US3081961A

US3081961A - Tension control device

Info

Publication number: US3081961A
Application number: US62153A
Authority: US
Inventors: Martin W Kron
Original assignee: Eastman Kodak Co
Current assignee: Eastman Kodak Co
Priority date: 1960-10-12
Filing date: 1960-10-12
Publication date: 1963-03-19
Anticipated expiration: 1980-03-19

Description

'March 19, 1963 M. W. KRON TENSION CONTROL DEVICE Filed Oct. 12, 1960 WEB Stockral/ speed lac/Inmate! generator Fig.

4 SheetwSheet 1 Web speed tachometer gene/afar STOCKROLL 77401104157277 INDICATOR,

GENERATORS 3/ or 3/0 AMPLIFIER STOC/(ROLL- l2 8 BRAKE- 30 MAI-7 T/N W K/iO/V IN VEN TOR.

AT TORNE Y3 March 19, 1963 M. w. KRON 3,081,961

TENSION CONTROL DEVICE Filed Oct. 12, 1960 4 Sheets-Sheet 2 From web speed tachometer gen. 22

F b d 3 3, 9- 4 my?" T ralio lhdicolor 3/ Froin sIoc/rro/l speed I: manometer gen. 23 From who spud tachometer gen. 23

40 (photocell) gyro?! of 33 M2 621) I E0 (phd cell) 6', 4/

./.2'.. w a sores/02% .9 I Fi 7 MART/N W KRON 45 INVENTOR.

4 I BY 7?? M.

1/ ATTORNEYS March 19, 1963 M. w. KRON 1 3,081,961

TENSION CONTROL DEVICE Filed Oct. 12. 1960 4 Sheets-Sheet 3 p v 4 (photocell) 0 Volts 8 o 47 (photo- 1 cell) O p '0'. 'Qv 1 4% 33 (shaft of ratio mdicotor) w MART/N 1% KRON INVENTOR.

BY RMW fink/M ATTORNEYS March 19, 1963 M. w. KRON TENSION CONTROL DEVICE 4 Sheets$heet- 4 Filed Oct. 12, 1960 Ratio indicator 3/ or 3/0 From Web Speed Tachometer Gen. 22

o Tachometer From Stockrol/ .gpeed Q en 23 40 (photocell) 33 (shaft of ratio indicator) F l'g. l2

MART/N W KRON mmvron.

BY 19444-404 SW21 Kudzu/ 61 Actuate:

Switches

75, 76, and 7 7 Actuate:

Switches

82, 83, and 84 ATTORNEYS United States Patent 3,081,961 TENSION CONTROL DEVICE Martin W. Kron, Rochester, N.Y., assignor to Eastman Kodak Company, Rochester, N.Y., a corporation of New Jersey Filed Oct. 12, 1960, Ser. No. 62,153 12 Claims. (Cl. 242-75.47)

The present invention relates to the art of web winding and unwinding and more particularly concerns an improved method and apparatus for controlling web tension.

In controlling the tension of a web of material being unwound from a stockroll, the radius of the stockroll must be considered, because with a given braking torque on the stockroll the unwind tension is inversely related to the stockroll radius. In one prior art method of controlling the unwind web tension, the actual web tension is measured, for example by means of a dancer roll cooperating with the web. The tension measurement is converted into a first signal, which is compared to a reference signal to generate an error signal; the error signal is then fed back to a stockroll brake. Although the dancer roll method provides accurate tension control, it requires an expensive device for directly measuring web tension and it generally requires the use of one or more rollers in addition to the usual guide or idling rollers in contact with the web. Delicate webs such as those carrying photographic emulsions tend to be damaged by contact with rollers of any but the most expensive kinds; therefore, the use of rollers must be minimized in any winding 0r unwinding apparatus for such webs. Further more, the dancer roll method appears to be inapplicable to apparatus for slitting webs, because no practical means is known for directly measuring the unwind web tension on slitters.

