Abstract
Abstract
After manufacture, some synthetic fibres are wound under tension on a flanged cylinder, and a knowledge of the pressures exerted by the yarn on the flanges and on the cylinder is required for design purposes.
During winding, the pack of yarn may behave as an elastic solid, flange pressure being generated by the partial prevention of longitudinal expansion. However, it is also possible that the fibres may undergo a relative slipping movement and tend to slide off the ends of the cylinder. Flange pressure would then be developed in order to inhibit further slip.
These two possibilities are examined on the assumption that the yarn has isotropic elastic properties. Although it is known that drawn fibres possess considerable anisotropy, these analyses are a prelude to studies of anisotropic behaviour.
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