CN114007774B - State evaluation method and state evaluation device for rolling device and rolling equipment - Google Patents

State evaluation method and state evaluation device for rolling device and rolling equipment Download PDF

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Publication number
CN114007774B
CN114007774B CN201980097273.3A CN201980097273A CN114007774B CN 114007774 B CN114007774 B CN 114007774B CN 201980097273 A CN201980097273 A CN 201980097273A CN 114007774 B CN114007774 B CN 114007774B
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roll
rolling
vibration
amplitude
edge
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CN114007774A (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 method for evaluating the state of a rolling device for evaluating the tendency of N-edge formation of N-edge due to uneven wear of rolls of the rolling device, comprising: a vibration data acquisition step of acquiring vibration data indicating vibration of the roll in each of a plurality of sampling periods during rolling at the rotational speed fr of the roll; an amplitude acquisition step of performing frequency analysis on each of the vibration data acquired during 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 roll at the time of rolling at the rotation speed fr based on the time-dependent change of the amplitude acquired for each of the vibration data.

Description

State evaluation method and state evaluation device for rolling device and rolling equipment
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 of a metal plate or the like by a rolling device including rolls, occurrence of defects in a rolled product may be detected or suppressed based on measurement results of vibrations of the rolling device.
For example, patent document 1 describes the following: vibration is detected by vibration sensors provided in a housing and a roll bearing housing of a rolling mill, and a resonance phenomenon (vibration) of the rolling mill, which causes streak-like flaws (chat marks) in a metal sheet to be rolled, is detected based on a result of frequency analysis of the obtained vibration data.
Prior art literature
Patent literature
Patent document 1: japanese patent application laid-open No. 2018-118312
Disclosure of Invention
Problems to be solved by the invention
However, in a rolling apparatus including rolls, if rolling of a material such as a metal plate is continued, N-edge formation may occur in which the cross-sectional shape of the rolls approximates to a specific N-edge shape. If N-edge formation of the roll occurs and grows, irregularities of the roll corresponding to the N-edge are formed on the surface of the material rolled by the roll, which may cause a problem in quality of the product. Therefore, it is desirable to appropriately grasp the growth tendency of the N-edge formation of the roll and suppress the degradation of the product quality.
In view of the above, 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 apparatus, and a rolling facility, which can appropriately evaluate the growth tendency of N-edge formation of a roll.
Means for solving the problems
The state evaluation method of a rolling device according to at least one embodiment of the present invention is for evaluating a tendency of N-edge formation of N-edge due to uneven roll wear in a rolling device, and includes:
a vibration data acquisition step of acquiring vibration data indicating vibration of the roll in each of a plurality of sampling periods during rolling at the rotational speed fr of the roll;
an amplitude acquisition step of performing frequency analysis on each of the vibration data acquired during the plurality of sampling periods to acquire an amplitude of the vibration at a frequency corresponding to the N-polygon; and
and an evaluation step of evaluating a growth tendency of the N-edge formation of the roll at the time of rolling at the rotation speed fr based on the time-dependent change of the amplitude acquired for each of the vibration data.
Effects of the invention
According to at least one embodiment of the present invention, a state evaluation method and a state evaluation device for a rolling apparatus, and a rolling facility are provided that can appropriately evaluate the growth tendency of N-banding of a roll.
Drawings
Fig. 1 is a schematic diagram of a rolling mill to which a state evaluation method and a state 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 the change with time of the vibration amplitude a corresponding to the N-edge shape in the roll.
Fig. 4B is a graph schematically showing an example of the relationship between the rotational speed 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 showing an example of a frequency spectrum obtained by frequency analysis of vibration data of a roll obtained in a sampling period after a time Δt has elapsed from the sampling period of vibration data shown in fig. 5A.
Fig. 6 is a diagram showing a typical example of the correlation (characteristic diagram) between the rotation speed fr of the roll and the characteristic value σ.
Fig. 7 is a schematic view of a rolling apparatus that produces N-banding of rolls.
Fig. 8 is a view showing an example of the evaluation result displayed on the display unit.
Detailed Description
Several embodiments of the present invention will be described below with reference to the accompanying drawings. However, the dimensions, materials, shapes, relative arrangements, and the like of the constituent members described in the embodiments or shown in the drawings are not intended to limit the scope of the present invention to these, but are merely illustrative examples.
Fig. 1 is a schematic diagram of a rolling mill to which a state evaluation method and a state evaluation device according to several embodiments are applied. As shown in fig. 1, a rolling mill 1 according to an embodiment includes: the rolling device 2 includes a rolling stand 10 configured to roll the 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 vibrations of the rolls 3 constituting the rolling stand 10.
The rolling stand 10 includes a plurality of rolls 3 for rolling the metal sheet S, a rolling device 8 for rolling the metal sheet S by applying a load to the rolls 3, a housing (not shown), and the like. The pressing means 8 may also comprise a hydraulic cylinder.
In the rolling device 2 shown in fig. 1, the roll 3 includes: a pair of work rolls 4A, 4B provided with a metal plate S interposed therebetween; and a pair of backup rollers 6A, 6B provided on opposite sides of the metal plate S with the pair of work rollers 4A, 4B interposed therebetween and supporting the pair of work rollers 4A, 4B, respectively. The work rolls 4A and 4B are rotatably supported by roll bearing blocks 5A and 5B, respectively. The backup rollers 6A and 6B are rotatably supported by roller bearings 7A and 7B, respectively. The roller bearing blocks 5A, 5B and the roller bearing blocks 7A, 7B are supported by a housing (not shown).