In a second prior art method of controlling Web tension, the stockroll brake torque is controlled in propon tion to the stockroll radius, with or without direct feedback. In employing this second method a difficulty lies in measuring the stockroll radius. :For this purpose, an additional roller riding on the stockroll is objectionable in most cases because it might damage the web and tends to interfere with loading and unloading the stockroll stand. In accordance with the present invention the stockroll radius is computed from two input signal representing linear web speed and angular stockroll speed, respectively. Computation is done by means of a tachometer generator and an arrangement of photocells used as a ratio indicator whose output is proportional to the ratio of the two input signals and thus proportional to stockroll radius. This output is employed to control brake torque on the stockroll for conditions of substantially constant web speed. During constant acceleration or deceleration of the stockroll the ratio indicator also is employed to generate a second signal proportional to the third power of the stockroll radius and a third signal inversely proportional to the stockroll radius, which signals are applied to the stockroll brake to compensate for stockroll inertia and inertia of the brake drive elements.

In a preferred embodiment the above mentioned ratio indicator rotates one or more shaped masks that are positioned between a light source and a system of photoelectric detectors. The outputs from the detectors constitute the three control signals for the brake.

It is therefore a principal object of the invention to control the unwind tension of a Web by means of apparatus that requires no additional contact with the web.

Another object of the invention is to maintain the tension of a web substantially constant during constantspeed movement of the web and during constant-rate acceleration or deceleration thereof.

ice

A further object of the invention is to employ a tachometer generator and an arrangement of photocells as a ratio indicator to generate a signal that is a function of the stockroll radius.

Other objects of the invention are:

To generate a signal representing the inverse of the stockroll radius;

To generate a signal representing the third power of the stockroll radius;

To compensate for stockroll inertia during constantrate acceleration or deceleration of an unwinding web;

To compensate for brake-system inertia during acceleration or deceleration of an unwinding web; and

To employ a system of photoelectric detectors in conjunction with a light source and a web-controlled mask for generating a signal that is a predetermined function of stockroll radius.

Other objects of the invention will appear from the following description, reference being made to the accompanying drawings, wherein:

FIG. 1 is a perspective view of a winding and unwinding apparatus in which the present invention may be employed;

FIG. 2 is a schematic flow diagram of the tension control system for constant web speed, according to the invention;

FIG. 3 illustrates one form of a ratio indicator;

FIG. 4 illustrates a second form of ratio indicator;

FIG. 5 is a front view of an arrangement of mask and photoelectric detectors employed for generating a signal representing stockroll radius;

FIG. 6 is a schematicview of the photoelectric detectors of FIG. 5, illustrating the signal generated therey;

FIG. 7 is a chart showing the derivation of a masking outline for a detector employed to generate a signal representing the third power of stockroll radius;

FIG. 8 is a front view of an arrangement of mask and photoelectric cells employed for generating a signal representing the third power of stockroll radius;

FIG. 9 is .a front view of an arrangement of mask and photoelectric cells employed for generating a signal representing the inverse of stockroll radius;

FIG. 10 is a front view of a composite arrangement of the masks and photoelectric detectors shown in FIGS. 5, 7 and 8;

FIG. 11 is a schematic Wiring diagram of the overall tension control system; and

FIG. 1 2 is a schematic side view of a typical light source and detector according to the invention.

Constant Web Speed Referring to FIGS. 1 and 2, the latter of which illustrates the basic tension control system for constant web speed, a web 10 is unwound from a stockroll 12 mounted on a shaft 14, which rotates with the stockroll. An electrically controlled brake 30 provides and controls web tension. The web is guided in any desired manner by idler rollers represented in general by a roller "18 shown in :FIG. 1. This roller is mounted on a shaft 20, which is rotated with roller 18. The web is collected on a windup roller 24, which is driven through a shaft 26 by an electric motor 28. The brake 30 has an output torque that is independent of the speed of shaft 14, but can be controlled by controlling the cur-rent in the brake winding. The 'Magnebrake manufactured by Vickers Corporation is an example of a brake having the above characteristic-s.

