Nanoscale trajectory planning with flexible Acc/Dec and look-ahead method

Qiao, Zhifeng; Liu, Zhenzhong; Wang, Tao; Hu, Miao

doi:10.1007/s00170-015-6911-y

Cited by 12 publications

(3 citation statements)

References 10 publications

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“…Generally, jerk-continues polynomial feed profile include 15 phases [26]. Furthermore, Wei et al proposed a jerk-smooth feed rate profile in which whole process is divided into 31 phases [27].…”

Section: Introductionmentioning

confidence: 99%

A novel feedrate scheduling method based on Sigmoid function with chord error and kinematic constraints

Jiang

Huo

et al. 2021

Int J Adv Manuf Technol

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In high speed CNC (Compute Numerical Control) machining, the feed rate scheduling has played an important role to ensure machining quality and machining efficiency. In this paper, a novel feed rate scheduling method is proposed for generating smooth feed rate profile conveniently with the consideration of both geometric error and kinematic error. First, a relationship between feed rate value and chord error is applied to determine the feed rate curve. Then, breaking points, which can split whole curve into several blocks, can be found out using proposed two step screening method. For every block, a feed rate profile based on the Sigmoid function is generated. With the consideration of kinematic limitation and machining efficiency, a time-optimal feed rate adjustment algorithm is proposed to further adjust feed rate value at breaking points. After planning feed rate profile for each block, all blocks feed rate profile will be connected smoothly. The resulting feed rate profile is more concise compared with the polynomial profile and more efficient compared with the trigonometric profile. Finally, simulations with two free-form NURBS curves are conducted and comparison with the sine-curve method are carried out to verify the feasibility and applicability of the proposed method.

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Section: Introductionmentioning

confidence: 99%

A novel feedrate scheduling method based on Sigmoid function with chord error and kinematic constraints

Jiang

Huo

et al. 2021

Int J Adv Manuf Technol

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“…The formulas of the AD feedrate profile are well studied, and one can easily construct an AD feedrate profile following the ideas in previous studies. 2,10,12,15,18,19 However, the feedrate profile for the whole tool path usually consists of a sequence of AD feedrate profiles splitted by the so-called critical/break points. For multiple profiles, the start and end feedrates of each AD feedrate profile must be thoroughly handled to avoid feedrate discontinuity at the junction of two adjacent profiles.…”

Section: Introductionmentioning

confidence: 99%

Parallel acceleration/deceleration feedrate scheduling for computer numerical control machine tools based on bi-directional scanning technique

Huang

Zhu

2017

Proceedings of the Institution of Mechanical Engineers, Part B:

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The acceleration/deceleration feedrate scheduling is one of the most important techniques in computer numerical control systems. Along with this technique, the bi-directional scanning technique is always employed. The bi-directional scanning technique consists of a backward scanning process followed by a forward scanning process. The two scanning processes in the conventional methods are executed in a serial manner by scanning through all the scheduling blocks one by one. Consequently, the feedrate scheduling will suffer from a heavy computational burden when there are massive blocks to be scanned, which deteriorates its real-time performance for computer numerical control machining. To alleviate the computational burden, a parallel acceleration/deceleration feedrate scheduling approach is proposed in this article. With this method, the scheduling blocks are splitted into several scheduling units and the feedrate for each of them is scheduled simultaneously. The feasibility of the proposed approach is validated through the feedrate scheduling for two widely used butterfly and helix paths. For a constructed example of feedrate scheduling, a significant acceleration ratio about 3.7 on a personal computer with a quad-core central processing unit is achieved.

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“…With the polynomial profile, the process of the feedrate scheduling becomes complicated and the expression of the profile becomes cumbersome for a smoother profile. A piecewise velocity function with seven sub-functions 25 was needed to describe an acceleration phase with trapezoidal jerk as illustrated in Figure 1(a). Moreover, four kinds of acceleration profiles were developed for different conditions.…”

Section: Introductionmentioning

confidence: 99%

Feedrate scheduling for interpolation of parametric tool path using the sine series representation of jerk profile

Huang

Zhu

2016

Proceedings of the Institution of Mechanical Engineers, Part B:

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This article proposes the sine series representation of jerk profile for acceleration/deceleration feedrate scheduling of parametric interpolator used in computer numerical control machining tools. By selecting the geometric sequence as the coefficients of the sine series, the closed-form expressions of the feedrate, acceleration and jerk profiles are obtained. The resulting feedrate profile is more concise compared with the polynomial profile and more efficient compared with the trigonometric profile. It can be well accepted by the conventional acceleration/deceleration feedrate scheduling algorithms. Also, an approach is proposed to determine the optimal geometric sequence that makes the tracking time as small as possible. Simulations and experiments of tracking complex contours expressed as free-form non-uniform rational B-spline curves are conducted. The results demonstrate the effectiveness of the proposed feedrate profile and the resulting feedrate scheduling strategy.

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Nanoscale trajectory planning with flexible Acc/Dec and look-ahead method

Cited by 12 publications

References 10 publications

A novel feedrate scheduling method based on Sigmoid function with chord error and kinematic constraints

A novel feedrate scheduling method based on Sigmoid function with chord error and kinematic constraints

Parallel acceleration/deceleration feedrate scheduling for computer numerical control machine tools based on bi-directional scanning technique

Feedrate scheduling for interpolation of parametric tool path using the sine series representation of jerk profile

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