EP1657003A1 - Verfahren zur Erkennung von Vibrationen eines Walzgerüstes - Google Patents

Verfahren zur Erkennung von Vibrationen eines Walzgerüstes Download PDF

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Publication number
EP1657003A1
EP1657003A1 EP05292206A EP05292206A EP1657003A1 EP 1657003 A1 EP1657003 A1 EP 1657003A1 EP 05292206 A EP05292206 A EP 05292206A EP 05292206 A EP05292206 A EP 05292206A EP 1657003 A1 EP1657003 A1 EP 1657003A1
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EP
European Patent Office
Prior art keywords
vibrations
signal
detecting
amplitude
rolling mill
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Granted
Application number
EP05292206A
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English (en)
French (fr)
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EP1657003B1 (de
Inventor
Michel Abi Karam
Emilio Lopez Sabio
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Clecim SAS
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VAI Clecim SA
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Publication of EP1657003A1 publication Critical patent/EP1657003A1/de
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Publication of EP1657003B1 publication Critical patent/EP1657003B1/de
Expired - Fee Related legal-status Critical Current
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    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B38/00—Methods or devices for measuring, detecting or monitoring specially adapted for metal-rolling mills, e.g. position detection, inspection of the product
    • B21B38/008—Monitoring or detecting vibration, chatter or chatter marks
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B38/00—Methods or devices for measuring, detecting or monitoring specially adapted for metal-rolling mills, e.g. position detection, inspection of the product
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B37/00—Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
    • B21B37/007—Control for preventing or reducing vibration, chatter or chatter marks
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B37/00—Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
    • B21B37/58—Roll-force control; Roll-gap control
    • B21B37/62—Roll-force control; Roll-gap control by control of a hydraulic adjusting device