The tension control system according to the invention uses a ratio indicator whose output is proportional to the ratio of two inputs. When these inputs are proportional to web speed V and rotational stockroll speed 11,, the

i output R indicates the stockroll radius in accordance with the following equation:

Equation 1 holds true for any unwinding speed within the capability of the system elements. The output of the ratio indicator is amplified and converted by linear elements into a stockroll brake torque directly proportional to the stockroll radius, the prerequisite for constant unwind tension at a constant web speed. In FIG. 2,

C C :Constants T stockroll brake torque F :Web tension A first direct current tachometer generator 22. may be driven by shaft 20 of idler roller 18, as shown in FIG. 1, and generates a direct current output whose magnitude is proportional to web speed V A second tachometer generator 23 is driven by the stockroll shaft 14 and gencrates a direct current signal whose magnitude is proportional to the angular stockroll speed H The DC. tachometer generators may be of any well known type, for example Elinco No. 183.

The

ratio indicator

31 or 31a (FIGS. 3 and 4) comprises a permanent magnet 32 or 320 and two crossed

coils

34 and 36 forming the angles p and q with the axis of the permanent magnet. Either the magnet or the two coils may be pivoted. FIG. 3 shows the magnet 32 as pivoted about a shaft 33 inside the coils; FIG. 4 shows the coils pivoted together between the arms of an external magnet 32a. The

coils

34 and 36 receive currents I and I from the respective generators 22 and 23 (FIG. 1) and, interacting with the permanent magnet field, exert the torques T and T on the pivoting member or members.

Taking p+q=;3, the balanced instrument position results as:

where K and K are constants. Therefore the instrument indicates the ratio I over I as a tangent function of the angle p. Since I and I are proportional to web speed V and rotational stockroll speed 11 respectively, the instrument indicates the stockroll radius R as:

R mmlf +l q tan 1) (I) where C C K and K are constants.

A standard two phase, two pole A.C. tachometer generator with a permanent magnet rotor may be used as a ratio indicator. The coils are displaced by an angle p=p+q=90. With cos 3:0, K and K are 0. With sin [3:1, K is 1. The rotor shaft then indicates the stockroll radius as R =K tan p (8) K tan p has to be transformed into an electrical output signal. The torque available in the final position of shaft 33 of

ratio indicator

31 or 31a is substantially Zero and is not capable of moving an electro-mechanical element such as a potentiometer or variable linear differential transformer. A photoelectric transducer is employed instead.

Referring to FIG. 5, two long, narrow photocells 40 A and 41 are placed tangential to a circle of radius R concentric with the indicator shaft 33. The cells are illuminated by a light source 56 (FIG. 12) and are partially covered by a disk 42, which is partly opaque and partly transparent and is fastened to the shaft 33 for angular movement therewith. With the two cells connected in series by a lead 44 and an input voltage E applied to their remote ends (see also FIG. 6) an output signal E proportional to tan p is obtained off the center connection.

E =Input voltage to photocells E =Output voltage off center connection of photocells r =Dark resistance per unit length of photocell r =Light resistance per unit length of photocell L =Length of photocell w=Width of photocell R =Radius of circle to which both photocells are tangent and if w is negligible realtive to R the following equation can be written according to FIG. 6:

R. tan p= The output E of the

photocells

40 and 41 is amplified and applied to the stockroll brake 30 (FIG. 1) as hereinafter described.

Acceleration and Deceleration The brake torque required on the stockroll shaft to hold the unwind web tension constant during changes in web speed is given by the equation T=FR -J a a 14 where T=Stockroll brake torque F =Unwind web tension (force) J =Moment of inertia of stockroll ct' =AI1glllar acceleration of the stockroll, and is negative during deceleration .l Mornent of inertia of the stockroll brake drive elements a =Angular acceleration of stockroll brake drive elements, and is negative during deceleration such as gears, shafts, rotating brake member, etc., are referred to the stockroll shaft we obtain:

Furthermore, a can be expressed as:

where a=rate of acceleration of the Web.

The compensating torques J ot and Ida: are then expressed as functions of R by Equations 17 and 18.

where K is a constant.

