A real-time and look-ahead interpolation algorithm with axial jerk-smooth transition scheme for computer numerical control machining of micro-line segments

Li, Hao; Wu, Wei; Rastegar, J.; Guo, An

doi:10.1177/0954405418809768

Cited by 13 publications

(29 citation statements)

References 25 publications

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“…The approximation error ε is 1 mm, and the number of line segments k in each window is 5. The maximum feedrate, the maximum acceleration, and the maximum jerk are 0.05, 0.001, 2 and 0.001 mm/ms, 3 respectively. First, with the smoothing module, a smooth tool path, composed of the solid blue lines and the dotted red lines in Figure 7(b), is generated.…”

Section: Real-time Interpolation Experimentsmentioning

confidence: 98%

“…where a is a constant value. When e or R is given, a transition curve C(u) can be determined by equation (2). As shown in Figure 1, the whole tool path is smoothed by using the curve, so the feedrate fluctuations are effectively avoided.…”

Section: Principles Of a Quintic Bé Zier Transition Curve And A Parammentioning

confidence: 99%

“…To overcome the frequent acceleration and deceleration, a transition method by using a curve to transit line segments is commonly utilized. 2 With this method, a smooth tool path with curvature continuity is achieved. Then, an acceleration/deceleration (ACC/ DEC) scheduling 3 and a look ahead scheme 4 are implemented simultaneously to generate the corresponding feedrate profile in real time.…”

Section: Introductionmentioning

confidence: 99%

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A real-time predictor-modification-evaluation–corrector-modification-evaluation parametric interpolator for numerical control transition curves

Liu

Wang

2019

Proceedings of the Institution of Mechanical Engineers, Part B:

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A real-time parametric interpolator based on a predictor-modification-evaluation–corrector-modification-evaluation algorithm is proposed in this article, which is utilized to efficiently calculate the reference points of transition curves. Meanwhile, the stable calculation is guaranteed by analyzing the convergence condition of the predictor-modification-evaluation–corrector-modification-evaluation algorithm. Under the convergence condition, the proposed parametric interpolator and traditional line interpolators are simultaneously implemented to interpolate a two-dimensional butterfly path, which consists of quintic Bézier transition curves and line segments. Simulation and experiments are carried out, and the results demonstrate that the proposed real-time predictor-modification-evaluation–corrector-modification-evaluation parametric interpolator achieves the highest accuracy and the light stripe on the tool path is further reduced and hardly observed. Compared with other parametric interpolators, the proposed real-time predictor-modification-evaluation–corrector-modification-evaluation parametric interpolator is capable of achieving a good balance between interpolation accuracy and interpolation efficiency.

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Section: Real-time Interpolation Experimentsmentioning

confidence: 98%

Section: Principles Of a Quintic Bé Zier Transition Curve And A Parammentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A real-time predictor-modification-evaluation–corrector-modification-evaluation parametric interpolator for numerical control transition curves

Liu

Wang

2019

Proceedings of the Institution of Mechanical Engineers, Part B:

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“…Scheduling of the appropriate feedrate is acknowledged as one of the most important tasks in computer numerical control (CNC) machining to achieve favorable machining quality and efficiency. 1–3 This is because of the fact that too low feedrate results in inefficiency feed motion, while too high feedrate may lead to the axial drive limitations being exceeded, which not only goes against the machining quality but also makes damage to the machine tools possibly. 4 One can schedule constant feedrate with initial launching and final braking for routine linear or circular toolpaths, while for free-form spline toolpaths, it is no longer suitable because the variable geometry within one spline toolpath requires different axial drive capabilities.…”

Section: Introductionmentioning

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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“…The trajectory error of the transitional curve is deduced according to the constraints of control points. Li et al 9 proposed a real-time and look-ahead interpolation algorithm for machining of micro-line segments under the chord error and drive axes constraints. Tajima and Sencer 10 controlled the contouring errors at sharp corner of the linear segmented toolpath by interpolating axis velocity and accelerations accurately from the start 1 to the end of the corner.…”

Section: Introductionmentioning

confidence: 99%

Geometric deviation reduction method for interpolated toolpath in five-axis flank milling of the S-shaped test piece

Wang

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part B:

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Geometric deviation, defined as the distance between the designed surface and the machined surface, is an important component of machining errors in five-axis flank milling of the S-shaped test piece. Since the interpolated toolpath in practical machining process is the approximation of the theoretical toolpath, the geometric deviation caused by the interpolated toolpath appears. To overcome this problem, a novel geometric deviation reduction method is suggested in this study. First, the features of the S-shaped test piece are analyzed. Second, the theoretical toolpath is generated according to the designed surface and the cutter location data is obtained by discretizing the theoretical toolpath. The linear interpolation of the cutter location data is carried out to obtain the interpolated toolpath. Then, the geometric deviation is modeled by calculating the Hausdorff distance between the tool axis trajectory surface based on the interpolated toolpath and the offset surface of the designed surface. Finally, the geometric deviation is reduced by optimizing the cutter location data without inserting more cutter location points. The machining experiment is conducted to verify the effectiveness of the proposed method. The experimental results agree with the simulation results, and both of them indicate the geometric deviation on the machined surface reduces after optimization.

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A real-time and look-ahead interpolation algorithm with axial jerk-smooth transition scheme for computer numerical control machining of micro-line segments

Cited by 13 publications

References 25 publications

A real-time predictor-modification-evaluation–corrector-modification-evaluation parametric interpolator for numerical control transition curves

A real-time predictor-modification-evaluation–corrector-modification-evaluation parametric interpolator for numerical control transition curves

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

Geometric deviation reduction method for interpolated toolpath in five-axis flank milling of the S-shaped test piece

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