Definitions

  • the present invention relates to a method for detecting the vibrations of a roll stand, both in hot rolling and in cold rolling, for various materials.
  • the invention is particularly applicable to the detection of vibrations that affect the thickness during rolling of flat products in band form, in particular by using tandem rolling mills.
  • Metallurgical products in particular flat products such as sheets, strips or strips, whether made of steel, aluminum, or other metals or alloys, are generally produced by rolling with using rolling mills consisting of at least one roll stand and, for example, consisting of a set of cages arranged one after the other to form what is called a tandem rolling mill line.
  • a rolling mill cage comprises masses in substantial rotation, such as working or bearing rolls, or gear reducer gears. These masses can vibrate untimely, especially when looking to roll at high speed.
  • This phenomenon sometimes called “chatter”, which is observed more particularly on cold tandem trains, resembles a resonance phenomenon because it results in a vibration at a substantially fixed frequency for a particular rolling mill stand and it appears at beyond a certain speed threshold. It can cause irregularities in the thickness of the strip or breakages thereof, or marks on the rolls. It is all the more troublesome for the production that the more immediate remedy that can be brought to it is the reduction of the speed of rolling.
  • this signal processing to eliminate background noise, generates a delay that can be detrimental to the triggering of the alarm and the correction action at the desired time.
  • the simple treatment in a band of frequencies does not allow to distinguish the frequencies of vibrations which have a harmful origin from those which correspond to the normal vibrations caused by certain rotating masses of the installation.
  • the problem of the location of the sensor and its fragility is thus solved but it remains that of the signal processing.
  • a microphone captures all the acoustic frequencies present and the signal is tainted by a significant background noise.
  • this patent proposes a signal processing, based on the combination of several approaches, the purpose of which is to identify the appearance of harmful vibrations. For this purpose, it combines band pass filters, peak detections, resonance factor calculations, Fourier analyzes, and triggers an alarm when one of these parameters, or their combination exceeds a certain threshold in a frequency band. predetermined.
  • This method has drawbacks because the signal processing time is too long and essentially detects the divergence of the vibration of a roll stand. However, it has recently been observed that non-divergent vibrations may arise and deteriorate the thickness or the surface condition of the rolled product.
  • the vibration phenomenon starts in general on a cage and spreads to others.
  • the proposed device can only capture the acoustic frequencies emitted by all the stands of the tandem mill, it is not directly able to differentiate the cages from each other.
  • the present invention aims to solve these problems by proposing a new detection method operating from a measurement signal not having the aforementioned drawbacks, in particular not requiring prior processing to generate a vibration detection signal.
  • the components and the sensors which constitute a modern rolling mill stand are used, namely the hydraulic clamping cylinders equipped with high resolution digital position sensors, generally at least equal to 1 micrometer.
  • the signal of the position sensor is disturbed by the vibrations, by an unexpected effect of transmission of these vibrations through the entire stack of cylinders constituting the rolling stand and the hydraulic cylinder of Tightening.
  • Numerous complementary tests have made it possible to determine that the position signal is perfectly modulated by the vibration in a completely reliable manner and faithful to the level of the frequency and the amplitude.
  • the modulation appears from the beginning of the birth of the vibration and the amplitude varies according to that of the vibration, superimposed on the variations of amplitude of the signal due to the action of the regulation system of the thickness.
  • the measurement signal (POS) of the position sensor is memorized in real time and permanently; a sample of this signal is directly compared with a window (F) of spatio-temporal observation, whose dimensions and the size of the sample are chosen according to the rolling mill stand and the frequency of the vibrations to be detected, and a vibration detection signal is triggered when the signal sample is no longer contained in said window (F).
  • the temporal dimension of the observation window (F) represents a sufficient length of time for the sample of the position signal contained may be representative of the vibration phenomenon to be detected, if this phenomenon has disturbed the position signal and is therefore also contained in the sample.
  • the temporal dimension of the window (F) of observation has a length at least equal to a time equivalent to 2 periods of the signal of the vibration phenomenon to be detected.
  • the height of the observation window (F) has a spatial dimension representing a size greater than the amplitude of the greatest repetitive variation of the position measuring signal (POS) of the hydraulic cylinder of Tightening.
  • the height of the observation window (F) has a spatial dimension representing an amplitude of the position measuring signal (POS) of the hydraulic clamping cylinder greater than 4 micrometers.
