration method, apparatus, device, and storage medium
Patent Information
- Application Number
- CN202410288230.6
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2024-03-13
- Publication Date
- 2026-09-29
- Estimated Expiration
- 2044-03-13
AI Technical Summary
[0026]本公开一个或者多个实施方式提供的技术方案,基于振动特征节点将振动周期划分为一个或者多个周期区间;针对任一周期区间,确定所述周期区间的区间波形函数;根据各个所述区间波形函数控制驱动装置,实现连铸结晶器的振动过程。一方面,可以对振动过程进行控制,形成高质量的振动效果,满足铸坯脱模需求和润滑需求。另一方面,构造的区间波形函数可以保证速度曲线光滑连续,加速度没有突变,具有良好的波形动力学特性。在一些具体实施例中,区间波形函数公式明确、求解方便,易于推导工艺参数的显性表达式。
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Abstract
Description
Technical Field
[0001] This disclosure relates to the field of continuous casting technology, specifically to a method, apparatus, equipment, and storage medium for vibrating a continuous casting crystallizer. Background Technology
[0002] Crystallizer vibration technology is a core technology for continuous steel casting. During the steel casting process, the initial billet shell tends to adhere to the wall of the crystallizer. To prevent the billet shell from sticking to the crystallizer wall and to achieve smooth demolding, crystallizer vibration technology is generally used.
[0003] However, with the accelerated pace of production and the increasing demands for billet surface quality, ensuring billet surface quality while achieving demolding places higher requirements on the crystallizer vibration device and control technology. Therefore, a continuous casting crystallizer vibration method is needed that not only achieves high-quality billet demolding and lubrication but also possesses good dynamic characteristics to reduce mechanical damage to the drive unit. Summary of the Invention
[0004] In view of this, one or more embodiments of this disclosure provide a method, apparatus, equipment and storage medium for vibrating a continuous casting mold, which has good dynamic characteristics while ensuring the demolding and lubrication requirements of the continuous casting billet.
[0005] This disclosure provides a vibration method for a continuous casting mold, the method comprising: acquiring a vibration period and determining one or more vibration characteristic nodes in the vibration period; dividing the vibration period into one or more period intervals based on the vibration characteristic nodes; determining an interval waveform function for any period interval; and controlling a driving device according to each interval waveform function so that the continuous casting mold performs a vibration process matching the interval waveform function under the action of the driving device.
[0006] Preferably, in the continuous casting crystallizer vibration method, determining one or more vibration feature nodes in the vibration cycle includes: generating multiple adjustment coefficients based on the offset rate; generating a reference feature point based on the adjustment coefficient and the vibration frequency for any adjustment coefficient; and generating one or more vibration feature nodes based on each of the reference feature points.
[0007] Preferably, in the continuous casting crystallizer vibration method, determining the interval waveform function of the period interval includes: generating a gain coefficient based on the offset rate, vibration frequency, and amplitude; determining the function type and function phase based on the interval position of the period interval; and determining the interval waveform function based on the gain coefficient, the function type, and the function phase.
[0008] Preferably, generating the gain coefficient based on the offset rate, frequency, and amplitude includes: using the product of the frequency and the amplitude as a first gain factor, wherein the first gain factor is positively correlated with the gain coefficient; using the offset rate as a second gain factor, wherein the second gain factor is negatively correlated with the gain coefficient; and determining the gain coefficient based on the first gain factor and the second gain factor.
[0009] Preferably, the continuous casting crystallizer vibration method further includes: differentiating each of the interval waveform functions to determine a first corresponding function for each of the interval waveform functions, wherein the first corresponding function is used to control the driving device and / or analyze the vibration process; integrating each of the interval waveform functions to determine a second corresponding function for each of the interval waveform functions, wherein the second corresponding function is used to control the driving device and / or analyze the vibration process.
[0010] Preferably, the continuous casting mold vibration method further includes: determining vibration attribute information during the vibration process based on the waveform function of each interval and the billet casting speed information; wherein, the vibration attribute information includes at least one of the following: the maximum velocity difference between the mold and the billet during negative sliding, the maximum velocity difference between the mold and the billet during positive sliding, negative sliding time, and negative sliding displacement.
