CN108543815B - Whole roll-type plate-shaped sensing roller and its method for detecting shape - Google Patents

Whole roll-type plate-shaped sensing roller and its method for detecting shape Download PDF

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Publication number
CN108543815B
CN108543815B CN201810417152.XA CN201810417152A CN108543815B CN 108543815 B CN108543815 B CN 108543815B CN 201810417152 A CN201810417152 A CN 201810417152A CN 108543815 B CN108543815 B CN 108543815B
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strip
roll body
main roll
tensile stress
detection
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CN108543815A (en
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彭艳
邢建康
陈国兴
崔金星
孙建亮
石宝东
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Yanshan University
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Yanshan University
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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
    • B21B38/02—Methods or devices for measuring, detecting or monitoring specially adapted for metal-rolling mills, e.g. position detection, inspection of the product for measuring flatness or profile of strips

Abstract

The present invention relates to automatic measurement field, a kind of whole roll-type plate-shaped sensing roller and its method for detecting shape, including main roll body and displacement sensor are specifically disclosed；Main roll body is hollow tubular structure, through main roll body axial line in-plane along axial equidistantly two groups of blind holes of processing on main roll body inner surface, multiple displacement sensors are fixed in main roll body boring structure, each displacement sensor corresponds to a blind hole on main roll body, the detection direction of each displacement sensor passes through the axis of corresponding blind hole respectively, it symmetrical two displacement sensors will connect on 180 ° of directions of main roll body circumference, and form differential output circuit；Whole roll-type plate-shaped sensing roller is mounted on the former guide roller position between milling train and coiling machine and carries out flatness detection.The application rolls rear strip internal residual stress along the distribution of plate width direction, i.e. plate shape S by the acquisition of displacement sensor roller wall deflection.