  • a vibration detection is reported when the number of times for which the amplitude of the position measuring signal (POS) of the hydraulic clamping cylinder has exceeded the height of the observation window (F) is greater than two.
  • the amplitude of each overshoot with respect to the dimension of the window (F) is measured for the observation windows having triggered a vibration detection signal, and the slope is determined. (D) of the variation of the amplitude of each exceeding, in the same observation window (F), for observation windows that triggered a vibration detection signal.
  • the slope of the variation of the amplitude of each overshoot, in different observation windows (F), is determined for the observation windows that triggered a vibration detection signal.
  • the method is used for each of the cages of a tandem mill by determining for this purpose a sample size of the position measuring signal (POS) of the hydraulic clamping jack of each cage and a dimensioning of the observation window adapted to the frequencies of the vibrations to be detected on each of said cages of the tandem mill.
  • POS position measuring signal
  • the slopes (D) of the variation in the amplitude of the overruns occurring on each cage of the tandem mill are compared. Then it is decided that the corrective actions to be made are made at least on the cage whose slope (D) of the variation of the amplitude of the overtaking is the strongest.
  • different sizes of the sample of the position measuring signal (POS) of the hydraulic clamping cylinder and different sizing of the observation window (F) are used, in order to detect different modes. of vibration of the roll stand, each of them being adapted to the vibration frequencies corresponding to each of the vibration modes to be detected.
  • a rolling mill stand 1 of the "quarto" type As shown in FIGS. 1 and 2, a rolling mill stand 1 of the "quarto" type, known in itself to those skilled in the art, comprises two support columns respectively 2 and 2 'separated and connected by crosspieces 3, 3 ', between which is mounted a set of superposed cylinders having parallel axes and placed substantially in the same clamping plane S perpendicular to the direction of movement of the product P.
  • Each column 2, 2 ' has a closed ring shape and each comprises two vertical uprights 21, 22 (respectively 21', 22 ') and two horizontal portions 23, 24 (respectively 23', 24 ').
  • the set of superimposed rolls comprises two working rolls 4, 4 'between which the product P scrolls, and two support rollers 5, 5' on which the work rolls rest.
  • the cylinders are supported on each other along substantially parallel bearing lines, and directed along a generatrix whose profile, normally straight, depends on the forces applied and the strength of the cylinders.
  • the clamping force is applied by screws or jacks 6, 6 'interposed between the cage and the ends of the shaft of the upper support cylinder 5, the lower support cylinder 5' supported by these ends directly on
  • the other cylinders must be able to move relative to the cage and, for this purpose, are carried by support members 51, 51 'called chocks, they are mounted sliding vertically in two windows formed between the vertical uprights respectively 21, 22 and 21 ', 22' of the two columns respectively 2 and 2 'of the roll stand 1.
  • the cylinders are rotatably mounted about their axis in bearings installed in these support members. So the upper support cylinder 5 is equipped at its ends with two support members 51a, 51b sliding vertically between the uprights 21, 22 and 21 ', 22' of the two columns 2 and 2 'of the roll stand 1.
  • the lower support roll 5 ' is equipped at its ends with two support members 51'a, 51'b slidable between the vertical uprights 21, 22 and 21', 22 'of the two columns 2 and 2' of the roll stand 1 for the needs disassembly and change of support cylinders.
  • the invention relates to rolling mill cages whose clamping means are constituted by hydraulic cylinders.
  • these hydraulic cylinders are installed in the upper part of the cage.
  • the upper support cylinder is directly supported by its support members 51a, 51b on the upper horizontal portions 23, 23 'of the columns 2, 2' of the roll stand 1.
  • Clamping means consisting of hydraulic cylinders bearing on the lower surface of the upper horizontal part 23, 23 'of the columns 2 and 2' of the roll stand 1, exert a vertical force in the direction of tightening of the rolls for rolling product P passing between the working rolls 4, 4 '.
  • each working roll is rotatably mounted about its axis on bearings carried by two support members called chocks 41a, 41b and 41a, 41'b and these are slidably mounted parallel to the plane clamping S passing through the axes of the working rolls, each between two flat guide faces arranged respectively on either side of said clamping plane on both sides of the corresponding window of the cage.
  • chocks 41a, 41b and 41a, 41'b are slidably mounted parallel to the plane clamping S passing through the axes of the working rolls, each between two flat guide faces arranged respectively on either side of said clamping plane on both sides of the corresponding window of the cage.
  • the corresponding guide faces 52, 52 ' are generally formed directly on the two uprights of the corresponding column of the cage.
  • the working rolls having a smaller diameter, their chocks are smaller and the corresponding guide faces 42, 42 ', which are narrower, are arranged, generally, on two solid pieces 7 fixed on the two framing posts. the window and projecting inwardly therefrom.
  • These blocks may comprise devices for controlling the bending of the working rolls, generally cylinders, not shown in the figure. There is no need to further describe all of these well known devices in rolling mill stands, which have been the subject of numerous publications and patents.
