Effect of Roll Crown on Heat Buckling in Continuous Annealing and Processing Lines

New Monitoring Technique for Detecting Buckling in the Continuous Annealing Line Using Canonical Correlation Analysis

“…According to T. Matoba and others [2], a transverse compressive force caused by the difference of the direction between the roll rotation and strip move as shown in Fig. 3 acts on a portion of the strip contacting with the taper portion of the roll.…”

“…The mechanism of buckling was studied by T. Sasaki, T. Hira and H. Abe [1], T. Matoba, M. Ataka, I. Aoki, and T. Jinma [2]. In this section, their theory is explained in brief.…”

“…Here, the pressing force N generated by the strip tensile stress σ t is the product of three terms, that are the pressure to the roll σ t h/R, the strip width contacting with taper (b − c)/2 and the winding length of the strip around the roll πR, where R is the roll radius, h is strip thickness, b is strip width and c is the width of flat portion of roll. Therefore, the transverse compressive force F 0 is given by the following equation [2].…”

“…Assuming the transverse compressive force acts on the part near the roll with the length of a' in the longitudinal direction, the compressive stress is obtained by dividing F 0 by cross section a'h [2] …”

“…But it is difficult to detect signs of buckling with sufficient accuracy because buckling is caused by a complicated causal association among various variables. While many trials to clarify the mechanism of buckling and to detect signs of buckling based on the detailed physical approach were conducted in the past [1], [2], there is a difficulty that some of parameters cannot be identified exactly because these are changed under various operating conditions. For the above reason, data oriented approaches such as statistic analysis are studied as an alternative to the conventional monitoring method.…”