In the rolling mill 1 shown in fig. 1, the vibration measuring unit 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 of the roller bearing blocks 5A, 5B, 7A, 7B (for example, vertical direction, horizontal direction, and/or rotational axis direction of the roll 3), that is, vibrations in any direction of the work rolls 4A, 4B and the backup rolls 6A, 6B, respectively. The signals indicating the vibrations detected by the acceleration sensors 91 to 94 are transmitted to the state evaluation device 50.
In other embodiments, the vibration measuring unit 90 may include a displacement detecting unit configured to measure displacement of the roll 3 in any direction. In this case, the vibration of the roll 3 may be calculated based on the measurement result of the displacement detection unit. As the displacement detecting section, for example, a laser type displacement meter, an eddy current type displacement meter, or the like can be used. Alternatively, an imaging device (camera or the like) can be used as the displacement detection unit. In this case, the vibration of the roll 3 may be calculated by imaging one portion of the roll 3 with an 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 described later, the state evaluation device 50 is configured to evaluate the tendency of N-edge growth due to uneven wear of the roll 3. The state evaluation device 50 is configured to receive a signal indicating the vibration of the roll 3 from the vibration measuring unit 90 and a signal indicating the rotational speed of the roll 3 measured by the roll rotational speed measuring unit 95. The state evaluation 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 for processing the received information, 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. The state evaluation device 50 further includes an output unit 72 configured to output an evaluation result of the state evaluation device 50. The evaluation result of the state evaluation device 50 is output to a display unit 98 (a display or the like) 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 devices (the vibration measuring unit 90, the roller rotation speed measuring unit 95, and the like) via an interface. The CPU is configured to process the signal thus received. Further, the CPU is configured to process a program developed in the memory.
The processing content in the state evaluation device 50 may be installed as a program executed by the CPU, or may be stored in the auxiliary storage unit. As the programs execute, they are spread out in memory. The CPU reads out the program from the memory and executes the command included in the program.
In the rolling device 2 described above, if the rolling of the metal sheet S is continued at a specific rotational speed, N-edge formation may occur in which the cross-sectional shape of the roll 3 approaches a specific N-edge shape. Fig. 7 is a schematic diagram of a rolling apparatus in which N-edge formation of the roll 3 is performed. The rolling device 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 is generally circular 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-sided shape (specifically, a dodecagon shape), and N-sided shaping occurs in these rolls 3.
If the roll 3 grows by forming N-edge, irregularities corresponding to the N-edge of the roll 3 may be formed on the surface of the metal sheet S rolled by the roll 3, which may cause a problem in quality of the product. Therefore, it is desirable to appropriately grasp the growth tendency of the N-edge formation of the roll 3 and suppress the quality degradation of the product sheet metal. According to the state evaluation method of the rolling apparatus described below, the growth tendency of the N-edge formation of the roll 3 can be grasped appropriately.
Fig. 7 schematically shows a case where dodecagonalization (n=12) occurs in each roll 3, but in an actual rolling apparatus, N-sided shapes with N of about 50 or about 100 may occur in the roll 3, although the operation conditions such as the rotation speed of the roll 3 are also dependent on the operation conditions.
Depending on the operating conditions and specifications (natural frequency, etc.) of the rolling apparatus 2, N-banding of the rolls 3 may be generated in a specific roll stand 10, or N-banding may be generated in a specific roll 3 (work rolls 4A and 4B or backup rolls 6A and 6B) among the plurality of rolls 3 constituting one roll stand. For example, in the case of hot rolling performed at a relatively high temperature, N-banding is relatively likely to occur in the work rolls 4A, 4B. Further, when cold rolling is performed at a relatively low temperature, N-banding is relatively likely to occur in the backup rolls 6A and 6B.
Next, a method for evaluating the state of a rolling mill according to several embodiments will be described. By this state evaluation method, the tendency of N-edge formation of the roll 3 (the work rolls 4A and 4B or the backup rolls 6A and 6B) to grow can be evaluated. In the following, a method of evaluating the state of the rolling mill using the state evaluating device 50 is described, but in several embodiments, the state of the rolling mill may be evaluated by manually performing part or all of the processing of the state evaluating device 50 described below.
Fig. 3 is a schematic flowchart of a state evaluation method of a rolling device according to an embodiment.
In one embodiment, first, vibration data representing vibration of the roll 3 in a plurality of sampling periods is acquired by the vibration data acquisition unit 52 during rolling at a specific rotational speed fr of the roll 3 (vibration data acquisition step; step S102). As the vibration data, vibration data measured by the vibration measuring unit 90 may be obtained on line. Alternatively, the vibration data that has been measured by the vibration measuring unit 90 and stored in the storage device may be read out from the storage device.
Next, the frequency analysis unit 54 performs frequency analysis on the vibration data acquired during a plurality of sampling periods (step S104). The amplitude extraction unit 56 obtains 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.) based on the frequency spectrum obtained as a result of the frequency analysis (amplitude obtaining step; step S106).
Then, the evaluation unit 68 evaluates the tendency of the N-edge of the roll 3 to grow when rolling is performed at the rotation speed fr of the roll 3 based on the change with time of the vibration amplitude a acquired for each of the vibration data in step S106 (evaluation step; step S112).