  • Each hydraulic jack consists of a cylinder body 61 and a piston 62 between which oil is injected.
  • the hydraulic pressure comes from a plant equipped with pumps and the oil is usually injected into the cylinder via servo-valves.
  • the hydraulic cylinder of a position sensor To control the action of hardening on the product is equipped the hydraulic cylinder of a position sensor.
  • the body of the cylinder 61 is the fixed part of the clamping device and is supported on the lower surface of the horizontal portion 23 of the column 2 of the rolling stand 1.
  • the piston 62 constitutes the movable part of the clamping device which exerts the force on the upper part of the chocks 51a, 51b of the upper support cylinder 5.
  • the movement of the piston is transmitted by a rod 65 to the sensor 64 installed above the column .
  • the seal relative to the body of the jack 61 and to the rod 65 connected to the piston 62 is provided by a sealing device 63.
  • a sealing device 63 There is no need to further describe this kind of editing which has been patented by the applicant.
  • the same device is installed in the other column 2 'of the roll stand and, in the embodiment described, this device exerts the clamping force between the horizontal portion 23' of the column 2 'and the chuck 51 b of the upper support cylinder 5.
  • the different parts of the roll stand are elastically deformed, the posts 21, 21 'and 22, 22' lengthen, the working rolls 4, 4 'and the support cylinders 5,5' are crushed and the chocks of support cylinders to a lesser extent. All of these deformations are called cedging of the rolling stand and its value is proportional to the clamping force.
  • the value of the displacement of the piston relative to the cylinder body must be greater than the variation produced on the gap between the working rolls between which the product is rolled.
  • the various elements of the cage can come into vibration. These vibrations are transmitted in particular to the clamping jacks and the position sensors of these jacks for recording the vibrations.
  • Figure 3 shows what can be observed according to the method of the invention.
  • the recording in the central part POS shows the signal of the sensor for measuring the position of the hydraulic clamping cylinder.
  • the curve FT is the Fourier transform of the position signal POS. His examination made it possible to verify that the phenomenon of vibration was well identified by the observation of the position signal POS. Indeed the Fourier transform computed over a time interval allowing to have a representative sample of the signal observed, shows a peak at the frequency of approximately 110 Hz and two lesser lateral peaks situated approximately at 105 Hz and 115 Hz, they represent the secondary vibration frequencies that cause the beat.
  • This recording shows that the signals coming from the position sensors are well representative of the vibrations that one wants to detect.
  • the position signal POS coming from the digital sensor equipping the hydraulic cylinders of the clamping device of the rolling stand during a suitably selected time interval is directly observed, the shape of the signal and the shape of the signal being monitored. the evolution of its amplitude to trigger a vibration detection signal. This can be done, according to the method of the invention, by direct observation of the POS position signal.
  • the position sensor signal is delivered in digital form and its sampling frequency is of course sufficiently high to observe a signal whose frequency is about 100 Hz to 200 Hz while responding to the laws of signal processing as the law of Shannon.
  • the position sensor is read every millisecond or every two milliseconds.
  • This signal is a reflection of the order made by the thickness regulation system. We can see some periodic signals appear from circular defects or eccentricity of the cylinders, but the highest frequency contained in these signals, would then be of the order of 20 Hz to 30 Hz for a rolling speed ranging from 1500 to 2000 meters per minute.
  • the amplitude of the position variation of the moving part of the hydraulic cylinder is generally a few microns, which can reach a few tens of micrometers in normal operation and in steady state.
  • the rolling stands are preset to specific values depending on the product to be rolled and the thickness reduction to obtain, the regulations are then voluntarily limited in their amplitude of action in order to detect any malfunctions or presetting when these regulations arrive, for example in stop action. It is therefore perfectly possible to know from which values of their amplitude the variations of the position signal are the reflection of other phenomena.
  • the chatter phenomenon immediately causes amplitude variations exceeding 10 micrometers over a time interval of a few tens of milliseconds.
  • the position signal is thus memorized by a certain number of points and is observed, or compared to the size of a spatiotemporal window, when the signal is no longer contained in this window.
  • a vibration detection alarm is triggered.
  • the width of the window, along the time axis has a dimension corresponding to a significant time interval with respect to the period of the signal to be detected, in practice it will be possible for example to take a time greater than or equal to two cycles of said signal.
  • the height of the window, along the axis of the spaces has a size corresponding to a size greater than those of the repetitive corrections given by the control systems, in practice it will be possible to set a threshold, for example at 4 micrometers.
