Analysis of the Smoothing Effect of the Card Cylinder Using Simulation

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Abstract
The first part of this series discussed a two-dimensional mathematical model of the carding process. This part discusses the algorithm of simulation for a carding process using the state variables, which take into consideration a transference of fibers in the longitudinal and transverse directions, obtained in terms of mathematical equations. An experimental investigation is reported for estimating model parameters that char acterize diffusion of fibers in the transverse direction. The least-squares method with a log-scale is used to process experimental data for a linear approximation of the weight function in the transverse direction. The weight and unit step functions in the transverse direction are obtained using simulation. Realization of random processes is achieved in ten parallel sections in the output of a carding machine. The graphs of profile change for coefficients of variation show a smoothing effect in the carding process. A new system of statistical characteristics for two-dimensional textile material irregularity is used for quantitative estimation of this effect. A statistical analysis of the simulation results shows a decrease in the irregularity by length, width, and area of a web.

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