Continuous casting mold vibration method, apparatus, device, and storage medium
Patent Information
- Application Number
- CN202410288381.1
- 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
[0003]但是,现有的结晶器非正弦振动模式,如奥钢联的组合函数模型,通常存在加速度曲线在过渡区突变的缺陷,容易对驱动装置造成柔性冲击
[0026]本公开一个或者多个实施方式提供的技术方案,可以使用抛物线并采用两段式构造区间波形函数,通过区间波形函数有效控制结晶器驱动装置。本公开提供的区间波形函数形式简洁、求解方便,易于推导工艺参数的显性表达式。本公开提供的区间波形函数中的基本参数较少,仅包含振频和振幅,容易设计合适的参数,满足不同的振动需求。同时,本公开提供的技术方案中,位移曲线、速度曲线连续光滑,加速度曲线连续变化,可以避免对驱动装置产生冲击,具有良好的动力学特性。
Smart Images

Figure CN118143211B_ABST
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. With the accelerating pace of production and increasing demands for billet surface quality, ensuring billet surface quality while achieving demolding places higher demands on crystallizer vibration devices and control technology. Typically, employing a non-sinusoidal vibration mode in the crystallizer can effectively improve the quality and performance of castings while reducing production costs.
[0003] However, existing non-sinusoidal vibration modes of crystallizers, such as the combined function model of Voestalpine, often suffer from abrupt changes in the acceleration curve in the transition region, which can easily cause flexible impacts to the drive unit. Another type of non-sinusoidal vibration mode of crystallizers, such as the global function model of Demark, although having excellent dynamic characteristics, usually suffers from the drawback of difficulty in solving process parameters.
[0004] Therefore, there is an urgent need for a vibration method for continuous casting molds that can effectively improve the quality and performance of castings, possess good dynamic characteristics, and is also easy to implement. Summary of the Invention
[0005] In view of this, one or more embodiments of this disclosure provide a method, apparatus, equipment and storage medium for vibration of a continuous casting crystallizer, which, while ensuring the quality and performance of the castings, employs waveform function formulas with clear parameters and convenient solutions, and also possesses good dynamic characteristics.
[0006] This disclosure provides a vibration method for a continuous casting crystallizer, the method comprising: acquiring a vibration period and dividing the vibration period into two period intervals; for any period interval, determining an interval waveform function; wherein the interval waveform function is a parabolic waveform function; and controlling a driving device according to each interval waveform function, so that the continuous casting crystallizer performs a vibration process matching the interval waveform function under the action of the driving device.
[0007] Preferably, in the continuous casting crystallizer vibration method, determining the interval waveform function of the periodic interval includes: generating a gain coefficient based on the vibration frequency and amplitude; determining the function structure based on the interval position of the periodic interval; and determining the interval waveform function based on the gain coefficient and the function structure.
[0008] Preferably, in the continuous casting crystallizer vibration method, the gain coefficient includes: 96hf 3 In the formula, h is the amplitude and f is the frequency.
[0009] Preferably, the waveform functions for each interval include:
[0010]
[0011] Where v(t) is the crystallizer vibration velocity, t is the vibration time, h is the amplitude, and f is the vibration frequency.
[0012] 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.
[0013] Preferably, the continuous casting crystallizer vibration method further includes: integrating the waveform functions of each interval to determine a second corresponding function of each waveform function of the interval, wherein the second corresponding function is used to control the driving device and / or analyze the vibration process.
[0014] Preferably, the continuous casting crystallizer 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 speed difference between the crystallizer and the billet, the negative sliding time, and the negative sliding displacement.
[0015] Preferably, the first corresponding function includes:
[0016]
[0017] Where a(t) is the crystallizer vibration acceleration, t is the vibration time, h is the amplitude, and f is the vibration frequency.
[0018] Preferably, the second corresponding function includes:
[0019]
[0020] Where s(t) is the crystallizer vibration displacement, t is the vibration time, h is the amplitude, and f is the vibration frequency.
