CN103723548A - Convex-curve-based printer winding tension control method - Google Patents

Abstract

The invention discloses a convex-curve-based printer winding tension control method. The method includes when a printer winds, performing tension control according the following function: (img file=' DDA0000439730060000011. TIF' wi=' 376' he=' 128' /) (/maths), wherein F refers to taper tension during winding, D refers to taper diameter during winding, K refers to coefficient of curvature of a curve, actual application range of K is 100-900000, and alpha and beta are constants. By the method, the problem of high rejection rate caused by crumpling of a winding core in the process of winding in an existing tension control method is solved, and winding tension accuracy and finished product rate are effectively improved.

Description

Printer rolling tension control process based on convex curve

Technical field

The invention belongs to printing machinery and control technology field, relate to a kind of printer rolling tension control process based on convex curve.

Background technology

The rolling taper tension of existing unit type press is mainly to take the straight-line decline of linear function as main.Linear tension tapering is controlled in principle more stable, the value of tension force reduces with the increase of take-up diameter, for this tapering of printing product of some normal process, control and can meet printing requirement, but the printing product requiring for some special process is controlled or some deficiency with linear this tension taper degree, such as there will be the problems such as volume heart wrinkle.

The nonlinear Control that relates to winding tension in prior art < < nonlinear rolling tension control process > >, but the existing rate of decay that is controlled at coil diameter winding tension in the scope of 200mm-450mm is too fast, and the rate of decay is too slow within the scope of 450mm-800mm coil diameter, can cause the scope internal tension of volume heart 200mm-450mm too little to the large material of deformation quantity like this, and too large at 450mm-800mm coil diameter scope internal tension, cause like this " cabbage heart " phenomenon.

In order further to improve the precision that winding tension tapering is controlled, reduce the reject rate that volume heart wrinkle and " cabbage heart " cause, we have proposed winding tension convex curve and have controlled.

Summary of the invention

The object of this invention is to provide a kind of printer rolling tension control process based on convex curve, solved existing tension control method and can make to roll up the high problem of reject rate that heart Zou causes in wrapup procedure, effectively improved precision and the yield rate of winding tension.

The technical solution adopted in the present invention is, the printer rolling tension control process based on convex curve,

When printer rolling according to carrying out tension force control with minor function:

$F=\mathrm{\&beta;}+\frac{K}{(D-\mathrm{\&alpha;})},$

Taper tension when wherein, F is rolling; Tapering diameter when D is rolling; K is the coefficient of curvature of curve, and practical ranges is 100-900000; α and β are constant.

Feature of the present invention is also,

Constant alpha and β be the initial parameters during according to rolling and finish parameter and determine, concrete definite method is:

By tapering initial diameter D ₀with the initial tension force F of tapering ₀substitution

in,

Obtain, $F_0-\mathrm{\&beta;}=\frac{K}{(D_0-\mathrm{\&alpha;})}---\left(1\right)$

Tapering is finished to diameter D _efinish tension force F with tapering _esubstitution

in,

Obtain, $F_e-\mathrm{\&beta;}=\frac{K}{(D_e-\mathrm{\&alpha;})}---\left(2\right)$

The set of equations that (1) formula of solution and (2) formula form, can obtain

$\mathrm{\&alpha;}=\frac{(D_e+D_0)+\sqrt{{(D_e-D_0)}^2+\frac{4K(D_e-D_0)}{(F_0-F_e)}}}{2},$

$\mathrm{\&beta;}=F_0-\frac{K}{D_0-\frac{(D_e+D_0)+\sqrt{{(D_e-D_0)}^2+\frac{4K(D_e-D_0)}{(F_0-F_e)}}}{2}}.$

When carrying out tension force control,

As D≤D ₀time, control tension force F=F ₀;

As D>=D _etime, control tension force F=F _e;

As D ∈ (D ₀, D _e) time, according to carrying out tension force control as minor function:

$F=F_0-\frac{K}{D_0-\frac{(D_e+D_0)+\sqrt{{(D_e-D_0)}^2+\frac{4K(D_e-D_0)}{(F_0-F_e)}}}{2}}+\frac{K}{D-\frac{(D_e+D_0)+\sqrt{{(D_e-D_0)}^2+\frac{4K(D_e-D_0)}{(F_0-F_e)}}}{2}}.$

The invention has the beneficial effects as follows, this convex curve is controlled can adapt to the printing material that deformation quantity is little, can solve volume heart Zou problem that rolling connects material and produces in process, and the upper convex curve Presentation Function of man-machine interface and the numeral demonstration changing with coil diameter when forward pull more seem simple and clear, handled easily is adjusted, more humane.