[0011] Preferably, in the continuous casting crystallizer vibration method, the waveform functions for each interval include:
[0012]
[0013] Where v(t) is the crystallizer vibration velocity, t is time, α is the offset rate, h is the amplitude, f is the vibration frequency, and f0, f1, f2 and A are shown below:
[0014]
[0015] Preferably, in the continuous casting crystallizer vibration method, the vibration attribute information includes:
[0016]
[0017]
[0018]
[0019]
[0020] Among them, V C Let ΔV be the throwing speed. n-max ΔV represents the maximum velocity difference between the crystallizer and the billet during negative sliding. p-maxt represents the maximum velocity difference between the crystallizer and the billet during the positive sliding phase. N For negative sliding time, NSA represents negative sliding displacement.
[0021] In another aspect, this disclosure also provides a vibration device for a continuous casting crystallizer, the device comprising:
[0022] A function determination unit is used to obtain the vibration period and determine one or more vibration feature nodes in the vibration period; based on the vibration feature nodes, divide the vibration period into one or more period intervals; and for any period interval, determine the interval waveform function of the period interval.
[0023] A vibration control unit is used to control a drive device according to the waveform functions of each interval, so that the continuous casting crystallizer performs a vibration process that matches the waveform function of the interval under the action of the drive device.
[0024] This disclosure also provides an electronic device including a memory and a processor, the memory for storing a computer program, which, when executed by the processor, implements the above-described continuous casting crystallizer vibration method.
[0025] This disclosure also provides a computer-readable storage medium for storing a computer program that, when executed by a processor, implements the above-described continuous casting crystallizer vibration method.
[0026] This disclosure provides a technical solution through one or more embodiments, which divides the vibration period into one or more period intervals based on vibration characteristic nodes; for any given period interval, a period waveform function is determined; and a driving device is controlled according to each of the period waveform functions to realize the vibration process of the continuous casting mold. On the one hand, the vibration process can be controlled to achieve a high-quality vibration effect, meeting the requirements for billet demolding and lubrication. On the other hand, the constructed period waveform function ensures a smooth and continuous velocity curve with no abrupt acceleration, exhibiting good waveform dynamics characteristics. In some specific embodiments, the formula for the period waveform function is clear, easy to solve, and facilitates the derivation of explicit expressions for process parameters. Attached Figure Description
[0027] The features and advantages of the embodiments of this disclosure will be more clearly understood by referring to the accompanying drawings, which are illustrative and should not be construed as limiting the present disclosure in any way. In the drawings:
[0028] Figure 1 A schematic diagram of the steps of a continuous casting crystallizer vibration method in one embodiment of this disclosure is shown;
[0029] Figure 2A schematic diagram of a velocity waveform function in one embodiment of this disclosure is shown;
[0030] Figure 3 A schematic diagram of a displacement waveform function in one embodiment of this disclosure is shown;
[0031] Figure 4 A schematic diagram of the functional modules of a continuous casting crystallizer vibration device in one embodiment of this disclosure is shown.
[0032] Figure 5 A schematic diagram of the structure of an electronic device according to one embodiment of the present disclosure is shown. Detailed Implementation
[0033] To make the objectives, technical solutions, and advantages of the embodiments of this disclosure clearer, the technical solutions of the embodiments of this disclosure will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only a part of the embodiments of this disclosure, and not all of them. Based on the embodiments of this invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of this disclosure.
[0034] In related technologies, to achieve vibration of continuous casting molds, the combined function model of Voestalpine, the global function model of Demark, and the multi-segment combined function model can be used to construct velocity waveform functions to control the mold vibration process. Voestalpine's DYNAFLEX series hydraulic vibration device for molds uses a combined function model. The physical meaning of the model function is clear and easy to understand, and its negative slip time has an analytical expression. However, its acceleration curve has a sudden change in the transition zone, which can easily cause flexible impacts to the drive device. While Demark's global function model has a clear motion trajectory and excellent dynamic characteristics, the equations for solving the process parameters are transcendental equations, making them difficult to solve.
