CN114007774A - Method and device for evaluating state of rolling device, and rolling facility - Google Patents

Method and device for evaluating state of rolling device, and rolling facility Download PDF

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Publication number
CN114007774A
CN114007774A CN201980097273.3A CN201980097273A CN114007774A CN 114007774 A CN114007774 A CN 114007774A CN 201980097273 A CN201980097273 A CN 201980097273A CN 114007774 A CN114007774 A CN 114007774A
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rolling
roll
vibration
rotation speed
amplitude
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CN114007774B (en
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石川英司
影平喜美
下釜宏德
吉川雅司
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Primetals Technologies Japan Ltd
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Primetals Technologies Japan Ltd
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B21MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21BROLLING OF METAL
    • B21B37/00Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
    • B21B37/46Roll speed or drive motor control
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B21MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21CMANUFACTURE OF METAL SHEETS, WIRE, RODS, TUBES OR PROFILES, OTHERWISE THAN BY ROLLING; AUXILIARY OPERATIONS USED IN CONNECTION WITH METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL
    • B21C51/00Measuring, gauging, indicating, counting, or marking devices specially adapted for use in the production or manipulation of material in accordance with subclasses B21B - B21F
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01HMEASUREMENT OF MECHANICAL VIBRATIONS OR ULTRASONIC, SONIC OR INFRASONIC WAVES
    • G01H17/00Measuring mechanical vibrations or ultrasonic, sonic or infrasonic waves, not provided for in the preceding groups

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  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Testing Of Devices, Machine Parts, Or Other Structures Thereof (AREA)
  • Measurement Of Mechanical Vibrations Or Ultrasonic Waves (AREA)
  • Control Of Metal Rolling (AREA)

Abstract

A state evaluation method for a rolling device, for evaluating a growth tendency of N-sided polygon with N-sided polygon formed by uneven wear of a roller of the rolling device, includes: a vibration data acquisition step of acquiring vibration data indicating vibration of the rolling roll for each of a plurality of sampling periods in rolling at the rotation speed fr of the rolling roll; an amplitude acquisition step of performing frequency analysis on each of the vibration data acquired in the plurality of sampling periods to acquire an amplitude of the vibration at a frequency corresponding to the N-polygon; and an evaluation step of evaluating a growth tendency of the N-edge formation of the rolling roll during rolling at the rotation speed fr based on a temporal change in the amplitude acquired for each of the vibration data.

Description

Method and device for evaluating state of rolling device, and rolling facility
Technical Field
The present disclosure relates to a state evaluation method and a state evaluation device for a rolling device, and a rolling facility.
Background
In rolling a metal plate or the like by a rolling apparatus including a rolling roll, the occurrence of a defect in a product to be rolled may be detected or suppressed based on a measurement result of vibration of the rolling apparatus.
For example, patent document 1 describes the following: vibration is detected by a vibration sensor provided in a housing or a roll chock of a rolling mill, and a resonance phenomenon (chattering) of the rolling mill, which causes a streak defect (chattermark) generated in a metal sheet to be rolled, is detected based on a result of frequency analysis of obtained vibration data.
Prior art documents
Patent document
Patent document 1: japanese patent laid-open publication No. 2018-118312
Disclosure of Invention
Problems to be solved by the invention
However, in a rolling apparatus including rolls, if the rolling of a material such as a metal plate is continued, an N-sided shape in which the cross-sectional shape of the rolls approaches a specific N-sided shape may be formed. If the roll is grown while forming an N-edge, the surface of the material rolled by the roll is formed with irregularities corresponding to the N-edge, which may cause a problem in the quality of the product. Therefore, it is desired to appropriately grasp the growth tendency of the roll to form an N-shape and suppress the quality degradation of the product.
In view of the above circumstances, an object of at least one embodiment of the present invention is to provide a state evaluation method and a state evaluation device for a rolling mill, and a rolling facility, which can appropriately evaluate the growth tendency of the N-edge formation of the rolling roll.
Means for solving the problem
A state evaluation method for a rolling device according to at least one embodiment of the present invention is a state evaluation method for evaluating a growth tendency of an N-sided polygon having an N-sided polygon formed by uneven wear of a roll of the rolling device, including:
a vibration data acquisition step of acquiring vibration data indicating vibration of the rolling roll for each of a plurality of sampling periods in rolling at the rotation speed fr of the rolling roll;
an amplitude acquisition step of performing frequency analysis on each of the vibration data acquired in the plurality of sampling periods to acquire an amplitude of the vibration at a frequency corresponding to the N-polygon; and
an evaluation step of evaluating a growth tendency of the N-edge formation of the rolling roll during rolling at the rotation speed fr based on a temporal change in the amplitude acquired for each of the vibration data.
Effect of invention
According to at least one embodiment of the present invention, a state evaluation method and a state evaluation device for a rolling device and a rolling facility are provided, which can appropriately evaluate the growth tendency of the N-shape formation of the rolling roll.
Drawings
Fig. 1 is a schematic diagram of a rolling facility to which a condition evaluation method and a condition evaluation device according to an embodiment are applied.
Fig. 2 is a schematic configuration diagram of a state evaluation device according to an embodiment.
Fig. 3 is a schematic flowchart of a state evaluation method according to an embodiment.
Fig. 4A is a graph schematically showing an example of temporal changes in the vibration amplitude a corresponding to the N-sided polygon in the roll.
Fig. 4B is a graph schematically showing an example of the relationship between the number of revolutions of the roll and time.
Fig. 5A is a schematic diagram showing an example of a frequency spectrum obtained by frequency analysis of vibration data of a roll.
Fig. 5B is a schematic diagram of an example of a frequency spectrum obtained by frequency analysis of vibration data of the rolling roll acquired in a sampling period after a time Δ t has elapsed from the sampling period of the vibration data shown in fig. 5A.
Fig. 6 is a diagram showing a typical example of the correlation (characteristic diagram) between the roll rotation speed fr and the characteristic value σ.
Fig. 7 is a schematic view of a rolling apparatus that produces N-sided shaping of the rolls.
Fig. 8 is a diagram showing an example of the evaluation result displayed on the display unit.
Detailed Description
Hereinafter, several embodiments of the present invention will be described with reference to the drawings. However, the dimensions, materials, shapes, relative arrangements, and the like of the constituent members described as the embodiments or shown in the drawings are not intended to limit the scope of the present invention to these, and are merely illustrative examples.
