CN103639241A - Method for directly measuring rolling reduction of straightening machine roll system - Google Patents

Method for directly measuring rolling reduction of straightening machine roll system Download PDF

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CN103639241A
CN103639241A CN201310731314.4A CN201310731314A CN103639241A CN 103639241 A CN103639241 A CN 103639241A CN 201310731314 A CN201310731314 A CN 201310731314A CN 103639241 A CN103639241 A CN 103639241A
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roller
drafts
fascinates
measurement
roll
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CN103639241B (en
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田晨曦
刘胜涛
叶信良
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Erzhong Deyang Heavy Equipment Co Ltd
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China Erzhong Group Deyang Heavy Industries Co Ltd
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Abstract

The invention discloses a method for directly measuring rolling reduction of a straightening machine roll system. According to the measurement method, direct measurement can be performed, and the measurement accuracy is high. The method comprises the following steps: A, setting a lower roll system hinge point and a tilting roll system hinge point, mounting a position measurement element between the lower roll system hinge point and the tilting roll system hinge point, and performing zero calibration on the measurement element; B, calculating the center distance L between a head roll and a tail roll in the tilting roll system, wherein L1 is equal to t*(n-1)(mm); C, adjusting the tilting roll system, so that an angle is formed between a straightening roller center connecting line before adjustment of the tilting roll system and the straightening roller center connecting line after the adjustment, and calculating the horizontal offset L2 of the tail roll in the tilting roll system; D, calculating theoretical rolling reduction h3, and calculating a measuring error delta h4, wherein delta h4 is equal to h3-h1(mm); and E, measuring to obtain the measured rolling reduction h2 through the position measurement element, and calculating the actual rolling reduction to be h2-delta h4-delta h1+delta h2+delta h3(mm). According to the measurement method, direct measurement can be realized, the measurement accuracy is high, and the interference factors are reduced.

Description

Roller system of straightening machine drafts direct measuring method
Technical field
Patent of the present invention relates to the roller system of straightening machine drafts measuring method in a kind of metallurgy industry, and the roller that is particularly suited for a kind of Strip workshop leveller equipment is drafts direct measuring method.
Background technology
Known: it is that drafts relies on displacement transducer to carry out measuring method to have two kinds that the existing straightener of China's metallurgy industry is rectified roller:
The first: it is that drafts is measured that the displacement transducer of dependence housing screw or hydraulic cylinder for reduction system device carries out roller;
The second: relying on screw and the displacement transducer of hydraulic pressure adjustment unit device between upper stressed to carry out roller is drafts measurement.
Above two kinds of measuring methods, the setting of drafts numerical value is subject to the impact of equipment rigidity, component assembling gap, kinematic pair movement clearance.Whole Equipment rigidity can be calculated the rigidity value of significant components by finite element method, and this result of calculation and actual conditions in kind exist certain deviation.Simultaneously the numerical value of drafts is also subject to the impact of component assembling gap and kinematic pair movement clearance, loaded down with trivial details because calculating, and generally according to relevant parameter, carries out valuation calculating, and the drafts precision that obtains is low, accuracy is low.Above-mentioned two kinds of computational methods are carried out the calculating of drafts to the steel plate below certain thickness, because straightening force is not very large, can not cause very large threat to equipment, and because of roller be that whole drafts is larger, the variation of small drafts, also not too large on aligning rear plate shape impact.But for special heavy plate, the minor variations of drafts numerical value, all can be on equipment after stressed and aligning plate shape cause very large impact, value is improper, has the risk of damage equipment.Therefore must accurately measure the drafts of roller system of straightening machine.
Summary of the invention
Technical problem to be solved by this invention is to provide a kind of can directly measurement, the roller system of straightening machine drafts direct measuring method that certainty of measurement is higher.
