计算机集成制造系统 ›› 2025, Vol. 31 ›› Issue (12): 4459-4480.DOI: 10.13196/j.cims.2024.0677

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基于速度规划混合的局部非对称平滑过渡方法

王太勇1,2,葛璐1+,董靖川1,王万金1,曹培玉1   

  1. 1.天津大学机械工程学院
    2.天津仁爱学院机械与动力工程学院
  • 出版日期:2025-12-31 发布日期:2026-01-07
  • 作者简介:
    王太勇(1962-),男,山西长治人,教授,博士,博士生导师,研究方向:数控技术与数字化制造、智能诊断与动态测控技术、机械动力学、企业信息化技术等,E-mail:tywang@tju.edu.cn;

    +葛璐(2000-),女,河北邢台人,硕士研究生,研究方向:数控系统下位机速度规划、插补算法等,通讯作者,E-mail:gl_29@tju.edu.cn;

    董靖川(1983-),男,天津人,高级工程师,博士,研究方向:数控技术、智能制造等,E-mail:jcdong@tju.edu.cn;

    王万金(2000-),男,辽宁朝阳人,硕士研究生,研究方向:参数自整定、轮廓误差补偿,E-mail:wwj_2022201095@tju.edu.cn;

    曹培玉(2000-),男,河北沧州人,硕士研究生,研究方向:数控机床、几何误差补偿等,E-mail:peiyu_cao1217@163.com。
  • 通讯作者简介:葛璐(2000-),女,河北邢台人,硕士研究生,研究方向:数控系统下位机速度规划、插补算法等,通讯作者,E-mail:gl_29@tju.edu.cn
  • 基金资助:
    国家重点研发计划资助项目(2022YFB3303601);天津市科学技术局资助项目(23YDPYGX00210)。

Local asymmetrical smoothing transition method based on feedrate planning blending algorithm

WANG Taiyong1,2,GE Lu1+,DONG Jingchuan1,WANG Wanjin1,CAO Peiyu1   

  1. 1.School of Mechanical Engineering,Tianjin University
    2.School of Mechanical and Power Engineering,Tianjin Ren'ai College
  • Online:2025-12-31 Published:2026-01-07
  • Supported by:
    Project supported by the National Key R&D Program,China(No.2022YFB3303601),and the Tianjin Municipal Science and Technology Bureau,China(No.23YDPYGX00210).

摘要: 针对数控加工中广泛使用的 G01 指令在线段连接处进给速度不连续的问题,通常围绕拐角平分线构建一个平滑对称的过渡轮廓以减小速度波动,但这种方法效率较低。为了充分利用机床的能力,提出了一种基于速度规划混合的局部非对称平滑过渡方法。首先,设计了一种七段式非对称S型加减速及速度规划算法,该方法可生成平滑的速度曲线。然后,建立了运动学约束下的时间优化模型,并计算出相应的运动学参数;建立了几何误差约束下的过渡时间模型,确定了相邻线段速度规划的混合时间。其中,解析计算了非对称过渡轮廓下的拐角几何误差,并证明了过渡过程中误差的变化过程,定义了最大几何误差。最后,对拐角处相邻线段的速度规划进行混合并完成实时插补。实验结果表明,生成的运动学轮廓满足了机床相应的约束条件,实现了拐角平滑过渡,且充分发挥了机床的加工能力,提高了加工效率。

关键词: 局部非对称平滑过渡, 速度规划混合, 运动学约束, 几何误差约束

Abstract: Aiming at the problem of discontinuous feedrate at the junctions of line segments for the widely used G01 command in CNC machining,a symmetrical smooth transition profile is usually constructed around the corner bisector to reduce the feedrate fluctuation,but this method is relatively inefficient.To fully utilize the capacity of the machine tool,a local asymmetrical smoothing transition method based on feedrate blending was proposed.A seven-phase asymmetrical S-shape acceleration and deceleration and feedrate planning algorithm were designed,which generated a smooth feedrate curve.Then,a time optimization model under kinematic constraints was developed and the kinematic parameters were calculated accordingly.A transition time model based on geometric error constraints was developed,in which the corner geometric error was calculated analytically,the changing process of the error during the transition was proved,and the maximum error was defined.Finally,the blending of the feedrate profile of adjacent line segments at the corner was done before real-time interpolation along the planned trajectory.The experimental results showed that the generated motion profile respected the corresponding constraints of the machine tool,realized the smoothing transition of the corner of the machine tool and improved the machining efficiency.

Key words: local asymmetrical smoothing transition, feedrate planning blending, kinematic constraints, geometric error constraints

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