[0035] Therefore, this disclosure provides one or more embodiments of a continuous casting mold vibration method that can achieve good dynamic characteristics while ensuring the demolding and lubrication requirements of the continuously cast billet. Please refer to... Figure 1 According to one embodiment of the present disclosure, vibration of a continuous casting crystallizer can be achieved by following multiple steps.
[0036] S1: Obtain the vibration period and determine one or more vibration feature nodes in the vibration period.
[0037] S2: Based on the vibration feature nodes, the vibration period is divided into one or more period intervals.
[0038] In this embodiment, the vibration period information of the vibration process can be determined first, and the vibration period information can be determined by the vibration frequency information. Subsequently, each vibration period can be divided into one or more period intervals according to the set vibration characteristic nodes.
[0039] In some implementations, multiple adjustment coefficients can be generated based on a preset offset rate. Different adjustment coefficients can be combined with vibration frequencies to generate different reference feature points. Based on each reference feature point, one or more vibration feature nodes can be generated.
[0040] In a practical application example, given that α is the offset rate and f is the vibration frequency, reference feature nodes f0, f1, and f2 can be generated using the following formula:
[0041]
[0042] In a practical application example, multiple vibration feature nodes can be generated based on the reference feature nodes f0, f1, and f2, including:
[0043]
[0044] S3: For any periodic interval, determine the interval waveform function of the periodic interval.
[0045] In this embodiment, gain coefficients can be generated based on offset rate, frequency, and amplitude. The function type and phase can be determined based on the position of the periodic interval. The position of the periodic interval can be determined by the start and end points of the interval. The function type can be a trigonometric function, including sine and cosine functions. Determining the function type and phase can include determining the overall sign of the function. Based on the determined gain coefficients, function type, and function phase, the interval waveform function can be determined.
[0046] In some implementations, the product of the frequency and amplitude can be used as the first gain factor, and the offset rate can be used as the second gain factor. A gain coefficient can be generated based on the first and second gain factors. The first gain factor can be positively correlated with the gain coefficient, and the second gain factor can be negatively correlated with the gain coefficient.
[0047] In a practical application example, the gain coefficient can be as follows:
[0048]
[0049] In the formula, A is the gain coefficient, h is the amplitude, f is the frequency, and α is the offset rate.
[0050] In a practical application example, the waveform functions for each interval can include:
[0051]
[0052] Where v(t) is the crystallizer vibration velocity, t is time, α is the offset rate, h is the amplitude, f is the vibration frequency, and f0, f1, f2 and A value are described in the relevant content above.
[0053] S4: Control the driving device according to each of the interval waveform functions so that the continuous casting crystallizer performs a vibration process that matches the interval waveform function under the action of the driving device.
[0054] In this embodiment, the waveform function for each interval can be a velocity waveform function, which can be input to the driving device. The driving device can drive the continuous casting crystallizer to vibrate accordingly based on the received waveform functions for each interval.
[0055] In some implementations, the derivatives of each interval waveform function can be calculated to determine the first corresponding function for each interval waveform function. When the interval waveform function is a velocity waveform function, the first corresponding function is an acceleration waveform function. The driving device can be controlled using the acceleration waveform function to optimize the process of driving the continuous casting mold to vibrate. The vibration process of the mold can be analyzed based on the acceleration waveform function, for example, to determine whether there are abrupt changes in the acceleration curve and whether it will cause flexible impacts to the driving device.
[0056] In some implementations, the waveform functions of each interval can be integrated to determine a second corresponding function for each interval waveform function. When the interval waveform function is a velocity waveform function, the second corresponding function is a displacement waveform function. The displacement waveform function can be used to control the driving device and optimize its process of driving the continuous casting mold to vibrate. The vibration process of the mold can be analyzed based on the displacement waveform function, for example, to predict the motion trajectory.
[0057] In some implementations, vibration attribute information during the vibration process can be determined based on the waveform functions of each interval and known billet casting speed information. The vibration attribute information may include at least one of the following: the maximum velocity difference between the mold and the billet during negative sliding, the maximum velocity difference between the mold and the billet during positive sliding, negative sliding time, and negative sliding displacement.