Fig. 1 is a schematic diagram of a rolling facility to which a state evaluation method and a state evaluation device according to some embodiments are applied. As shown in fig. 1, a rolling facility 1 according to an embodiment includes: a rolling device 2 including a rolling stand 10 configured to roll a metal sheet S; and a state evaluation device 50 for evaluating the state of the rolling device 2. The rolling mill 1 further includes a vibration measuring unit 90 for measuring the vibration of the rolls 3 constituting the rolling stand 10.
The rolling stand 10 includes a plurality of rolls 3 for rolling the metal plate S, a screw down device 8 for applying a load to the rolls 3 to screw down the metal plate S, a housing (not shown), and the like. The pressing means 8 may also comprise a hydraulic cylinder.
In the rolling apparatus 2 shown in fig. 1, the roll 3 includes: a pair of work rolls 4A, 4B provided so as to sandwich the metal sheet S; and a pair of backup rollers 6A and 6B provided on the opposite side of the metal sheet S with the pair of work rollers 4A and 4B therebetween and supporting the pair of work rollers 4A and 4B, respectively. The work rolls 4A and 4B are rotatably supported by roll chocks 5A and 5B, respectively. The backup rollers 6A and 6B are rotatably supported by roller bearing blocks 7A and 7B, respectively. The roller chocks 5A and 5B and the roller chocks 7A and 7B are supported by a housing (not shown).
In the rolling facility 1 shown in FIG. 1, the vibration measuring section 90 includes acceleration sensors 91 to 94 attached to the roll chocks 5A, 5B, 7A, and 7B, respectively. The acceleration sensors 91 to 94 are configured to detect vibrations in any direction (for example, the vertical direction, the horizontal direction, and/or the rotational axial direction of the roll 3) of the roll chocks 5A, 5B, 7A, and 7B, that is, vibrations in any direction of the work rolls 4A and 4B and the backup rolls 6A and 6B. The signals representing the vibrations detected by the acceleration sensors 91 to 94 are sent to the state evaluation device 50.
In another embodiment, the vibration measuring unit 90 may include a displacement detecting unit configured to measure a displacement of the roll 3 in any direction. In this case, the vibration of the roll 3 may also be calculated based on the measurement result of the displacement detection portion. As the displacement detecting unit, for example, a displacement meter of a laser type or an eddy current type can be used. Alternatively, an imaging device (such as a camera) can be used as the displacement detection unit. In this case, the vibration of the rolling roll 3 may be calculated by imaging a part of the rolling roll 3 by the imaging device and performing image processing on the obtained imaging data.
Fig. 2 is a schematic configuration diagram of a state evaluation device 50 according to an embodiment. As will be described later, the state evaluation device 50 is configured to evaluate the growth tendency of the N-shape due to the wear unevenness of the rolling rolls 3. The state evaluation device 50 is configured to receive a signal indicating the vibration of the roll 3 from the vibration measurement unit 90 and a signal indicating the rotation speed of the roll 3 measured by the roll rotation speed measurement unit 95. The state evaluating device 50 is configured to acquire steel grade data (material, hardness, etc.) of the metal sheet S rolled by the rolling device 2 from the steel grade data storage unit 96. The state evaluation device 50 includes a vibration data acquisition unit 52, a frequency analysis unit 54, an amplitude extraction unit 56, a characteristic value calculation unit 62, a correlation acquisition unit 66, an evaluation unit 68, and the like for processing the received information. The state evaluation device 50 includes an output unit 72 configured to output the evaluation result of the state evaluation device 50. The evaluation result of the state evaluation device 50 is output to a display unit 98 (display, etc.) via the output unit 72.
The state evaluation device 50 may include a CPU, a memory (RAM), an auxiliary storage unit, an interface, and the like. The state evaluation device 50 receives signals from various measuring instruments (the vibration measuring unit 90, the roller rotation speed measuring unit 95, and the like described above) via an interface. The CPU is configured to process the signal thus received. The CPU is configured to process a program developed in the memory.
The processing contents in the state evaluation device 50 are installed as a program executed by the CPU, and may be stored in the auxiliary storage unit. These programs are deployed in memory as the programs execute. The CPU reads out the program from the memory and executes the commands included in the program.
In the rolling device 2 described above, if the rolling of the metal sheet S is continued at a specific rotation speed, the sectional shape of the roll 3 may be formed into an N-sided shape close to a specific N-sided shape. Here, fig. 7 is a schematic diagram of a rolling apparatus in which the N-edge formation of the roll 3 is generated. The rolling apparatus 2 shown in fig. 7 includes a plurality of rolling stands 10A to 10C. The cross-sectional shape of the roll 3 orthogonal to the axial direction generally has a circular shape like the roll 3 of the rolling stand 10A or 10C, but the cross-sectional shape of the roll 3 (the work rolls 4A, 4B and the backup rolls 6A, 6B) of the rolling stand 10B shown in fig. 7 is an N-polygon (specifically, a dodecapolygon), and an N-polygon is formed in these rolls 3.
If the roll 3 grows by forming an N-sided shape, irregularities corresponding to the N-sided shape of the roll 3 are formed on the surface of the metal sheet S rolled by the roll 3, which may cause a problem in the quality of the product. Therefore, it is desired to appropriately grasp the growth tendency of the N-edge formation of the rolling rolls 3 and suppress the quality degradation of the product metal sheet. According to the state evaluation method of the rolling apparatus described below, the growth tendency of the roll 3 in the N-shape can be appropriately grasped.
In fig. 7, a schematic view of each roll 3 is shown in which a dodecagon (N is 12) is formed, but in an actual rolling device, an N-polygon having N of about 50 or about 100 may be formed in the roll 3 depending on operating conditions such as the number of revolutions of the roll 3.
Further, depending on the operating conditions and specifications (natural frequency, etc.) of the rolling device 2, the N-sided shape of the roll 3 may be formed in a specific stand 10, or the N-sided shape of a specific roll 3 (the work rolls 4A and 4B or the backup rolls 6A and 6B) may be formed in a plurality of rolls 3 constituting one stand. For example, in the case of hot rolling performed at a relatively high temperature, N-sided formation is relatively likely to occur in the work rolls 4A and 4B. In addition, when cold rolling is performed at a relatively low temperature, N-sided formation is relatively likely to occur in the backup rolls 6A and 6B.
Next, a state evaluation method of a rolling apparatus according to some embodiments will be described. By this state evaluation method, the growth tendency of the roll 3 (the work rolls 4A and 4B or the backup rolls 6A and 6B) to be N-sided shaped can be evaluated. In addition, although the method of evaluating the state of the rolling device using the state evaluation device 50 described above is described below, in some embodiments, the state of the rolling device may be evaluated by manually performing a part or all of the processing of the state evaluation device 50 described below.
Fig. 3 is a schematic flowchart of a state evaluation method of a rolling apparatus according to an embodiment.
