Device for Grinding Spinning Cots
The device has a rotating grinding surface and a receptacle into which a spinning cot to be ground is inserted. The receptacle is advanced in a direction toward the grinding surface until the spinning cot inserted into the receptacle contacts the grinding surface. A size determination device for determining the size of the spinning cot is provided, wherein the size determination device has distance sensors and a computing unit for deriving the size of the spinning cot. The distance sensors operate with measuring beams that have an orientation such that the measuring beams impinge on an outer peripheral surface of the spinning cot inserted into the receptacle on at least three points that are spaced apart from one another in a circumferential direction of the spinning cot.
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The invention concerns a device for grinding spinning cots, comprising:
-
- a rotating grinding surface,
- a receptacle into which the spinning cot to be ground is insertable, means for advancing the receptacle in a direction toward the grinding surface until contact is made between the grinding surface and the spinning cot inserted into the receptacle, and
- a device for determining the size of the spinning cot inserted into the receptacle, wherein this device is comprised of detection means for at least one geometric value, wherein this value is not the size of the spinning cot, and a computing unit for deriving the size of the spinning cot based on a measured geometric value detected by the detection means.
Such devices are used in connection with industrial processing of textile fibers. In spinning devices, the spinning cots perform the transport of the textile fibers. In this connection, the surfaces of the spinning cots that are usually made from plastic material are subject to great wear so that they must be frequently reground. The diameter of the spinning cots is sized from the start with oversize such that the cots can be reground several times by grinding devices configured for this purpose, wherein only a few tenths or hundredths of a millimeter are removed, respectively. After such a grinding treatment, the surface of the spinning cots is again exactly round and cylindrical.
For grinding a spinning cot, the spinning cot is fastened in the grinding machine on an automatically operating slide that advances the spinning cot by automatic control to the grinding surface of a grinding roller. Manipulation of the spinning cot to be reground is realized by means of a swivel arm that is provided with a receptacle for the axle of the spinning cot. The swivel arm with the spinning cot inserted therein is then advanced fully automatically against the grinding roller. For calculating the amount of removal the swivel arm is usually provided with an incremental encoder that detects the pivot angle and thus the movement of the swivel arm during the grinding process. For adjusting the zero point, the incremental point is detected that results upon pressing the cot against the grinding surface, i.e. upon first contact. Subsequently, the cot is ground wherein in practice two different methods are employed. According to the first method, all cots are ground to a predetermined diameter. According to a second method, they are all subjected to the same amount of removal and thus the same reduction of their diameter. The amount of removal is calculated based on the pivot angle difference that is detected by the incremental encoder. Since this is however an indirect measuring method, the measuring precision is determined by many influencing factors; in practice, this does not provide for a really precise calculation of the grinding result.
SUMMARY OF THE INVENTIONThe invention has the object to provide a device for grinding spinning cots that enables a more exact measurement of the cot geometry and that operates moreover substantially free of influencing factors that falsify the measured result.
As a solution to the object a device having the aforementioned features is proposed that is characterized by distance sensors operating with measuring beams and having an orientation such that the measuring beams impinge on the outer peripheral surface of a spinning cot inserted into a receptacle at least on three points that are spaced apart from one another in the circumferential direction of the spinning cot.
Such a device enables a direct measurement of the geometry of the respectively inserted spinning cot, i.e., of its diameter or radius. The device according to the invention operates therefore substantially free of influencing factors that falsify the measured result. By a direct detection of the surface of the respective spinning cot, the operation of the measuring unit is relatively insensitive with regard to possible dust deposits. Also, the hardness and the flexibility of the material of the cots to be ground and the state of their axles have hardly any effect on the measured result. A contribution to precision is moreover provided by the fact that the measuring system works completely contactless.
According to a preferred embodiment, the distance sensors operate with an orientation such that all measuring beams impinge on the outer peripheral surface of the spinning cots inserted into the receptacle at the same axial length of the spinning cot. In this way, measurement imprecisions are excluded that can occur in case of a slight axial displacement of the measuring beams.
A further embodiment is characterized by an orientation of the measuring beams such that at least one first measuring beam is directed to a point adjacent to the center axis of the spinning cot, and at least one additional measuring beam is also directed to a point adjacent to the center axis but onto the side facing away from the first measuring beam. This enables even more precise measured results.
