连续小线段局部光顺插补算法

连续小线段是目前国内机床加工最常用的刀具路径形式，针对连续小线段路径的不连续性造成的机床速度、加速度剧烈波动，笔者提出了新的局部光顺算法。首先运用有理Bezier曲线对小线段连接处进行光顺插补和光顺转接，实现了过渡光顺的G3连续；然后运用生成的新的刀具路径，考虑弓高误差和近似误差的影响，建立误差分配模型；综合考虑2种误差影响的情况，根据机床法向加速度等约束进行速度插补。仿真验证表明误差分配模型能更好地保证综合误差不超过给定精度。模型具有有效性。

Local Interpolation Method for Continuous Small Line Segments

Continuous small line is the most commonly used machining tool path. In this paper, a new local smoothing interpolation method was proposed to solve the violent wave of speed and acceleration, caused by discontinuity of continuous small line segments. We first used rational Bezier curve to smooth the small line segments and realize the G3continuous. Then, the error distribution model was established by using the new tool path, considering the influences of chord error and approximate error. Considering the influences of this two kinds of errors, the velocity interpolation was carried out according to normal acceleration of the machine tool. Finally, the simulation results show that error distribution model can better guarantee the integrated error not exceed the given accuracy. The model is valid.