Design method of high-order polynomial curved convex roll for bloom continuous casting straightening machine
A design method and polynomial technology, applied in the direction of design optimization/simulation, calculation, special data processing application, etc., can solve the problems such as the inability to effectively control the roll curve, insufficient design methods, and difficult processing, so as to improve the center density, The effect of avoiding surface cracks and enhancing controllability
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[0042] Such as figure 1 As shown, when designing the roll shape, given the work roll body length l = 500mm, the horizontal length of the left and right edge areas lc1 = l c2 =110mm, the horizontal length of the left and right high degree polynomial curve area l s1 = l s2 =70mm, horizontal length of flat roll zone l q =140mm and roll diameter D=560mm, shaft diameter d=500mm, horizontal offset from origin s 0 =0, the next step is to draw the high-degree polynomial curve area in combination with the given parameters.
[0043] Such as figure 2 and 3 As shown, the roll body shape in the high-order polynomial curve area of the work roll is extracted, and the roll shape function is fitted to obtain the roll shape function:
[0044]
[0045] where: y 2 (x)=A 3 x 3 +A 2 x 2 +A 1 x+c
[0046]
[0047]
[0048] or y 2 (x)=A 4 x 4 +A 3 x 3 +A 2 x 2 +A 1 x+c
[0049]
[0050] or y 2 (x)=A 5 x 5 +A 4 x 4 +A 3 x 3 +A 2 x 2 +A 1 x+c
[0051] ...
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