Accompanying drawing explanation

Fig. 1 is the function model curve synoptic diagram of the printer rolling tension control process based on convex curve of the present invention;

Fig. 2 is function relation figure between tension force decay and coil diameter increase in prior art nonlinear tension control method;

Fig. 3 is function relation figure between tension force decay and the coil diameter increase of the linear equation of straight line of prior art;

Fig. 4 the present invention is based on the tension force of exporting in the printer rolling tension control process of convex curve to control data and curves figure;

Fig. 5 is the diagram of curves of actual electric Proportion valve output tension data in the printer rolling tension control process based on concave curve of the present invention;

Fig. 6 is the structural representation of the control setup that uses in the printer rolling tension control process based on convex curve of the present invention;

Fig. 7 is the schematic diagram of the control system of the tenslator that uses in the printer rolling tension control process based on convex curve of the present invention;

Fig. 8 is that the real-time tension force that the present invention is based on the upper computer demonstration of the control setup using in the printer rolling tension control process of convex curve is controlled diagram of curves;

Fig. 9 is that the present invention the present invention is based in the printer rolling tension control process embodiment of concave curve the tension force that obtains when the 1st group of data are produced and the function relation figure between coil diameter;

Figure 10 the present invention is based in the printer rolling tension control process embodiment of concave curve the tension force that obtains when the 1st group of data are produced and the function relation figure between coil diameter.

In figure, 1. Programmable Logic Controller PLC, 2. rolling pendulum rod, 3. low rubbing cylinder, 4. sensor 5. upper computer HMI, 6. material film, 7. winding motor, 8. electric Proportion valve, 9. rolling frequency converter.

The specific embodiment

Below in conjunction with the drawings and specific embodiments, the present invention is described in detail.

Printer rolling tension control process based on convex curve of the present invention, as shown in Figure 1, its function model is inverse proportion function of third quadrant, when tension force y represents winding tension F, when x represents take-up diameter D,

by function

at x direction of principal axis, to right translation αGe unit, on y direction of principal axis, translation βGe unit can obtain the convex curve of a first quartile k represents the coefficient of curvature of curve, and the scope in actual production is 100～900000, according to concrete material character, sets.

At printer, carry out in the process of rolling the tapering initial diameter D setting when rolling is initial ₀with the initial tension force F of tapering ₀point on respective function curve is P (D ₀, F ₀), tapering when rolling finishes finishes diameter D _efinish tension force F with tapering _epoint on corresponding function curve is Q (D _e, F _e), K value is selected according to the character of material and requirement,

Because, $(F-\mathrm{\&beta;})=\frac{K}{(D-\mathrm{\&alpha;})},$

So,

by above-mentioned P (D ₀, F ₀) and Q (D _e, F _e) value substitution function, can obtain:

$F_0-\mathrm{\&beta;}=\frac{K}{(D_0-\mathrm{\&alpha;})}---\left(1\right)$

$F_e-\mathrm{\&beta;}=\frac{K}{(D_e-\mathrm{\&alpha;})}---\left(2\right)$

The set of equations that (1) formula of solution and (2) formula form, can obtain

$\mathrm{\&alpha;}=\frac{(D_e+D_0)+\sqrt{{(D_e-D_0)}^2+\frac{4K(D_e-D_0)}{(F_0-F_e)}}}{2},$

$\mathrm{\&beta;}=F_0-\frac{K}{D_0-\frac{(D_e+D_0)+\sqrt{{(D_e-D_0)}^2+\frac{4K(D_e-D_0)}{(F_0-F_e)}}}{2}}.$

By the value substitution of α and β in, can obtain

$F=F_0-\frac{K}{D_0-\frac{(D_e+D_0)+\sqrt{{(D_e-D_0)}^2+\frac{4K(D_e-D_0)}{(F_0-F_e)}}}{2}}+\frac{K}{D-\frac{(D_e+D_0)+\sqrt{{(D_e-D_0)}^2+\frac{4K(D_e-D_0)}{(F_0-F_e)}}}{2}}$

Be and utilize the printer rolling tension control process the present invention is based on convex curve to carry out the winding tension of tension force while controlling and the relation function between take-up diameter.

In actual production process,

Tapering initial diameter D ₀finish diameter D with tapering _eunit be cm, be accurate to 0.1cm; Span is 0～1000mm.

The initial tension force F of tapering ₀finish tension force F with tapering _eunit is ‰, is accurate to 1 ‰, and span is: 1 ‰～1,000 ‰.

K value is for controlling the setting value of the coefficient of curvature of curved degree, and span is: 100～900000.