Substituting

Equations

17, 18, 19 and 20 in Equation 14, thelatter becomes:

T=FR. F KSRSJF 141% s The ratio indicator 31 (FIG. 3) combined with a photoelectric detector (FIG. 5), described above, has an output proportional to R E r. '(rD L)R.Ri= r n-Hm D'l L) e 4 In order to obtain the desired additional functions, the

same basic system of detecting R is' used, but the radius R is changed from a constant to a variable radius R ts= 1o tanz p where K is a constant. Thisresults inz V os L D L) 1o R3 (24) E S TD+ L D-Hind 4) where E =Input voltage to photocell detector for compensating stockroll inertia.

E =Output voltage at center connection of photocell detector.

The physical arrangement of the photocells according to Equation 23 results in a large number of photocells arranged in a curved pattern and a straight dividing line of opaque and transparent sections of a mask, as illustrated in the chart of FIG. 7. If the photocells are turned clockwise to the 45 line and the corresponding points on the mask dividing line are turned through the same angle, an arrangement, illustrated in FIG. 8, results with two

straight photocells

46 and 47 and a disk 48 having a curved, generally cyma-shaped line separating its transparent zone from its opaque zone according to Equation 24. In this embodiment the variable radius R is the distance from the axis of shaft 33 to the intersection of the disk 48 with the

photocells

46 or 47.

To compensate for inertia of the brake drive elements one of the detectors must have an output proportional to i s The output of the detector shown in FIG. 5 is propor tional to (Equation 8), the inverse of what is required. If the cotangent is measured instead, we obtain the desired output.

1 .E cot, pp- (25) The detector transfer function is then:

E2 L D- L) ce 4 id D+ L L+ D O B where E =Input voltage to photocell detector for compensating brake drive inertia.

E =Output at center connection of photocell detector.

R =Radius of circle to which photocells are cotangent.

An arrangement of two

photocells

50 and 51 and a partially transparent disk '52 with the corresponding borderline, according to Equation 26, is shown in FIG. 9.

The three previously described detectors, shown in FIGS. 5, 8 and 9, may be combined so that they employ only one partially transparent disk and one light source. This arrangement of the six photocells and a disk 55, which is fastened to shaft 33, is shown in FIG. 10.

The single light source 56 is provided to illuminate all photocells and is placed a few inches in front of the center of disk 55, as shown in FIG. 12. A difi'user 57 may be interposed between the light source 56 and disk 55, which is fastened to shaft 33.

The output voltages of the three photocell detectors are:

i id

FIG. 11 shows a schematic electrical Wiring diagram of the overall system for solving Equations 30. The three input voltages E B and E are taken from respective potentiometers '60, 61 and 62 connected to independent voltage supplies, 63, 64 and 65. The voltages are taken from

respective voltage dividers

66, 67 and 68 across the inputs and are subtracted from the outputs of the corresponding pairs of photocells. The output E is fed through an amplifier 70, shown as a cathode follower amplifier with output 71, and through additional amplifiers if required to the winding of the stockroll brake 30 (FIG. 1). The outputs E and B (FIG. 11) are either subtracted from (during acceleration) or added to (during deceleration) the signal E This addition or subtraction is accomplished under the control of two

relays

73 and 74, energized during acceleration periods and during deceleration periods, respectively, as described below. The compensated output signal c oi osi od is fed to the previously described amplifier 70 and after sufiicient'amplification to the brake 30 (FIG. 1).

During acceleration, relay 73 (FIG. 11) is operated and closes two pairs of

contacts

75 and 76 and opens a pair of contacts 77. The compensated output circuit, starting from ground, extends through contacts 75, a lead 78, the

detector comprising photocells

46 and 47, a lead 79, the

detector comprising photocells

50 and 51, a lead 80, contacts 76, a lead 31, the

detector comprising photocells

40 and 41, and amplifier 70 to output 71. The polarity of the bottom two detectors in FIG. 11 is such that through the above circuit the outputs E and E are subtracted from E During deceleration, relay 74 is operated and closes two pairs of

contacts

82 and 83 and opens a pair of contacts 84. The compensated output circuit from ground extends through contacts 82, lead 80, the

detector comprising photocells

50 and 51, lead 79, the

detector comprising photocells

46 and 47, lead 78, contacts 83, lead 81, the

detector comprising photocells

40 and 41, and amplifier 70 to terminal 71. It will be seen that the direction of current flow through the bottom two detectors of FIG. 11 is reversed to that during acceleration, so that E and B are added to, rather than subtracted from,

