CN105618487A - Roll profile design method for uniform-pressing finish-rolling supporting roll - Google Patents

Abstract

The invention relates to the field of roll profile design, in particular to a roll profile design method for a uniform-pressing finish-rolling supporting roll. A roll profile curve of a working roll is calculated by applying an existing formula, a curve between a first high spot and a low spot of a working roll CVC curve from left to right is intercepted. The intercepted curve section is left horizontally moved by X1, a starting point of a roll end curve on one side is determined, the curve section is right horizontally moved by -X2, a intersection point of the right horizontally moved curve and the left horizontally moved curve is found, and a starting point of the roll end curve on the other side is determined; and curve values between the two points are multiplied by a coefficient, a roll end curve of the two sides is designed according to a parameter equation, and numerical simulation of the designed roll end curve is conducted. The improved finish-rolling supporting roll is even in abrasion, the roll replacement period is prolonged to 24 days from 15 days, and the roll consumption is reduced to two yuan/ton.

Description

One all presses finish rolling backing roll roll contour design method

Technical field

The present invention relates to roll contour design field, specifically one all presses finish rolling backing roll roll contour design method.

Background technology

The working roll of Taiyuan Iron and Steel Co. hot continuous rolling factory 2250 production line finish rolling 7 frame tandem mill group all adopts CVC roll forming, regulates as it is shown in figure 1, this configuration can realize roll forming convexity continuous variable, decreases roll specification and roll change number of times, improve production efficiency.

While CVC shape of working roll plays its advantage, backing roll is also made to occur in that uneven abrasion. Not only shorten the roll change cycle of backing roll, reduce production efficiency, and add the loss supporting roller itself, reduce the dimensional accuracy of the backing roll use rolling stability in later stage, the strip shape quality of strip steel and strip steel. Forming theory according to abrasion, uneven abrasion reflects in belt steel rolling process, the inhomogeneities of contact pressure between backing roll and working roll, and the position contact pressure namely wearing and tearing big is bigger. Applied finite element simulation software for calculation, when calculating the roll forming that backing roll provides for western mark, the contact pressure between backing roll and working roll is distributed as shown in Figure 2, it is seen that be implicitly present in serious unbalanced stress phenomenon between backing roll and working roll.

Summary of the invention

The technical problem to be solved is: how to realize backing roll uniform wear in use.

The technical solution adopted in the present invention is: one all presses finish rolling backing roll roll contour design method, carry out as follows: step one, with working roll barrel length for abscissa, roll forming is sized to vertical coordinate, centered by working roll axis left end starting point, point sets up CVC coordinate system, calculates the CVC curvilinear equation obtaining existing working roll and is: y=a₃x³+a₂x²+a₁x+a₀, intercept the curve between CVC curve first high point from left to right of working roll and first low spot, ��₁, ��₂, ��₃, a₀For constant, x is the abscissa that working roll barrel length is corresponding, and y is the vertical coordinate that shape of working roll size is corresponding, and roll forming size is the relative altitude of roller, i.e. roll forming convexity;

Step 2, the CVC curve of working roll that step one is intercepted translate along abscissa, first left is carried out, abscissa corresponding to curve left end point after left is as the terminal of the left chamfering all pressing finish rolling backing roll, then carrying out right translation, the abscissa corresponding with the intersection point of the curve after left of the curve after right translation is as the starting point of the right chamfering all pressing finish rolling backing roll;

Step 3, left end point with the curve after the left end point of the curve after left in straight line Connection Step two and right translation, intercept right translation curve in this section of straight line and step 2 from left end point to intersection point between curve, keep abscissa constant, vertical coordinate is unified is multiplied by adjustment factor ��, obtain the CVC curve all pressed between the left and right chamfering of finish rolling backing roll, 0 < ����1;

