JPH0257645B2 - - Google Patents

Description

DETAILED DESCRIPTION OF THE INVENTION The present invention relates to a method for measuring roll alignment of a continuous casting machine.

A continuous casting machine is equipment that produces slabs by first cooling molten steel poured into a mold in the mold, and then cooling it secondarily while guiding and supporting the slab with a group of rolls.
The roll alignment of the roll group has a great influence on the quality of the slab, so strict accuracy is required. Therefore, as shown in Figures 1 and 2, the coordinates of each roll in the coordinate system determined by the shape of the measuring instrument are converted into a specific coordinate system using a measuring instrument 1 that can pass through the roll cavity C and a calculation device. We were looking for alignment of the entire group. Here, the measuring device 1 includes a measuring position detecting device 2 capable of detecting a sensor position in a linear conveyance direction, an R gauge 3 having a curvature that is approximately the same as the reference curvature of the arc-shaped roll cavity, a gap sensor 4, and a fixing device 5. , at least 3
It suddenly comes to rest on a roll larger than a book,
The roll position is measured in this stationary state, and then the same measurement is performed by moving to the next zone.

In this measuring method, although the measuring instrument 1 is fixed by the fixing device 5 so as to be perpendicular to the roll, the measuring instrument 1 is fixed at an angle to the line center line _L0 as shown in FIG. 3a. If the gap sensor 4 is tilted as shown in Fig. 3b,
, that is, the relationship between the output of the measurement position detection device 2 and the output of the gap sensor 4 deviates, and the following effects appear on the measured values. Note that a pair of gap sensors 4 are provided in the direction of the roll center axis, and the average value thereof is used.

In other words, if the rolls are aligned on R with a radius of 10 m, the envelope of the roll group is as shown in Figure 4, with contact A of contact points A, B, and C as the origin, and the envelope curve is If ^the center ^of a certain circle is taken as the y ^- axis, it is expressed as It becomes larger than when it is 0°, and the radius of curvature becomes a larger value than it actually is. For example, if the actual radius of curvature is 10000mm, = 3mm at 1°, = 310 at 10°
The measurement will be larger than mm.

The present invention has been proposed in view of the above circumstances, and its purpose is to provide a measuring method that can obtain accurate roll alignment by performing tilt correction.

The present invention will be described below based on an illustrated embodiment. When the measuring device 1 is tilted by an angle with respect to the line center line L ₀ , the trajectory of the envelope of the measured value of the sensor 4 becomes an ellipse as shown in FIGS. 5 and 6. The rolls are aligned in a perfect circle and measuring device 1
When the inclination is 0°, the measured value envelope draws a perfect circle, but when the measuring instrument 1 is only inclined, it becomes an ellipse with a major axis of 2R/cos and a minor axis of 2R, as shown in Figure 7. will be drawn. Therefore, the measured value
Accurate roll alignment can be obtained by performing tilt correction as follows: C′ (x _C ′, y _C ′) → C″ (x _C ″, y _C ″). Detect the inclination angle of the measuring device 1, measure the contact point coordinates in a coordinate system determined by the shape of the measuring device 1 (R gauge 3 with approximately the same curvature as the reference curvature of the arc-shaped roll cavity), and measure the contact point coordinates in the coordinate system. is converted into coordinates in a specific coordinate system, and the coordinates of the contact points in the specific coordinate system are corrected based on the initial value of the center angle between the rolls to determine the alignment of the entire roll group.

Detection of inclination angle of measuring device 1 In this embodiment, as shown in FIG.
This is a case where three rolls are measured at once, and the inclination angle is determined by the inclinations ₁ , ₂ , and ₃ of the three rolls. For example, the first slope is
₁ = tan ^-1 (l ₁₂ -l ₁₁ /L) (L: distance between a pair of scales, l: distance from the end of the scale to the roll contact point).

Furthermore, after measuring these three rolls,
Move the measuring device 1 to the position of the next three rolls. At this time, since the inclination angle changes again, the above-mentioned measurement is carried out in the same manner (see FIG. 3c). Repeat the above operations for all rolls.

Measurement of contact coordinates in the measuring instrument coordinate system As shown in Figure 8, from the measuring instrument 1, the contact point coordinates A (x _A ,
y _A ), B (x _B , y _B ), and C (x _C , y _C ) are obtained. Since tilt correction cannot be performed in such a coordinate system, next, conversion to a specific coordinate system is performed, but prior to this, the following assumptions are made.

As shown in FIG. 9, it is assumed that the rolls do not move laterally, but move on a radial line connecting the normal roll position and the center O, and the center angle θ between the rolls does not change. Therefore, the central angle θ between the rolls when the measuring instrument tilt is 0° is determined in advance, and this θ
Set the initial value.

In addition, since the position of the tilted measuring device is close to a perfect circle in the ellipse shown in Fig. 7 (near the y-axis), the two roll contact points (7th In the figure, A,
Select B) and set the perpendicular bisector of the line connecting these two points as the y-axis. In other words, determine which two rolls the measuring device is in contact with based on the measured value of the gap sensor, and find the bisector of the central angle of the two rolls (which is in contact with the two rolls with the measured value Min). Make it the y-axis.