Description

Whole roll-type plate-shaped sensing roller and its method for detecting shape
Technical field
The present invention relates to automatic measurement field more particularly to a kind of whole roll-type plate-shaped sensing roller and its flatness detection sides Method.
Background technique
The high-precision shape control of steel plate and process control are always the control target of strip production process, and the inspection of plate shape Measurement information directly affects product quality.Since actual production is there is an urgent need to improve brought great economic benefit with plate shape, Since the sixties in last century, the development of flatness detection device is carried out quite active, and each state has all put into comparable manpower And material resources, nearly all physical quantity for being able to reflect strip shape quality are tried the research for method for detecting shape.The inspection of plate shape Survey apparatus structure form is various, and working principle is also different, but can be by it substantially by the relationship of strip and flatness detection device It is divided into two major classes, contact plate profile instrument and contactless plate profile instrument.
Contact plate profile instrument has many advantages, such as that signal detection is direct, signal processing is easy fidelity, and detection accuracy is high, answers extensively For in cold rolling production.As the segmentation roll-type plate profile instrument of ABB AB, Sweden, the whole roller of University On The Mountain Of Swallows, China autonomous innovation development are inlayed Block formula and whole roller gapless plate profile instrument.The segmentation roll-type plate profile instrument of ABB AB is in use due to the variation of temperature, collars Precompression between roll body easily changes, and collars is made to produce relative rotation relative to roll body, and the collars changing of the relative positions is caused to scratch Band.The whole roller block insert type and whole roller gapless plate profile instrument of University On The Mountain Of Swallows avoid strip scuffing, but are adapted only in cold rolling environment Lower use can make sensor failure due to high temperature applied to hot rolling environment.
The hardware configuration of contactless plate profile instrument is relatively easy and easy to maintain, and cost and spare part are much relatively cheap；It passes Sensor is nonrotational part, easy for installation；And since the non-contact high temperature without by hot-rolling stock is influenced, applied in hot rolling It is relatively wide.But the Shape signal of contactless plate profile instrument be indirect signal, processing with great difficulty be distorted, therefore measurement accuracy compared with It is low.
In conclusion existing contact and contactless plate profile instrument cannot meet the detection need of hot rolling and cold rolling simultaneously It asks, the requirement that precision is high, performance is stable in hot rolling produces, especially cannot met simultaneously.Therefore, the present invention provides one kind Whole roll-type plate-shaped sensing roller can avoid the occurrence of strip in use and scratch phenomenon, and can be applied to cold rolling and heat simultaneously Environment is rolled, to Strip Shape Control strategy is formulated, high precision plate strip product is obtained and is of great significance.
Summary of the invention
The purpose of the present invention is to provide a kind of whole roll-type plate-shaped sensing roller and its method for detecting shape, which can Strip is avoided the occurrence of in use and scratches phenomenon, and can be applied to cold rolling and hot rolling environment simultaneously, the specific technical proposal is:
A kind of whole roll-type plate-shaped sensing roller, including main roll body and displacement sensor；
The main roll body is the hollow tubular structure with thickness, the axial line of the inner surface of the main roll body in main roll body Divide on in-plane along first group of blind hole of axial spaced set and second group of blind hole, first group of blind hole and second group of blind hole Not with the axis parallel of the main roll body and be spaced each other 180 ° and be symmetrically distributed on the inner surface of main roll body, each blind hole Diameter and depth are all identical；
Institute's displacement sensors are fixed in the boring structure of main roll body, and corresponding with each blind hole Position on be respectively provided with institute's displacement sensors, the bottom surface of institute's displacement sensors and the blind hole at a distance of one it is default away from From；Institute's displacement sensors are rotated together with the main roll body, and the detection direction of each displacement sensor passes through corresponding respectively The axis of the blind hole symmetrical two institute's displacement sensors will connect on 180 ° of directions of main roll body circumference, form differential Output circuit.
Preferably, the main roll body outer diameter is 300~500mm, and 70~80mm of wall thickness, appearance surface hardness is greater than 58HRC, outside Entire surface is seamless.
Preferably, the blind hole diameter is 20~50mm, and the roughness of blind hole bottom surface is no more than Ra0.4um, blind hole bottom surface Distance to home roll external surface is 2~5mm.
Preferably, institute's displacement sensors are ultrasonic sensor, infrared sensor or laser sensor；The displacement The range of sensor is greater than 5mm, and measurement accuracy is less than 100nm, and repeatable accuracy is less than 50nm, and sample frequency is greater than 10kHz.
A method of flatness detection is carried out using above-mentioned whole roll-type plate-shaped sensing roller, it is characterised in that including following step It is rapid:
S1 detects detected value when position and the second forced position according to first that institute's displacement sensors detect, obtains Obtain roller wall elastic deformation amount's Δ d of main roll bodyi；
S2 obtains the radial pressure F that main roll body detection position is subject to by way of calibrationiWith roller wall elastic deformation amount's Δ diRelation curve；Then according to roller wall elastic deformation amount's Δ d of the main roll body in step S1iObtain main roll body detection position by The radial pressure F arrivedi；
S3, the radial pressure F being subject to according to detection positioniObtain the strip longitudinal direction tensile stress σ of i-th of detection unitiAnd band The average longitudinal tensile stress of steelAnd obtain longitudinal residual stress Δ σi；