In one embodiment, first, the vibration data acquiring unit 52 acquires vibration data indicating the vibration of the rolling roll 3 in a plurality of sampling periods during rolling at a specific rotation speed fr of the rolling roll 3 (vibration data acquiring step; step S102). As the vibration data, the vibration data measured by the vibration measuring unit 90 may be acquired online. Alternatively, the vibration data may be acquired by reading out, from the storage device, the vibration data that was measured by the vibration measuring unit 90 and stored in the storage device.
Next, the frequency analysis unit 54 performs frequency analysis on each of the vibration data acquired in the plurality of sampling periods (step S104). The amplitude extraction unit 56 acquires the amplitude a of the vibration at the frequency (fr × N) corresponding to the specific N-polygon (hereinafter, also referred to as the vibration amplitude a corresponding to the N-polygon, etc.) (amplitude acquisition step; step S106).
Then, the evaluation unit 68 evaluates the growth tendency of the roll 3 for the N-edge formation when rolling at the rotation speed fr of the roll 3, based on the temporal change in the vibration amplitude A acquired for each piece of vibration data in step S106 (evaluation step; step S112).
In one embodiment, the characteristic value calculation unit 62 may calculate a characteristic value σ of an index indicating a temporal change in the vibration amplitude a based on the vibration amplitude a obtained in step S106 and the like (characteristic value obtaining step; step S108). In this case, in step S112, the growth tendency of the N-edge shape of the roll 3 during rolling at the rotation speed fr of the roll 3 may be evaluated based on the characteristic value σ calculated in step S108.
In one embodiment, the correlation obtaining unit 66 may perform the above-described steps S102 to S108 at a plurality of rotation speeds fr of the roll 3, obtain the characteristic values σ corresponding to the respective rotation speeds fr, and obtain a characteristic map showing the correlation between the rotation speed fr and the characteristic value σ of the roll 3 (correlation obtaining step; step S110). In this case, in step S112, the growth tendency of the N-edge formation of the roll 3 during rolling at the rotation speed fr of the roll 3 may be evaluated based on the characteristic map (correlation) acquired in step S110.
That is, steps S108 and S110 in the flowchart of fig. 3 are arbitrary steps that can be executed as necessary.
Hereinafter, each step will be described more specifically.
As described above, in step S102, in the rolling at the specific rotation speed fr of the rolling roll 3, the vibration data indicating the vibration of the rolling roll 3 is acquired for each of the plurality of sampling periods.
Here, fig. 4A is a graph schematically showing an example of temporal changes in the vibration amplitude a corresponding to the specific N-shape of the roll 3 (the vibration amplitude corresponding to the vibration amplitude obtained in step S106). Fig. 4B is a graph schematically showing an example of the relationship between the time t and the rotation speed fr of the roll 3. The time axis (horizontal axis) of the graph of fig. 4A and the graph of fig. 4B is common.
As shown in fig. 4A and 4B, the tendency (increase or decrease, speed, etc.) of the vibration amplitude a with time corresponding to the specific N-polygon is different depending on the rotation speed fr of the roll 3. In the example shown in fig. 4A and 4B, the rolling is performed at the rotation speed fr1 of the roll 3 during the period from time t0 to time t1 (the length Δ t1 of the period) (see fig. 4B). During this period, the vibration amplitude a corresponding to the specific N-polygon shows a tendency to increase (see fig. 4A). This indicates that N-sided growth in the roll 3, that is, the shape of the cross section orthogonal to the axial direction of the roll 3 is deformed from a circle to an N-sided shape. At time t1, the rotation speed fr1 of roll 3 is changed to fr2 (where fr1 < fr2), and rolling is performed at the rotation speed fr2 of roll 3 during a period from time t1 to time t2 (the length Δ t2 of the period) (see fig. 4B). During this period, the vibration amplitude a corresponding to the specific N-polygon shows a tendency to decrease (see fig. 4A). This indicates that the roll 3 is N-sided in shape, i.e., the shape of the cross section orthogonal to the axial direction of the roll 3 is deformed from an N-sided shape to a nearly circular shape.
Therefore, if two different times t are obtained during rolling at a specific revolution fr of the rolling roll 3i、ti+1The vibration amplitude A corresponding to the N-polygoni、Ai+1Then by vibration amplitude AiAnd amplitude of vibration Ai+1The growth tendency of the roll 3 in the N-edge shape can be evaluated.
For example, in step S102, the vibration data is acquired during a sampling period including a time t0 and a sampling period including a time t1 (where t0 < t1) during rolling at the rotation speed fr1 of the roll 3 (see fig. 4A and 4B). Then, these vibration data are subjected to frequency analysis, and the vibration amplitude a0 corresponding to the N-polygon at time t0 and the vibration amplitude a1 corresponding to the N-polygon at time t1 are obtained (steps S104 and S106). Then, in step S112, the growth tendency of the roll 3 in the N-edge shape is evaluated by comparing the vibration amplitude a0 with the vibration amplitude a 1. More specifically, as shown in fig. 4A, since the vibration amplitude a1 is larger than the vibration amplitude a0, the vibration amplitude a corresponding to the N-polygon tends to increase at the rotation speed fr1 of the roll 3. That is, at the rotation speed fr1 of the roll 3, it can be evaluated that the roll 3 has N-edge shaped growth.
Similarly, the growth tendency of the N-edge shape of roll 3 can be evaluated by comparing vibration amplitude a1 corresponding to the N-edge shape at time t1 and vibration amplitude a2 corresponding to the N-edge shape at time t2, which are obtained using vibration data acquired during a sampling period including time t1 and a sampling period including time t2 (where t1 < t2) in rolling at rotation speed fr of roll 3. As shown in fig. 4A, since the vibration amplitude a2 is smaller than the vibration amplitude a1, the vibration amplitude a corresponding to the N-polygon tends to decrease at the rotation speed fr2 of the roll 3. Namely, it can be evaluated as: at the rotational speed fr2 of the roll 3, the N-edge of the roll 3 decays.
According to the above method, since the amplitude (vibration amplitude a) of the vibration having the frequency (fr × N) corresponding to the specific N-shape is obtained based on the vibration data obtained in the rolling of the metal sheet S at the specific rotation speed fr of the rolling roll 3, the growth tendency of the N-shape formation of the rolling roll 3 (for example, whether the N-shape formation grows or attenuates or the like) at the rotation speed fr of the rolling roll 3 can be evaluated based on the temporal change in the vibration amplitude a. Therefore, for example, based on the evaluation, the operation of the rolling device 2 is controlled without growing the N-shape of the rolling rolls 3, and thereby the quality of the product metal sheet can be suppressed from being degraded.