In one embodiment, the characteristic value calculating unit 62 may calculate the characteristic value σ of the index indicating the change with time of the vibration amplitude a based on the vibration amplitude a or the like obtained in step S106 (characteristic value obtaining step; step S108). In this case, in step S112, the growth tendency of the N-edge of the roll 3 at the time of 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 above steps S102 to S108 may be performed at a plurality of rotation speeds fr of the roll 3 by the correlation obtaining unit 66, and the characteristic value σ corresponding to each of the plurality of rotation speeds fr may be obtained, and a characteristic map indicating the correlation between the rotation speed fr of the roll 3 and the characteristic value σ may be obtained (correlation obtaining step; step S110). In this case, in step S112, the growth tendency of the N-edge of the roll 3 at the time of rolling at the rotation speed fr of the roll 3 may be evaluated based on the characteristic map (correlation) obtained in step S110.
That is, step S108 and step S110 in the flowchart of fig. 3 are arbitrary steps that can be executed as needed.
Hereinafter, each step will be described in more detail.
As described above, in step S102, during rolling at the specific rotational speed fr of the roll 3, vibration data indicating vibration of the roll 3 is acquired for each of a plurality of sampling periods.
Here, fig. 4A is a graph schematically showing an example of the change with time of the vibration amplitude a (the vibration amplitude corresponding to the vibration amplitude obtained in step S106) corresponding to the specific N-polygon in the roll 3. Fig. 4B is a graph schematically showing an example of the relationship between time t and rotational speed fr of roll 3. The graph of fig. 4A and the graph of fig. 4B share a time axis (horizontal axis).
As shown in fig. 4A and 4B, the tendency (increase or decrease, the speed thereof, and the like) of the change with time of the vibration amplitude a 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 for a period from time t0 to time t1 (the length Δt1 of the period) (see fig. 4B). In this period, the vibration amplitude a corresponding to the specific N-polygon shows a tendency to increase (see fig. 4A). This means that N-sided growth occurs 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 circular shape to a nearly N-sided shape. At time t1, the rotational speed fr1 of the roll 3 is changed to fr2 (where fr1 < fr 2), and the roll is rolled at the rotational speed fr2 of the roll 3 for a period from time t1 to time t2 (the length Δt2 of the period) (see fig. 4B). In this period, the vibration amplitude a corresponding to the specific N-polygon shows a tendency to decrease (see fig. 4A). This means that the roll 3 deforms in an N-polygonal shape, that is, the shape of the cross section orthogonal to the axial direction of the roll 3 is deformed from an N-polygonal shape to a nearly circular shape.
Therefore, if two different times t are obtained during rolling at the specific rotation speed fr of the roll 3 i 、t i+1 Vibration amplitude A corresponding to N-sided shape of (C) i 、A i+1 Then through vibration amplitude A i And vibration amplitude A i+1 Can evaluate the tendency of the roll 3 to develop N-sidedness.
For example, in step S102, vibration data is acquired during a sampling period including time t0 during rolling at the rotational speed fr1 of the roll 3 and during a sampling period including time t1 (where t0 < t 1) (see fig. 4A and 4B). Then, these vibration data are subjected to frequency analysis, and vibration amplitude A0 corresponding to the N-polygon at time t0 and 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 N-edge of the roll 3 is evaluated by comparing the vibration amplitude A0 and the vibration amplitude A1. More specifically, as shown in fig. 4A, the vibration amplitude A1 is larger than the vibration amplitude A0, and therefore, the vibration amplitude a corresponding to the N-sided shape tends to increase at the rotation speed fr1 of the roll 3. That is, the N-edge growth of the roll 3 can be evaluated at the rotation speed fr1 of the roll 3.
Similarly, by comparing the vibration amplitude A1 corresponding to the N-edge at the time t1 and the vibration amplitude A2 corresponding to the N-edge at the time t2 obtained by using the vibration data obtained during the sampling period including the time t1 and the sampling period including the time t2 (where t1 < t 2) in the rolling at the rotation speed fr of the roll 3, the growth tendency of the N-edge of the roll 3 can be evaluated. As shown in fig. 4A, the vibration amplitude A2 is smaller than the vibration amplitude A1, and therefore, the vibration amplitude a corresponding to the N-sided shape tends to be reduced at the rotation speed fr2 of the roll 3. That is, 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 vibration amplitude (vibration amplitude a) of the vibration at the frequency (fr×n) corresponding to the specific N-edge is obtained based on the vibration data obtained during the rolling of the metal sheet S at the specific rotation speed fr of the roll 3, the tendency of the N-edge growth of the roll 3 (for example, whether the N-edge growth is occurring or decaying, etc.) can be evaluated based on the change with time of the vibration amplitude a. Therefore, for example, based on the evaluation, the operation control of the rolling device 2 is performed without growing the N-edge of the roll 3, whereby the quality degradation of the product sheet metal can be suppressed.
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 vibration data of the roll 3 obtained from a sampling period after a time Δt passes from the sampling period of the vibration data shown in fig. 5A at the same rotation speed fr. In fig. 5A and 5B, frequencies fr× (N-1), fr× (N), and fr× (n+1) represent vibration frequencies corresponding to (N-1), N-and (n+1) polygons, respectively.
