凹回转曲面纤维缠绕架空分析及应用

Fiber bridge analysis in filament winding of concave revolution surface and its application

针对诸如带喷管固体火箭发动机的凹曲面过渡段等负高斯曲率面的缠绕,应用微分几何曲面理论推导出了凹回转曲面的纤维缠绕架空条件及判据,并对不同的过渡段曲线进行了分析,分别给出了判别公式。通过缠绕实验验证了架空判据的正确性和实用性,表明采用单叶双曲面比采用凹圆曲线回转曲面具有更好的缠绕工艺性,且其直纹线的缠绕角恰好为不架空的临界缠绕角;缠绕时,为了保证运动的平稳性,需要剔除奇异点,进行平滑处理。

For the filament winding of negative Gaussian curvature surface such as transition section between shell and nozzle of solid rocket engine, the general criterion for fiber bridge on concave revolution surface winding was derived based on differential geometry theory. The winding path on several transition section surface was discussed. An experiment demonstrated the correctness and practicability of the criteria. It is shown that the winding path on uniparted hyperboloid is steadier than on concave ring surface and the winding angle on ruled surface is just the critical angle of no bridge. For smooth motion the hypervelocity point canceling and data-filtering are needed.