S4, according to acquisition longitudinal residual stress Δ σiMaximum longitudinal residual stress and minimum longitudinal residual stress are obtained, and Plate shape S is obtained using the elasticity modulus of the main roll body and the Poisson's ratio of main roll body.
Preferably, the step S1 specifically:
Δdi=di1-di0 (1)
Wherein, Δ diIndicate roller wall elastic deformation amount, di0Indicate detection position do not stress state when displacement sensor Value, di1Indicate displacement sensor value when detection position stress.
Preferably, the step S3 specifically:
The strip longitudinal direction tensile stress σ of i-th of detection unit is covered during the rolling processiWith strip to i-th of detection unit Radial pressure FiRelationship are as follows:
Fi=σi·bihi·2sinθ (3)
Wherein, biFor the strip width for covering i-th of detection unit in the operation of rolling；hiTo be covered in the operation of rolling i-th The steel strip thickness of detection unit；θ is the half that strip bypasses measuring roll cornerite in the operation of rolling；σiTo cover in the operation of rolling The strip longitudinal direction tensile stress of i detection unit；FiIt is strip to the radial pressure of i-th of detection unit；
According to expression formula (3) it is found that the strip longitudinal direction tensile stress σ of i-th of detection unitiExpression formula are as follows:
Strip tension TiWith strip longitudinal direction tensile stress σiRelationship are as follows:
Ti=σibihi (5)
Wherein, biFor the strip width for covering i-th of detection unit in the operation of rolling；hiTo be covered in the operation of rolling i-th The steel strip thickness of detection unit；σiFor the strip longitudinal direction tensile stress for covering i-th of detection unit in the operation of rolling；TiIt is examined for i-th Survey the strip tension of unit；
According to expression formula (3) and (5), the strip total tension T acted on plate-shaped sensing roller can be acquired are as follows:
After the strip total tension T acquired according to expression formula (6), the average longitudinal tensile stress of strip is obtainedAre as follows:
Wherein, B is strip width；H is steel strip thickness, and T is the strip total tension acted on plate-shaped sensing roller；
The strip longitudinal direction tensile stress σ obtained according to expression formula (4)iWith the average longitudinal direction of strip obtained according to expression formula (7) Tensile stressObtain longitudinal residual stress (stress-deviation) Δ σi:
Preferably, the S4 specifically:
Wherein, S is plate shape, and Δ l is strip longest and most short longitudinal fiber length difference；L is the most short longitudinal fiber of strip Length, Δ σmaxFor maximum longitudinal residual stress；ΔσminFor minimum longitudinal residual stress；E is the elasticity modulus of main roll body；ν is The Poisson's ratio of main roll body；I display plate shape basic unit is usually used in the world；
According to expression formula (8), Δ σmaxForSimilarly,Wherein σimaxFor band Steel longitudinal direction tensile stress σiMaximum value, σiminFor steel longitudinal direction tensile stress σiMinimum value.
The beneficial effects of the present invention are:
1, it can get compared with the higher Shape signal of conventional contactless plate profile instrument precision, while solving conventional contact Plate profile instrument sensor non-refractory and using limited problem in hot rolling, so as to be applied to cold rolling and hot rolling environment simultaneously.
2, measuring roll outer surface integral seamless can avoid the occurrence of strip in use and scratch phenomenon, sensor group Part is symmetrical along 180 ° of directions of main roll body circumference in measuring roll, can get more accurate flatness detection signal.
Detailed description of the invention
Fig. 1 is the structural schematic diagram of plate-shaped sensing roller main roll body；
Fig. 2 is the left view of plate-shaped sensing roller main roll body；
Fig. 3 is detection position partial enlarged view；
Fig. 4 is main roll body cornerite；
Main appended drawing reference:
Main roll body 1；Home roll external surface 11；Main roll body inner surface 12；
Displacement sensor 2；Steel plate 3；Blind hole 4；Retainer 5.
Specific implementation method
The present invention will be further described with reference to the accompanying drawing.
As shown in Figure 1, the present invention provides a kind of whole roll-type plate-shaped sensing roller for flatness detection, it mainly include main roll body 1 and displacement sensor 2.The main roll body 1 of whole roll-type plate-shaped sensing roller is hollow tubular structure, and preferred main roll body outer diameter is 300 ~500mm, 70~80mm of wall thickness.11 hardness of home roll external surface is greater than 58HRC, and 11 integral seamless of outer surface avoids use In the process to the scuffing of strip.Through 1 axial line in-plane of main roll body along axial equidistant processing on main roll body inner surface 12 Two groups of blind holes 4, the distance of two neighboring 4 axis of blind hole is preferably 55~65mm in every group of blind hole 4, and two groups of blind holes are all examined with plate shape It surveys roller axis parallel and 180 ° is symmetrically distributed on main roll body inner surface 12, i.e. mutual corresponding two blind holes in two groups of blind holes It is in 180 ° of angles on the same section of main roll body inner surface 12 and by dot of axial line.The diameter and depth of each blind hole 4 It is all identical, it is preferred that blind hole diameter is 20~50mm, and the roughness of blind hole bottom surface is no more than Ra0.4um, blind hole bottom surface to home roll The distance of external surface is 2~5mm.
Multiple displacement sensors 2 are fixed in main roll body boring structure, are preferably passed using 5 fixed displacement of retainer Sensor 2 is covered as 5 both ends of retainer can be fixed on main roll body two side ends with screw, and when work rotates together with main roll body.One A blind hole 4 on the corresponding main roll body 1 of displacement sensor 2, the detection direction of each displacement sensor 2 pass through corresponding blind hole respectively 4 axis.Two displacement sensors 2 symmetrical along 180 ° of main roll body circumference of direction are connected, differential output circuit is formed, The amplification of difference mode signal is realized using symmetric circuit, is inhibited common-mode signal, be can effectively reduce temperature drift, this connection and single group Sensor compares the flatness detection signal that can get higher precision.Adjust blind hole bottom surface on displacement sensor 2 and main roll body 1 away from From being in blind hole bottom surface in the range ability of displacement sensor.Since displacement sensor and measuring roll are not directly contacted with, thus Sensor temperature can be avoided excessively high in Flatness of Hot Rolled Strip detection process and damaged.Preferably, displacement sensor is ultrasonic wave Sensor, infrared sensor or laser sensor, the range of sensor are greater than 5mm, and measurement accuracy is less than 100nm, and repeats Precision is less than 50nm, and sample frequency is greater than 10kHz.