As shown in fig. 5A and 5B, when rolling is performed at the same rotational speed fr, the growth tendency of some N-polygons (N1-polygons) and the growth tendency of other N-polygons (N2-polygons) are independent. In fig. 5A and 5B, when the rolling at the rotation speed fr continues at Δt, the vibration amplitude a of the roll 3 corresponding to the N-polygon N (vibration amplitude at frequency fr N) from A N i (FIG. 5A) increase to A N i+1 (FIG. 5B). On the other hand, under the same conditions, the vibration amplitude A corresponding to the (N-1) edge of the roll 3 N-1 Vibration amplitude of (frequency fr× (N-1)) from A N-1 i (FIG. 5A) decrease to A N-1 i+1 (FIG. 5B), furthermore, the vibration amplitude A corresponding to the (N+1) edge of the roll 3 N+1 Vibration amplitude of (frequency fr× (n+1)) from A N+1 i (FIG. 5A) decrease to A N+1 i+1 (FIG. 5B). That is, the N-edge of the roll 3 grows while the (N-1) edge and the (n+1) edge are attenuated under the condition of the rotation speed fr of the roll 3.
On the other hand, at the other rotation speed fr, the N-edge of the roll 3 is attenuated, but (N-1) edge formation or (n+1) edge formation may occur.
Therefore, for example, by changing the rotation speed fr of the roll 3 before the roll 3 is rolled at the rotation speed fr of the roll 3, the progress of the N-edge formation of the roll 3 can be appropriately suppressed. In addition, in the operation at the changed rotation speed, the N-edge of the roll 3 is attenuated, but even in the case of the (n+1) edge growth, the rotation speed of the roll 3 is changed before the (n+1) edge transition of the roll 3 is advanced, so that the (n+1) edge of the roll 3 can be appropriately suppressed from being advanced.
In this way, by appropriately selecting the rotation speed fr of the roll 3 based on the evaluation result of the growth tendency of N-banding, the polygon formation 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, the vibration amplitude a corresponding to the N-sided shape increases or decreases exponentially during rolling at the constant rotational speed fr. The vibration amplitudes A0 and A1 corresponding to the N-sided shape at 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)
The vibration amplitudes A1 and A2 corresponding to the N-sided shape at 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)
If the above formula (B) is summarized, the following formula (C) can be obtained.
A i+1 /A i =exp(σ(Φ i+1 )·fr i+1 ·Δt i+1 )...(C)
If the natural logarithm of each side of the above (C) is taken and arranged, the following formula (D) can be obtained.
σ(Φ i+1 )=ln(A i+1 /A i )/(fr i+1 ·Δt i+1 )...(D)
Here, σ (Φ) in the above formulae (a) to (D) i ) Is the rotation speed fr of the roller 3 i The characteristic value (hereinafter, also simply referred to as "characteristic value σ") determined correspondingly. In addition, Φ i Is made of phi i =fr i X N/fn (where fn is the natural frequency of the roll 3). In addition, another In addition, N is a specific natural number (number of edges), and fn can be regarded as being substantially constant regardless of the material, thickness, etc. of the metal sheet to be rolled, and thus Φ i With the rotation speed fr of the roller 3 i Approximately proportional.
Therefore, if two different times t are obtained during rolling at a specific rotational speed fr of the roll 3 i 、t i+1 Vibration amplitude A corresponding to an N-sided polygon i 、A i+1 The characteristic value σ corresponding to the rotation speed fr can be calculated from the above equation (D).
For example, in step S102, vibration data is acquired during a sampling period including time t1 during rolling at the rotational speed fr2 of the roll and during a sampling period including time t 2. Then, these vibration data are subjected to frequency analysis, and vibration amplitude A1 corresponding to the N-polygon at time t1 and vibration amplitude A2 corresponding to the N-polygon at time t2 are obtained (steps S104 and S106). In step S108, the rotation speed fr2 of the roll 3 and the time length Δt2 between the two sampling periods can be calculated from the vibration amplitudes A1 and A2 and the rotation speed fr2 to be σ (Φ2).
Here, the length Δt of the time between the first sampling period (for example, the sampling period including the time t 1) and the second sampling period (for example, the sampling period including the time t 2) (hereinafter, also referred to as a time difference of the sampling period) may be, for example, a difference between the start time of each sampling period, a difference between the end time of each sampling period, or a difference between the start time of the first sampling period and the end time of the second sampling period, and may be obtained by the same calculation method for each i.
In the case where the characteristic value σ calculated by the above formula (D) is greater than zero, (a) in the right side of the above formula (D) i+1 /A i ) Greater than 1. Therefore, a characteristic value σ greater than zero indicates N-edge growth of the roll 3 at the rotation speed fr corresponding to σ. On the other hand, when the characteristic value σ calculated by the above formula (D) is smaller than zero, (a) in the right side of the above formula (D) i+1 /A i ) Less than 1. Therefore, a characteristic value σ smaller than zero means that the N-edge of the roll 3 decays at the rotation speed fr corresponding to σ.
Thus, the ratio (A i+1 /A i ) The tendency of the vibration amplitude a to change with time (increase or decrease in amplitude, etc.) between the two sampling periods is shown. Thus, as described above, based on the ratio (A i+1 /A i ) The obtained characteristic value σ can be an index indicating a tendency of N-edge growth (growth of N-edge formation, attenuation, or the like) 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 N-edge formation of the roll 3 at the rotation speed fr of the roll 3 can be appropriately evaluated.
Further, the characteristic value σ calculated in the above formula (D) includes the time difference (Δt) between sampling periods of the vibration data in the molecule on the right of the above formula (D), and thus represents the change in the vibration amplitude per unit time. Therefore, in the region where the characteristic value σ is positive, the larger the characteristic value σ is, the larger the increasing speed of the vibration amplitude a corresponding to the N-edge is, and the tendency of the growth speed of the N-edge of the roll 3 to be higher can be evaluated. In the region where the characteristic value σ is negative, the smaller the characteristic value σ is, the greater the reduction speed of the vibration amplitude a corresponding to the N-edge is, and the tendency of the attenuation speed of the N-edge of the roll 3 to be higher can be evaluated.