According to one constructive embodiment of the device, the distance sensors are fastened to a common holder; this enables a very precise positioning of the sensors and thus an improvement of the measuring precision. Preferably, the holder is provided with positive locking elements onto which or in which the distance sensors are mounted. Additionally, a screw connection with the holder can be provided.
In another embodiment it is proposed that the distance sensors are rigidly connected to the receptacle, preferably embodied as a swivel arm, or the holder is rigidly connected to the receptacle. This enables measurement at any time during the inward and outward pivoting of the swivel arms because even then the spinning cot is within the detection range of the distance sensors. Already at the time of setting up or preparing the actual grinding process, a detection of the actual state of the spinning cot is possible. Under no circumstances is it possible that a play possibly present at the swivel arm can have an effect on the obtained measured result.
BRIEF DESCRIPTION OF THE DRAWINGSOne embodiment of the invention will be explained in the following with the aid of the drawings. It is shown in:
In
On the swivel arm 9 a holder 13 is fastened and on it, in turn, three distance sensors 15a, 15b, 15c are fastened. The measuring beams 17a, 17b and 17c of these distance sensors 15a, 15b, 15c are oriented toward the surface, i.e., the outer peripheral surface 18, of the spinning cot 5 to be ground on the grinding machine.
The distance sensors 15a, 15b, 15c are parts of a device for determining, i.e., calculating, the size of the spinning cot 5. This device is comprised of the distance sensors as well as a computing unit 19 connected to the signal outputs 16 of the distance sensors 15a, 15b, 15c. In the computing unit 19 the diameter of the spinning cot 5 is derived based on the three geometric values acquired by the three distance sensors. At the same time, the computing unit 19 controls the drive 20 of the slide 7 and optionally the pressing force F pressing on the swivel arm 9 so that it controls in this way the grinding process.
Details of the function of the distance sensors 15a, 15b, 15c will be explained in the following with the aid of
In
In
In the illustrated embodiment the holder 13, as shown especially in
In the following the radii/diameter determination by means of three points will be explained, including the mathematical derivation.
First the coordinate points must be set which will be explained in the following with the aid of
Laser P1:
x1=measured value P1*sin 70°+horizontal spacing P1
y1=measured value P1*cos 70°+vertical spacing P1
Laser P2:
x2=measured value P2
y2=vertical spacing P2
Laser P3:
x3=measured value P3*sin 70°+horizontal spacing P3
y3=vertical spacing P3−cos 70°*measured value P3
Based on the three determined reference points P1(x1|y1), P2(x2|y2), P3(x3|y3) on a circle, it is possible to determine by means of the general circle equation a closed equation for the radius of this circle (with the center M1(xm|ym)) in the following way:
All three predetermined points have relative to the center r by definition the same spacing r (the radius of the circle) that can be determined by means of the Pythagorean theorem:
r2=(x1−xm)2+(y1−y1−ym)2 I:
r2=(x2−xm)2+(y2−ym)2 II:
r2=(x3−xm)2+(y3−ym)2 III:
(x1−xm)2+(y1−ym)2=(x2−xm)2+(y2−ym)2 IV (I equated to II):
r2=(x2−xm)2+(y2−ym)2=(x3−xm)2+(y3−ym)2 V (II equated to III):
(x1−xm)2+(y1−ym)2=(x2−xm)2+(y2−ym)2
⇄
(x12−2x1xm+xm2)+(y12−2y1ym+ym2)=(x22−2x2xm+xm2)+(y22−2y2ym+ym2)
⇄
x12−2x1xm+xm2+y12−2y1ym+ym2=x22−2x2xm+xm2+y22−2y2ym+ym2
⇄
−2x1xm+xm2−(−2x2xm+xm2)=x22+y22−2y2ym+ym2−(x12−2y1ym+ym2)
⇄
−2x1xm+xm2+2x2xm−xm2=x22+y22−2y2ym+ym2−x12−y12+2y1ym−ym2
⇄
−2x1xm+2x2xm=x22+y22−2y2ym−x12−y12+2y1ym
⇄
(−2x1+2x2)·xm=x22y22−x12−y12+(2y1−2y2)·ym VI (based on IV, for xm the following results):
⇄
VII (in analogy, based on V the following results for xm):
VIII (when VI and VII are equated, the following results):
⇄(3. Binomial Equation)
IX (when, based on IV and V, ym is calculated and not xm respectively, the following results in analogy):
X (when they are equated (as VI and VII above), it follows in analogy):
XI (a closed equation for r results when xm and ym are used in I (or alternatively II or III):
Alternatively, a geometric approach is possible. In this case, the points P1, P2 and P3 are considered to be the corners of a triangle.
