Waves occurring in cold-rolled plates or sheets can be divided into longitudinal and transverse waves. Classical leveling theories merely solve the problem of longitudinal waves,while no well accepted method can be employed for transverse waves. In order to investigate the essential deformation law of leveling for plates with transverse waves,a 2.5-dimensional (2.5-D) analytical approach was proposed. In this model,the plate was transversely divided into some strips with equal width; the strips are consid-ered to be in the state of plane strain and every group of adjacent strips are assumed to be deformation compatible under stress. After calculating,the bending deformation of each strip and the leveling effect of overall plate were obtained by comprehensive consideration of various strips along with the width. Bending of roller is a main approach to eliminate the transverse waves,which is widely accepted by the industry,but the essential effect of bending of roller on the deformation of plates and the calculation of bending of roller are unknown. According to the 2.5-D analytical model,it can be found that,for plates,it is neutral plane offsetting and middle plane elongation or contraction under inner stress that can effectively improve plate shape. Taking double side waves as an example,the appropriate values of bending of roller were obtained by the 2.5-D analytical model related to different initial unevenness,which was applicable to the current on-line adjusting of bending of roller in rolling industry.
Abstract
Waves occurring in cold-rolled plates or sheets can be divided into longitudinal and transverse waves. Classical leveling theories merely solve the problem of longitudinal waves,while no well accepted method can be employed for transverse waves. In order to investigate the essential deformation law of leveling for plates with transverse waves,a 2.5-dimensional (2.5-D) analytical approach was proposed. In this model,the plate was transversely divided into some strips with equal width; the strips are consid-ered to be in the state of plane strain and every group of adjacent strips are assumed to be deformation compatible under stress. After calculating,the bending deformation of each strip and the leveling effect of overall plate were obtained by comprehensive consideration of various strips along with the width. Bending of roller is a main approach to eliminate the transverse waves,which is widely accepted by the industry,but the essential effect of bending of roller on the deformation of plates and the calculation of bending of roller are unknown. According to the 2.5-D analytical model,it can be found that,for plates,it is neutral plane offsetting and middle plane elongation or contraction under inner stress that can effectively improve plate shape. Taking double side waves as an example,the appropriate values of bending of roller were obtained by the 2.5-D analytical model related to different initial unevenness,which was applicable to the current on-line adjusting of bending of roller in rolling industry.
关键词
plate leveling /
2.5-D analytic model /
transverse waves /
middle plane deformation.
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Key words
plate leveling /
2.5-D analytic model /
transverse waves /
middle plane deformation.
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参考文献
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