This function curve is unlimited extension, will carry out amplitude limit to curve in actual use, when coil diameter is less than or equal to the initial coil diameter D of tapering ₀time, getting current tension value is initial tension F ₀; When being more than or equal to tapering, coil diameter finishes coil diameter D _etime, get current tension value for finishing tension force F _e; When coil diameter is in D ₀and D _einterval in time select corresponding convex curve, that is:

As D≤D ₀time, F=F ₀;

As D>=D _etime, F=F _e;

As D ∈ (D ₀, D _e) time select convex curve

adopt following algorithm:

$F=F_0-\frac{K}{D_0-\frac{(D_e+D_0)+\sqrt{{(D_e-D_0)}^2+\frac{4K(D_e-D_0)}{(F_0-F_e)}}}{2}}+\frac{K}{D-\frac{(D_e+D_0)+\sqrt{{(D_e-D_0)}^2+\frac{4K(D_e-D_0)}{(F_0-F_e)}}}{2}}$

Printer rolling tension control process based on convex curve of the present invention, compares with the tension control method of prior art, more accurate to the control of tension force.As shown in Figure 2, function relation figure between the decay of the tension force of prior art and coil diameter increase, in figure, the functional expression of tension force and coil diameter nonlinear relationship is:

d wherein ₀for initial diameter, F ₀for initial tension, D is current diameter, and F is for to work as forward pull, and K is tension force rate of attenuation.When being used this technology, reality there is following problem: 1. whole tension curve change procedure is not directly perceived; 2. finish the tension value size that diameter is corresponding uncertain; 3. in whole process, the rate of attenuation of tension force, initial tension force, end tension force can not be taken into account simultaneously.Therefore can not well well mate the winding tension of some special material.

Fig. 3 is that the technology straight line of prior art is controlled function relation figure between tension force decay and coil diameter increase, and in figure, the functional expression of tension force and coil diameter nonlinear relationship is:

d wherein ₀for initial diameter, F ₀for initial tension, D is current diameter, and F is for working as forward pull, wherein D _efor finishing diameter, F _efor finishing tension force.Prior art straight line is controlled and has been determined initial parameters and finished after parameter, and control process just can not change, and does not adapt to the software feature of printing material itself.

And the printer rolling tension control process based on convex curve of the present invention,

Shown in Fig. 4 is when rolling setting parameter is the data in table 1, and after setting by the function in tension control method of the present invention, the tension force of the output that control algorithm obtains is controlled data convex curve figure.When in figure, convex curve 1 and convex curve 2 are distinguished the 1st group of tension force setup parameters and the 2nd group of tension force setup parameter, the theoretic tension force obtaining according to control algorithm is controlled output convex curve figure.

Fig. 5 is that in the printer rolling tension control process based on convex curve of the present invention, actual electric Proportion valve output tension signal is convex curve figure, in figure, convex curve 1, convex curve 2 are respectively while carrying out setting parameter according to the 1st group of data in table 1 and the 2nd group, the tension curve figure of the actual electric Proportion valve output obtaining by test in actual production.

Table 1

From Fig. 4 and Fig. 5, by contrast, can find out, utilize tension control method of the present invention, in actual production, the diagram of curves of the control curve of tension force and actual electric Proportion valve output tension signal fits like a glove, and actual tension force output can reach the re-set target of control completely.

Tenslator by is as shown in Figure 6 achieved, and the structure of this control setup is: the core parts of control are Programmable Logic Controller PLC1; Control the rolling pendulum rod 2 of rolling; For controlling the low rubbing cylinder 3 of rolling pendulum rod; Sensor 4 is for responding to floating and producing value of feedback of rolling pendulum roller 2 generations, and the effect of upper computer HMI5 is for setting and show the tension parameters of rolling, carrying out the real-time monitoring of setting parameter and tension variation curve; Material film 6; Winding motor 7; The electric signal of analog quantity is converted to the electric Proportion valve 8 of the pressure signal of air; Rolling frequency converter 9, Fig. 7 is the schematic diagram of the control system of this tenslator.

Principle of work and process that this tenslator carries out tension force control are: after setting according to actual needs with reference to coefficient on upper computer HIM5, the core parts PLC1 controlling does output control according to the parameter of setting and current coil diameter to winding tension, PLC control system 1 parameter of upper computer HMI is calculated by programming after by tension value with the formal output of analog quantity to electric Proportion valve 8, electric Proportion valve 8 converts electrical signals to air pressure and is reacted on low rubbing cylinder 4, low rubbing cylinder 4 passes to rolling pendulum rod 2 by cylinder arm with the form of thrust corresponding pressure, rolling pendulum rod 2 pulls material film 6 with tension force to the right, simultaneously PLC1 by the winding motor 7 controlling rolling frequency converter 9 and control with 6 one of the form feed films of rolling tension force left, material film 6 is issued to balance between two forces in the effect of two tension force, if expect the force unbalance that is subject to of film 6, put roller 2, with the form swinging, deviate is informed to sensor 4, sensor 4 is transferred to PLC1 by value of feedback with the form of analog quantity, PLC1 controls the rotating speed of winding motor 7 again by controlling rolling frequency converter 9, motor 7 is by rotating the tension force of controlling material film around volume, thereby reach the equalization of strain of pendulum roller 2 tension force and motor 7, realize the steady rolling of rolling.

