A newly developed corner smoothing methodology based on clothoid splines for high speed machine tools

Huang, Xiaoyong; Zhao, Fei; Tao, Tao; Mei, Xuesong

doi:10.1016/j.rcim.2020.102106

Cited by 31 publications

(17 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Contrary to KLCS approaches proposed in [21], [33], [35], [36], [38], [39], [56], that achieve near time optimality, where motions at each smooth corner and linear segment are computed separately, the proposed approach generates Pareto optimal motions for the entire smoothed path. This contrast allows the proposed method to have better results in accuracy and cycle time while KCSIA produces a dominated solution as shown in Figs.…”

Section: Discussionmentioning

confidence: 98%

“…Finite impulse response-based kinematic local corner smoothing have been proposed for reducing time and vibrations [35], [36]. Kinematic local corner smoothing approaches using clothoids [37]- [39] and asymmetrical double constant-jerk cornering profiles [21] have been proposed for improving cycle time. Regarding CNC machining, there are several different cases of requirements for surface quality and cycle time: high-accuracy case, high-speed case with a certain accuracy level and a time-fixed case.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Pareto Optimization of Cycle Time and Motion Accuracy in Trajectory Planning for Industrial Feed Drive Systems

Nshama

Uchiyama

2021

IEEE Access

View full text Add to dashboard Cite

Manufacturing industries aim to improve product quantity and quality. These trade-off objectives are typically manifested as cycle time reduction and motion accuracy improvement. Corner smoothing approaches that reduce the cycle time of piecewise linear trajectories are proposed in the literature. This study tackles the two objectives by Pareto-optimal corner smoothing with constraints imposed as kinematic limits, continuity conditions and user-specified cornering tolerance. Linear and cornering motions along a contour are respectively described by jerk-limited acceleration profiles and a modified kinematic corner smoothing with interrupted acceleration (KCSIA) approach. A Pareto frontier is generated by the divide and conquer algorithm with the best trade-off solution selected as the one closest to the utopia point. The effectiveness of the proposed method is validated through experiments, where the best trade-off solution reduces the maximum and average contouring errors by 47.53 % and 25.40 % while it increases cycle time by 2.53 % compared to KCSIA.

show abstract

Section: Discussionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Pareto Optimization of Cycle Time and Motion Accuracy in Trajectory Planning for Industrial Feed Drive Systems

Nshama

Uchiyama

2021

IEEE Access

View full text Add to dashboard Cite

show abstract

“…Although B-spline and Bezier spline can smooth the toolpath, their arc lengths have no analytical solutions with spline parameters, which make it difficult to calculate the next parameter in the fine interpolation. To overcome this problem, the clothoid spline based methods [24][25][26][27][28][29] and Pythagorean-hodograph (PH) spline based methods [5,[30][31][32][33][34][35][36] have been developed. Shahzadeh et al [26] usesd biclothoid fillets as transition curves to smooth the corners and ensure the 𝐺 2 continuity of the toolpath.…”

Section: Introductionmentioning

confidence: 99%

“…Huang et al [28] proposed a novel curve ''airthoid'' based on clothoid spline, then the biairthoid was involved to smooth the corners of the tool position in the WCS and the corners of the tool orientation in the MCS. In [29], a novel smoothing method based on a pair of clothoid splines was proposed to realize the integral planning of the geometrical curve and the feedrate profile, which can achieve the adaptive contour accuracy. Since the clothoid is defined with respect to the Fresnel integral, which can not be calculated analytically, these methods can only be carried out off-line.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Asymmetrical pythagorean-hodograph spline-based C4 continuous local corner smoothing method with jerk continuous feedrate scheduling along linear toolpath

Jiang

Huo

et al. 2021

Preprint

View full text Add to dashboard Cite

In computer numerical control systems, linear segments, which are generated by computer-aided manufacturing software, are the most widely used toolpath format. Since the linear toolpath is discontinuous at the junction of two adjacent segments, the fluctuations on velocity, acceleration and jerk are inevitable. Local corner smoothing is widely used to address this problem. However, most existing methods use symmetrical splines to smooth the corners. When any one of the linear segments at the corner is short, to avoid overlap, the inserted spline will be micro, thereby increasing the curvature extreme of the spline and reducing the feedrate along it. In this article, the corners are smoothed by a 𝐶4 continuous asymmetric Pythagorean-hodograph (PH) spline. The curvature extreme of the proposed spline is investigated first, and 𝐾=2.5 is determined as the threshold to constarin the asymmetry of the spline. Then a two-step strategy is used to generate a blended toolpath composed of asymmetric PH splines and linear segments. In the first step, the PH splines at the corners are generated under the premise that the transition lengths do not exceed half of the length of the linear segments. In the second step, the splines at the corners are re-planned to reduce the curvature extremes, if the transition error does not reach the given threshold and there are extra linear trajectories on both sides of the spline trajectory. Finally, the bilinear interpolation method is applied to determine the critical points of the smoothed toolpath, and a jerk-continuous feedrate scheduling scheme is presented to interpolate the smoothed toolpath. Simulations show that, under the condition of not affecting the machining quality, the proposed method can improve the machining efficiency by 7.84% to 23.98% compared to 𝐺3 and 𝐺4 methods.

show abstract

Time-optimal feedrate scheduling with actuator constraints for 5-axis machining

Kornmaneesang

Chen

2022

Int J Adv Manuf Technol

View full text Add to dashboard Cite

Cycle time minimization is one of the major goals that many manufacturers are eager to achieve. Maximizing feedrate is the direct solution, however, physical motions need to be under the specified motion limits to avoid high-frequency vibration, causing machining error. In this paper, a time-optimal feedrate scheduling approach for 5-axis G1 toolpath is presented for 5-axis machining. A quintic B-spline corner smoothing method is utilized to smoothen sharp corners in the toolpath. Then, the S-shape feedrate profile of each block is optimized under the actuator motion constraints, with the objective of minimizing the cycle time. Particle swarm optimization (PSO) is used to provide the optimized solution. Experiments are conducted to validate the proposed approach and the results are compared with two other existing approaches. It is found that the proposed method can achieve shorter cycle time and less contour errors, showing the effectiveness of the proposed approach.

show abstract

A newly developed corner smoothing methodology based on clothoid splines for high speed machine tools

Cited by 31 publications

References 48 publications

Pareto Optimization of Cycle Time and Motion Accuracy in Trajectory Planning for Industrial Feed Drive Systems

Pareto Optimization of Cycle Time and Motion Accuracy in Trajectory Planning for Industrial Feed Drive Systems

Asymmetrical pythagorean-hodograph spline-based C4 continuous local corner smoothing method with jerk continuous feedrate scheduling along linear toolpath

Time-optimal feedrate scheduling with actuator constraints for 5-axis machining

Contact Info

Product

Resources

About