空間接觸曲線和變形區(qū)模型方程的解析

SOLUTION OF SPATIAL CONTACT CURVE AND MODEL EQUATION FOR DEFORMATION AREA

摘要: 本文根據(jù)圓錐型軋輥的特點和軋輥與管坯之間空間接觸曲線的特征,運用數(shù)學(xué)分析方法推導(dǎo)出空間接觸曲線和變形區(qū)模型的數(shù)學(xué)解析式。分析了空間接觸曲線和變形區(qū)模型的特點:在x=0處,空間接觸曲線存在一個間斷點;在(x)<20~30mm內(nèi),變形區(qū)模型存在一個特殊段。微分誤差分析和計算機程序運算證明:上述數(shù)學(xué)模型具有極高的精度,達到△rmax<4×10^-5mm。

Abstract: Based on the characteristics of the cone type roll and the characteristics of the roll-shell spatial contact curve, the mathemantic expressions for the said spatial contact curve and the model for defor mation area are deduced by means of mathemantic analysis. An analysis for the features of the spatial contact curve and the deformation area is carried out,i.e.,the spatial contact curve has an interpoint at the position where x=0,and for the model of deformation area there exists a special section within the range of (X)<20~30mm. The differential error analysis and computer program calculation show that the above mentioned mathemantic model has the accuracy high as △rmsx<4×10^-5mm.