Smooth Trajectory Generation for Predefined Path With Pseudo Spectral Method

Zhao, Kai; Kang, Zhongjian; Guo, Xijuan

doi:10.1109/access.2020.3020297

Cited by 3 publications

(2 citation statements)

References 31 publications

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“…One is to plan the feedrate profile, and the other is to generate accurate interpolation positions for each sampling time. So far, many efficient algorithms have been proposed for acquiring accurate interpolation positions according to a specified feedrate [3][4][5] or based on finite impulse response (FIR) filtering [6,7]. Especially the FIR filtering-based algorithm can realize the real-time interpolation.…”

Section: Introductionmentioning

confidence: 99%

Novel Feedrate Optimization Method for NURBS Tool Paths Under Various Constraints

Chen

2022

IEEE Access

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A good feedrate profile for NURBS tool paths should be able to consider both machining efficiency and motion limits. In other words, the feedrate profile can lead to the machining time as small as possible and can satisfy various path and axis motion constraints. However, owing to the complicated relationship between trajectory motion and axes, it is difficult and time-consuming to check axis motion constraints (e.g., axis velocity, axis acceleration, axis jerk). In addition, the path length is not easy to calculate, so the machining time cannot be accurately estimated. This paper presents a feedrate profile planning method that can easily include, delete or organize the constraints and minimize the machining time for NURBS tool paths. The key idea is to use the same parameter u to represent both NURBS tool path and feedrate profile. When designing the feedrate profile with u, an analytical form of machining time can be obtained, and the constraints are converted into functions of u (including feedrate, tangential acceleration, tangential jerk, axis velocity, axis acceleration, axis jerk, chord error, and centripetal acceleration), which can be quickly checked. Particle swam optimization algorithm is employed to eliminate the solutions with long machining time or do not meet the constraints, and gradually optimize the feedrate profile. In the simulation, a star-shaped NURBS curve is selected to demonstrate the effectiveness of the proposed method. The results show that the proposed method can achieve not only smooth and high-speed machining under various constraints, but also high accuracy with the minimization of position error at the final interpolation point.INDEX TERMS CNC machine tool, feedrate profile optimization, non-uniform rational B-spline (NURBS) interpolation, particle swarm optimization ''

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Section: Introductionmentioning

confidence: 99%

Novel Feedrate Optimization Method for NURBS Tool Paths Under Various Constraints

Chen

2022

IEEE Access

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“…Annoni et al [20] considered the constraints on feedrate scheduling with chord error, acceleration, and jerking motion along a NURBS tool path. Zhao et al [21] realized jerk limited feedrate scheduling under confined sampling error. In addition, feedrate profiles composed of S-curves [22] and bell-curves [23] have been used to meet acceleration and jerk limits along a path.…”

Section: Introductionmentioning

confidence: 99%

Real-Time Local Optimal Bézier Corner Smoothing for CNC Machine Tools

Lu¹,

Chen

2021

IEEE Access

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A straight line or G01 is the most common path in computer numerical control (CNC) contour machining. However, non-smooth corners introduce discontinuous movement along each axis during machining. The commonly used strategy is to redesign a corner into a smooth corner path. Therefore, optimal corner smoothing should simultaneously find an optimal corner path and a corner speed that satisfied the axis motion limits. To achieve this goal, we use particle swarm optimization (PSO) to find the optimal Bézier curve and the optimal corner speed, then convert the axis constraints into polynomial inequalities and use fitness selection to deal with axis acceleration and jerk limits. For real-time operation, we establish a look-up table with the optimal corner speed and corner path models for use by a CNC controller. In the experiment, the YCM NXV560A vertical machining center was used to conduct a real machining test on a Taiwan contour, and the feasibility of the controller to generate the optimal corner strategy for various linear paths was verified.INDEX TERMS Bézier corner curve, CNC machine tool, corner smoothing, particle swarm optimization (PSO)

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Smooth trajectory generation based on contour error constraint and parameter correction b-spline

Zhao

Kang

et al. 2022

Int J Adv Manuf Technol

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Smooth Trajectory Generation for Predefined Path With Pseudo Spectral Method

Cited by 3 publications

References 31 publications

Novel Feedrate Optimization Method for NURBS Tool Paths Under Various Constraints

Novel Feedrate Optimization Method for NURBS Tool Paths Under Various Constraints

Real-Time Local Optimal Bézier Corner Smoothing for CNC Machine Tools

Smooth trajectory generation based on contour error constraint and parameter correction b-spline

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