The strength of staple fiber is an important property for yams and fabrics. Usually there are variations in individual fiber strength, and this will affect the finai strength of yarns and fabrics. In this study, Weibu...The strength of staple fiber is an important property for yams and fabrics. Usually there are variations in individual fiber strength, and this will affect the finai strength of yarns and fabrics. In this study, Weibuli distribution function is used to analyze the strength distribution of various staple fibers. The strengths of wool, silk, cotton, flax, acrylic, polyester, glass, aramid and carbon fiber are tested. It is found that the strengths of cotton, polyester, glass, aramid and carbon fiber fit well with the two-factor Weibull distribution, while those of wool and silk with the three-factor Weibuil distribution. However, the strength distribution of flax cannot be expressed by either two- or three-factor Weibull distribution convincingly.展开更多
The Webster scalar curvature is computed for the sphere bundle T_1S of a Finsler surface(S, F) subject to the Chern-Hamilton notion of adapted metrics. As an application,it is derived that in this setting(T_1S, g Sasa...The Webster scalar curvature is computed for the sphere bundle T_1S of a Finsler surface(S, F) subject to the Chern-Hamilton notion of adapted metrics. As an application,it is derived that in this setting(T_1S, g Sasaki) is a Sasakian manifold homothetic with a generalized Berger sphere, and that a natural Cartan structure is arising from the horizontal 1-forms and the author associates a non-Einstein pseudo-Hermitian structure. Also, one studies when the Sasaki type metric of T_1S is generally adapted to the natural co-frame provided by the Finsler structure.展开更多
文摘The strength of staple fiber is an important property for yams and fabrics. Usually there are variations in individual fiber strength, and this will affect the finai strength of yarns and fabrics. In this study, Weibuli distribution function is used to analyze the strength distribution of various staple fibers. The strengths of wool, silk, cotton, flax, acrylic, polyester, glass, aramid and carbon fiber are tested. It is found that the strengths of cotton, polyester, glass, aramid and carbon fiber fit well with the two-factor Weibull distribution, while those of wool and silk with the three-factor Weibuil distribution. However, the strength distribution of flax cannot be expressed by either two- or three-factor Weibull distribution convincingly.
文摘The Webster scalar curvature is computed for the sphere bundle T_1S of a Finsler surface(S, F) subject to the Chern-Hamilton notion of adapted metrics. As an application,it is derived that in this setting(T_1S, g Sasaki) is a Sasakian manifold homothetic with a generalized Berger sphere, and that a natural Cartan structure is arising from the horizontal 1-forms and the author associates a non-Einstein pseudo-Hermitian structure. Also, one studies when the Sasaki type metric of T_1S is generally adapted to the natural co-frame provided by the Finsler structure.
