| 环面上非测地线缠绕方程 |
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| 引用本文： | 李先立. 环面上非测地线缠绕方程[J]. 复合材料学报, 1986, 3(3): 75 |
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| 作者姓名： | 李先立 |
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| 作者单位： | 武汉工业大学机械系 |
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| 摘 要： | 本文分析了非测地线稳定缠绕的条件,用微分几何中法曲率和短程曲率概念给出了环面上非测地线缠绕方程,为缠绕弧形管提供了依据。
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| 收稿时间： | 1986-03-03 |
NON-GEODESIC WINDING EQUATION ON A TORUS |
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| Li Xianli. NON-GEODESIC WINDING EQUATION ON A TORUS[J]. Acta Materiae Compositae Sinica, 1986, 3(3): 75 |
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| Authors: | Li Xianli |
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| Affiliation: | Department of Mechanical Engineering Wuhan University of Technology, Wuhan, China |
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| Abstract: | The non-geodesic Filament winding process is reproducible when the friction between the resin impreguated filament and bases (the core or other filament layer) is utilized in order to prevent any slippage of the reinforcing material.Based on normal and geodesic curvatures in Differential Geometry,this paper analyzed conditions of equilibrium of a non-geodesic winding:Kg/Kn≤μwhere Kn is the normal curvature of the point on the point on the curve,Kg the geodesic curvatnte of the point on the curve,and μ the coefficient of friction between the resin impreguated filament and the bases.The calculation formulas of a non-geodesic winding on a torus are presented in this paper,which can be solved with the aid of a method of numerical mathematics (Runge-Kutta method) and can also be utilized for a geodesic winding on a torus.A non-geodesic turn-around of the winding on a torus free of slippage is easily realized and this can be a evidence for winding curved tube. |
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