[0058] In one embodiment of this disclosure, to achieve vibration of the continuous casting crystallizer, the crystallizer drive device can be controlled by a waveform function, and the velocity waveform function in each cycle is shown below:
[0059]
[0060] Where v(t) is the crystallizer vibration velocity in mm / min; t is time in min; α is the offset rate; h is the amplitude in mm; f is the vibration frequency in cpm, and f0, f1, f2 and A are shown below:
[0061]
[0062] The acceleration waveform function for each period can be obtained by differentiating the velocity waveform function, as shown below:
[0063]
[0064] Where a(t) is the crystallizer vibration acceleration, in mm / min. 2 .
[0065] By integrating the velocity waveform function, the displacement waveform functions for each period are shown below:
[0066]
[0067] Where s(t) is the vibration displacement of the crystallizer, in mm.
[0068] Based on the velocity waveform function and the billet casting speed, the explicit expressions for the maximum velocity difference between the crystallizer and the billet during negative and positive sliding periods, the negative sliding time, and the negative sliding displacement can be derived as follows:
[0069]
[0070]
[0071]
[0072]
[0073] Among them, V C ΔV represents the casting speed, expressed in mm / min. n-max ΔV represents the maximum velocity difference between the crystallizer and the billet during negative sliding, expressed in mm / min. p-max t represents the maximum velocity difference between the crystallizer and the billet during the positive sliding phase, expressed in mm / min. N NSA represents the negative sliding time in minutes; NSA represents the negative sliding displacement in millimeters.
[0074] Please see Figure 2 and Figure 3 In one embodiment, when the vibration frequency is 120 cpm, the amplitude is 4 mm, the offset rate is 0, 0.2, and 0.4, and the billet casting speed is 1.5 m / min, the velocity waveform curve is as follows: Figure 2 As shown, the displacement waveform curve is as follows Figure 3 As shown.
[0075] When the offset rate is 0.2, the negative sliding time is 0.148s, the maximum velocity difference between the crystallizer and the billet during the negative sliding period is 66.888mm / s, the maximum velocity difference between the crystallizer and the billet during the positive sliding period is 37.832mm / s, and the negative sliding displacement is 7.339mm.
[0076] When the offset rate is 0, a sinusoidal vibration mode can be formed. At this time, the negative sliding time is 0.167s, the maximum velocity difference between the crystallizer and the billet during the negative sliding period is 75.265mm / s, the maximum velocity difference between the crystallizer and the billet during the positive sliding period is 25.265mm / s, and the negative sliding displacement is 6.961mm.
[0077] It is understood that, in the continuous casting mold vibration method provided in this disclosure, by adjusting the offset rate, the negative sliding time can be reduced, which is beneficial to reducing the depth of vibration marks; the maximum speed difference between the mold and the billet during the negative sliding period can be reduced, which is beneficial to reducing friction and preventing the billet from cracking; the maximum speed difference between the mold and the billet during the positive sliding period can be increased, which is beneficial to improving the mold demolding effect and improving the surface quality of the billet.
[0078] This disclosure provides a technical solution through one or more embodiments, which controls the driving device according to the waveform function of each interval to realize the vibration of the continuous casting crystallizer, and has a strong ability to regulate the vibration process. On the one hand, the formula of each interval waveform function is clear and easy to solve, and it is easy to derive the explicit expression of the process parameters; on the other hand, the constructed interval waveform function can ensure that the velocity curve is smooth and continuous, the acceleration has no abrupt change, and has good waveform dynamic characteristics.
[0079] Please see Figure 4 This disclosure also provides a vibration device for a continuous casting crystallizer, the device comprising:
[0080] The function determination unit 100 is used to obtain the vibration period and determine one or more vibration feature nodes in the vibration period; based on the vibration feature nodes, divide the vibration period into one or more period intervals; and for any period interval, determine the interval waveform function of the period interval.
[0081] The vibration control unit 200 is used to control the driving device according to the waveform function of each interval, so that the continuous casting crystallizer performs a vibration process that matches the waveform function of the interval under the action of the driving device.
[0082] In one embodiment, the function determining unit 100 is specifically used to generate multiple adjustment coefficients based on the offset rate; for any adjustment coefficient, generate a reference feature point based on the adjustment coefficient and the vibration frequency; and generate one or more vibration feature nodes based on each of the reference feature points.
