Abstract:
A sheet (1) obtained by extruding and molding a raw material using a die (4) with plural thickness adjusting means (10), characterized in that the power spectrum (90) of the thickness profile of the sheet (1) in the transverse direction expressed by the following formula P = F É �¢ F �¢ É ° F É = ˆ« - ˆžˆž f x �¢ e - jÉx �¢ dx (where f(x) is the thickness profile of the sheet in the transverse direction (in ¼ m), F(É) is the Fourier transform of f(x), x is a position in the transverse direction of the sheet (in m), É is a wave number (in m -1 ) , and F(É)* is the conjugate complex number of F(É) ; and j is an imaginary number, and j 2 = -1) and the mean sheet thickness T (¼ m) satisfy the following relation: The mean value X1 of the powers of smaller than a predetermined wave number a is 0.2 x T 2 or less and is smaller than the mean value X2 of the powers of wave number a and larger.
Abstract:
A sheet manufacturing method including the steps (1) to (5) is provided, (1) extruding a sheet material to a sheet form using a die including plural thickness adjusting means; (2) forming a desired sheet by performing a predetermined processing involving dimensional change in a transverse direction of a sheet; (3) measuring a thickness distribution in the transverse direction of the sheet before completion and after completion of the predetermined processing; (4) calculating a manipulated variable to be applied to the thickness adjusting means corresponding to each measuring position based on a thickness distribution measurement value in the transverse direction of the sheet after completion of the processing; and (5) controlling the thickness of the sheet by operating the thickness adjusting means by the manipulated variable; wherein in the calculation of the manipulated variable of step (4), a correspondence position in the transverse direction of the sheet after completion of the processing with respect to the thickness adjusting means is determined through the following steps A and B, and a thickness control is performed based on the determined correspondence position in the transverse direction of the sheet, A. obtaining unknown parameters such that an evaluation function including a mapping function representing a correspondence relationship between a position in the transverse direction of the sheet before completion of the processing and a position in the transverse direction of after completion of the processing and including one or more unknown parameters, a thickness distribution measurement value in the transverse direction of the sheet before completion of the processing, and a thickness distribution measurement value of after completion of the processing becomes an extreme value, and B. determining the mapping function based on the obtained unknown parameters and determining the corresponding position in the transverse direction of the sheet after completion of the processing with respect to the thickness adjusting means based on the determined mapping function.
Abstract:
A method of controlling the thickness of sheets manufactured by the extrusion of a material from a die having a plurality of thickness adjusting means by repeating, at specified timings, the following steps of 1) measuring the distribution of thicknesses of the sheets in lateral direction, 2) evaluating a predicted future variation in sheet thickness by using a specified evaluation function and based on a process model representing a relation between the amount of operation and the sheet thickness and sheet thickness measured values and leading an operating amount time series to minimize the evaluation function, and 3) outputting at least the initial amount of operation of the led operating amount time series to the thickness adjusting means.