神经网络在自由曲线插补中的应用研究
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摘要
针对NURBS曲线插补中求导误差大、计算复杂等问题,提出了采用RBF神经网络对自由曲线进行插补的方法;并以弓高误差为约束条件,建立一个进给步长可变的神经网络数控插补模型。另外根据曲线曲率的变化规律找出插补过程中的速度敏感点,在到达该速度敏感点之前将速度降低到指定值,从而进行有效的速度规划。最后在MATLAB平台上进行仿真实验,结果表明,该模型结构简单、计算量小、插补精度高,能够在保证加工效率和加工质量的同时降低柔性冲击。
In order to solve the problem of large error derivation and complex calculation in NURBS curve interpolation,the method of interpolating free curves by using RBF neural network is proposed. And a neural network numerical control interpolation model with variable feed step is established by using the bow height error as the constraint condition. In addition,the velocity sensitive point in the interpolation process is found out according to the change law of curvilinear curvature,and the speed is reduced to the specified value before reaching the speed sensitive point,thus the effective speed planning is carried out. Finally,the simulation experiment on the MATLAB platform shows that the model has the advantages of simple structure,small calculation and high interpolation precision accuracy,which can reduce the flexible impact while ensuring the processing efficiency and quality.
In order to solve the problem of large error derivation and complex calculation in NURBS curve interpolation,the method of interpolating free curves by using RBF neural network is proposed. And a neural network numerical control interpolation model with variable feed step is established by using the bow height error as the constraint condition. In addition,the velocity sensitive point in the interpolation process is found out according to the change law of curvilinear curvature,and the speed is reduced to the specified value before reaching the speed sensitive point,thus the effective speed planning is carried out. Finally,the simulation experiment on the MATLAB platform shows that the model has the advantages of simple structure,small calculation and high interpolation precision accuracy,which can reduce the flexible impact while ensuring the processing efficiency and quality.
引文
[1]周永情,李德明,孙军伟,等.自由曲线轮廓数控刀具路径生成及加工[J].组合机床与自动化加工技术,2013(1):106-108.
[2]邬再新,王凯,王连波,等.基于神经网络的自由曲线插补研究[J].制造技术与机床,2007,34(9):60-62.
[3]ZHOU J F,SUN Y W,GUO D G. Adaptive feed-rate interpo-lation with multiconstrain-ts for five-axis parametric toolpath[J]. International Journal of Advanced Manu-facturing Tech-nology,2014,71(9-12):1873-1882.
[4]LIU Y,LIU J,DENG Z L. A study of dynami-cs of feedratesystem-based interpolat-or for NURBS curve[J]. Internation-al Jo-urnal of Computer Applications in Tech-nology,2011,41(1/2):117-124.
[5]赵平,胡韶华,汪女辉. NURBS曲线插补在数控加工中的应用研究[J].机械设计与制造,2016(5):167-170.
[6]王允森,杨东升,刘荫忠,等. NURBS插补中的速度规划与参数计算[J].计算机集成制造系统,2014,20(8):1896-1902.
[7]梁盈富,张宇鑫,罗枚,等. NURBS插补算法在自由曲线插补中的研究与应用[J].精密制造与自动化,2017(2):16-18.
[8]王立松,刘胜利,陈明君,等.基于三层前向神经网络的抛物线轮廓插补[J].制造技术与机床,2001(3):23-24.
[9]罗亮,高敏,黄正良,等. B样条曲线柔性加减速前瞻控制算法的研究[J].机械设计与制造,2017(9):254-256,260.
[10]刘筱,吴文江,郑飂默.柔性S型加减速控制算法研究[J].组合机床与自动化加工技术,2014(3):66-68.
[2]邬再新,王凯,王连波,等.基于神经网络的自由曲线插补研究[J].制造技术与机床,2007,34(9):60-62.
[3]ZHOU J F,SUN Y W,GUO D G. Adaptive feed-rate interpo-lation with multiconstrain-ts for five-axis parametric toolpath[J]. International Journal of Advanced Manu-facturing Tech-nology,2014,71(9-12):1873-1882.
[4]LIU Y,LIU J,DENG Z L. A study of dynami-cs of feedratesystem-based interpolat-or for NURBS curve[J]. Internation-al Jo-urnal of Computer Applications in Tech-nology,2011,41(1/2):117-124.
[5]赵平,胡韶华,汪女辉. NURBS曲线插补在数控加工中的应用研究[J].机械设计与制造,2016(5):167-170.
[6]王允森,杨东升,刘荫忠,等. NURBS插补中的速度规划与参数计算[J].计算机集成制造系统,2014,20(8):1896-1902.
[7]梁盈富,张宇鑫,罗枚,等. NURBS插补算法在自由曲线插补中的研究与应用[J].精密制造与自动化,2017(2):16-18.
[8]王立松,刘胜利,陈明君,等.基于三层前向神经网络的抛物线轮廓插补[J].制造技术与机床,2001(3):23-24.
[9]罗亮,高敏,黄正良,等. B样条曲线柔性加减速前瞻控制算法的研究[J].机械设计与制造,2017(9):254-256,260.
[10]刘筱,吴文江,郑飂默.柔性S型加减速控制算法研究[J].组合机床与自动化加工技术,2014(3):66-68.