During constant speed operation, neither of the

relays

73 and 74 is operated; therefore,

contacts

75, 76, 82

and 83 are all open, but

contacts

77 and 84 are both closed. The latter two contacts are in series with each other and with a variable resistor 85. When

contacts

77 and 84 are both closed they ground lead 81, which is one of the output leads of the

detector comprising photocells

40 and 41; therefore only the output E is fed directly to the amplifier 70. The bottom two detectors of FIG. 11 are disconnected from the amplifier by the

contacts

75 and 76 or by

contacts

82 and 83. During acceleration or deceleration, either contacts 77 or contacts 84 are open, thereby interrupting the direct connection of E to the amplifier 70.

The invention has been described in detail with particular reference to preferred embodiments thereof, but it will be understood that variations and modification can be effected within the spirit and scope of the invention as described hereinabove and as defined in the appended claims.

I claim: a

1. Apparatus for controlling the tension of a web of material being unwound from a stockroll, comprising in combination: first sensing means for sensing the linear web speed; first generating means controlled by said first sensing means for generating a first signal proportional to linear web speed; second sensing means for sensing the angular stockroll speed; second generating means controlled by said second sensing means for generating a second signal proportional to the angular stockroll speed; third generating means coupled to said first and second generating mean for generating a third signal which is a function of the ratio of said first and second signals and therefore a function of the instantaneous radius of said stockroll; braking means coupled to said stockroll for applying a braking torque to said stockroll in proportion to the energization of said braking means; and means interconnecting said third generating means and said braking means for energizing said braking means as a function of the magnitude of said third signal.

2. The apparatus defined in claim 1, wherein said third generating means comprises: a ratio-responsive device having inputs from said first and second generators and having a movable member angularly positioned about an axis as a function of the ratio of said first and second signals; a photoelectric detector having an output connected to said braking means; and a mask connected to said movable member and angularly positioned therewith about said axis, said mask having a path of movement between a light source and said detector for variably shielding said detector from said light source, whereby said brake is variably energized by said detector as a function of the ratio of the magnitudes of said first and second signals.

3. The apparatus defined in claim 2, wherein said detector comprises a pair of elongated photoelectric cells electrically connected in series with each other, with a source of electrical energy and with said braking means, said cells being disposed substantially parallel to each other and to a plane normal to the axis of angular move ment of said mask, said cells being further disposed sym metrically about said axis in mutually ofiset relation, said mask comprising an opaque member having a substantially straight edge passing through said axis, whereby said detector energizes said braking means substantially in proportion to the instantaneous stockroll radius.

4. The apparatus defined in claim 2, wherein said detector comprises a pair of elongated photoelectric cells electrically connected in series with each other, with a source of electrical energy and with said braking means, said cells being disposed substantially parallel to each other and to a plane normal to the axis of angular movement of said mask, said cells being further disposed symmetrically about said axis and in a plane containing said axis, said mask comprising an opaque member having a cyma-shaped edge passing through said axis, whereby said detector energizes said braking means substantially in proportion to the cube of the instantaneous stockroll radius.

5. The apparatus defined in claim 2, wherein said detector comprises a pair of elongated photoelectric cells electrically connected in series with each other, with a source of electrical energy and with said braking means, said cells being disposed substantially parallel to each other and to a plane normal to the axis of angular movement of said mask, said cells being further disposed symmetrically about said axis in mutually oifset relation, said mask comprising an opaque member having a substantially straight edge passing through said axis, whereby said detector energizes said braking means substantially in inverse proportion to the instantaneous stockroll radius.

6. Apparatus for controlling the tension of a web of material being unwound from a rotating stockroll, comprising in combination: an idler roller for said Web; a shaft supporting said stockroll and adapted to rotate therewith; first and second generators driven by said idler roller and said stockroll shaft, respectively, for generating first and second signals proportional, respectively, to

linear web speed and to angular stockroll speed; a ratioresponsive device having respective inputs from said first and second generators and generating a third signal as a function of the ratio of said first and second signals; a brake coupled to said stockroll shaft and connected to said ratio-responsive device for receiving said third signal and for applying a braking torque to said stockroll shaft in proportion to the magnitude of said third signal.