The technical solution adopted for the present invention to solve the technical problems is: roller system of straightening machine drafts direct measuring method, comprises the following steps:
A, first in lower replaceable straightening roller system, lower roll is set is pin joint to the centre position between the end of adjacent two smoothing rolls, and it is pin joint that the end that is the smoothing roll that pin joint is corresponding with lower roll in the roller that fascinates system arranges the roller that fascinates; It is that pin joint and the roller that fascinates are between pin joint that position measurement element is arranged on to lower roll; And measuring cell is carried out to Zero positioning;
B, by formula L 1=t * (n-1) (mm), calculates the centre-to-centre spacing L of first roller and last roller in the roller system that fascinates 1, the n number of lower smoothing roll in roller system that represents to fascinate wherein; Wherein t refers to that the roller that fascinates is the theoretical designing between adjacent twice smoothing rolls;
C, adjust the roller system that fascinates, roller system is whole before adjusting the smoothing roll line of centres of making to fascinate has angle with adjusting between the smoothing roll line of centres afterwards, passes through formula the fascinate horizontal offset L of last roller in roller system of calculating 2; Wherein adjust height h 1in in the roller that fascinates while referring to work system after last roller adjustment with the roller that fascinates being, last roller is adjusted the difference in height in front vertical direction;
D, pass through formula
Figure BDA0000447337200000021
calculate theoretical drafts h 3; By formula Δ h 4=h 3-h 1(mm) computation and measurement margin of error Δ h 4;
E, by position measurement element, measure and measure drafts h 2; Calculate actual drafts=h 2-Δ h 4-Δ h 1+ Δ h 2+ Δ h 3(mm); Δ h wherein 1refer in the roller system of fascinating and the stock removal of corresponding smoothing roll mutually in lower replaceable straightening roller system, Δ h 2refer to smoothing roll bearing clearance, Δ h 3refer to roller amount, Δ h 4refer to amount of measurement error.
Further, protective sleeve is installed in steps A on measuring cell.
Beneficial effect of the present invention: roller system of straightening machine drafts direct measuring method of the present invention, by position measurement element is arranged on lower roll be pin joint and upper roller system hinged between, directly measure drafts.While calculates theoretical drafts according to corresponding formula, by theoretical drafts and measurement drafts, calculates measure error, by measure error, measurement drafts is revised and is made certainty of measurement more accurate.Therefore roller system of straightening machine drafts direct measuring method of the present invention can improve the precision of measuring drafts when realizing directly measurement.
Accompanying drawing explanation
Fig. 1 is roller system of straightening machine drafts direct measuring method error checking schematic diagram provided by the present invention;
Fig. 2 is roller system of straightening machine drafts direct measuring method principle schematic provided by the present invention;
In figure, indicate: the 1-roller that fascinates is pin joint, 2-position measurement element, 3-protective sleeve, 4-lower roll is pin joint, the 5-roller system that fascinates, replaceable straightening roller system under 6-.
The specific embodiment
Below in conjunction with drawings and Examples, the present invention is further described.
As Fig. 1, shown in Fig. 2, roller system of straightening machine drafts direct measuring method, comprises the following steps:
A, first in lower replaceable straightening roller system 6, lower roll is set is pin joint 4 to the centre position between the end of adjacent two smoothing rolls, and it is pin joint 1 that the end that the roller that fascinates is is the smoothing roll that pin joint 4 is corresponding with lower roll in 5 arranges the roller that fascinates; It is that pin joint 4 and the roller that fascinates are between pin joint 1 that position measurement element 2 is arranged on to lower roll; And measuring cell 2 is carried out to Zero positioning;
B, by formula L 1=t * (n-1) (mm), calculates the roller that fascinates and is the centre-to-centre spacing L of first roller and last roller in 6 1, the n number of lower smoothing roll 6 in roller system that represents to fascinate wherein; Wherein t refers to that the roller that fascinates is the theoretical of design between adjacent twice smoothing rolls 6;
C, to adjust the roller that fascinates be 5, and to be the smoothing roll line of centres before 5 whole adjustment have angle with adjusting between the smoothing roll line of centres afterwards to the roller that makes to fascinate, and passes through formula the calculating roller that fascinates is the horizontal offset L of last roller in 5 2; Wherein adjust height h 1the roller that fascinates while referring to work be in 5 after last roller adjustment with the roller that fascinates be in 5 last roller adjust before difference in height in vertical direction;
D, pass through formula
Figure BDA0000447337200000032
calculate theoretical drafts h 3; By formula Δ h 4=h 3-h 1(mm) computation and measurement margin of error Δ h 4;
E, by position measurement element 2, measure and measure drafts h 2; Calculate actual drafts=h 2-Δ h 4-Δ h 1+ Δ h 2+ Δ h 3(mm); Δ h wherein 1refer to the roller that fascinates be in 5 with the mutual stock removal of corresponding smoothing roll in lower replaceable straightening roller system 6, Δ h 2refer to smoothing roll bearing clearance, Δ h 3refer to roller amount, Δ h 4refer to amount of measurement error.