Thus, according to the ratio (A i+1 /A i ) And a time difference Δt between the two sampling periods, the degree of change in the amplitude per unit time between the two sampling periods can be known. Therefore, the ratio (A) i+1 /A i ) The characteristic value σ obtained based on the time difference Δt can be an index of the growth or the speed of the N-edge growth or the decay of the roll 3 during rolling at the rotation speed fr of the roll 3. Therefore, by using the characteristic value σ, the tendency of N-edge growth of the roll 3 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, the above steps S102 to S118 are performed at the plurality of rotational speeds fr of the roll 3, and the characteristic value σ corresponding to each of the plurality of rotational speeds fr is obtained. 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 combination of the rotation speed fr and the characteristic value σ thus obtained on a graph, a correlation (characteristic map) between the rotation speed fr and the characteristic value σ can be obtained.
Fig. 6 is a diagram showing a typical example of the correlation (characteristic map) between the rotation speed fr and the characteristic value σ obtained in step S110. As described above, the parameter Φ (Φ=fr×n/fn) on the horizontal axis of the graph of fig. 6 is a parameter that is an index of the rotation speed fr.
As shown in fig. 6, in the typical characteristic diagram, there are, irrespective of "N", the vicinity of Φ=1 (i.e., the frequency fr×n corresponding to the N-polygon is equal to the rotation speed fr of the natural frequency of the roll 3) and Φ (Φ=α2 and Φ=α1 in fig. 6) where σ becomes zero in the region where Φ < 1 (i.e., the rotation speed).
Furthermore, in the rotational speed region of α1 < Φ < α2, σ is greater than zero, and in particular, at Φ≡α2, σ becomes extremely large. That is, in this rotation speed region, the N-edge of the roll 3 grows (develops), and the larger σ is, the faster the N-edge of the roll 3 grows. On the other hand, in the rotational speed region where Φ < α1 and Φ > α2, σ is smaller than zero. That is, in this rotation speed region, the N-edge of the roll 3 decays, and the smaller the σ is, the faster the decay rate of the N-edge of the roll 3 is. In addition, at σ=0, the N-banding of the roll 3 neither grows nor decays.
Once the characteristic map (correlation) is obtained in step S110, the growth tendency of the N-edge formation of the roll 3 at the time of rolling at the rotation speed fr of the roll 3 can be evaluated based on the characteristic map in step S112. That is, since σ corresponding to various rotational speeds fr of the roll 3 can be obtained by using the characteristic map described above, the tendency of N-sided growth corresponding to a specific rotational speed of the roll 3 can be evaluated. For this reason, for example, σ corresponding to the current rotation speed of the roll 3 can be grasped, the N-edge growth tendency of the roll 3 at the current time can be grasped, or the N-edge growth tendency of the roll 3 at the rotation speed of the roll 3 to be changed in the future can be predicted.
In addition, a plurality of characteristic diagrams suitable for each steel type may be produced according to the steel type of the rolled metal sheet S. In this case, in step S110, steel grade data (including information on the material, hardness, and the like of each steel grade) may be read out from the steel grade data storage unit 96 (see fig. 2), and a 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 grade data, and based on the recording, a characteristic map (correlation between the rotation speed fr and the characteristic value σ) may be acquired for each steel grade.
In several embodiments, the evaluation result in step S112 may be output to the display unit 98 (such as a display) 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 N-polygons (n=39, 40, 41) at the current rotation speed fr of the roll 3 is represented as a point on the graph together with the graph of the correlation between the rotation speed fr (i.e., Φ) and the characteristic value σ. Further, although a graph showing the correlation between the rotation speed fr and the characteristic value σ can be obtained for each N-polygon, if the graph is formed using the parameter Φ obtained by normalizing the rotation speed fr by the number of polygons N and the natural frequency fn of the roll 3 as in the graph of fig. 8 (and fig. 6), curves (characteristic diagrams) concerning the correlation between a plurality of N-polygons may be substantially superimposed.
As can be seen from the graph of fig. 8, at the current rotation speed fr, σ with respect to n=40 (the tetradecagon) is greater than 0, and therefore the tetradecagon grows in the roll 3. Further, as can be seen from this figure, at the current rotation speed fr, σ concerning n=39 (thirty-nine sided shape) and n=41 (forty sided shape) is smaller than 0, so thirty-nine sided shape and forty sided shape are attenuated in the roll 3.
If the correlation is obtained, for example, when the operation is continued under the same operation condition (the rotation speed of the roll 3) as the current operation state, the time when the vibration amplitude corresponding to the specific N-edge reaches the threshold value can be predicted. In several embodiments, during rolling at the rotation speed fr1 of the roll 3, vibration data of the roll 3 is acquired during a sampling period including the time t1, and frequency analysis is performed, whereby the sampling period including the time t1 is acquiredThe vibration amplitude A1 corresponding to the N-sided polygon. Then, based on the correlation between the rotation speed fr and the characteristic value σ obtained 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 t1 th Time to deltat e
An example of the method for calculating the time Δtc will be described. According to formula (D), the characteristic value sigma is compared with (A i+1 /A i ) Indicating the rotational speed fr of the roll 3 i+1 During the rolling, the time delta t i+1 Amplitude variation during the period (a). Therefore, according to the expression (D), the vibration amplitude a corresponding to the N-polygon and the threshold value a of the vibration amplitude at a certain time point in rolling at the rotation speed fr1 can be used th (wherein A < A) th ) The vibration amplitude is changed from A to A th Time Δt of (2) c The characteristic value σ during rolling at the rotation speed fr1 is expressed as in the following expression (E).