Step 4, all press finish rolling backing roll left reciprocal curve CVC curvilinear equation be: $H_O\left(x\right)=h_{o1}{\&lsqb;\frac{L_o-x}{L_o}\&rsqb;}^{\mathrm{\&beta;}}+h_{o2}{\&lsqb;\frac{L_o-x}{L_o}\&rsqb;}^{\mathrm{\&gamma;}}+h_{03}{\&lsqb;\frac{L_o-x}{L_o}\&rsqb;}^{\mathrm{\&omega;}},$ All the right reciprocal curve CVC curvilinear equation of pressure finish rolling backing roll is $H_D\left(x\right)=h_{D1}{\&lsqb;\frac{x}{L_D}\&rsqb;}^{\mathrm{\&beta;}}+h_{D2}{\&lsqb;\frac{x}{L_D}\&rsqb;}^{\mathrm{\&gamma;}}+h_{D3}{\&lsqb;\frac{x}{L_D}\&rsqb;}^{\mathrm{\&omega;}},$ In formula, h_o1��h_o2��h₀₃It both is greater than being equal to 0, and h_o1+h_o2+h₀₃=H_o, h_o1��h_o2��h₀₃For three the parameter value values empirically taken, h_D1��h_D2��h_D3It both is greater than being equal to 0, and h_D1+h_D2+h_D3=H_D, h_D1��h_D2��h_D3For three parameter values empirically taken, h_o1: h_o2: h₀₃=h_D1: h_D2: h_D3, H_oFor left chamfer height, L_oLeft chamfering length, H_DRight chamfer height, L_DFor right chamfering length, ��, ��, �� respectively power exponent is empirical value constant, and x all presses coordinate corresponding in finish rolling backing roll barrel length, H_oX () is roll forming size corresponding to left chamfering, H_DX () is roll forming size corresponding to right chamfering, make the right endpoint all pressing the left reciprocal curve CVC curve of finish rolling backing roll equal with the left end point vertical coordinate of the curve after left in step 3 along vertical coordinate translation the left reciprocal curve CVC curve all pressing finish rolling backing roll, obtain the left reciprocal curve CVC curve all pressing finish rolling backing roll revised, make the left end point all pressing the right reciprocal curve CVC curve of finish rolling backing roll equal with the vertical coordinate of intersection point in step 3 along vertical coordinate translation the right reciprocal curve CVC curve all pressing finish rolling backing roll, obtain the right reciprocal curve CVC curve all pressing finish rolling backing roll revised,

Step 5, utilization index smoothing techniques are by the CVC curve all pressed between the left and right chamfering of finish rolling backing roll, the left reciprocal curve CVC curve all pressing finish rolling backing roll revised, the right reciprocal curve CVC curve matching all pressing finish rolling backing roll revised, obtain complete all pressures finish rolling backing roll roll shape curve CVC curve, utilize complete all pressures finish rolling backing roll roll shape curve CVC Curve Machining to go out all pressure finish rolling backing rolls.

As a kind of optimal way: in step 2, the translational movement of left is relevant with roll shifting position with the translational movement of right translation, add up the roll shifting position of this frame all pressing finish rolling backing roll place, set up frequency and roll shifting location map, scattergram takes the translational movement of the corresponding left respectively of the roll shifting position corresponding to 85%-90% roll shifting of total statistic and the translational movement of right translation.

The invention has the beneficial effects as follows: the even wearing of finish rolling backing roll after improvement, the roll change cycle was extended to 24 days by 15 days, and roller consumption reduces by 2 yuan/ton. After improvement, as-rolled condition is more stable, and whipping number of times reduces. After improvement, the near side (ns) wave of wide specification thin plate material is obviously reduced.

Accompanying drawing explanation

Fig. 1 is working roll CVC roll forming figure;

Fig. 2 is the contact pressure scattergram being provided without between front support roller of the present invention and working roll;

Fig. 3 is that the present invention all presses finish rolling backing roll CVC roll forming figure;

Fig. 4 adopts the contact pressure scattergram between rear support roller of the present invention and working roll;

Fig. 5 is that the present invention all presses finish rolling backing roll roll forming parameter distribution figure;

Fig. 6 is roll shifting position statistical Butut;

Fig. 7 is translation the schematic diagram determining roller end endpoint curve.

Detailed description of the invention

Step one, the existing formula of utilization calculate shape of working roll curve

Work on hand roller roll shape curve equation is:

Y=a₃x³+a₂x²+a₁x+a₀

a₃=2.11477795637024E-10

a₂=-8.0065114052187E-07

a₁=7.99279353009544E-04

a₀=0

Then can draw shape of working roll curve as shown in Figure 1, x is the abscissa that working roll barrel length is corresponding, y is the vertical coordinate that shape of working roll size is corresponding, roll forming size is the relative altitude of roller, i.e. roll forming convexity, work on hand roller roll shape curve equation is provided by working roll producer or is gone out by real work roller survey calculation.

" high point " and " low spot " half interval contour on step 2, intercepting working roll CVC curve, it is carried out left X-, left end point is as all pressing the abscissa of the terminal of reciprocal curve on the left of finish rolling backing roll, it is carried out right translation X+, and find out left and the right translation intersection point on right side, using this intersection point as the starting point abscissa all pressing reciprocal curve on the left of finish rolling backing roll.