Above-mentioned roller system of straightening machine drafts direct measuring method is installed position measuring cell 2 in steps A, and position measuring cell 1 has been carried out to Zero positioning.
At step B, to step D, the theoretical drafts of straightener is calculated, in step C, first drafts has been carried out to default adjustment, by being 5 to adjust the axle that fascinates, to be the smoothing roll line of centres before 5 whole adjustment have angle with adjusting between the smoothing roll line of centres afterwards to the axle that makes to fascinate.Therefore the roller that fascinates is that in 5, the drafts of last roller has a default definite value.Described last roller is that the roller that fascinates is the smoothing roll of low order end in 5.In step D, by theory, calculate theoretical drafts, by theoretical drafts h 3with adjustment height h 1computation and measurement margin of error Δ h 4.Thereby prepare for finally showing that actual drafts is carried out to calculate accurately.
In step e, by position measurement element 2, measure and measure drafts h 2, then pass through formula: actual drafts=h 2-Δ h 4-Δ h 1+ Δ h 2+ Δ h 3(mm), calculate actual drafts.Δ h 1refer to the roller that fascinates be in 5 with the mutual stock removal of corresponding smoothing roll in lower replaceable straightening roller system 6, Δ h 2refer to smoothing roll bearing clearance, Δ h 3refer to roller amount, Δ h 4refer to amount of measurement error.When actual drafts is calculated according to small deformation theory, horizontal offset L 2ignore, pass through formula: actual drafts=h 2-Δ h 4-Δ h 1+ Δ h 2+ Δ h 3(mm) drafts is calculated, wherein amount of measurement error Δ h 4value is 0.This account form is applicable to when straightener is aligned the steel plate of thinner thickness, the measurement of actual drafts.Because straightening force is not very large, can not cause very large threat to equipment, and because roller is that whole drafts is less, the variation of small drafts, also not too large on aligning rear plate shape impact.When actual drafts is calculated according to Large Deformation Theory, horizontal offset L 2can not ignore.Therefore pass through formula: actual drafts=h 2-Δ h 4-Δ h 1+ Δ h 2+ Δ h 3(mm) actual drafts is calculated, wherein Δ h 4value is not 0, thereby is conducive to improve the certainty of measurement of actual drafts.This account form is applicable to the calculating of actual drafts when straightener is aligned the thicker steel plate of thickness.When straightener is aligned the thicker steel plate of thickness, the minor variations of drafts numerical value, all can be on equipment after stressed and aligning plate shape cause very large impact, value is improper, has the risk of damage equipment.Therefore the roller that fascinates is the horizontal offset L of 5 last roller 2can not ignore, actual drafts should calculate according to Large Deformation Theory.Actual drafts=h 2-Δ h 4-Δ h 1+ Δ h 2+ Δ h 3, the h of Δ described in formula 3refer to roller amount, this numerical value, mainly for the straightener that has roller function, can be measured this roller amount Δ h according to the overhang of bowed roller hydraulic cylinder 3, the actual drafts calculating is the actual drafts of smoothing roll centerline.As Δ h 3value is 0 o'clock, and the drafts calculating is the actual drafts of smoothing roll end.
The measuring principle of above-mentioned roller system of straightening machine drafts direct measuring method: first position measuring cell 2 is installed, measured and measure drafts h by position measurement element 2 2, then according to correlation formula, calculate theoretical drafts h 3, by theoretical drafts h 3and adjustment height h 1calculate amount of measurement error Δ h 4, finally by the direct reading h of position measurement element 2 2and formula: actual drafts=h 2-Δ h 4-Δ h 1+ Δ h 2+ Δ h 3(mm) calculate actual drafts.
Conventional traditional measurement method comprises two kinds: the first: it is that drafts is measured that the displacement transducer of dependence housing screw or hydraulic cylinder for reduction system device carries out roller; The second: relying on screw and the displacement transducer of hydraulic pressure adjustment unit device between upper stressed to carry out roller is drafts measurement.
