数控系统含参Bezier基插补及前加减速算法研究

发布时间：2018-07-01 10:25

本文选题：数控系统插补 + 含参Bezier基　；参考：《江西理工大学》2017年硕士论文

【摘要】：插补技术是数控系统的核心之一,良好稳定性和高精度的插补算法有助于数控系统的应用推广。本文在分析基准脉冲插补和数据采样插补的基础上,得出基准脉冲插补适用于中、低精度,而数据采样插补适用于高精度数控系统。本文介绍了基准脉冲插补的原理,分析了逐点比较法、最小偏差法和数字分析器法等;介绍了数字采样法参数插补原理,对自由曲线插补的样条曲线插补进行分析。数据采样插补过程分为粗插补和精插补。针对粗插补过程中存在的相邻分段曲线衔接点处的突变问题,本文通过对Bezier曲线进行改进得到了基于含参数Bezier基的插补算法,通过采用含参Bezier基对微小线段进行拟合,实现了复杂零件的高精度加工。本文分析了梯形加减速算法、S型加减速和三角函数加减速优缺点,针对其存在的柔性度不足和计算复杂问题,通过采用切比雪夫多项式逼近三角函数,得到了一种基于加加速度连续的函数逼近加减速方法,解决了加工过程中的柔性冲击和计算复杂问题。通过MATLAB仿真实验,验证了本文的算法,说明了含参Bezier基插补算法和加加速度连续函数逼近算法的有效性。
[Abstract]:Interpolation technology is one of the core of CNC system. Good stability and high precision interpolation algorithm is helpful to the application of CNC system. Based on the analysis of datum pulse interpolation and data sampling interpolation, it is concluded in this paper that benchmark pulse interpolation is suitable for medium and low precision, and data sampling interpolation is suitable for high precision numerical control system. This paper introduces the principle of benchmark pulse interpolation, analyzes the point-by-point comparison method, the minimum deviation method and the digital analyzer method, and introduces the principle of parameter interpolation of digital sampling method, and analyzes the spline interpolation of free curve interpolation. The data sampling interpolation process is divided into coarse interpolation and fine interpolation. In order to solve the catastrophe problem of adjacent piecewise curve junction points in rough interpolation process, the interpolation algorithm based on parameter Bezier basis is obtained by improving the Bezier curve. The parameter Bezier basis is used to fit the small line segment. The high precision machining of complex parts is realized. This paper analyzes the merits and demerits of trapezoidal acceleration and deceleration algorithms and trigonometric functions. In view of the lack of flexibility and the complexity of calculation, Chebyshev polynomials are used to approximate trigonometric functions. A functional approximation method for acceleration and deceleration based on continuous acceleration is presented, which solves the complex problems of flexible impact and calculation in machining process. The algorithm is verified by MATLAB simulation, and the validity of the interpolation algorithm with parameter Bezier and the approximation algorithm of continuous function with acceleration is illustrated.
【学位授予单位】：江西理工大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TP391.7

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