Here, fig. 5A is a schematic diagram of a frequency spectrum obtained by frequency-analyzing vibration data of the roll 3 acquired during a certain sampling period at a specific rotation speed fr of the roll 3. Fig. 5B is a schematic diagram of a frequency spectrum obtained by frequency-analyzing the vibration data of the rolling roll 3 acquired during the sampling period after the time Δ t has elapsed from the sampling period of the vibration data shown in fig. 5A at the same rotational speed fr. In fig. 5A and 5B, frequencies fr × (N-1), fr × N, and fr × (N +1) respectively represent the vibration frequencies corresponding to the (N-1) polygon, the N-polygon, and the (N +1) polygon.
As shown in fig. 5A and 5B, when rolling is performed at the same rotation speed fr, the growth tendency of some N-sided polygon (N1-sided polygon) and the growth tendency of other N-sided polygon (N2-sided polygon) are independent. In fig. 5A and 5B, when rolling at rotation speed fr continues for Δ t, the vibration amplitude a of the roll 3 corresponding to the N-polygonal shapeN(amplitude of vibration at frequency fr × N) from AN i(FIG. 5A) increases to AN i+1(FIG. 5B). In contrast to thisUnder the same conditions, the vibration amplitude A corresponding to the (N-1) side of the roll 3N-1(amplitude of vibration at frequency fr × (N-1)) from AN-1 i(FIG. 5A) is reduced to AN-1 i+1(FIG. 5B), and the vibration amplitude A corresponding to the (N +1) side of the roll 3N+1(amplitude of vibration at frequency fr × (N + 1)) from AN+1 i(FIG. 5A) is reduced to AN+1 i+1(FIG. 5B). That is, under the condition of the rotation speed fr of the roll 3, the roll 3 grows in the N-sided shape, and attenuates the (N-1) sided shape and the (N +1) sided shape.
On the other hand, at another rotation speed fr, the N-sided formation of the roll 3 is attenuated, but there may be a case where (N-1) sided formation or (N +1) sided formation is grown.
Therefore, for example, by changing the rotation speed fr of the roll 3 before the rolling at the rotation speed fr of the roll 3 excessively progresses the N-edge formation of the roll 3, the progress of the N-edge formation of the roll 3 can be suppressed appropriately. In addition, although the N-sided shape of roll 3 is attenuated during operation at the changed rotation speed, even in the case of (N +1) -sided shape growth, the progress of the (N +1) -sided shape of roll 3 can be appropriately suppressed by changing the rotation speed of roll 3 before the (N +1) -sided shape transition of roll 3 progresses.
In this way, by appropriately selecting the rotation speed fr of the roll 3 based on the evaluation result of the growth tendency of the N-polygonal shape, the polygonal shape of the roll 3 can be appropriately suppressed.
Next, the calculation of the characteristic value σ in step S108 will be described. According to the findings of the present inventors, in the rolling at the constant rotation speed fr, the vibration amplitude a corresponding to the N-polygon increases and decreases as an exponential function. The vibration amplitudes a0 and a1 corresponding to the N-sided polygon at the times t0 and t1 during rolling at the rotation speed fr1 of the roll 3 satisfy the relationship shown in the following expression (a).
A1=A0×exp(σ(Φ1)·fr1·Δt1) ...(A)
Further, the vibration amplitudes a1 and a2 corresponding to the N-sided polygon at the times t1 and t2 during rolling at the rotation speed fr2 of the roll 3 satisfy the relationship shown in the following expression (B).
A2=A1×exp(σ(Φ2)·fr2·Δt2) ...(B)
When the above formula (B) is summarized, the following formula (C) can be obtained.
Ai+1/Ai=exp(σ(Φi+1)·fri+1·Δti+1) ...(C)
When the natural logarithm of both sides of the above (C) is taken and sorted, the following formula (D) can be obtained.
σ(Φi+1)=ln(Ai+1/Ai)/(fri+1·Δti+1) ...(D)
Here, σ (Φ) in the above formulae (a) to (D)i) Is related to the rotational speed fr of the roll 3iA characteristic value determined correspondingly (hereinafter, also simply referred to as "characteristic value σ"). Further,. phi.,. phi.iIs formed by phii=friXN/fn (where fn is the natural frequency of the roll 3). N is a specific natural number (number of sides), and fn can be regarded as being substantially constant regardless of the material, thickness, etc. of the metal sheet to be rolled, and therefore Φ isiWith the rotational speed fr of the rolls 3iRoughly proportional.
Therefore, if two different times t are obtained during rolling at a specific revolution fr of the rolling roll 3i、ti+1The vibration amplitude A corresponding to the N-polygoni、Ai+1Then, the characteristic value σ corresponding to the rotation speed fr can be calculated from the above expression (D).
For example, in step S102, the vibration data is acquired during a sampling period including a time t1 and a sampling period including a time t2 during rolling at the rotational speed fr2 of the rolling roll. Then, these vibration data are subjected to frequency analysis, and the vibration amplitude a1 corresponding to the N-polygon at time t1 and the vibration amplitude a2 corresponding to the N-polygon at time t2 are obtained (steps S104 and S106). In step S108, σ (Φ)2 corresponding to the rotation speed fr2 can be calculated from these vibration amplitudes a1, a2, the rotation speed fr2 of the roll 3, and the length Δ t2 of the time between the two sampling periods.
Here, the length of time between the first sampling period (for example, the sampling period including the time t1) and the second sampling period (for example, the sampling period including the time t2) (hereinafter also referred to as a time difference between the sampling periods) Δ t may be, for example, a difference between start times of the respective sampling periods, a difference between end times of the respective sampling periods, or a difference between a start time of the first sampling period and an end time of the second sampling period, and is obtained by the same calculation method for each i.
When the characteristic value σ calculated by the above expression (D) is larger than zero, (a) in the right side of the above expression (D)i+1/Ai) Greater than 1. Therefore, the characteristic value σ being larger than zero indicates that the N-edge of the roll 3 grows at the rotation speed fr corresponding to σ. On the other hand, when the characteristic value σ calculated by the above expression (D) is smaller than zero, (a) in the right side of the above expression (D)i+1/Ai) Less than 1. Therefore, the characteristic value σ being smaller than zero means that the N-edge of the roll 3 is attenuated at the rotation speed fr corresponding to σ.
