Abstract
The purpose of this research is to estimate the influence of elementary fibre properties on _??_ torsional elastic behaviour of sliver-like fibre system for the analysis of spinning mechanisms and for the prediction of yarn quality. In this paper, using the principle of double elasticity theory which was previously discussed by the author, the shear modulus G of sliver-like fibre bundle (length L, radius R, sectional area A and density _??_) is derived as a function of fibre dimensions (length l, diameter b, density ρ and direction to sliver axis θ) and fibre properties (shear rigidity μf. Young's modulus ef, Poisson's ratio σ and coefficient of friction f), that is Then, by the application of same method to torsional displacement of fibre in a bundle which are twisted by _??_ per unit length, the effects of amount of _??_ on structure factors L, R and _??_ of system are determined theoretically by the following:where, E is Young's modulus, Σ is Poisson's ratio of untwisted sliver:And S is applied tensile stress of sliver. If sliver is twisted with constant length, it may be put:S=1/2ER2_??_2.
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