Above-mentioned two kinds of measuring methods are all to measure drafts by indirect measurement; While indirectly measuring, in the setting value of roll gap and measuring process, the numerical value of institute's use sensor is not same numerical value; indirectly measure the gap values between rollers of extrapolating and do not conform to the actual conditions, in aligning model, visualize is that drafts is different.
Take 11 roller straighteners as example, under different situations, under the precondition of given sheet material width, thickness, yield strength, mistake lengthening coefficient, according to aligning model, provide different drafts; Observation the in the situation that of different drafts, the situation of change of straightening force, the 3rd roller moment of torsion, remnant curvature:
Table 1-1, during slab aligning, in the situation of different drafts, the situation of change of straightening force, the 3rd roller moment of torsion:
Figure BDA0000447337200000041
From table 1-1, can find out, the minor variations of drafts is larger on the impact of straightening force; The minor variations of drafts is very large on the impact of the 3rd roller moment of torsion, thereby threatens the safety of spindle.
Table 1-2, while optimizing aligning, in the situation of different drafts, the situation of change of remnant curvature:
Figure BDA0000447337200000051
From table 1-2, can find out that the minor variations of drafts plays very important effect to remnant curvature.
Therefore by conventional traditional measurement method, the drafts of measuring is because the numerical value of institute's use sensor in the setting value of roll gap and side amount process does not all exist certain error for same numerical value, cause the slight error of drafts, thereby cause the variation of straightener straightening force, the remnant curvature variation of sheet material etc.; Affect the production of whole straightener.
Roller system of straightening machine drafts direct measuring method of the present invention has advantages of following outstanding with respect to traditional measurement method: roller system of straightening machine drafts direct measuring method first of the present invention can realize the direct measurement to straightening roll press quantity.Avoided loaded down with trivial details calculating.Simultaneously measurement result is only subject to the impact of measure error, not affected by the alignment error of equipment so the drafts precision that obtains higher, accuracy is higher.Thereby avoid the slight error of drafts to impact the parameters of straightener.
Next roller system of straightening machine drafts direct measuring method of the present invention, by calculating theoretical drafts, by theoretical drafts h 3and adjustment height h 1calculate amount of measurement error Δ h 4.By amount of measurement error Δ h 4to measuring drafts h 2result revise, make measurement result more accurate.
Last roller system of straightening machine drafts direct measuring method of the present invention belongs to a kind of method of direct measurement drafts, with respect to traditional measuring method, is non-obvious, can not be derived and be drawn by traditional measuring method; Simultaneously because conventional traditional measurement method is indirect measurement method, so the technological means that roller system of straightening machine drafts direct measuring method neither those skilled in the art's routine.
In order to prevent that position measurement element 2 is subject to the corrosion of water, iron scale in the process of measuring, and further, installs protective sleeve 3 in steps A on position measuring cell 2.By 3 pairs of position measuring cells 2 of protective sleeve, protect, avoided the pollutant in external environment to cause corrosion to measuring cell 2, also avoided external environment to cause interference to measurement result simultaneously.Therefore by is set the service life that protective sleeve 3 can extended position measuring cell 2, can effectively guarantee certainty of measurement simultaneously.
Embodiment mono-
Roller system of straightening machine drafts direct measuring method, comprises the following steps:
A, first in lower replaceable straightening roller system 6, lower roll is set is pin joint 4 to the centre position between the end of adjacent two smoothing rolls, and it is pin joint 1 that the end that the roller that fascinates is is the smoothing roll that pin joint 4 is corresponding with lower roll in 5 arranges the roller that fascinates; It is that pin joint 4 and the roller that fascinates are between pin joint 1 that position measurement element 2 is arranged on to lower roll; And measuring cell 2 is carried out to Zero positioning;
B, by formula L 1=t * (n-1) (mm), calculates the roller that fascinates and is the centre-to-centre spacing L of first roller and last roller in 5 1, wherein the n roller that represents to fascinate is the number of smoothing roll in 5; Wherein t refers to that the roller that fascinates is the theoretical designing between adjacent two smoothing rolls in 5;
C, to adjust the roller that fascinates be 5, and to be the smoothing roll line of centres before 5 whole adjustment have angle with adjusting between the smoothing roll line of centres afterwards to the roller that makes to fascinate, and passes through formula
Figure BDA0000447337200000061
the calculating roller that fascinates is the horizontal offset L of last roller in 5 2; Wherein adjust height h 1the roller that fascinates while referring to work be in 5 after last roller adjustment with the roller that fascinates be in 5 last roller adjust before difference in height in vertical direction;
D, pass through formula
Figure BDA0000447337200000062
calculate theoretical drafts h 3; By formula Δ h 4=h 3-h 1(mm) computation and measurement margin of error Δ h 4;
E, by position measurement element 2, measure and measure drafts h 2; Calculate actual drafts=h 2-Δ h 4-Δ h 1+ Δ h 2+ Δ h 3(mm); Δ h wherein 1refer to the roller that fascinates be in 5 with the mutual stock removal of corresponding smoothing roll in lower replaceable straightening roller system 6, Δ h 2refer to smoothing roll bearing clearance, Δ h 3refer to roller amount, Δ h 4refer to amount of measurement error.
