A Bidirectional Adaptive Feedrate Scheduling Method of NURBS Interpolation Based on S-Shaped ACC/DEC Algorithm

Ni, Hepeng; Zhang, Chengrui; Ji, Shuai; Hu, Tianliang; Chen, Qizhi; Liu, Yanan; Wang, Gongcheng

doi:10.1109/access.2018.2875403

Cited by 31 publications

(18 citation statements)

References 38 publications

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“…The ∞ shape, trident shape, and butterfly shape graphics [15]- [16], represented as NURBS graphs in Figures 7(a .9639, 0.9850,0.9917,1.0,1.0,1.0,1.0 weight 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7, 0.7 degree 3 This study performs three experiments, and the results were in comparison with the methods proposed by Luan et al [9], Yeh and Hsu [10], and Giannelli et al [11]. To performing suitable comparisons, the maximum feedrate in the present study is adjusted to the maximum feedrate proposed by scholars.…”

Section: Resultsmentioning

confidence: 99%

Using Fuzzy Control for Feedrate Scheduling of Computer Numerical Control Machine Tools

Lin

Wang

2021

Preprint

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In industrial processing, workpiece quality and processing time have become important issues lately. Fortunately, dynamic cutting feedrate scheduling has been proposed to improve machining accuracy and decrease cutting time. Studies have shown that the curvature and cutting feedrate significantly influence the machining accuracy. Therefore, the present study proposes a fuzzy control system for feedrate scheduling based on the curvature and curvature variation. The proposed system is implemented in actual cutting, and an optical three-dimensional scanner is performed as a verification to measure the cutting trajectory of the workpiece. Experimental results prove that the proposed fuzzy control system for dynamic cutting feedrate scheduling increases the cutting accuracy by 43% under the same cutting time; moreover, it decreases the cutting time by 49% under the same cutting accuracy.

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Section: Resultsmentioning

confidence: 99%

Using Fuzzy Control for Feedrate Scheduling of Computer Numerical Control Machine Tools

Lin

Wang

2021

Preprint

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“…At the very beginning, the S-shape acceleration/deceleration principle which is also utilized by Ni et al, 21 is introduced briefly here because it is utilized in the subsequent feedrate scheduling procedures. A whole S-shape feedrate profile is illustrated in Figure 1, where v start and v end means the start and end velocities, respectively; a t ,max and j t ,max means the maximum tangential acceleration and jerk limitations; t 1 , t 2 , and t 3 are calculated as…”

Section: Interval Adaptive Feedrate Scheduling Based On a Look-ahead mentioning

confidence: 99%

Look-ahead-window-based interval adaptive feedrate scheduling for long five-axis spline toolpaths under axial drive constraints

Song

Zhong

2020

Proceedings of the Institution of Mechanical Engineers, Part B:

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Scheduling of the five-axis spline toolpath feedrate is of great significance for high-quality and high-efficiency machining using five-axis machine tools. Due to the fact that there exists nonlinear relationship between the Cartesian space of the cutting tool and the joint space of the five feed axes, it is a challenging task to schedule the five-axis feedrate under axial drive constraints. Most existing methods are researched for routine short spline toolpaths, however, the five-axis feedrate scheduling method expressed for long spline toolpaths is limited. This article proposes an interval adaptive feedrate scheduling method based on a dynamic moving look-ahead window, so as to generate smooth feedrate for long five-axis toolpath in a piecewise manner without using the integral toolpath geometry. First, the length of the look-ahead window which equals to that of the toolpath interval is determined in case of abrupt braking at the end of the toolpath. Then, the interval permissible tangential feed parameters in terms of the velocity, acceleration, and jerk are determined according to the axial drive constraints at each toolpath interval. At the same time, the end velocity of the current interval is obtained through looking ahead the next interval. Using the start and end velocities and the permissible feed parameters of each interval, the five-axis motion feedrate is scheduled via an interval adaptive manner. Thus, the feedrate scheduling task for long five-axis toolpath is partitioned into a series of extremely short toolpaths, which realizes the efficient scheduling of long spline toolpath feedrate. Experimental results on two representative five-axis spline toolpaths demonstrate the feasibility of the proposed approach, especially for long toolpaths.

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“…On the other hand, the duration of the jerk stage must be divided by four times the acceleration phase T acc to ensure an S-curve velocity profile equal in length of acceleration, maximum velocity and deceleration stages, the proportional value was ϕ = 1 4 , so that the jerk was going to remain zero for T jerk = 2 4 T acc . The constant velocity stage had a duration of 2 10 T. The total distribution of the duration is computed in (17).…”

Section: S-curve Velocity Profile Parametersmentioning

confidence: 99%

“…A second-degree polynomial describes the transition of the position making accessible the implementation in an embedded system due to the low level of processing [15,16]. On the other hand, the seven-segment velocity profile, known as the S-curve velocity profile, has been studied broadly in recent years obtaining better results than other profiles because of the jerk value takes a constant amount [17], decreasing the damage produced by high-frequency vibrations in the structure of the system. The implementation in an embedded system can need a complex architecture to support the seven position's equations defined by a third-degree polynomial.…”

Section: Introductionmentioning

confidence: 99%

A New Seven-Segment Profile Algorithm for an Open Source Architecture in a Hybrid Electronic Platform

2019

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The velocity profiles are used in the design of trajectories in motion control systems. It is necessary to design smoother movements to avoid high stress in the motor. In this paper, the rate of change in acceleration value is used to develop an S-curve velocity profile which presents an acceleration and deceleration stage smoother than the trapezoidal velocity profile reducing the error at the end of the duty-cycle pre-established in one degree of freedom (DoF) application. Furthermore, a new methodology is developed to generate a seven-segment profile that works with negative velocity and displacement constraints applying an open source architecture in a hybrid electronic platform compounded by a system on a chip (SoC) Raspberry Pi 3 and a field programmable gate array (FPGA). The performance of the motion controller is measured through the comparison of the error obtained in real-time application with a trapezoidal velocity profile. As a result, a low-cost platform and an open architecture system are achieved.

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A Bidirectional Adaptive Feedrate Scheduling Method of NURBS Interpolation Based on S-Shaped ACC/DEC Algorithm

Cited by 31 publications

References 38 publications

Using Fuzzy Control for Feedrate Scheduling of Computer Numerical Control Machine Tools

Using Fuzzy Control for Feedrate Scheduling of Computer Numerical Control Machine Tools

Look-ahead-window-based interval adaptive feedrate scheduling for long five-axis spline toolpaths under axial drive constraints

A New Seven-Segment Profile Algorithm for an Open Source Architecture in a Hybrid Electronic Platform

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