Fig. 8 is that the tension force showing in real time in wrapup procedure that the man-machine interface of apparatus of the present invention shows is controlled diagram of curves, can be clearly seen that current various parameters from this interface, as:

TS(‰) be the setting value of the initial tension force of rolling tapering, unit is ‰, is accurate to 1 ‰, setting range is 1 ‰-1,000 ‰;

DS (cm) is the setting value of rolling tapering initial diameter, and unit is cm, is accurate to 0.1cm, and setting range is 0-100.0cm;

TE(‰) for rolling tapering finishes the setting value of tension force, unit is ‰, is accurate to 1 ‰, setting range is 1 ‰-1,000 ‰;

DE (cm) finishes the setting value of diameter for rolling tapering, and unit is cm, is accurate to 0.1cm, and setting range is 0-100.0cm;

K value is for controlling the setting value of the coefficient of curvature of curved degree, and setting range is 100-900000.

After setting parameter, in the diagram of curves of demonstration, abscissa represents coil diameter, and unit is centimetre, and ordinate represents tension force, and unit is 1 ‰; Vertical line is removable scale, can check the respective value of tension force and coil diameter; Parameter and algorithm determine after man-machine interface can show accurately current coil diameter value D (cm) and current tension value T(‰).

Embodiment

As shown in table 2, choose two groups of initial setting data, then the functional relation by tension force and coil diameter calculates data, obtains the function relation figure between Fig. 7, Fig. 8, Fig. 9 tension force and coil diameter.

Two groups of primary datas of setting that table 2 is chosen

From Fig. 9, Figure 10, can see, the Changing Pattern of tension force convex curve is consistent substantially with Fig. 6, and coefficient of curvature K value plays obvious effect to the curvilinear motion of this control process, and in force, intelligence in man-machine interface, show convex curve in real time, intuitive display understands, easy to operate; Setting value is initial diameter, tension force, finishes diameter, tension force, meets traditional operating habit, and is convenient to control whole tension force attenuation process.

Therefore, convex curve taper tension control method of the present invention meets the requirement to winding tension in tension force control process completely, and rolling quality is significantly improved, and tapering curve intuitive display has huge using value and economic Popularizing of A.

Claims (3)

1. the printer rolling tension control process based on convex curve, is characterized in that, when printer rolling according to carrying out tension force control with minor function:

$F=\mathrm{\&beta;}+\frac{K}{(D-\mathrm{\&alpha;})},$

Taper tension when wherein, F is rolling; Tapering diameter when D is rolling; K is the coefficient of curvature of curve, and practical ranges is 100-900000; α and β are constant.

2. the printer rolling tension control process based on convex curve according to claim 1, is characterized in that, described constant alpha and β be the initial parameters during according to rolling and finish parameter and determine, concrete definite method is:

By tapering initial diameter D ₀with the initial tension force F of tapering ₀substitution

in,

Obtain, $F_0-\mathrm{\&beta;}=\frac{K}{(D_0-\mathrm{\&alpha;})}---\left(1\right)$

Tapering is finished to diameter D _efinish tension force F with tapering _esubstitution

in,

Obtain, $F_e-\mathrm{\&beta;}=\frac{K}{(D_e-\mathrm{\&alpha;})}---\left(2\right)$

The set of equations that (1) formula of solution and (2) formula form, can obtain

$\mathrm{\&alpha;}=\frac{(D_e+D_0)+\sqrt{{(D_e-D_0)}^2+\frac{4K(D_e-D_0)}{(F_0-F_e)}}}{2},$

$\mathrm{\&beta;}=F_0-\frac{K}{D_0-\frac{(D_e+D_0)+\sqrt{{(D_e-D_0)}^2+\frac{4K(D_e-D_0)}{(F_0-F_e)}}}{2}}.$

3. the printer rolling tension control process based on convex curve according to claim 2, is characterized in that, when carrying out tension force control,

As D≤D ₀time, control tension force F=F ₀;

As D>=D _etime, control tension force F=F _e;

As D ∈ (D ₀, D _e) time, according to carrying out tension force control as minor function:

$F=F_0-\frac{K}{D_0-\frac{(D_e+D_0)+\sqrt{{(D_e-D_0)}^2+\frac{4K(D_e-D_0)}{(F_0-F_e)}}}{2}}+\frac{K}{D-\frac{(D_e+D_0)+\sqrt{{(D_e-D_0)}^2+\frac{4K(D_e-D_0)}{(F_0-F_e)}}}{2}}.$

Images