Here, we will explain the case where the measuring instrument is in contact with rolls A and B, and the bisector of the central angle of A and B is the y-axis, as shown in Fig. 10.
Even if rolls A and C are in contact, it can be implemented using the same concept.

Conversion to a specific coordinate system In Figure 10, the contact point coordinates B and C when the inclination is 0° are expressed as follows using initial values θ ₁ ° and θ ₂ ° (the contact point coordinate A is the same as B, ) B [Rsinθ ₁ /2, Rcosθ ₁ /2] C [Rsin (θ ₁ /2 + θ ₂ ), Rcosθ ₁ /2 + θ ₂ )] Also, the ellipse drawn by the envelope of the tilted measurement value is x ² /(X ² /R) ² +y ² /R ² =1 (2). Points B' and C' on this ellipse are expressed as follows.

B′ [x _B ′, Rcosθ ₁ /2] C′ [x _C ′, Rcos (θ ₁ /2 + θ ₂ )] By substituting this value into equation (2), B′ and C′ become as follows. Become.

Therefore, In such a specific coordinate system, the contact point coordinates A′,
B' and C' are expressed as follows using θ ₁ ' and θ ₂ ' mentioned above.

A′[−′sinθ ₁ ′/2, ′cosθ ₁ ′/2] B′[′sinθ ₁ ′/2, ′cosθ ₁ ′/2] C′[′sin(θ ₁ ′/2+θ ₂ ′), ′cosθ ₁ ′/2+θ ₂ ′)] The center O of the specific coordinate system (the intersection of the y-axis and the x-axis) is drawn by drawing two circles whose circumferential angles are the roll center angles θ ₁ ′ and θ ₂ ′. , can be found from their intersection.

For the contact point coordinates A', B', and C', the center O obtained by this calculation may be used, or the center O based on the design of the equipment may be used. These deviations are only slightly different and can be ignored in practical terms.

Correction of measured values Contact coordinates A′, B′, expressed as above
C' is corrected using the roll center angle initial values θ ₁ and θ ₂ (see FIG. 11).

That is, the corrected coordinates for point C are as follows.

C″ [y _C ″/tan (θ ₁ /2+θ ₂ ), y _C ′] However, y _C ′=′cos (θ ₁ /2+θ ₂ ′) Points A and B are also corrected in the same way. Needless to say.

As described above, accurate roll alignment can be easily determined by simply determining the measured roll contact coordinates A′, B′, and C′ in a specific coordinate system and correcting these values using the initial value θ of the center angle between the rolls. .

As described above, according to the present invention, accurate roll alignment can be easily obtained without providing any special equipment, which is extremely useful for roll management.

Further, in this embodiment, for the sake of simplicity, the case where three rolls are measured has been described, but of course the case where four or more rolls are measured can be carried out in the same manner.

[Brief explanation of the drawing]

Figures 1 and 2 are a front view, a top view, and a third diagram showing an example of a measuring device used in the measuring method according to the present invention.
Figure a is a plan view showing the tilted state of the measuring instrument, Figure 3 b
3 is a graph showing the relationship between the gap sensor output and the measurement position detection device output, FIG.
The figure is an explanatory diagram showing the error in measured values due to the above-mentioned inclination, Fig. 5 is a perspective view showing the measured value envelope, Fig. 6 is a similar conceptual diagram, and Fig. 7 is an illustration of the case where there is an inclination of 0° and an inclination. Graph showing the relationship between envelopes, Figure 8 is a graph showing the initial contact coordinates measured by the measuring device, Figure 9 is a schematic diagram showing the movement of the roll, Figure 10 is a graph showing a specific coordinate system, Figure 11 is It is a graph showing tilt correction. 1... Measuring instrument, 2... Measurement position detection device, 3...
...R gauge, 4...gap sensor, 5...fixing device.

Claims (1)

[Claims] 1. A plurality of pairs of rolls are arranged at intervals so that their center axes are parallel to each other to form an arc-shaped roll cavity, and a transport direction measurement position detection device and a reference curvature of the arc are arranged. A gap sensor that moves along an R gauge of approximately the same curvature, and is movable and fixed within the roll cavity, is used to measure the gap in the radial direction connecting the center point of the arc and the roll contact point of the roll cavity. In a roll alignment measurement method that detects the amount by which each roll deviates from its normal position, the line center of the roll cavity is determined based on the outputs of a plurality of transport direction measurement position detection devices and a gap sensor, which are provided in the measuring device in the direction of the roll center axis. Geometrically find the inclination angle of the measuring instrument with respect to the line L ₀ , obtain the roll contact coordinates (x _i , y _i ) in the coordinate system determined from the R gauge, and calculate the roll contact coordinates (x _i , y _i ). The measuring device converts the measured values of the roll contact coordinates into a specific coordinate system whose reference axis is the perpendicular bisector of the line connecting the coordinates of the two roll contact points that are in contact with the measuring device, and uses the inclination angle to determine the center between the rolls. The initial angle value θ _i is corrected to determine the center angle θ _i ′ between the rolls at the time of inclination, and from this center angle θ _i ′, the roll contact coordinates (x _i ′, y _i ′) in the specific coordinate system are calculated. seek,
These roll contact coordinates (x _i ′, y _i ′) are transformed into roll contact coordinates (x _i ″, y _i ″) using the initial value of the center angle between rolls θ _i
A roll alignment measurement method characterized by correcting.