X+ and X-determines according to the roll shifting position statistical Butut of finish rolling backing roll place frame, as shown in Figure 6, accounts for more than the 85% of total statistic as can be seen from Figure 6, namely can determine that X+=100mm, X-=40mm between roll shifting position-40 to+100. Translate and determine that the schematic diagram of roller end endpoint curve is as shown in Figure 7.

In step 3, Fig. 7, the equal hydraulic support roller curve point-to-point transmission straight line between left left end point and right translation left end point represents, the equal hydraulic support roller curve right translation curve between right translation left end point and intersection point represents. And these two sections of curve adjustment factor �� (0 < ����1) are zoomed in and out. For ��=0.8, obtain the equal hydraulic support roller curve of the interlude in Fig. 7, namely the CVC curve all pressed between the left and right chamfering of finish rolling backing roll is obtained, the vertical coordinate 0.191835067mm abscissa all pressing the CVC origin of curve between the left and right chamfering of finish rolling backing roll is 645mm, and the vertical coordinate 0.063454258mm abscissa all pressing the CVC End of Curve between the left and right chamfering of finish rolling backing roll is 1865.

Step 4, as shown in Figure 5, working roll barrel length is 2550, equal hydraulic support roller barrel length is 2250, and the midpoint of working roll and the equal hydraulic support roller body of roll is on same vertical curve, and on the left of equal hydraulic support roller backing roll and the position of right side roller end corresponds respectively to 150mm and the 2400mm of working roll. So all on the left of hydraulic support roller backing roll and the roller end length of a curve L of right side_O=645-150=495mm, i.e. left chamfering length, L_D=2400-1865=535mm, i.e. right chamfering length.

Left chamfer height H_oWith right chamfer height H_DExperience span (unit mm) respectively (0,1.5] and (0,2.0], with H_o=0.8mm, H_D=1.5mm is example, wherein h_o1: h_o2: h₀₃=h_D1: h_D2: h_D3Learning from else's experience and testing proportionate relationship is that 1:3:1, ��, ��, �� take empirical value 3,4 and 6 respectively, then have concrete roller end curve parametric equation as follows:

All the left reciprocal curve CVC curvilinear equation of pressure finish rolling backing roll is

$H_O\left(x\right)=0.16\&times;{\&lsqb;\frac{435-x}{435}\&rsqb;}^3+0.48\&times;{\&lsqb;\frac{435-x}{435}\&rsqb;}^4+0.16\&times;{\&lsqb;\frac{435-x}{435}\&rsqb;}^6$

All the right reciprocal curve CVC curvilinear equation of pressure finish rolling backing roll is

$H_D\left(x\right)=0.3\&times;{\&lsqb;\frac{x}{535}\&rsqb;}^3+0.9\&times;{\&lsqb;\frac{x}{535}\&rsqb;}^4+0.3\&times;{\&lsqb;\frac{x}{535}\&rsqb;}^6$

Translate 0.191835067mm then to left reciprocal curve along vertical coordinate direction, make the right endpoint all pressing the left reciprocal curve CVC curve of finish rolling backing roll equal with the left end point vertical coordinate of the curve after left in step 3, right reciprocal curve translates 0.063454258mm along vertical coordinate direction, and the left end point all pressing the right reciprocal curve CVC curve of finish rolling backing roll is equal with the vertical coordinate of intersection point in step 3.

Step 5, as shown in Figure 3, and utilization index smoothing method, left reciprocal curve and right reciprocal curve after step 4 being translated are spliced on the CVC curve between the left and right chamfering all pressing finish rolling backing roll and can obtain complete all pressures finish rolling backing roll roll shape curve CVC curve, utilize complete all pressures finish rolling backing roll roll shape curve CVC Curve Machining to go out all pressure finish rolling backing rolls, utilize all pressures contact pressure between finish rolling backing roll its backing roll and working roll that the inventive method processes to be distributed as shown in Figure 4.