  • the measurement is then resumed with the storage of the position signal on another time interval so as to create another observation window.
  • different methods of storing and storing the measurements such as, for example, the instantaneous freezing of a certain number of measurement points (latch), filling and emptying. a FIFO (first IN first OUT) stack or creating a sliding average by adding a new point to each new measurement and removing the first point taken into account.
  • a succession of samples of measurement points of the signal of the position of the hydraulic cylinder of the clamping device is created which can be compared successively to the defined observation window.
  • FIG. 4 thus illustrates the method of observation of the method of the invention. It represents an expanded view along the horizontal axis of the signal shown in FIG. 3 for a period of time during which the position signal is disturbed by the chattering vibration phenomenon.
  • An observation window F is shown in FIG. 4, it corresponds to the minimum values of the thresholds that have been defined previously. These thresholds must be adjusted according to the characteristics of the installation and the tendency to enter in adverse vibratory states, because it is not desirable to cause frequent slowdowns of the installation, but on the other hand it is interesting to detect at the earliest vibration because they affect the thickness or the surface condition of the rolled product P before becoming divergent and cause greater damage.
  • the method of the invention makes it possible, from the observation of the position signal, to detect a vibratory state, or a variation in the vibratory state of a roll stand, corresponding to different phenomena.
  • the defects of circularity and eccentricity of rolling rolls have already been mentioned, but it is possible to detect other defects resulting, for example, from wear of the drive system components such as reduction gear gears or torque transmission extensions. To do this, it suffices to characterize the fault in frequency and amplitude and to define an observation window according to the method of the invention. It will then be possible to observe the stored samples of the position signal through the different windows thus defined and corresponding to different defects to be detected.
  • the amplitude of the exceeding of the position signal in each observation window is calculated. This can be done on a specific cage using different observation windows chosen according to different vibratory phenomena to monitor. This can also be done on the entire tandem mill from observation windows of the same type, adjusted to the specific values of each cage. It is thus possible to evaluate the amplitude of the phenomenon according to the cages. But to determine with certainty what is the cage of the tandem mill which entered the first one in vibration, the only criterion of the amplitude can be uncertain in particular cases. Indeed, as illustrated in Figure 3 the chatter phenomenon may have a shape modulated by beats whose amplitude varies. This can complicate the location of the starting point of the phenomenon.
  • the variation of these exceedances is determined within each observation window and the gradient of these variations is calculated during the start of the phenomenon on each of the cages of the tandem mill.
  • This is illustrated in FIG. 4 by the slope of the straight line D which connects the vertices of the curve representing the oscillations of the position signal.
  • the cage on which the problem appeared first is the one for which we measure the steepest slope for line D. Indeed it is on this cage that the signal has amplified the fastest, so it is this cage which was subjected to the excitatory phenomenon of origin and induced the vibrations the other cages, then there could have phenomena of resonance and beats between the cages of the tandem mill.
  • the process of the invention it is thus possible to detect rather a phenomenon of vibration that can affect the thickness or the surface condition of the rolled product P, and also detect a divergent phenomenon and give an alarm that can trigger the corrective actions.
  • the indication, thanks to the method of the invention, of the cage on which the phenomenon started allows to modify its operating conditions to prevent the problem from reoccurring when of the next re-accelaration.
  • the invention is not limited to the single embodiment described.
  • the mobile part and / or the fixed part of said clamping device may also be equipped with different types of digital sensors giving the position of one of these two parts with respect to the while remaining in the field of the invention.
  • vibration phenomena have been observed most often on cold tandem mills for rolling steel strips, but the process of the invention can be applied to hot rolling mills and to rolling mills as well as to those used for the production of non-ferrous material belts, such as aluminum for example.
  • the method of the invention can be used to detect different modes of vibration of the mill stands, it is also possible to use it to detect all the anomalies causing rapid variations of the position signal, of the type pulses, repetitive or not, without departing from the scope of the invention.
  • a cylinder mark will cause a fault that will generate a brief pulse at each turn of said cylinder, it is sufficient to detect it according to the method of the invention to determine the appropriate dimensions of the observation window.
  • the term 'vibration' has been used in the claims, but it must be extended to any anomaly causing a signal, repetitive or not, of rapid variation without departing from the scope of the invention.