Whole roll-type plate-shaped sensing roller is mounted on the former guide roller position between milling train and coiling machine and carries out flatness detection, it will Steps are as follows for the specific calculating of whole roll-type plate-shaped sensing roller detection:
Step (1): the detection position detected according to displacement sensor 2 do not stress state when and detection position stress when inspection Measured value obtains the roller wall elastic deformation amount of main roll body.It will test the do not stress position of state of position and be set as the first detection position, The position that will test position stress is set as the second forced position.
All 2 numerical value of displacement sensor are reset before starting detection, are denoted as di0。di0It indicates in the detection process, check bit It sets when not stressing state, i.e., when main roll body goes to steel plate and does not contact detection position in the detection process, the measurement of displacement sensor Value, therefore di0Initialization value be zero.In detection process, when detecting position stress, i.e., the steel plate with tension is covered on detection When position, strip tension T acts on detection roller surface, roller wall can be made to generate flexible deformation, position the radial pressure F of detection position Displacement sensor measures the numerical value of different position distance blind hole bottom surface, is denoted as di1。
Roller wall elastic deformation amount's Δ diAre as follows:
Δdi=di1-di0 (1)
Wherein, Δ diIndicate roller wall elastic deformation amount, di0Indicate detection position do not stress state when displacement sensor Value, di1Indicate displacement sensor value when detection position stress.
Step (2), according to roller wall elastic deformation amount's Δ diObtain the radial pressure F that main roll body detection position is subject toi.When whole After the main roll body of roll-type plate-shaped sensing roller determines, main roll body parameter lambda is determined.Main roll body detection position is provided by way of calibration The radial pressure F being subject toiWith roller wall elastic deformation amount's Δ diRelationship, that is, use power-displacement calibrating device, by main roll body Detection position applies different radial pressure FiTo obtain corresponding roller wall elastic deformation amount Δ di, to obtain FiWith Δ di's Relation curve:
Fi=f (Δ di,λ) (2)
Expression formula (2) indicates radial pressure FiWith roller wall elastic deformation amount's Δ diIt is related to main roll body parameter lambda, wherein FiTable Show the radial pressure that detection position is subject to, Δ diIndicate that roller wall elastic deformation amount, λ are main roll body parameter.Main roll body parameter is in master Roll body has determined after manufacturing and the elasticity modulus of main roll body, detection position wall thickness, blind hole diameter etc. are related, using not Same main roll body can obtain different FiWith Δ diRelation curve.
Step (3), the radial pressure F being subject to according to detection positioniObtain residual stress (stress-deviation) Δ σi。
According to mechanical relationship and geometrical relationship it is found that the strip for covering i-th of detection unit during the rolling process is longitudinally opened Stress σiWith strip to the radial pressure F of i-th of detection unitiRelationship are as follows:
Fi=σi·bihi·2sinθ (3)
Wherein, biFor the strip width for covering i-th of detection unit in the operation of rolling；hiTo be covered in the operation of rolling i-th The steel strip thickness of detection unit；θ be the operation of rolling in strip bypass measuring roll cornerite half, with reference to Fig. 4 cornerite, that is, strip with Angle corresponding to main roll body contact portion circular arc.
According to expression formula (3) it is found that the strip longitudinal direction tensile stress σ of i-th of detection unitiExpression formula are as follows:
Strip tension Ti and strip longitudinal direction tensile stress σiRelationship are as follows:
Ti=σibihi (5)
According to expression formula (3) and (5), the strip total tension T acted on plate-shaped sensing roller can be acquired are as follows:
After the strip total tension T acquired according to expression formula (6), the average longitudinal tensile stress of strip is obtainedAre as follows:
Wherein, B is strip width；H is steel strip thickness.
The strip longitudinal direction tensile stress σ obtained according to expression formula (4)iWith the average longitudinal direction of strip obtained according to expression formula (7) Tensile stressObtain longitudinal residual stress (stress-deviation) Δ σi:
Step (4), computing board shape S.
I display plate shape basic unit is usually used in the world, and plate shape S is expressed as
Wherein, Δ l is strip longest and most short longitudinal fiber length difference；L is the length of the most short longitudinal fiber of strip, Δ σmaxFor maximum longitudinal residual stress；ΔσminFor minimum longitudinal residual stress；E is the elasticity modulus of main roll body；ν is main roll body Poisson's ratio.
According to expression formula (8), Δ σmaxForSimilarly,Wherein σimaxFor band Steel longitudinal direction tensile stress σiMaximum value, σiminFor steel longitudinal direction tensile stress σiMinimum value.
The application is by displacement sensor roller wall deflection, then passes through the conversion to surveyed deflection, so that it may To strip longitudinal direction tensile stress σiWith longitudinal residual stress Δ σi, and then obtain rolling rear strip internal residual stress along plate width direction Distribution, i.e. plate shape S.
The above is the preferred embodiment of the application, it is noted that for those skilled in the art For, under the premise of not departing from this technology principle, several improvements and modifications can also be made, these improvements and modifications also should be regarded as The protection scope of the application.