[0083] Gain coefficients are generated based on offset rate, frequency, and amplitude; function type and function phase are determined based on the interval position of the period interval; and the interval waveform function is determined based on the gain coefficients, the function type, and the function phase.
[0084] In one embodiment, the function determining unit 100 is further configured to use the product of the oscillation frequency and the amplitude as a first gain factor, the first gain factor being positively correlated with the gain coefficient; use the offset rate as a second gain factor, the second gain factor being negatively correlated with the gain coefficient; and determine the gain coefficient based on the first gain factor and the second gain factor.
[0085] In one embodiment, the function determining unit 100 is further configured to differentiate each of the interval waveform functions to determine a first corresponding function for each of the interval waveform functions, the first corresponding function being used to control the driving device and / or analyze the vibration process; and to integrate each of the interval waveform functions to determine a second corresponding function for each of the interval waveform functions, the second corresponding function being used to control the driving device and / or analyze the vibration process.
[0086] In one embodiment, the function determining unit 100 is further configured to determine vibration attribute information during the vibration process based on the waveform functions of each interval and the billet casting speed information; wherein the vibration attribute information includes at least one of the following: the maximum speed difference between the crystallizer and the billet during negative sliding, the maximum speed difference between the crystallizer and the billet during positive sliding, negative sliding time, and negative sliding displacement.
[0087] For ease of description, the above devices are described separately by function as various units. Of course, in implementing this application, the functions of each unit can be implemented in one or more software and / or hardware.
[0088] Please see Figure 5 This disclosure also provides an electronic device, which includes a memory and a processor. The memory is used to store a computer program, which, when executed by the processor, implements the above-described continuous casting crystallizer vibration method.
[0089] This disclosure also provides a computer-readable storage medium for storing a computer program that, when executed by a processor, implements the above-described continuous casting crystallizer vibration method.
[0090] The processor can be a central processing unit (CPU). It can also be other general-purpose processors, digital signal processors (DSPs), application-specific integrated circuits (ASICs), field-programmable gate arrays (FPGAs), or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, or combinations thereof.
[0091] Memory, as a non-transitory computer-readable storage medium, can be used to store non-transitory software programs, non-transitory computer-executable programs, and modules, such as the program instructions / modules corresponding to the methods in the embodiments of this disclosure. The processor executes various functional applications and data processing by running the non-transitory software programs, instructions, and modules stored in the memory, thereby implementing the methods in the above-described embodiments.
[0092] The memory may include a program storage area and a data storage area. The program storage area may store the operating system and applications required for at least one function; the data storage area may store data created by the processor, etc. Furthermore, the memory may include high-speed random access memory and non-transitory memory, such as at least one disk storage device, flash memory device, or other non-transitory solid-state storage device. In some embodiments, the memory may optionally include memory remotely located relative to the processor, which can be connected to the processor via a network.
[0093] Those skilled in the art will understand that all or part of the processes in the methods of the above embodiments can be implemented by a computer program instructing related hardware. The program can be stored in a computer-readable storage medium, and when executed, it can include the processes of the embodiments of the above methods. The storage medium can be a magnetic disk, optical disk, read-only memory (ROM), random access memory (RAM), flash memory, hard disk drive (HDD), or solid-state drive (SSD), etc.; the storage medium can also include combinations of the above types of memory.
[0094] The various embodiments in this specification are described in a progressive manner. Similar or identical parts between embodiments can be referred to mutually. Each embodiment focuses on describing the differences from other embodiments. In particular, embodiments of apparatus, devices, and storage media are basically similar to method embodiments, so the descriptions are relatively simple; relevant parts can be referred to the descriptions of the method embodiments.
[0095] The above description is merely an embodiment of this application and is not intended to limit the scope of this application. Various modifications and variations can be made to this application by those skilled in the art. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of this application should be included within the scope of the claims of this application.
[0096] Although embodiments of the present disclosure have been described in conjunction with the accompanying drawings, those skilled in the art can make various modifications and variations without departing from the spirit and scope of the present disclosure, and such modifications and variations all fall within the scope defined by the appended claims.
