节点文献
测地线缠绕运动方程
THE MOTION EQUATIONS IN GEODESIC WINDING
【摘要】 本文给出的方程,原则上适用于任何可缠绕的几何曲面,也适用于任何给定的纱嘴运动形式。方程的建立,涉及到“落点稳定”和“支点稳定”概念;前者用于一般连续曲面缠绕,后者用于粗台曲面的凸棱过过渡缠绕。在以落点稳定为基础建立的方程中引入了“替换因子”,它使方程在运动形式的选择上具有广泛性。方程一般都以几何参数形式表示,这样利于数学表达,也使方程推导简化;此外,在参数运方程的基础上建立速度方程也比较容易。文中结出了几何参数与时间参数之间的数学关系,以便工程应用。
【Abstract】 In principle, the equations given in the paper can be applied to any kind of windable geometric surface and any determined way of motion of the fiber- feed. The equations deal with concepts of " falling point stabilization" and "supporting point stabilization". And the former is applied to winding general continuous surfaces, and the latter to combined surfaces with transitional convex sides. Substitution Factor is induced in the equation established on the concept of stabilization of falling point,which has vesatility in selecting equation by the way of motion. The equations arc usually indicated as form of geometric parameter that conduces to be expressed in mathematics, to be simplified for processes of derivation) and to be established for speed equations. Mathematical relation between the geometric parameter and the time parameter is also given in the paper for engineering application.
- 【文献出处】 复合材料学报 ,Acta Materiae Compositae Sinica , 编辑部邮箱 ,1986年01期
- 【被引频次】4
- 【下载频次】142