[0021] In another aspect, this disclosure also provides a vibration device for a continuous casting crystallizer, the device comprising:
[0022] The function determination unit obtains the vibration period and divides the vibration period into two period intervals; for any period interval, it determines the interval waveform function of the period interval; wherein, the interval waveform function is a parabolic waveform function;
[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] The technical solutions provided by one or more embodiments of this disclosure can use parabolic curves and a two-segment structure to construct interval waveform functions, thereby effectively controlling the crystallizer drive device. The interval waveform functions provided by this disclosure are concise in form, easy to solve, and readily derive explicit expressions for process parameters. The interval waveform functions provided by this disclosure contain few basic parameters, only frequency and amplitude, making it easy to design suitable parameters to meet different vibration requirements. Furthermore, the displacement and velocity curves in the technical solutions provided by this disclosure are continuous and smooth, and the acceleration curve changes continuously, which can avoid impact on the drive device and exhibits good dynamic characteristics. 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 2 A schematic diagram of a velocity waveform function in one embodiment of this disclosure is shown;
[0030] Figure 3 A schematic diagram of an acceleration waveform function in one embodiment of this disclosure is shown;
[0031] Figure 4 A schematic diagram of a displacement waveform function in one embodiment of this disclosure is shown;
[0032] Figure 5 A schematic diagram of the functional modules of a continuous casting crystallizer vibration device in one embodiment of this disclosure is shown.
[0033] Figure 6A schematic diagram of the structure of an electronic device according to one embodiment of the present disclosure is shown. Detailed Implementation
[0034] 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 disclosure, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of this disclosure.
[0035] Please see Figure 1 The continuous casting crystallizer vibration method provided in one embodiment of this disclosure may include the following multiple steps.
[0036] S1: Obtain the vibration period and divide the vibration period into two period intervals.
[0037] 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, intermediate nodes can be set to divide the vibration period into two period intervals.
[0038] S2: For any periodic interval, determine the interval waveform function of the periodic interval; wherein the interval waveform function is a parabolic waveform function.
[0039] In this embodiment, a polynomial related to the time variable can be set, and the polynomial can represent the parabolic waveform function. The polynomial can be a quadratic polynomial.
[0040] In some implementations, gain coefficients can be generated based on the frequency and amplitude, and the function structure can be determined based on the interval position of the periodic interval. Subsequently, the interval waveform function can be determined based on the gain coefficients and the function structure.
[0041] In a practical application example, given that h is the amplitude, f is the frequency, and the gain coefficient can be 96hf 3 .
[0042] In a practical application example, the interval waveform function can include:
[0043]
[0044] Where v(t) is the crystallizer vibration velocity, t is the vibration time, h is the amplitude, and f is the vibration frequency.
[0045] S3: Based on the waveform functions of each interval, control the driving device 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.
[0046] 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.
[0047] 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.
[0048] In a practical application example, the first corresponding function may include:
[0049]
[0050] Where a(t) is the crystallizer vibration acceleration, t is the vibration time, h is the amplitude, and f is the vibration frequency.
[0051] 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.
[0052] In a practical application example, the second corresponding function may include:
[0053]
[0054] Where s(t) is the crystallizer vibration displacement, t is the vibration time, h is the amplitude, and f is the vibration frequency.
[0055] 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 crystallizer and the billet, the negative sliding time, and the negative sliding displacement.
[0056] 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:
[0057]
[0058] Where v(t) is the crystallizer vibration velocity in mm / min; t is the vibration time in min; h is the amplitude in mm; and f is the vibration frequency in cpm.
[0059] As can be seen, the velocity waveform curve in this embodiment is continuous and smooth, the slope of each point changes continuously, and the upward displacement and downward displacement are equal.
[0060] The velocity waveform function can be differentiated to obtain the acceleration waveform function for each period, as shown below:
[0061]
[0062] Where a(t) is the crystallizer vibration acceleration, in mm / min. 2 .
[0063] The velocity waveform function can be integrated to obtain the displacement waveform function in each period, as shown below:
[0064]
[0065] Where s(t) is the vibration displacement of the crystallizer, in mm.
[0066] 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, the negative slip time, and the negative slip displacement can be derived as follows:
[0067] ΔV max =6hf+V C ,
[0068]
[0069]
[0070] Among them, V C ΔV represents the casting speed, expressed in mm / min. max t represents the maximum speed difference between the crystallizer and the billet, expressed in mm / min. N NSA represents the negative sliding time in minutes; NSA represents the negative sliding displacement in millimeters.
[0071] The vibration curve constructed in this embodiment of the present disclosure satisfies the following characteristics: the velocity waveform curve is continuous and smooth, the slope of each point changes continuously, and the upward displacement and downward displacement are equal. Therefore, the crystallizer can be made to make regular reciprocating motion up and down while maintaining the stability of the vibration.
[0072] Please see Figure 2 , Figure 3 and Figure 4 In one embodiment, when the vibration frequency is 180 cpm and the amplitude is 3.915 mm, the velocity, acceleration, and displacement waveforms are as follows: Figure 2 , Figure 3 and Figure 4 As shown. Meanwhile, for comparison, Figure 2 It also provides velocity waveform curves in sinusoidal mode under the same frequency and amplitude conditions.