Claims
1. A vibration method for a continuous casting crystallizer, characterized in that, The method includes: Obtain the vibration period, and determine one or more vibration feature nodes within the vibration period; Based on the vibration feature nodes, the vibration period is divided into one or more period intervals; For any given periodic interval, determine the interval waveform function for that periodic interval; According to the waveform functions of each interval, the driving device is controlled so that the continuous casting crystallizer performs a vibration process that matches the waveform function of the interval under the action of the driving device; The waveform functions for each interval include: , in, The crystallizer vibration speed, For time, For offset rate, For amplitude, For the oscillation frequency, , and and The values are as follows: 。 2. The method according to claim 1, characterized in that, Determining one or more vibration characteristic nodes in the vibration period includes: Multiple adjustment coefficients are generated based on the offset rate; For any adjustment coefficient, a reference feature point is generated based on the adjustment coefficient and the vibration frequency; One or more vibration feature nodes are generated based on each of the aforementioned reference feature points.
3. The method according to claim 2, characterized in that, The vibration characteristic nodes include At least one of them; in, , , For the reference feature point, its formula is as follows: , , , In the formula, For offset rate, It is the oscillation frequency.
4. The method according to claim 1, characterized in that, The interval waveform function for determining the periodic interval includes: The gain coefficient is generated based on the offset rate, frequency, and amplitude. The function type and function phase are determined based on the position of the periodic interval; The interval waveform function is determined based on the gain coefficient, the function type, and the function phase.
5. The method according to claim 4, characterized in that, The process of generating the gain coefficient based on the offset rate, frequency, and amplitude includes: The product of the frequency and the amplitude is used as the first gain factor, and the first gain factor is positively correlated with the gain coefficient; The offset rate is used as a second gain factor, and the second gain factor is negatively correlated with the gain coefficient. The gain coefficient is determined based on the first gain factor and the second gain factor.
6. The method according to claim 5, characterized in that, The gain coefficient includes: , In the formula, This is the gain coefficient. For amplitude, For the oscillation frequency, This represents the offset rate.
7. The method according to claim 1, characterized in that, The method further includes: Differentiate each of the interval waveform functions to determine a first corresponding function for each of the interval waveform functions. The first corresponding function is used to control the driving device and / or analyze the vibration process. Integrating the waveform function of each interval, a second corresponding function of each waveform function of the interval is determined. The second corresponding function is used to control the driving device and / or analyze the vibration process.
8. The method according to claim 1, characterized in that, The method further includes: Based on the waveform functions of each interval and the billet casting speed information, vibration attribute information during the vibration process is determined; wherein, the vibration attribute information includes at least one of the following: The maximum speed difference between the crystallizer and the billet during negative sliding, the maximum speed difference between the crystallizer and the billet during positive sliding, the negative sliding time, and the negative sliding displacement.
9. The method according to claim 8, characterized in that, The vibration attribute information includes at least one of the following: , , , , in, For billet casting speed, This represents the maximum velocity difference between the crystallizer and the billet during negative sliding. This represents the maximum velocity difference between the crystallizer and the billet during the positive sliding phase. Negative sliding time It is a negative sliding displacement; This is the gain coefficient. For amplitude, For the oscillation frequency, This represents the offset rate.
10. A vibration device for a continuous casting crystallizer, characterized in that, The device includes: A function determination unit is used to obtain the vibration period and determine one or more vibration feature nodes in the vibration period; based on the vibration feature nodes, divide the vibration period into one or more period intervals; and for any period interval, determine the interval waveform function of the period interval. A vibration control unit is used to control a drive device according to the waveform functions of each interval, so that the continuous casting crystallizer performs a vibration process that matches the waveform function of the interval under the action of the drive device; The waveform functions for each interval include: , in, The crystallizer vibration speed, For time, For offset rate, For amplitude, For the oscillation frequency, , and and The values are as follows: 。 11. An electronic device, characterized in that, The electronic device includes a memory and a processor, the memory being used to store a computer program that, when executed by the processor, implements the method as described in any one of claims 1 to 9.
12. A computer-readable storage medium, characterized in that, The computer-readable storage medium is used to store a computer program that, when executed by a processor, implements the method as described in any one of claims 1 to 9.
Citation Information
Patent Citations
Non-sinusoidal vibration waveform function of a continuous casting crystallizer
CN109766514A