7. Apparatus for controlling the tension of a web of material being unwound from a stockroll, comprising in combination: first generating means for generating a first signal proportional to the instantaneous stockroll radius; second generating means for generating a second signal proportional to the cube of the instantaneous stockroll radius; a brake coupled to said stockroll for applying a braking torque thereto in proportion to the energization of said brake; means connecting said first generating means to said brake for constantly energizing the latter in proportion to the magnitude of said first signal; and means operable during a change of angular stockroll speed for combining said second signal with said first signal, whereby said brake is energized as a joint func tion of the magnitudes of said first and second signals.

8. Apparatus for controlling the tension of a web of material being unwound from a stockroll, comprising in combination: first generating means for generating a first signal proportional to the instantaneous stockroll radius; second generating means for generating a second signal proportional to the cube of the instantaneous stockroll radius; third generating means for generating a signal inversely proportional to the instantaneous stockroll radius; a brake coupled to said stockroll for applying a braking torque thereto in proportion to the energization of said brake; means connecting said first generating means to said brake for constantly energizing the latter in proportion to the magnitude of said first signal; and means operable during a change of angular stockroll speed for combining said second and third signals with said 'first signal, whereby said brake is energized as a joint function of the magnitudes of said first, second and third signals.

9. The method of controlling tension in a web of material being unwound from a stockroll, comprising: applying to said stockroll a primary braking torque when said web is moving at substantially constant speed, said primary braking torque being proportional to the instantaneous stockroll radius; and reducing said primary braking torque by an increment when said web is accelerating, said increment being proportional to the cube of the instantaneous stockroll radius.

10. The method defined in claim 9, with the additional step of increasing said primary braking torque by said increment when said web is decelerating.

11. The method of controlling tension in a web of material being unwound from a stockroll, comprising: applying a primary braking torque to said stockroll when said web is moving at substantially constant speed, said primary braking torque being proportional to the instantaneous stockroll radius; and reducing said primary brak ing torque by first and second increments when said web is accelerating, said first increment being proportional to the cube of instantaneous stockroll radius, said second increment being inversely proportional to stockroll radius.

12. The method defined in claim 11, with the additional step of increasing said primary braking torque by said first and second increments when said web is decelerating.

References Cited in the file of this patent UNITED STATES PATENTS 1,964,874 Fankboner July 3, 1934 2,485,757 Michel Oct. 25, 1949 2,902,232 Jacobsen Sept. 1, 1959 FOREIGN PATENTS 219,482 Australia Oct. 18, 1956

Claims

1. APPARATUS FOR CONTROLLING THE TENSION OF A WEB OF MATERIAL BEING UNWOUND FROM A STOCKROLL, COMPRISING IN COMBINATION: FIRST SENSING MEANS FOR SENSING THE LINEAR WEB SPEED; FIRST GENERATING MEANS CONTROLLED BY SAID FIRST SENSING MEANS FOR GENERATING A FIRST SIGNAL PROPORTIONAL TO LINEAR WEB SPEED; SECOND SENSING MEANS FOR SENSING THE ANGULAR STOCKROLL SPEED; SECOND GENERATING MEANS CONTROLLED BY SAID SECOND SENSING MEANS FOR GENERATING A SECOND SIGNAL PROPORTIONAL TO THE ANGULAR STOCKROLL SPEED; THIRD GENERATING MEANS COUPLED TO SAID FIRST AND SECOND GENERATING MEANS FOR GENERATING A THIRD SIGNAL WHICH IS A FUNCTION OF THE RATIO OF SAID FIRST AND SECOND SIGNALS AND THEREFORE A FUNCTION OF THE INSTANTANEOUS RADIUS OF SAID STOCKROLL; BRAKING MEANS COUPLED TO SAID STOCKROLL FOR APPLYING A BRAKING TORQUE TO SAID STOCKROLL