Implementation step by above-mentioned roller system of straightening machine drafts direct measuring method is measured the roller system of straightening machine drafts of 7 rollers, 9 rollers, 11 rollers and 13 rollers.
The roller that fascinates is that to get 360mm(larger for the theoretical t of design between 5 adjacent two smoothing rolls 6), when getting smaller value, error amount can reduce thereupon.Wherein adjust height h 1the roller that fascinates while referring to work be in 5 after last roller adjustment with the roller that fascinates be in 5 last roller adjust before difference in height in vertical direction.According to roller number, each value is relatively all larger, and when getting smaller value, error amount can reduce thereupon.According to roller count the concrete value of each parameter and according to the theoretical result of calculating of moderate finite deformation as shown in table 1-3.
Table 1-3, the measurement result of the roller system of straightening machine drafts of 7 rollers, 9 rollers, 11 rollers and 13 rollers
Figure BDA0000447337200000063
Table 1-3, continued
Figure BDA0000447337200000071
The process of sheet material being proofreaied and correct at actual straightener is mainly by adjusting height h 1control drafts, due to h 1be difficult to carry out actual measurement, so h 1numerical value often adopt the measurement drafts h being measured by position measurement element 2 2the actual drafts numerical value calculating.In actual measuring process, position measuring cell 2 is that pin joint 4 and the roller that fascinates are between pin joint 1 owing to being arranged on lower roll, is being 5 to carry out integral body while adjusting to the axle that fascinates, and because the axle that fascinates is 5 can inclination certain angles, produces a displacement making progress.Therefore position measurement element 2 will measure one to measure drafts be h 2.Because the roller that fascinates is 5 certain angles that tilted, therefore can produce a theoretical drafts h 3, by adjusting height h in table 1 1theoretical value and theory of correspondences drafts h 3numerical value compare, can draw theoretical drafts h 3with adjustment height h 1numerical value substantially equal, theory error is little, precision is higher.By theoretical drafts h 3with adjustment height h 1computation and measurement margin of error Δ h 4.Finally pass through formula: actual drafts=h 2-Δ h 4-Δ h 1+ Δ h 2+ Δ h 3(mm) calculate actual drafts.Adjust height h 1the numerical value that adopts actual drafts is 5 to adjust to the roller that fascinates.Thereby can guarantee the certainty of measurement of drafts, avoid that the value of drafts is improper causes damage to equipment.
By roller system of straightening machine drafts direct measuring method of the present invention, to the roller that fascinates of the straightener of 7 rollers, 9 rollers, 11 rollers and 13 rollers, be that 5 drafts have carried out theoretical calculate and measurement, obtained the measurement result of table 1-1.By calculating the theoretical drafts h of gained in table 1-1 3with adjustment height h 1numerical value contrast can show that the method theory error is little, precision is higher.This roller system of straightening machine drafts direct measuring method, the drafts that is by position measurement element 2 pair rollers directly measures measures drafts h 2, disturbing factor that therefore can effective less drafts.Pass through theoretical drafts h simultaneously 3calculate, by theoretical drafts h 3with adjustment height h 1calculate amount of measurement error Δ h 4.By amount of measurement error Δ h 4to the measurement drafts h measuring 2revise, finally obtain actual drafts, guaranteed accuracy and the precision of measurement result.