From geometry it is known that:
The perpendicular bisectors of a side of a triangle intersect at the center of the circumcircle of the triangle. The circumcircle of the triangle is exactly the circle on which all three corners are located.
It is thus sufficient to determine the point of intersection of two such perpendicular bisectors in order to determine the center of the circle on which P1, P2 and P3 are positioned.
In the following, the perpendicular bisectors A (on the line S1=
The perpendicular bisectors are straight lines. Each straight line is defined when one point on this straight line and its gradient are known.
The perpendicular bisectors A and B are positioned exactly on the center of the lines S1 and S2 and thus on the following coordinates:
Accordingly, for both perpendicular bisectors A and B the coordinates of one point each are already known.
The gradient of a straight line or a line results from Δy/Δx (that is: ,,height difference per width difference”).
For the lines S1 and S2 this is
The gradient of a perpendicular line (thus also of the two perpendicular bisectors of the side A and B to be determined) result always as the negative reciprocal value of the gradient of the straight line that is the origin so that the following applies:
For straight lines there is a so-called “standard form”:
G(x)=mx+b
For the perpendicular bisectors A and B, mA and mB are already available from the last calculation.
The so-called ,,y-axis section” b results from the gradient m and the coordinates of a point xp and yp by the following equation:
b=yp−m·xp,
thus for A and B:
bA=yA−mA·xA and bB=yB−mB·xB
From functional analysis it is known that:
The x-coordinate of the point of intersection of the perpendicular bisectors A and B is at:
The y-coordinate of the point of intersection thus is:
ym=mA·xm+bA
The radius of the circle then is:
r=√{square root over ((x1−xm)2+(y1−ym)2)}.
The specification incorporates by reference the entire disclosure of German priority document 10 2005 035 581.1 having a filing date of Jul. 29, 2005.
While specific embodiments of the invention have been shown and described in detail to illustrate the inventive principles, it will be understood that the invention may be embodied otherwise without departing from such principles.
Claims
1. A device for grinding spinning cots, the device comprising:
- a rotating grinding surface;
- a receptacle into which the spinning cot to be ground is insertable;
- means for advancing the receptacle in a direction toward the grinding surface until the spinning cot inserted into the receptacle contacts the grinding surface;
- a size determination device for determining a size of the spinning cot inserted into the receptacle, wherein the size determination device comprises distance sensors and a computing unit for deriving the size of the spinning cot based on at least one geometric value acquired by the distance sensors;
- wherein the distance sensors operate with measuring beams that have an orientation such that the measuring beams impinge on at least a first point, a second point, and a third point of an outer peripheral surface of the spinning cot inserted into the receptacle, wherein the first, second, and third points are spaced apart from one another in a circumferential direction of the spinning cot.
2. The device according to claim 1, wherein the orientation of the measuring beams is such that all of the measuring beams impinge at a same axial length of the spinning cot on the outer peripheral surface of the spinning cot.
3. The device according to claim 1, wherein the orientation of the measuring beams is such that at least a first one of the measuring beams is directed to the first point that is adjacent to a center axis of the spinning cot and at least a second one of the measuring beams is directed to the second point that is also adjacent to the center axis but on a side facing away from the first one of the measuring beams.
4. The device according to claim 3, wherein the measuring beams are not parallel to one another.
5. The device according to claim 1, further comprising a common holder, wherein the distance sensors are fastened to the common holder.
6. The device according to claim 5, wherein the common holder has positive locking elements on which or in which the distance sensors are mounted.
7. The device according to claim 6, wherein the distance sensors are additionally screwed onto the common holder.
8. The device according to claim 6, wherein the common holder is rigidly connected to the receptacle.
9. The device according to claim 1, wherein the distance sensors are rigidly connected to the receptacle.
10. The device according to claim 1, wherein the distance sensors operate by triangulation.
11. The device according to claim 10, wherein the distance sensors are laser distance sensors.
12. The device according to claim 1, comprising a compressed air device for cleaning the distance sensors and the spinning cot.
Type: Application
Filed: Jun 29, 2006
Publication Date: Feb 22, 2007
Applicant: ROSINK GMBH + CO. KG MASCHINENFABRIK (Nordhorn)
Inventor: Udo Stentenbach (Nordhorn)
Application Number: 11/427,346
International Classification: B24B 51/00 (20060101); B24B 7/00 (20060101);