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  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Control Of Metal Rolling (AREA)
  • Measurement Of Mechanical Vibrations Or Ultrasonic Waves (AREA)
EP05292206A 2004-11-12 2005-10-20 Verfahren zur Erkennung von Vibrationen eines Walzgerüstes Expired - Fee Related EP1657003B1 (de)

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
FR0412109A FR2877862B1 (fr) 2004-11-12 2004-11-12 Procede de detection des vibrations d'une cage de laminoir

Publications (2)

Publication Number Publication Date
EP1657003A1 true EP1657003A1 (de) 2006-05-17
EP1657003B1 EP1657003B1 (de) 2007-12-05

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EP05292206A Expired - Fee Related EP1657003B1 (de) 2004-11-12 2005-10-20 Verfahren zur Erkennung von Vibrationen eines Walzgerüstes

Country Status (8)

Country Link
US (1) US7188496B2 (de)
EP (1) EP1657003B1 (de)
KR (1) KR101227320B1 (de)
CN (1) CN1330437C (de)
BR (1) BRPI0504894A (de)
DE (1) DE602005003633T2 (de)
ES (1) ES2298969T3 (de)
FR (1) FR2877862B1 (de)

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CN102107224B (zh) * 2009-12-24 2012-09-26 上海梅山钢铁股份有限公司 热轧生产中判断测厚仪和热轧板厚度异常的方法
CN101726353B (zh) * 2008-10-27 2013-05-29 上海宝钢工业检测公司 热轧三辊卷取机晃动的在线监测装置及预警方法
CN104070066A (zh) * 2013-03-25 2014-10-01 宝山钢铁股份有限公司 轧机自激振动预警方法
CN113182351A (zh) * 2021-04-15 2021-07-30 首钢集团有限公司 一种热连轧机振动振纹的发生位置判别方法和装置
CN113226581A (zh) * 2018-12-27 2021-08-06 杰富意钢铁株式会社 冷轧机的颤动检测方法、冷轧机的颤动检测装置、冷轧方法及冷轧机

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CN101562367B (zh) * 2009-05-31 2012-05-09 重庆钢铁(集团)有限责任公司 轧辊电机总成
CN102107222B (zh) * 2009-12-24 2012-08-29 上海梅山钢铁股份有限公司 热轧精轧机设备状态在线振动检测装置及方法
JP5799611B2 (ja) * 2011-06-28 2015-10-28 Ｊｆｅスチール株式会社 冷間圧延機のチャタリング検出方法
CN103521531B (zh) * 2013-11-07 2015-06-10 天津理工大学 针对高速冷轧机第三倍频程颤振的故障诊断及反馈系统
CN104190724B (zh) * 2014-09-17 2016-03-30 太原理工大学 一种轧机压下系统机电液耦合垂向振动的测量装置
CN105436205B (zh) * 2014-09-30 2018-06-01 宝山钢铁股份有限公司 轧机振动报警及抑制方法
DE102015223516A1 (de) * 2015-09-23 2017-03-23 Sms Group Gmbh Walzgerüst, Walzlanlage und Verfahren zum aktiven Dämpfen von Schwingungen in einem Walzgerüst
EP3150292A1 (de) * 2015-10-02 2017-04-05 Primetals Technologies Austria GmbH Anstellvorrichtung
DE102016202367A1 (de) * 2016-02-16 2017-08-17 Sms Group Gmbh Vorrichtung zum Unterdrücken von Ratterschwingungen mit beschichteten Rollen in einer Walzstraße
CN105903769B (zh) * 2016-04-14 2018-01-19 北京工业大学 一种基于液压缸控制的板带轧机辊系抑振系统及方法
JP6841264B2 (ja) * 2018-05-30 2021-03-10 Ｊｆｅスチール株式会社 冷間圧延における異常振動検出方法
CN111318576B (zh) * 2020-03-04 2022-01-04 西安因联信息科技有限公司 一种基于工况信号触发的咬钢冲击数据滤除方法

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CN104070066B (zh) * 2013-03-25 2016-03-30 宝山钢铁股份有限公司 轧机自激振动预警方法
CN113226581A (zh) * 2018-12-27 2021-08-06 杰富意钢铁株式会社 冷轧机的颤动检测方法、冷轧机的颤动检测装置、冷轧方法及冷轧机
CN113226581B (zh) * 2018-12-27 2023-01-17 杰富意钢铁株式会社 冷轧机的颤动检测方法、冷轧机的颤动检测装置、冷轧方法及冷轧机
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CN113182351A (zh) * 2021-04-15 2021-07-30 首钢集团有限公司 一种热连轧机振动振纹的发生位置判别方法和装置

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FR2877862A1 (fr) 2006-05-19
KR101227320B1 (ko) 2013-01-28
US20060236736A1 (en) 2006-10-26
DE602005003633D1 (de) 2008-01-17
FR2877862B1 (fr) 2007-02-16
ES2298969T3 (es) 2008-05-16
BRPI0504894A (pt) 2006-06-27
EP1657003B1 (de) 2007-12-05
KR20060052624A (ko) 2006-05-19
US7188496B2 (en) 2007-03-13

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