管道曲面构件自动铺丝路径规划

提出了一种基于管道曲面广义螺旋线的铺丝路径生成算法,把芯模曲面的铺丝路径规划问题转化为求解该曲面上的广义螺旋线。利用管道曲面广义螺旋线算法,通过求解初值问题的一阶常微分方程组就可得到精确的位于芯模面上的铺丝路径。该算法具体计算可以利用功能强大的计算软件Matlab中的ODE45函数,该函数是基于自适应的4-5阶龙格-库塔算法,因而可构造具有相对误差以及绝对误差的控制机制的铺丝路径。经过算例验证,该算法操作简单,精度能够满足铺丝技术工艺要求。

Fiber Placement Path Planning for Canal Surface Component

A novel path generation algorithm for fiber placement is presented based on the generalized helical line
on canal surface. Here the problem of path planning on the mould surface is transformed into the solution on generalized
helical line. With this algorithm, the accurate generalized helical line is obtained by numerically solving the initialval
ue problems for a system of first order ordinary differential equations. The new algorithm can be solved by ODE45 func
tion of powerful Matlab based on adaptive 45 order Runge-Kutta algorithm. So the constructed fiber placement path has
control mechanism for absolute and relative error. The practical examples indicate that this algorithm is easy to operate
and the precision requirements of automatic fiber placement are easily satisfied.