Method and apparatus for transferring a tape by spooling
Abstract
A method and apparatus for transferring a tape by spooling is disclosed. A tape is transferred by spooling from a first, unwinding spool onto a second, winding spool, both spools being driven via a drive as a function of a predefined tape tension and/or a predefined tape setpoint speed at a setpoint rotational speed and/or with a setpoint torque. The respective setpoint rotational speed and/or the respective setpoint torque being determined as a function of a geometrical mean of the winding circumferences of the two spools. The geometrical mean of the winding circumferences of the two spools is determined continuously during transfer by spooling.
Claims
exact text as granted — not AI-modified1 . A method for transferring a tape by spooling from a first, unwinding spool ( 11 ) onto a second, winding spool ( 13 ), wherein both spools are driven via a respective drive as a function of a predefined tape tension and/or a predefined tape setpoint speed at a setpoint rotational speed and/or with a setpoint torque, and the respective setpoint rotational speed and/or the respective setpoint torque being determined as a function of a geometrical mean (UMG) of a winding circumference of each of the two spools, wherein the geometrical mean (UMG) of the winding circumferences of the two spools is determined continuously during transfer by spooling.
2 . The method according to claim 1 , wherein, in order to determine the geometrical mean (UMG) of the winding circumferences of the two spools, a starting radius (r 13, START ) of the winding spool is predefined and/or measured, and wherein actual rotational speeds (N 11 , N 13 ) of the two spools ( 11 , 13 ) are measured, and wherein the geometrical mean (UMG) of the winding circumferences of the two spools ( 11 , 13 ) is calculated using the following equations:
U
11
=
∫
t
0
t
N
11
(
t
)
ⅆ
t
;
U
13
=
∫
t
0
t
N
13
(
t
)
ⅆ
t
;
xwa
=
N
13
(
t
)
N
11
(
t
)
;
UMG
=
2
*
π
*
r
13
,
START
*
(
U
13
2
+
U
11
2
)
*
xwa
2
+
1
(
U
11
2
-
U
13
2
+
2
*
xwa
*
U
11
*
U
13
)
2
.
3 . The method according to claim 1 , wherein, in order to determine the geometrical mean (UMG) of the winding circumferences of the two spools ( 11 , 13 ), a starting radius (r 11, START ) of the unwinding spool ( 11 ) is predefined and/or measured, and wherein actual rotational speeds (N 11 , N 13 ) of the two spools ( 11 , 13 ) are measured, and wherein the geometrical mean (UMG) of the winding circumferences of the two spools ( 11 , 13 ) is calculated using the following equations:
U
11
=
∫
t
0
t
N
11
(
t
)
ⅆ
t
;
U
13
=
∫
t
0
t
N
13
(
t
)
ⅆ
t
;
xwa
=
N
13
(
t
)
N
11
(
t
)
;
UMG
=
2
*
π
*
r
11
,
START
*
(
U
13
2
+
U
11
2
)
*
xwa
2
+
1
(
U
11
2
-
U
13
2
+
2
*
xwa
*
U
11
*
U
13
)
2
.
4 . The method according to claim 2 , wherein the starting radius (r 13, START ) of the winding spool ( 13 ) is predefined.
5 . The method according to claim 3 , wherein the starting radius (r 11, START ) of the unwinding spool ( 11 ) is predefined.
6 . The method according to claim 2 , wherein a tape speed (V BAND ) is measured in order to measure the starting radius (r 13, START ) of the winding spool ( 13 ), and wherein the starting radius (r 13, START ) is calculated using the following equation:
r
13
,
START
=
v
BAND
*
(
N
11
*
(
U
11
2
-
U
13
2
)
+
2
*
U
11
*
U
13
*
N
13
)
2
*
π
*
N
11
*
N
13
*
(
U
11
2
+
U
13
2
)
.