Claims (4)

1. a kind of whole roll-type plate-shaped sensing roller carries out method for detecting shape, whole roll-type plate-shaped sensing roller includes that main roll body and displacement pass Sensor；The main roll body is the hollow tubular structure with thickness, and the inner surface of the main roll body is flat in the axial line of main roll body First group of blind hole of spaced set and second group of blind hole, first group of blind hole and second group of blind hole are distinguished axially upward for face side With the axis parallel of the main roll body and be spaced each other 180 ° and be symmetrically distributed on the inner surface of main roll body, each blind hole it is straight Diameter and depth are all identical；Institute's displacement sensors are fixed in the boring structure of main roll body, and with it is described each It is respectively provided with institute's displacement sensors on the corresponding position of blind hole, the bottom surface of institute's displacement sensors and the blind hole is at a distance of one Pre-determined distance；Institute's displacement sensors are rotated together with the main roll body, and the detection direction of each displacement sensor passes through respectively The axis of the corresponding blind hole symmetrical two institute's displacement sensors will connect on 180 ° of directions of main roll body circumference, group At differential output circuit；It is characterized by comprising following steps:
S1 detects detected value when position and the second forced position according to first that displacement sensor detects, obtains main roll body Roller wall elastic deformation amount's Δ di；
S2 obtains the radial pressure F that main roll body detection position is subject to by way of calibrationiWith roller wall elastic deformation amount's Δ di's Relation curve；Then according to roller wall elastic deformation amount's Δ d of the main roll body in step S1iObtain what main roll body detection position was subject to Radial pressure Fi；
S3, the radial pressure F being subject to according to detection positioniObtain the strip longitudinal direction tensile stress σ of i-th of detection unitiIt is flat with strip Longitudinal tensile stressAnd obtain longitudinal residual stress Δ σi；
S4, according to acquisition longitudinal residual stress Δ σiMaximum longitudinal residual stress and minimum longitudinal residual stress are obtained, and utilizes institute The Poisson's ratio of the elasticity modulus and main roll body of stating main roll body obtains plate shape S.
2. whole roll-type plate-shaped sensing roller according to claim 1 carries out method for detecting shape, it is characterised in that: the step S1 specifically:
Δdi=di1-di0 (1)
Wherein, Δ diIndicate roller wall elastic deformation amount, di0Indicate displacement sensor value when the first detection position, di1Indicate the Displacement sensor value when two forced positions.
3. whole roll-type plate-shaped sensing roller according to claim 1 carries out method for detecting shape, it is characterised in that: the step S3 specifically:
The strip longitudinal direction tensile stress σ of i-th of detection unit is covered during the rolling processiWith strip to the radial direction of i-th of detection unit Pressure FiRelationship are as follows:
Fi=σi·bihi·2sinθ (3)
Wherein, biFor the strip width for covering i-th of detection unit in the operation of rolling；hiTo cover i-th of detection in the operation of rolling The steel strip thickness of unit；θ is the half that strip bypasses measuring roll cornerite in the operation of rolling；σiTo be covered in the operation of rolling i-th The strip longitudinal direction tensile stress of detection unit；FiIt is strip to the radial pressure of i-th of detection unit；
According to expression formula (3) it is found that the strip longitudinal direction tensile stress σ of i-th of detection unitiExpression formula are as follows:
Strip tension TiWith strip longitudinal direction tensile stress σiRelationship are as follows:
Ti=σi bi hi (5)
Wherein, biFor the strip width for covering i-th of detection unit in the operation of rolling；hiTo cover i-th of detection in the operation of rolling The steel strip thickness of unit；σiFor the strip longitudinal direction tensile stress for covering i-th of detection unit in the operation of rolling；TiIt is single for i-th of detection The strip tension of member；
According to expression formula (3) and (5), the strip total tension T acted on plate-shaped sensing roller can be acquired are as follows:
After the strip total tension T acquired according to expression formula (6), the average longitudinal tensile stress of strip is obtainedAre as follows:
Wherein, B is strip width；H is steel strip thickness, and T is the strip total tension acted on plate-shaped sensing roller；
The strip longitudinal direction tensile stress σ obtained according to expression formula (4)iWith the average longitudinal tensile stress of strip obtained according to expression formula (7)Obtain longitudinal residual stress Δ σi:
4. whole roll-type plate-shaped sensing roller according to claim 1 carries out method for detecting shape, it is characterised in that: the S4 tool Body are as follows:
Wherein, S is plate shape, and Δ l is strip longest and most short longitudinal fiber length difference；L is the length of the most short longitudinal fiber of strip, ΔσmaxFor maximum longitudinal residual stress；ΔσminFor minimum longitudinal residual stress；E is the elasticity modulus of main roll body；ν is main roll body Poisson's ratio；I display plate shape basic unit is usually used in the world；
According to expression formula (8), Δ σmaxForSimilarly,Wherein σimaxIt is vertical for strip To tensile stress σiMaximum value, σiminFor steel longitudinal direction tensile stress σiMinimum value.
CN201810417152.XA 2018-05-03 2018-05-03 Whole roll-type plate-shaped sensing roller and its method for detecting shape Active CN108543815B (en)