Thus, the ratio of the vibration amplitude A of the roll 3 corresponding to the N-sided polygon (A)i+1/Ai) This indicates a tendency of temporal change in the vibration amplitude a (increase or decrease in amplitude, etc.) between two sampling periods. Therefore, as described above, based on the ratio (A)i+1/Ai) The acquired characteristic value σ can be an index indicating a growth tendency of the roll 3 to form an N-shape (growth, attenuation, or the like of the N-shape) during rolling at the rotation speed fr of the roll 3. Therefore, by using the characteristic value σ, the growth tendency of the roll 3 in the N-edge formation at the rotation speed fr of the roll 3 can be appropriately evaluated.
The characteristic value σ calculated in the above expression (D) includes a time difference (Δ t) between sampling periods of the vibration data in a numerator on the right side of the above expression (D), and thus represents a change in vibration amplitude per unit time. Therefore, in the region where the characteristic value σ is positive, the increase rate of the vibration amplitude a corresponding to the N-gon becomes larger as the characteristic value σ becomes larger, and it can be evaluated that the growth rate of the N-gon of the roll 3 tends to be faster. In the region where the characteristic value σ is negative, the smaller the characteristic value σ, the greater the reduction rate of the vibration amplitude a corresponding to the N-gon, and it can be evaluated that the higher the damping rate of the N-gon formation of the roll 3 tends to be.
Thus, the vibration amplitude ratio (A) corresponding to the N-sided polygon of the roll 3 is determinedi+1/Ai) And a time difference Δ t between the two sampling periods, the degree of change in the amplitude per unit time between the two sampling periods is known. Therefore, the ratio (A) of the vibration amplitudesi+1/Ai) And the characteristic value σ obtained based on the time difference Δ t can be an index of the speed of growth or decay of the N-edge shape of the roll 3 during rolling at the rotation speed fr of the roll 3. Therefore, by using the characteristic value σ, the growth tendency of the roll 3 in the N-edge formation at the rotation speed fr of the roll 3 can be appropriately evaluated.
Next, the acquisition of the correlation (characteristic map) between the rotation speed fr and the characteristic value σ in step S110 (correlation acquisition step) will be described. In step S110, as described above, the above-described steps S102 to S118 are performed at the plurality of rotation speeds fr of the rolling roll 3, and the characteristic value σ corresponding to each of the plurality of rotation speeds fr is acquired. The combination of the rotation speed fr and the characteristic value σ thus obtained may be recorded in the recording unit 60 (see fig. 2). By plotting the combinations of the rotational speed fr and the characteristic value σ thus obtained on a graph, the correlation (characteristic map) between the rotational speed fr and the characteristic value σ can be obtained.
Fig. 6 is a diagram showing a typical example of the correlation (characteristic diagram) between the rotation speed fr and the characteristic value σ acquired in step S110. As described above, the parameter Φ (Φ ═ fr × N/fn) on the abscissa of the graph of fig. 6 is a parameter serving as an index of the rotation speed fr.
As shown in fig. 6, in the typical characteristic diagram, regardless of "N", there are the vicinity of Φ ═ 1 (i.e., the rotation speed fr at which the frequency fr × N corresponding to the N-sided polygon is equal to the natural frequency of the roll 3) and Φ (Φ ═ α 2 and Φ ═ α 1 in fig. 6) at which σ becomes zero in the region of Φ < 1 (i.e., the rotation speed).
Moreover, in the rotational speed region of α 1 < Φ < α 2, σ is larger than zero, and particularly, σ becomes extremely large at Φ ≈ α 2. That is, in this rotation speed region, the roll 3 grows (progresses) in an N-sided shape, and the growth rate of the N-sided shape of the roll 3 increases as σ increases. On the other hand, σ is smaller than zero in the rotation speed regions where Φ < α 1 and Φ > α 2. That is, in this rotation speed region, the N-edge shape of the roll 3 is attenuated, and the smaller σ is, the faster the attenuation speed of the N-edge shape of the roll 3 is. When σ is 0, the N-edge formation of the roll 3 is neither grown nor attenuated.
Once the above-described characteristic map (correlation) is acquired in step S110, the growth tendency of the N-edge shape of the roll 3 during rolling at the rotation speed fr of the roll 3 can be evaluated based on the characteristic map in step S112. That is, by using the characteristic map described above, σ corresponding to various rotation speeds fr of the roll 3 can be acquired, and therefore the growth tendency of the N-edge formation corresponding to a specific rotation speed of the roll 3 can be evaluated. Therefore, for example, σ corresponding to the current rotation speed of the roll 3 can be grasped, the growth tendency of the roll 3 in the N-shape at the current time can be grasped, or the growth tendency of the roll 3 in the N-shape at the rotation speed of the roll 3 to be changed to a predetermined value in the future can be predicted.
Further, depending on the steel type of the rolled metal sheet S, various characteristic patterns suitable for the respective steel types may be prepared. In this case, in step S110, the steel type data (including information on the material, hardness, and the like of each steel type) may be read from the steel type data storage unit 96 (see fig. 2), the combination of the rotation speed fr and the characteristic value σ may be recorded in the recording unit 60 (see fig. 2) together with the steel type data, and the characteristic map (the correlation between the rotation speed fr and the characteristic value σ) may be acquired for each steel type based on the recording.
In some embodiments, the evaluation result in step S112 may be output to the display unit 98 (display or the like) via the output unit 72 (see fig. 2).
Fig. 8 is a diagram showing an example of the evaluation result displayed on the display unit 98. In the example shown in fig. 8, the characteristic value σ corresponding to each of the plurality of types of N-polygons (N: 39, 40, 41) at the current rotation speed fr of the roll 3 is shown as a point on the graph together with the graph of the correlation between the rotation speed fr (i.e., #) and the characteristic value σ. Further, each N-polygon may be obtained as a graph showing a correlation between the rotation speed fr and the characteristic value σ, but if the graph is formed using a parameter Φ obtained by normalizing the rotation speed fr by the number of sides N and the natural frequency fn of the roll 3 as in the graph of fig. 8 (and fig. 6), curves (characteristic diagrams) regarding the correlations of a plurality of N-polygons may be substantially overlapped.
As can be seen from the graph of fig. 8, at the current rotation speed fr, since σ of N ═ 40 (forty-sided polygon) is larger than 0, the forty-sided polygon grows in the roll 3. As can be seen from this figure, at the current rotation speed fr, σ of N39 (thirty-nonagon) and N41 (tetraundegon) is smaller than 0, and therefore thirty-nonagon and forty-one side of the roll 3 are attenuated.