[0073] Table 1 shows the process parameters for parabolic and sinusoidal modes at different casting speeds. Compared to the sinusoidal mode, the maximum velocity difference between the crystallizer and the billet is lower in the parabolic mode, regardless of whether the casting speed is high or low. This helps reduce friction between the crystallizer and the billet, preventing billet cracking. Compared to the sinusoidal mode, the negative slip time is lower in the parabolic mode at high casting speeds, which helps reduce the depth of oscillation marks and improve the surface quality of the billet. At low casting speeds, the negative slip time in the parabolic mode is very close to that in the sinusoidal mode; therefore, the parabolic mode can also achieve the same effect as the sinusoidal mode at low casting speeds.
[0074] Table 1
[0075]
[0076]
[0077] The technical solutions provided by one or more embodiments of this disclosure can construct velocity waveform curves using two parabolic segments. The waveform function is simple in form, easy to solve, and easy to derive explicit expressions for process parameters. The basic parameters are few, including only vibration frequency and amplitude, making it easy to design suitable parameters to meet different vibration requirements. At the same time, the displacement and velocity curves are continuous and smooth, and the acceleration curve changes continuously, avoiding impact on the drive device and exhibiting good dynamic characteristics.
[0078] Please see Figure 5 This disclosure also provides a vibration device for a continuous casting crystallizer, the device comprising:
[0079] The function determination unit 100 is used to obtain the vibration period and divide the vibration period into two period intervals; for any period interval, the interval waveform function of the period interval is determined; wherein, the interval waveform function is a parabolic waveform function;
[0080] 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.
[0081] In one embodiment, the function determining unit 100 is specifically used to generate a gain coefficient based on the oscillation frequency and amplitude; determine the function structure based on the interval position of the period interval; and determine the interval waveform function based on the gain coefficient and the function structure.
[0082] 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.
[0083] In one embodiment, the function determining unit 100 is further configured 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.
[0084] 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, the negative sliding time, and the negative sliding displacement.
[0085] 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.
[0086] Please see Figure 6 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.
[0087] 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.
[0088] 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.
[0089] 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.
[0090] 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. Examples of such networks include, but are not limited to, the Internet, corporate intranets, local area networks, mobile communication networks, and combinations thereof.
[0091] 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.
[0092] 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.
[0093] 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.
[0094] 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: The vibration period is obtained and the vibration period is divided into two period intervals. For any periodic interval, determine the interval waveform function of the periodic interval; wherein, the interval waveform function is a parabolic waveform function; 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; Each of the aforementioned interval waveform functions includes: , in, The crystallizer vibration speed, For vibration time, For amplitude, It is the oscillation frequency.
2. The method according to claim 1, characterized in that, The interval waveform function for determining the period interval includes: The gain coefficient is generated based on the frequency and amplitude. The function structure is determined based on the interval position of the periodic interval; The interval waveform function is determined based on the gain coefficient and the function structure.
3. The method according to claim 2, characterized in that, The gain coefficient includes: In the formula, For amplitude, It is the oscillation frequency.
4. The method according to claim 1, characterized in that, The method further includes: Differentiate each of the interval waveform functions to determine the first corresponding function of each interval waveform function. The first corresponding function is used to control the driving device and / or analyze the vibration process.
5. The method according to claim 4, characterized in that, The first corresponding function includes: , in, For the vibration acceleration of the crystallizer, For vibration time, For amplitude, It is the oscillation frequency.
6. The method according to claim 1, characterized in that, The method further includes: 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.
7. The method according to claim 6, characterized in that, The second corresponding function includes: , in, For the vibration displacement of the crystallizer, For vibration time, For amplitude, It is the oscillation frequency.
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, the negative sliding time, and the negative sliding displacement.
9. A vibration device for a continuous casting crystallizer, characterized in that, The device includes: The function determination unit obtains the vibration period and divides the vibration period into two period intervals; for any period interval, it determines the interval waveform function of the period interval; wherein, the interval waveform function is a parabolic waveform function; 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; Each of the aforementioned interval waveform functions includes: , in, The crystallizer vibration speed, For vibration time, For amplitude, It is the oscillation frequency.
10. 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 8.
11. 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 8.
Citation Information
Patent Citations
Non-sinusoidal vibration waveform function of a continuous casting crystallizer
CN109766514A