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Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
FR2602327B1 (en) * 1986-07-30 1990-11-09 Clecim Sa TAPE CONTROL ROLLER AND METHOD FOR PRODUCING THE SAME
ES2017747B3 (en) * 1986-12-04 1991-03-01 Clecim Sa DEVICE FOR MEASURING THE DEFECTS OF FLATNESS OF A BAND.
JPH093617A (en) * 1995-06-15 1997-01-07 Nisshin Steel Co Ltd Shape detecting roll
US6070472A (en) * 1997-02-06 2000-06-06 Sms Schloemann-Siemag Aktiengesellschaft Planarity measuring roller
JP2010203869A (en) * 2009-03-03 2010-09-16 Mitsubishi-Hitachi Metals Machinery Inc Shape measuring roll of metal strip

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
FR2602327B1 (en) * 1986-07-30 1990-11-09 Clecim Sa TAPE CONTROL ROLLER AND METHOD FOR PRODUCING THE SAME
ES2017747B3 (en) * 1986-12-04 1991-03-01 Clecim Sa DEVICE FOR MEASURING THE DEFECTS OF FLATNESS OF A BAND.
JPH093617A (en) * 1995-06-15 1997-01-07 Nisshin Steel Co Ltd Shape detecting roll
US6070472A (en) * 1997-02-06 2000-06-06 Sms Schloemann-Siemag Aktiengesellschaft Planarity measuring roller
JP2010203869A (en) * 2009-03-03 2010-09-16 Mitsubishi-Hitachi Metals Machinery Inc Shape measuring roll of metal strip

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