σ=ln(A th /A1)/(fr1·Δt c )...(E)
The above formula (E) is deformed to obtain the following formula (F).
Δt c =ln(A th /A1)/(σ·fr1)...(F)
Therefore, according to the above equation (F), it is possible to calculate (predict) from the vibration amplitude A1 corresponding to the N-sided shape during rolling at the rotation speed fr1, i.e., immediately time t1 (for example, the current time) to the vibration amplitude becoming the threshold value a th The length deltatc of the time until the moment of (a).
In the above embodiment, based on the above-described correlation between the rotational speed fr of the roll 3 and the characteristic value σ (correlation indicating the tendency of growth of the N-edge of the roll), when rolling is continued from the time t1 at the rotational speed fr1 of the roll 3, the vibration amplitude of the roll 3 corresponding to the N-edge is calculated (predicted) to reach the predetermined threshold value a th Time to deltat c . That is, since the N-edge of the roll 3 is calculated to a predetermined degree (threshold a th ) For this reason, the degree of N-edge formation of the roll 3 can be suppressed from becoming excessively large by changing the operating conditions (roll rotation speed, etc.) or replacing the roll 3 before the calculated time elapses. Thereby the processing time of the product is reduced, The quality degradation of the rolled product sheet metal can be suppressed.
In several embodiments, after the correlation (characteristic map) 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 map) based on the data on the vibration amplitude corresponding to the N-edge obtained from the vibration data obtained during the rolling using the roll 3.
An example of the procedure for correcting the correlation will be described. According to the expression (D), the characteristic value σ during rolling at the rotation speed fr1 can be expressed as in the following expression (G) using the vibration amplitude A1 corresponding to the N-polygon at the time t1 during rolling at the rotation speed fr1, the vibration amplitude A2 corresponding to the N-polygon at the time t2 during rolling at the rotation speed fr1 (where t1 < t 2), and the time difference Δt between the times t1 and t2 (Δt=t2-t 1).
σ=ln(A2/A1)/(fr1·Δt)...(G)
Therefore, according to the above formula (G), the characteristic value σ can be calculated based on the rotation speed fr1 of the roll, the vibration amplitude A1 at the time t1, the vibration amplitude A2 at the time t2, and the actual measurement values of the time difference Δt between the times t1 and t 2. That is, for the characteristic value σ corresponding to the rotation speed fr1 of the roll 3, both the characteristic value σ based on the actually measured value (the value calculated according to the above formula (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 better 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-edge obtained from the vibration data obtained in the actual rolling using the roll 3, and therefore the tendency of the N-edge growth 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) supporting the rolls 3 is used to acquire data indicating the vibrations of the 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 several embodiments, the vibration measuring unit may be configured to detect vibrations of the housing that supports the roll 3 (the work rolls 4A and 4B and the backup rolls 6A and 6B). In this case, the tendency of N-edge growth of the roll 3 supported by the housing can be evaluated based on the vibration data obtained by the vibration measuring section. For example, N-edge growth or degradation can be detected in any one of the plurality of rolls 3 supported by the housing 3. In this way, after the rolling stand including the shell for detecting the N-edge growth of the roll 3 is specified, the vibration measuring unit may be provided for each of the plurality of rolls 3 included in the rolling stand, and the N-edge growth tendency of each roll 3 may be evaluated.
The following describes a state evaluation method and a state evaluation device for a rolling mill and a rolling mill facility according to several embodiments.
(1) The state evaluation method of a rolling device according to at least one embodiment of the present invention is a method for evaluating a tendency of N-edge formation of N-edge due to uneven roll wear in a rolling device, and includes:
a vibration data acquisition step of acquiring vibration data indicating vibration of the roll in each of a plurality of sampling periods during rolling at the rotational speed fr of the roll;
an amplitude acquisition step of performing frequency analysis on each of the vibration data acquired during the plurality of sampling periods to acquire an amplitude of the vibration at a frequency corresponding to the N-polygon; and
and an evaluation step of evaluating a growth tendency of the N-edge formation of the roll at the time of rolling at the rotation speed fr based on the time-dependent change of the amplitude acquired for each of the vibration data.
The present inventors have conducted intensive studies and as a result found that: in the case of N-edge growth of a roll during rolling, the amplitude of a frequency component corresponding to the N-edge included in vibration of the roll increases with the passage of time; when the N-edge of the roll is attenuated during rolling, the amplitude of the frequency component corresponding to the N-edge included in the vibration of the roll decreases with the passage of time.
In this regard, according to the method of (1) above, since the amplitude of the vibration at the frequency corresponding to the specific N-edge is obtained based on the vibration data obtained during the rolling of the material (metal plate or the like) at the specific rotation speed fr of the roll, the tendency of the N-edge growth of the roll (for example, whether the N-edge growth grows or decays or the like) can be evaluated based on the temporal change of the amplitude. Therefore, for example, based on the evaluation, the operation control of the rolling device is performed so that the N-edge of the roll does not grow, whereby the quality degradation of the product sheet metal can be suppressed.