If the above correlation is obtained, for example, when the operation is continued under the same operation condition (the rotation speed of the rolling roll 3) as the current operation state, it is possible to predict the time when the vibration amplitude corresponding to the specific N-polygon reaches the threshold value. In some embodiments, during rolling at the rotation speed fr1 of the roll 3, the vibration data of the roll 3 is acquired during the sampling period including the time t1, and the vibration amplitude a1 corresponding to the N-polygon in the sampling period including the time t1 is acquired by performing frequency analysis. Then, based on the correlation between the rotation speed fr and the characteristic value σ acquired in step S110, it is calculated that the vibration amplitude reaches the threshold value a when the rolling at the rotation speed fr1 of the roll 3 is continued from the time t1thTime to Δ te
An example of a method of calculating the time Δ tc will be described. According to the formula (D), the characteristic value sigma is used as the ratio (A)i+1/Ai) Indicating the rotational speed fr of the roll 3i+1Middle and time Deltat of lower rollingi+1The amplitude of the signal changes during the period (c). Therefore, according to the equation (D), the vibration amplitude a corresponding to the N-polygon at a certain time point in the rolling at the rotation speed fr1 and the threshold value a of the vibration amplitude can be usedth(wherein A < A)th) And the amplitude of vibration changes from A to AthTime Δ t ofcThe characteristic value σ in rolling at the rotation speed fr1 is expressed as the following expression (E).
σ=ln(Ath/A1)/(fr1·Δtc) ...(E)
The above formula (E) is modified to obtain the following formula (F).
Δtc=ln(Ath/A1)/(σ·fr1) ...(F)
Therefore, from the above formula (F), (F) can be calculatedPredicted) from the vibration amplitude a1 corresponding to the N-polygon during rolling at the rotation speed fr1, i.e., the time t1 (e.g., the current time), until the vibration amplitude becomes the threshold value athThe length Δ tc of the time until the time of (2).
In the above-described embodiment, based on the above-described correlation between the rotation speed fr of the roll 3 and the characteristic value σ (correlation indicating the growth tendency of the N-edge of the roll), when the rolling is continued from the time t1 at the rotation speed fr1 of the roll 3, it is calculated (predicted) that the vibration amplitude of the roll 3 corresponding to the N-edge reaches the predetermined threshold value athTime to Δ tc. That is, the N-edge of the roll 3 is calculated to be a predetermined level (threshold A)th) Since the time until the calculated time elapses, it is possible to suppress the degree of N-edge formation of the roll 3 from becoming excessively large by changing the operating conditions (the roll rotation speed, etc.) or replacing the roll 3, for example. This can suppress the quality degradation of the product metal sheet after rolling.
In some embodiments, after the correlation (characteristic diagram) between the rotation speed fr of the roll 3 and the characteristic value σ is obtained, the correction unit 70 (see fig. 2) may correct the correlation (characteristic diagram) based on the data on the vibration amplitude corresponding to the N-polygon obtained from the vibration data obtained during rolling using the roll 3.
Here, an example of the procedure of correcting the correlation will be described. According to the equation (D), the characteristic value σ during rolling at the rotation speed fr1 can be expressed as the following equation (G) by using the vibration amplitude a1 corresponding to the N-gon at the time t1 during rolling at the rotation speed fr1, the vibration amplitude a2 corresponding to the N-gon at the time t2 (where t1 < t2) during rolling at the rotation speed fr1, and the time difference Δ t between the times t1 and t2(Δ t is t2-t 1).
σ=ln(A2/A1)/(fr1·Δt) ...(G)
Therefore, according to the above equation (G), the characteristic value σ can be calculated based on the rotation speed fr1 of the roll, the above-described vibration amplitude a1 at the time t1, the above-described vibration amplitude a2 at the time t2, and the measured values of the time difference Δ t at the times t1 and t 2. That is, with respect to the characteristic value σ corresponding to the rotation speed fr1 of the roll 3, both the characteristic value σ based on the actual measurement value (value calculated according to the above expression (G)) and the characteristic value σ based on the correlation (characteristic map) can be obtained. Therefore, by correcting the correlation (characteristic map) based on the characteristic value σ based on the actual measurement value, a correlation (characteristic map) with higher accuracy can be obtained.
According to the above embodiment, after the correlation (characteristic map) between the rotation speed fr of the roll 3 and the characteristic value σ is obtained, the correlation between the rotation speed fr and the characteristic value σ is corrected based on the data on the amplitude of the vibration of the roll 3 at the frequency corresponding to the N-gon, which is obtained from the vibration data obtained in the actual rolling using the roll 3, and therefore the growth tendency of the N-gon of the roll 3 based on the correlation can be evaluated with higher accuracy.
In the above description, the embodiment (see fig. 1) in which the vibration measuring unit 90 (specifically, the acceleration sensors 91 to 94) attached to the roll chocks (the roll chocks 5A, 5B, 7A, or 7B) of the backup rolls 3 is used to acquire data indicating the vibration of the respective rolls 3 (the work rolls 4A, 4B or the backup rolls 6A, 6B) has been described, but the mode of the vibration measuring unit 90 is not limited thereto.
For example, in some embodiments, the vibration measuring unit may be configured to detect vibration of the housing supporting the roll 3 (the work rolls 4A and 4B and the backup rolls 6A and 6B). In this case, the growth tendency of the N-edge formation of the roll 3 supported by the shell can be evaluated based on the vibration data obtained by the vibration measuring unit. For example, N-edge shaped growth or degradation can be detected in any one of the plurality of rolls 3 supported by the housing, for example, in any one of the rolls 3. In this way, after a rolling stand including a shell for detecting the growth of the roll 3 in the N-shape is specified, a vibration measuring unit may be provided for each of the plurality of rolls 3 included in the rolling stand, and the growth tendency of the roll 3 in the N-shape may be evaluated.
Hereinafter, a state evaluation method and a state evaluation device of a rolling device and a rolling facility according to some embodiments will be described in brief.
(1) A method for evaluating a state of a rolling mill according to at least one embodiment of the present invention is a method for evaluating a growth tendency of an N-polygonal shape in which a roll of the rolling mill is unevenly worn and becomes an N-polygonal shape, and includes:
a vibration data acquisition step of acquiring vibration data indicating vibration of the rolling roll for each of a plurality of sampling periods in rolling at the rotation speed fr of the rolling roll;
an amplitude acquisition step of performing frequency analysis on each of the vibration data acquired in the plurality of sampling periods to acquire an amplitude of the vibration at a frequency corresponding to the N-polygon; and
an evaluation step of evaluating a growth tendency of the N-edge formation of the rolling roll during rolling at the rotation speed fr based on a temporal change in the amplitude acquired for each of the vibration data.
The present inventors have conducted intensive studies and, as a result, have found that: in the case of N-sided polygonal growth of the roll during rolling, the amplitude of a frequency component corresponding to the N-sided shape included in the vibration of the roll increases with time; when the N-sided shape of the roll is attenuated during rolling, the amplitude of the frequency component corresponding to the N-sided shape included in the roll vibration decreases with time.