Claims (2)

1. all press finish rolling backing roll roll contour design method for one kind, it is characterised in that carry out as follows:

Step one, with working roll barrel length for abscissa, roll forming is sized to vertical coordinate, and centered by working roll axis left end starting point, point sets up CVC coordinate system, calculates the CVC curvilinear equation obtaining existing working roll and is: y=a₃x³+a₂x²+a₁x+a₀, intercept the curve between CVC curve first high point from left to right of working roll and first low spot, ��₁, ��₂, ��₃, a₀For constant, x is the abscissa that working roll barrel length is corresponding, and y is the vertical coordinate that shape of working roll size is corresponding, and roll forming size is the relative altitude of roller, i.e. roll forming convexity;

Step 2, the CVC curve of working roll that step one is intercepted translate along abscissa, first left is carried out, abscissa corresponding to curve left end point after left is as the terminal of the left chamfering all pressing finish rolling backing roll, then carrying out right translation, the abscissa corresponding with the intersection point of the curve after left of the curve after right translation is as the starting point of the right chamfering all pressing finish rolling backing roll;

Step 3, left end point with the curve after the left end point of the curve after left in straight line Connection Step two and right translation, intercept right translation curve in this section of straight line and step 2 from left end point to intersection point between curve, keep abscissa constant, vertical coordinate is unified is multiplied by adjustment factor ��, obtain the CVC curve all pressed between the left and right chamfering of finish rolling backing roll, 0 < ����1;

Step 4, all press finish rolling backing roll left reciprocal curve CVC curvilinear equation be: $H_O\left(x\right)=h_{o1}{\&lsqb;\frac{L_o-x}{L_o}\&rsqb;}^{\mathrm{\&beta;}}+h_{o2}{\&lsqb;\frac{L_o-x}{L_o}\&rsqb;}^{\mathrm{\&gamma;}}+h_{03}{\&lsqb;\frac{L_o-x}{L_o}\&rsqb;}^{\mathrm{\&omega;}},$ All the right reciprocal curve CVC curvilinear equation of pressure finish rolling backing roll is $H_D\left(x\right)=h_{D1}{\&lsqb;\frac{x}{L_D}\&rsqb;}^{\mathrm{\&beta;}}+h_{D2}{\&lsqb;\frac{x}{L_D}\&rsqb;}^{\mathrm{\&gamma;}}+h_{D3}{\&lsqb;\frac{x}{L_D}\&rsqb;}^{\mathrm{\&omega;}},$ In formula, h_o1��h_o2��h₀₃It both is greater than being equal to 0, and h_o1+h_o2+h₀₃=H_o, h_o1��h_o2��h₀₃For three the parameter value values empirically taken, h_D1��h_D2��h_D3It both is greater than being equal to 0, and h_D1+h_D2+h_D3=H_D, h_D1��h_D2��h_D3For three parameter values empirically taken, h_o1: h_o2: h₀₃=h_D1: h_D2: h_D3, H_oFor left chamfer height, L_oLeft chamfering length, H_DRight chamfer height, L_DFor right chamfering length, ��, ��, �� respectively power exponent is empirical value constant, and x all presses coordinate corresponding in finish rolling backing roll barrel length, H_oX () is roll forming size corresponding to left chamfering, H_DX () is roll forming size corresponding to right chamfering, make the right endpoint all pressing the left reciprocal curve CVC curve of finish rolling backing roll equal with the left end point vertical coordinate of the curve after left in step 3 along vertical coordinate translation the left reciprocal curve CVC curve all pressing finish rolling backing roll, obtain the left reciprocal curve CVC curve all pressing finish rolling backing roll revised, make the left end point all pressing the right reciprocal curve CVC curve of finish rolling backing roll equal with the vertical coordinate of intersection point in step 3 along vertical coordinate translation the right reciprocal curve CVC curve all pressing finish rolling backing roll, obtain the right reciprocal curve CVC curve all pressing finish rolling backing roll revised,

Step 5, utilization index smoothing techniques are by the CVC curve all pressed between the left and right chamfering of finish rolling backing roll, the left reciprocal curve CVC curve all pressing finish rolling backing roll revised, the right reciprocal curve CVC curve matching all pressing finish rolling backing roll revised, obtain complete all pressures finish rolling backing roll roll shape curve CVC curve, utilize complete all pressures finish rolling backing roll roll shape curve CVC Curve Machining to go out all pressure finish rolling backing rolls.

2. one according to claim 1 all presses finish rolling backing roll roll contour design method, it is characterized in that: in step 2, the translational movement of left is relevant with roll shifting position with the translational movement of right translation, add up the roll shifting position of this frame all pressing finish rolling backing roll place, set up frequency and roll shifting location map, scattergram takes the translational movement of the corresponding left respectively of the roll shifting position corresponding to 85%-90% roll shifting of total statistic and the translational movement of right translation.