A TENTATIVE DISCUSSION ON THE APPLICATIONS OF DIFFERENCE EQUATION TO FABRIC RESEARCHES

It is convinient to apply the difference cquation to the fabric deformation analysis, above all, in the case of low density fabric such as leno, where this method may be very effective (1) In order to analyse draping shape of hanged curtain, we can apply this equation to a simple model of this phenomenon as shown in Fig. 2, and the deflection of horizontal elements of its model, δxmay be expressed: where To is tension applied, K and λ are constant. (2) In the M. I. T. Drape-o-meter, the chord-length lx, at a point x of the model as Shown in Fig. 4, is obtaind by this idea, with the function it leads to: (3) Normal pressure of cross point of the warp and weft yarns is obtained by applying this difference equation to the 3 moments theorem of continuous beam.