In this regard, according to the method of the above (1), since the amplitude of the vibration at the frequency corresponding to the specific N-gon is obtained based on the vibration data obtained in the rolling of the material (metal plate or the like) at the specific rotation speed fr of the roll, the growth tendency of the N-gon of the roll at the rotation speed fr of the roll (for example, whether the N-gon grows or attenuates or the like) can be evaluated based on the temporal change of the amplitude. Therefore, for example, based on the evaluation, the operation of the rolling mill is controlled so that the N-edge of the rolling roll does not grow, thereby suppressing the quality of the product metal sheet from being degraded.
(2) In several embodiments, in the method of (1) above,
further comprising a characteristic value acquisition step of acquiring, with respect to the vibration data acquired in the vibration data acquisition step in two different sampling periods, a characteristic value σ of an index indicating a temporal change in amplitude of vibration of the roll at a frequency corresponding to the N-gon in the rolling at the rotation speed fr, based on a ratio of the amplitudes acquired in the amplitude acquisition step,
in the evaluation step, the growth tendency of the N-shape formation during rolling at the rotation speed fr is evaluated based on the characteristic value σ.
In the method of the above (2), the characteristic value σ is obtained based on the ratio of the amplitudes of the vibrations of the roll at the frequencies corresponding to the N-polygon, which are obtained from the vibration data obtained in the two different sampling periods in the rolling at the rotation speed fr of the roll. Since the ratio of the amplitude of the vibration at the frequency described above indicates a tendency of the amplitude of the vibration at the frequency described above to change with time (increase or decrease in amplitude, etc.) between two sampling periods, the characteristic value σ obtained based on the ratio can be an index indicating a growth tendency of the N-edge formation of the roll during rolling at the rotation speed fr of the roll (growth or attenuation of the N-edge formation, etc.). Therefore, according to the configuration of the above (2), the growth tendency of the roll in the N-edge formation at the rotation speed fr of the roll can be appropriately evaluated.
(3) In several embodiments, in the method of (2) above,
in the characteristic value acquisition step, the characteristic value σ is acquired based on the ratio of the amplitudes and the length of time between the two different sampling periods.
In the method of the above (3), the characteristic value σ is obtained based on the ratio of the amplitudes of the vibrations of the rolling roll at the frequencies corresponding to the N-polygon, which are obtained from the vibration data obtained in the two different sampling periods during the rolling at the rotation speed fr of the rolling roll, and the length of time between the two sampling periods (time difference between the two sampling periods). That is, since the degree of change per unit time of the amplitude between two sampling periods is known from the ratio of the amplitude and the time difference, the ratio of the amplitude and the characteristic value σ obtained based on the time difference can be an index of the speed of growth or decay of the N-edge formation of the roll in the rolling at the rotation speed fr of the roll. Therefore, according to the configuration of the above (3), the growth tendency of the roll in the N-edge formation at the rotation speed fr of the roll can be appropriately evaluated.
(4) In several embodiments, in the method of (2) or (3) above,
the method further includes a correlation obtaining step of obtaining a correlation between the rotation speed fr of the roll and the characteristic value σ by executing the vibration data obtaining step, the amplitude obtaining step, and the characteristic value obtaining step for a plurality of different rotation speeds of the roll.
According to the method of the above (4), the characteristic value σ is acquired by executing the vibration data acquisition step, the amplitude acquisition step, and the characteristic value acquisition step for each of the plurality of rotation speeds fr, and the correlation between the rotation speed fr and the characteristic value σ is acquired from a plurality of combinations of the rotation speeds fr and the characteristic value σ thus acquired. Therefore, based on the correlation between the rotation speed fr and the characteristic value σ thus obtained, the growth tendency of the roll in the N-shape can be appropriately evaluated. Therefore, for example, whether or not the N-sided shape of the roll is growing under a specific operating condition (roll rotation speed or the like) or how much the growth rate of the N-sided shape of the roll is growing can be evaluated, and based on the evaluation result, an operating condition (roll rotation speed or the like) under which the N-sided shape of the roll is not progressing can be selected. This can suppress the quality degradation of the product metal sheet after rolling.
(5) In several embodiments, in the method of (4) above,
the method comprises a step of acquiring the amplitude of the vibration in a sampling period including a time t1 based on the vibration data acquired during rolling at the rotation speed fr1 of the rolling roll,
in the evaluation step, based on the correlation, a time until the amplitude reaches a threshold value when the rolling at the rotation speed fr1 is continued from the time t1 is calculated.
According to the method of the above (5), the amplitude a1 of the vibration corresponding to the N-polygon of the roll at the time t1 is obtained from the vibration data at the time t1 during rolling at the roll rotation speed fr 1. Then, based on the above-described correlation between the rotation speed fr and the characteristic value σ (correlation indicating the growth tendency of the N-shape of the roll), when the rolling is continued from the time t1 at the rotation speed fr1 of the roll, the time until the amplitude of the vibration corresponding to the N-shape of the roll reaches the predetermined threshold value is calculated (predicted). That is, since the time until the N-shape of the roll reaches a predetermined level is calculated, it is possible to suppress the N-shape of the roll from becoming excessively large by changing the operating conditions (the number of revolutions of the roll, etc.) or replacing the roll before the calculated time elapses, for example. This can suppress the quality degradation of the product metal sheet after rolling.
(6) In several embodiments, in the method of (4) or (5) above,
the method includes the step of correcting the correlation based on data on the amplitude of the vibration obtained from the vibration data obtained in the rolling using the rolling roll after the correlation is obtained.
According to the method of the above (6), after the correlation is obtained, the correlation between the rotation speed fr and the characteristic value σ is corrected based on the data on the amplitude of the vibration of the roll at the frequency corresponding to the N-gon, which is obtained from the vibration data obtained in the rolling process in which the roll is actually used.
(7) A state evaluation device for a rolling device according to at least one embodiment of the present invention is a state evaluation device for evaluating a growth tendency of N-polygonal formation due to uneven wear of a roll of the rolling device, including:
a vibration data acquisition unit configured to acquire vibration data indicating vibration of the rolling roll for each of a plurality of sampling periods during rolling at a rotation speed fr of the rolling roll;
an amplitude extraction unit configured to perform frequency analysis on each of the vibration data acquired during the plurality of sampling periods, and acquire an amplitude of the vibration at a frequency corresponding to the N-polygon;
an evaluation unit configured to evaluate a growth tendency of the N-edge formation of the rolling roll during rolling at the rotation speed fr based on a temporal change in the amplitude acquired for each of the vibration data; and
and an output unit that outputs the evaluation result of the evaluation unit.