(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 the two different sampling periods, a characteristic value sigma indicating an index of a temporal change in the amplitude of vibration at a frequency corresponding to the N-edge of the roll during rolling at the rotation speed fr based on the ratio of the amplitudes acquired in the amplitude acquisition step,
in the evaluation step, the growth tendency of the N-edge formation during rolling at the rotation speed fr is evaluated based on the characteristic value σ.
In the method (2) described above, the characteristic value σ is obtained based on the ratio of the amplitudes of the vibrations of the roll at the frequency corresponding to the N-edge, 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 vibration amplitudes at the frequency described above indicates the tendency of the vibration amplitudes at the frequency described above to change with time (increase or decrease in the vibration amplitudes, etc.) between the two sampling periods, the characteristic value σ obtained based on the ratio can be an index indicating the tendency of N-edge growth (growth, attenuation, etc.) of the roll during rolling at the roll rotation speed fr. Therefore, according to the configuration of (2) above, the growth tendency of the N-edge formation of the roll 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 obtaining step, the characteristic value σ is obtained based on the ratio of the amplitudes and a length of time between the different two sampling periods.
In the method (3), the characteristic value σ is obtained based on the ratio of the amplitudes of the vibrations of the roll at the frequency corresponding to the N-edge and the length of time between the two sampling periods (the time difference between the two sampling periods) which are obtained from the vibration data obtained in the rolling at the rotation speed fr of the roll in the two different sampling periods, respectively. That is, since the degree of change per unit time of the amplitude between the two sampling periods is known from the amplitude ratio and the time difference, the amplitude ratio and the characteristic value σ obtained based on the time difference can be an index of the growth or the rate of the N-edge growth or the rate of the reduction of the roll during the rolling at the rotation speed fr of the roll. Therefore, according to the configuration of (3) above, the growth tendency of the N-edge formation of the roll 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 acquisition step of acquiring a correlation between the rotational speed fr of the roll and the characteristic value σ by executing the vibration data acquisition step, the amplitude acquisition step, and the characteristic value acquisition step with respect to a plurality of different rotational speeds of the roll.
According to the method of the above (4), the vibration data acquisition step, the amplitude acquisition step, and the characteristic value acquisition step are performed for each of the plurality of rotation speeds fr, whereby the characteristic value σ is acquired, and the correlation between the rotation speed fr and the characteristic value σ is acquired from the plurality of combinations of the rotation speed fr and the characteristic value σ thus acquired. Therefore, the growth tendency of the N-edge of the roll can be appropriately evaluated based on the correlation between the rotational speed fr and the characteristic value σ thus obtained. Therefore, for example, whether or not the N-edge of the roll grows under a specific operation condition (such as the roll rotation speed) or what the growth rate of the N-edge of the roll grows can be evaluated, and based on the evaluation result, an operation condition (such as the roll rotation speed) under which the N-edge of the roll does not develop can be selected. This can suppress the quality degradation of the rolled product sheet metal.
(5) In several embodiments, in the method of (4) above,
comprises a step of acquiring the amplitude of the vibration during a sampling period including time t1 based on the vibration data acquired during rolling at the rotational speed fr1 of the roll,
in the evaluation step, based on the correlation, a time until the amplitude reaches a threshold value when rolling at the rotation speed fr1 is continued from the time t1 is calculated.
According to the method of (5) above, the amplitude A1 of the vibration of the roll corresponding to the N-polygon at the time t1 is obtained from the vibration data at the time t1 during rolling at the rotation speed fr1 of the roll. 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-edge 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 of the roll corresponding to the N-edge reaches a predetermined threshold value is calculated (predicted). That is, since the time until the N-edge formation of the roll reaches a predetermined level is calculated, the N-edge formation of the roll can be prevented from becoming excessively large by changing the operating conditions (the roll rotation speed, etc.) or replacing the roll before the calculated time elapses. This can suppress the quality degradation of the rolled product sheet metal.
(6) In several embodiments, in the method of (4) or (5) above,
the method includes the step of correcting the correlation based on data related to the amplitude of the vibration obtained from the vibration data obtained during rolling using the roll after the correlation is obtained.
According to the method of (6) above, after the above-described 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 at the frequency corresponding to the N-edge of the roll obtained from the vibration data obtained from the rolling in which the roll is actually used, and therefore the tendency of the N-edge of the roll to grow based on the correlation can be evaluated with higher accuracy.
(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 tendency of N-edge formation due to uneven wear of a roll of the rolling device, comprising:
a vibration data acquisition unit configured to acquire vibration data indicating vibration of the roll in each of a plurality of sampling periods during rolling at the rotational speed fr of the 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 tendency of the N-edge formation of the roll during rolling at the rotation speed fr based on the time-dependent change in the amplitude acquired for each of the vibration data; and
and an output unit configured to output an evaluation result of the evaluation unit.
According to the configuration of (7) above, since the amplitude of the vibration at the frequency corresponding to the specific N-edge is obtained based on the vibration data obtained during the rolling of the material (metal plate or the like) at the specific rotation speed fr of the roll, the tendency of the N-edge growth of the roll (for example, whether the N-edge growth grows or decays or the like) at the rotation speed fr of the roll can be evaluated based on the temporal change of the amplitude. Therefore, for example, based on the evaluation, the operation control of the rolling device is performed so that the N-edge of the roll does not grow, whereby the quality degradation of the product sheet metal can be suppressed.
(8) The rolling mill according to at least one embodiment of the present invention includes:
a rolling device including a roll for rolling a metal plate; and
the state evaluation device according to the above (7), configured to evaluate a tendency of N-edge growth due to uneven wear of the roll.