7 . The method according to claim 5 , wherein a rotational speed (N 23 ) of a tape-guiding roller ( 23 ) is measured in order to measure a tape speed (V BAND ), and wherein the tape speed (V BAND ) is calculated, with specification of a radius (r 23 ) of the tape-guiding roller ( 23 ), using the following equation:
ν BAND =2 *π*N 23 *r 23 .
8 . The method according to claim 2 , wherein a tape length (L BAND ) which has been transferred by spooling since a start of a transfer is measured in order to measure the starting radius (r 13, START ) of the winding spool ( 13 ), and wherein the starting radius (r 13, START ) is calculated using the following equation:
r
13
,
START
=
L
BAND
*
U
11
2
-
U
13
2
+
2
*
xwa
*
U
11
*
U
13
2
*
π
*
U
11
*
U
13
*
(
U
11
+
U
13
*
xwa
)
.
9 . The method according to claim 7 , wherein the rotational speed (N 23 ) of the tape-guiding roller ( 23 ) is measured in order to measure a tape length (L BAND ) which has been transferred by spooling since a start of a transfer, and wherein the tape length (L BAND ) which has been transferred by spooling is calculated, with specification of the radius (r 23 ) of the tape-guiding roller ( 23 ), using the following equation:
L
BAND
=
∫
t
0
t
v
BAND
(
t
)
ⅆ
t
=
2
*
π
*
r
23
*
∫
t
0
t
N
23
(
t
)
ⅆ
t
.
10 . The method according to claim 1 , wherein the setpoint rotational speeds (N SOLL ) of the spools ( 11 , 13 ) are calculated from the predefined tape setpoint speed (V BAND, SOLL ) using the following equation:
N
SOLL
=
v
BAND
,
SOLL
UMG
*
1
+
xwa
2
.
11 . The method according to claim 1 , wherein the setpoint torques (M SOLL ) of the spools ( 11 , 13 ) are calculated from the predefined tape tension (F BAND, SOLL ) using the following equation:
M
SOLL
=
F
BAND
,
SOLL
*
UMG
2
*
π
*
1
+
(
1
xwa
)
2
.
12 . The method according to claim 1 , wherein a changing speed of rotational-speed ratios of the two spools ( 11 , 13 ) is determined as follows:
dxwa
dt
=
2
*
(
N
11
2
+
N
13
2
)
*
(
U
11
*
N
13
-
U
13
≠
N
11
)
N
11
2
*
(
U
11
2
+
U
13
2
)
.
13 . An apparatus for transferring a tape by spooling from a first, unwinding spool ( 11 ) onto a second, winding spool ( 13 ), comprising a control or regulating device for carrying out the method according to claim 1 .
14 . A method for transferring a tape by spooling from a first, unwinding spool onto a second, winding spool, comprising the steps of:
driving the first and second spools by first and second drives, respectively, at a respective setpoint value, wherein the first and second spools have a respective winding circumference during a transfer process; wherein the respective setpoint value for each spool is determined as a function of a geometrical mean of the winding circumferences and wherein the geometrical mean is determined continuously during the transfer process.
15 . The method according to claim 14 , wherein the setpoint value is a rotational speed.
16 . The method according to claim 14 , wherein the setpoint value is a torque.
17 . An apparatus for transferring a tape, comprising:
a first unwinding spool having a continuously changing tape winding circumference during a tape transfer process; a second winding spool having a continuously changing tape winding circumference during the tape transfer process; and a control device coupled to the first and second spools; wherein the control device provides a respective setpoint value to the first and second spools for driving the first and second spools during the tape transfer process and wherein the respective setpoint value for each spool is determined by the control device as a function of a geometrical mean of the tape winding circumferences of the first and second spools, and further wherein the geometrical mean is determined continuously during the transfer process.
18 . The apparatus according to claim 17 , wherein the setpoint value is a rotational speed.
19 . The apparatus according to claim 17 , wherein the setpoint value is a torque.
20 . The apparatus according to claim 17 , wherein the respective setpoint values are a function of a predefined tape setpoint value.Join the waitlist — get patent alerts
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