According to the configuration of the above (7), since the amplitude of the vibration at the frequency corresponding to the specific N-gon is obtained based on the vibration data obtained in the rolling of the material (metal plate or the like) at the specific rotation speed fr of the rolling roll, the growth tendency of the N-gon of the rolling roll at the rotation speed fr of the rolling roll (for example, whether the N-gon grows or attenuates or the like) can be evaluated based on the temporal change of the amplitude. Therefore, for example, based on the evaluation, the operation of the rolling mill is controlled so that the N-edge of the rolling roll does not grow, thereby suppressing the quality of the product metal sheet from being degraded.
(8) A rolling facility according to at least one embodiment of the present invention includes:
a rolling device including a roll for rolling a metal plate; and
the condition evaluating device described in (7) above, configured to evaluate a growth tendency of the N-edge due to the wear unevenness of the rolling rolls.
According to the configuration of the above (8), since the amplitude of the vibration at the frequency corresponding to the specific N-gon is obtained based on the vibration data obtained in the rolling of the material (metal plate or the like) at the specific rotation speed fr of the rolling roll, the growth tendency of the N-gon of the rolling roll at the rotation speed fr of the rolling roll (for example, whether the N-gon grows or attenuates or the like) can be evaluated based on the temporal change of the amplitude. Therefore, for example, based on the evaluation, the operation of the rolling mill is controlled so that the N-edge of the rolling roll does not grow, thereby suppressing the quality of the product metal sheet from being degraded.
While the embodiments of the present invention have been described above, the present invention is not limited to the above embodiments, and includes a mode in which the above embodiments are modified and a mode in which these modes are appropriately combined.
In the present specification, expressions indicating relative or absolute arrangement such as "in a certain direction", "along a certain direction", "parallel", "orthogonal", "central", "concentric", or "coaxial" indicate not only such arrangement strictly, but also a state of relative displacement with a tolerance or an angle or a distance to the extent that the same function can be obtained.
For example, expressions indicating states in which objects are equal, such as "identical", "equal", and "homogeneous", indicate not only states in which objects are exactly equal but also states in which there is a tolerance or a difference in the degree to which the same function can be obtained.
In the present specification, the expression "a shape such as a square shape or a cylindrical shape" means not only a shape such as a square shape or a cylindrical shape in a strict geometrical sense but also a shape including a concave-convex portion, a chamfered portion, and the like within a range where the same effect can be obtained.
In the present specification, the expression "including", or "having" one structural element does not exclude an exclusive expression of the presence of other structural elements.
-description of symbols-
1 Rolling plant
2 Rolling device
3 roll
4A, 4B working roll
5A, 5B roller bearing seat
6A, 6B backup roll
7A, 7B roller bearing seat
8 screwdown gear
10. 10A-10C rolling platform
50 state evaluation device
52 vibration data acquisition unit
54 frequency analysis unit
56 amplitude extracting part
60 recording part
62 characteristic value calculating part
66 correlation obtaining part
68 evaluation unit
70 correction unit
72 output part
90 vibration measuring part
91-94 acceleration sensor
95 roller rotation speed measuring part
96 steel grade data storage part
98 display part
And (S) a metal plate.

Claims (8)

1. A state evaluation method for a rolling device, which is used for evaluating the growth tendency of N-shaped polygons formed by uneven wear of rollers of the rolling device, and comprises the following steps:
a vibration data acquisition step of acquiring vibration data indicating vibration of the rolling roll for each of a plurality of sampling periods in rolling at the rotation speed fr of the rolling roll;
an amplitude acquisition step of performing frequency analysis on each of the vibration data acquired in the plurality of sampling periods to acquire an amplitude of the vibration at a frequency corresponding to the N-polygon; and
an evaluation step of evaluating a growth tendency of the N-edge formation of the rolling roll during rolling at the rotation speed fr based on a temporal change in the amplitude acquired for each of the vibration data.
2. The condition evaluation method of a rolling apparatus according to claim 1,
further comprising a characteristic value acquisition step of acquiring, with respect to the vibration data acquired in the vibration data acquisition step in two different sampling periods, a characteristic value σ of an index indicating a temporal change in amplitude of vibration of the roll at a frequency corresponding to the N-gon in the rolling at the rotation speed fr, based on a ratio of the amplitudes acquired in the amplitude acquisition step,
in the evaluation step, the growth tendency of the N-shape formation during rolling at the rotation speed fr is evaluated based on the characteristic value σ.
3. The condition evaluation method of a rolling apparatus according to claim 2,
in the characteristic value acquisition step, the characteristic value σ is acquired based on the ratio of the amplitudes and the length of time between the two different sampling periods.
4. The state evaluation method of a rolling apparatus according to claim 2 or 3,
the method further includes a correlation obtaining step of obtaining a correlation between the rotation speed fr of the roll and the characteristic value σ by executing the vibration data obtaining step, the amplitude obtaining step, and the characteristic value obtaining step for a plurality of different rotation speeds of the roll.
5. The condition evaluation method of a rolling apparatus according to claim 4,
the method comprises a step of acquiring the amplitude of the vibration in a sampling period including a time t1 based on the vibration data acquired during rolling at the rotation speed fr1 of the rolling roll,
in the evaluation step, based on the correlation, a time until the amplitude reaches a threshold value when the rolling at the rotation speed fr1 is continued from the time t1 is calculated.
6. The state evaluation method of a rolling apparatus according to claim 4 or 5,
the method includes the step of correcting the correlation based on data on the amplitude of the vibration obtained from the vibration data obtained in the rolling using the rolling roll after the correlation is obtained.
7. A state evaluation device of a rolling device for evaluating the growth tendency of N-shaped polygons formed by uneven wear of a roller, comprising:
a vibration data acquisition unit configured to acquire vibration data indicating vibration of the rolling roll for each of a plurality of sampling periods during rolling at a rotation speed fr of the rolling roll;
an amplitude extraction unit configured to perform frequency analysis on each of the vibration data acquired during the plurality of sampling periods, and acquire an amplitude of the vibration at a frequency corresponding to the N-polygon;
an evaluation unit configured to evaluate a growth tendency of the N-edge shape of the rolling roll during rolling at the rotation speed fr based on a temporal change in the amplitude acquired for each of the vibration data; and
and an output unit that outputs the evaluation result of the evaluation unit.
8. A rolling facility is provided with:
a rolling device including a roll for rolling a metal plate; and
the condition evaluating apparatus according to claim 7, configured to evaluate a growth tendency of the N-shape due to uneven wear of the roll.
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