等极孔球形压力容器平面缠绕规律

摘要

Based on the theory of space analytic geometry and kinematics,fiber-touched point' s locus equation of flat winding about FRP spherical pressure vessel is established. The functions of fiber-touched point' s space location, and velocity and acceleration of equal polar hole spherical pressure vessel' s flat winding at any time are deduced. Velocity in various directions and cosine value of angular separation of the fiber-touched point were solved by the analysis of doff point's winding principle. Finally,winding locus is simulated with various initial angles by software of Matlab,the effectiveness of the proposed approach is validated by the comparison results of numerical simulation and actual fiber winding style.%基于空间解析几何理论及运动学分析方法,建立复合材料球形压力容器平面缠绕落纱点轨迹运动方程,推导出等极孔球形容器表面缠绕纤维落纱点空间位置、速度以及加速度的求解函数；通过对落纱点运动规律的分析,解出空间落纱点各方向运动速度的大小及其各方向夹角余弦值.最后利用Matlab软件对不同的丝嘴运动平面倾斜角的缠绕轨迹进行模拟,通过该计算方法模拟的轨迹结果与实际球形容器缠绕线型相符合,验证了该算法的有效性.