According to the configuration of (8) above, since the amplitude of the vibration at the frequency corresponding to the specific N-edge is obtained based on the vibration data obtained during the rolling of the material (metal plate or the like) at the specific rotation speed fr of the roll, the tendency of the N-edge growth of the roll (for example, whether the N-edge growth grows or decays or the like) at the rotation speed fr of the roll can be evaluated based on the temporal change of the amplitude. Therefore, for example, based on the evaluation, the operation control of the rolling device is performed so that the N-edge of the roll does not grow, whereby the quality degradation of the product sheet metal can be suppressed.
The embodiments of the present invention have been described above, but the present invention is not limited to the above embodiments, and includes modifications to the above embodiments and appropriate combinations of these.
In the present specification, "in a certain direction", "along a certain direction", "parallel", "orthogonal", "central", "concentric" or "coaxial" and the like mean that the relative or absolute arrangement is expressed, and that the relative displacement state is expressed by not only strictly expressing such arrangement but also angles and distances having tolerances or such an extent that the same function can be obtained.
For example, the expressions "identical", "equal", and "homogeneous" indicate states in which things are equal, and indicate not only exactly equal states 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 "four-sided shape" and "cylindrical shape" are meant to indicate not only the four-sided shape, the cylindrical shape, and the like in a geometrically strict sense, but also shapes including concave-convex portions, chamfered portions, and the like, within a range where the same effect can be obtained.
In the present specification, the expression "having", "including", or "having" one component is not an exclusive expression excluding the presence of other components.
Symbol description-
1. Rolling equipment
2. Rolling device
3. Roller
4A, 4B working rolls
5A, 5B roller bearing seat
6A, 6B backup roll
7A, 7B roller bearing seat
8. Press device
10. 10A-10C rolling table
50. State evaluation device
52. Vibration data acquisition unit
54. Frequency analysis unit
56. Amplitude extraction unit
60. Recording unit
62. Characteristic value calculation unit
66. Correlation acquisition unit
68. Evaluation unit
70. Correction part
72. Output unit
90. Vibration measuring part
91-94 acceleration sensor
95. Roller rotation speed measuring unit
96. Steel grade data storage part
98. Display unit
S metal plate.

Claims (7)

1. A method for evaluating the state of a rolling device for evaluating the tendency of N-edge formation of N-edge due to uneven wear of rolls of the rolling device, comprising:
a vibration data acquisition step of acquiring vibration data indicating vibration of the roll in each of a plurality of sampling periods during rolling at the rotational speed fr of the roll;
An amplitude acquisition step of performing frequency analysis on each of the vibration data acquired during the plurality of sampling periods to acquire an amplitude of the vibration at a frequency corresponding to the N-polygon;
a characteristic value acquisition step of acquiring, with respect to the vibration data acquired in the vibration data acquisition step in the two different sampling periods, a characteristic value σ indicating an index of a temporal change in the amplitude of vibration of the roll at a frequency corresponding to the N-edge in rolling at the rotation speed fr based on the ratio of the amplitudes acquired in the amplitude acquisition step, respectively; and
and an evaluation step of evaluating a growth tendency of the N-edge formation of the roll during rolling at the rotation speed fr based on the characteristic value σ.
2. The method for evaluating the state of a rolling device according to claim 1, wherein,
in the characteristic value obtaining step, the characteristic value σ is obtained based on the ratio of the amplitudes and a length of time between the different two sampling periods.
3. The method for evaluating the state of a rolling device according to claim 1 or 2, wherein,
the method further includes a correlation acquisition step of acquiring a correlation between the rotational speed fr of the roll and the characteristic value σ by executing the vibration data acquisition step, the amplitude acquisition step, and the characteristic value acquisition step with respect to a plurality of different rotational speeds of the roll.
4. The method for evaluating the state of a rolling device according to claim 3, wherein,
comprises a step of acquiring the amplitude of the vibration during a sampling period including time t1 based on the vibration data acquired during rolling at the rotational speed fr1 of the roll,
in the evaluation step, based on the correlation, a time until the amplitude reaches a threshold value when rolling at the rotation speed fr1 is continued from the time t1 is calculated.
5. The method for evaluating the state of a rolling device according to claim 3, wherein,
the method includes the step of correcting the correlation based on data related to the amplitude of the vibration obtained from the vibration data obtained during rolling using the roll after the correlation is obtained.
6. A state evaluation device for a rolling device for evaluating the tendency of N-edge formation of N-edge due to uneven roller wear, comprising:
a vibration data acquisition unit configured to acquire vibration data indicating vibration of the roll in each of a plurality of sampling periods during rolling at the rotational speed fr of the 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;
A characteristic value calculating unit configured to calculate a characteristic value σ of an index indicating a temporal change in the amplitude of vibration of the roll at a frequency corresponding to the N-edge during rolling at the rotation speed fr, based on the ratio of the amplitudes acquired by the amplitude extracting unit, respectively, with respect to the vibration data acquired by the vibration data acquiring unit during two different sampling periods;
an evaluation unit configured to evaluate a tendency of the N-edge formation of the roll during rolling at the rotational speed fr based on the characteristic value σ; and
and an output unit configured to output an evaluation result of the evaluation unit.
7. A rolling mill is provided with:
a rolling device including a roll for rolling a metal plate; and
the state evaluation device according to claim 6, configured to evaluate a tendency of N-edge formation due to uneven wear of the roll.
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