Claims (2)

1. roller system of straightening machine drafts direct measuring method, is characterized in that comprising the following steps:
A, first in lower replaceable straightening roller system (6), lower roll is set is pin joint (4) to the centre position between the end of adjacent two smoothing rolls, and the end setting that is the smoothing roll that pin joint (4) is corresponding with lower roll in the roller that fascinates system (5) roller that fascinates is pin joint (1); It is that pin joint (4) and the roller that fascinates are between pin joint (1) that position measurement element (2) is arranged on to lower roll; And measuring cell (2) is carried out to Zero positioning;
B, by formula L 1=t * (n-1) (mm), calculates the centre-to-centre spacing L of first roller and last roller in the roller system (5) that fascinates 1, the n number of smoothing roll in roller system (5) that represents to fascinate wherein; Wherein t refers to the theoretical designing between adjacent two smoothing rolls in the roller system (5) that fascinates;
C, adjust the roller system (5) that fascinates, roller system (5) is whole before adjusting the smoothing roll line of centres of making to fascinate has angle with adjusting between the smoothing roll line of centres afterwards, passes through formula
Figure FDA0000447337190000011
the fascinate horizontal offset L of last roller in roller system (5) of calculating 2; Wherein adjust height h 1in the roller that fascinates while referring to work system (5), after last roller adjustment, be that in (5), last roller is adjusted the difference in height in front vertical direction with the roller that fascinates;
D, pass through formula
Figure FDA0000447337190000012
calculate theoretical drafts h 3; By formula Δ h 4=h 3-h 1(mm) computation and measurement margin of error Δ h 4;
E, by position measurement element (2), measure and measure drafts h 2; Calculate actual drafts=h 2-Δ h 4-Δ h 1+ Δ h 2+ Δ h 3(mm); Δ h wherein 1refer in the roller system (5) that fascinates and the stock removal of corresponding smoothing roll mutually in lower replaceable straightening roller system (6), Δ h 2refer to smoothing roll bearing clearance, Δ h 3refer to roller amount, Δ h 4refer to amount of measurement error.
2. roller system of straightening machine drafts direct measuring method as claimed in claim 1, is characterized in that: in steps A, at the upper protective sleeve (3) of installing of measuring cell (2).
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Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106363042A (en) * 2015-07-21 2017-02-01 宝山钢铁股份有限公司 Rolling reduction precision control method for tension leveler
CN108645318A (en) * 2018-05-07 2018-10-12 攀钢集团攀枝花钢钒有限公司 The manufacturing method of straightening roll between centers distance measurement method and survey tool and tool
CN108655208A (en) * 2018-05-29 2018-10-16 攀钢集团攀枝花钢钒有限公司 Straightener straightened state investigating method and straightener straightened state TT&C system
CN111457826A (en) * 2020-03-31 2020-07-28 鞍钢股份有限公司 Rapid angle checking method for straightening machine
CN113976671A (en) * 2021-09-28 2022-01-28 邯郸钢铁集团有限责任公司 Pressing calibration method of vertical straightening machine

Cited By (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106363042A (en) * 2015-07-21 2017-02-01 宝山钢铁股份有限公司 Rolling reduction precision control method for tension leveler
CN106363042B (en) * 2015-07-21 2018-10-02 宝山钢铁股份有限公司 Withdrawal straightening machine drafts accuracy control method
CN108645318A (en) * 2018-05-07 2018-10-12 攀钢集团攀枝花钢钒有限公司 The manufacturing method of straightening roll between centers distance measurement method and survey tool and tool
CN108655208A (en) * 2018-05-29 2018-10-16 攀钢集团攀枝花钢钒有限公司 Straightener straightened state investigating method and straightener straightened state TT&C system
CN108655208B (en) * 2018-05-29 2019-11-19 攀钢集团攀枝花钢钒有限公司 Straightener straightened state investigating method and straightener straightened state TT&C system
CN111457826A (en) * 2020-03-31 2020-07-28 鞍钢股份有限公司 Rapid angle checking method for straightening machine
CN111457826B (en) * 2020-03-31 2021-10-22 鞍钢股份有限公司 Rapid angle checking method for straightening machine
CN113976671A (en) * 2021-09-28 2022-01-28 邯郸钢铁集团有限责任公司 Pressing calibration method of vertical straightening machine

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