Analysis and prediction of the width of spreading carbon fiber tow based on gray system theory

This article studied the effects of the speed of spreading fiber and tension of spreading fiber on the width of spreading carbon fiber tow. Based on the single tension of spreading fiber, the univariate gray prediction model GM (1,1) was established, which showed high feasibility and accuracy. Under different tensions of spreading fiber, the intrinsic correlation of the width sequence were analyzed and the multivariate gray prediction model MGM(1,n) was established to predict width of spreading fiber. By transforming the identity of multiple factors in the uncertainty system, it can overcome the limitation that multiple factors develops without keeping same pace. The analysis shows that there is an intrinsic correlation between the widths of spreading fiber tow under different tensions of spreading fiber. Based on the gray correlation degree and the adjacent sequence, the gray prediction model established has high numerical precision. There is good guiding significance for precision optimization in actual production.