A lightweight interpolation algorithm for short-segmented machining tool paths to realize vibration avoidance, high accuracy, and short machining time

Hayasaka, Takehiro; Minoura, Kazuaki; Ishizaki, Kousuke; Shamoto, Eiji; Sencer, Burak

doi:10.1016/j.precisioneng.2019.05.006

Cited by 12 publications

(7 citation statements)

References 16 publications

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“…The uniform radial error in circular interpolation can be compensated typically by a feed forward controller [25]. The contour error at corners can be reduced by various corner blending schemes [10][11][12][13][14][15][16][17] without explicitly applying this concept. On the other hand, in order to smooth the tool path in the workpiece coordinate system, the Acc/dec before interpolation has to be implemented, like the researches in [18][19][20][21][22].…”

Section: Improved Tool Path Smoothing Methodsmentioning

confidence: 99%

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Proposal of a Machining Test to Evaluate Dynamic Synchronization Error of Rotary and Linear Axes With Reversal of Rotation Direction

Ibaraki

Wang

2021

Journal of Manufacturing Science and Engineering

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The five-axis machining of a free-form surface often contains the reversal of a rotary axis' rotation direction with linear axis synchronized with it. This paper proposes a machining test to quantitatively evaluate the influence of the reversal of rotation direction on the surface geometry. In the five-axis machining, the trajectory of tool position and orientation is firstly given in the workpiece coordinate system by the CAM (Computer-aided Manufacturing) software, and the CNC (Computerized Numerical Control) system converts it to the machine coordinate system to calculate command trajectories. This paper clarifies that the tool path smoothing in the machine coordinate system can potentially cause a large contour error because of the dynamic synchronization error of rotary and linear axes. Although some academic works in the literature presented the smoothing in the workpiece coordinate system, many commercial CNC systems still employ the smoothing in the machine coordinate system, partly because machine tool users or makers do not clearly see how significant this influence can be on the machining accuracy. The proposed machining test enables a user to quantitatively evaluate it. The machining experiment shows that the geometric error of the finished test piece was as large as 0.16 mm under the conventional smoothing in a commercial CNC system, which can be significantly larger than the influence of other typical geometric errors of a five-axis machine tool. This paper shows, by numerical simulation, that the smoothing in the workpiece coordinate system can completely eliminate this contour error.

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Section: Improved Tool Path Smoothing Methodsmentioning

confidence: 99%

“…and Tajima [15] used the shaping filters to smooth the tool path at corners by reasonably tuning the dynamic parameters of the filters. The non-stop interpolation for feedrate scheduling was proposed that can also smooth the corner transition [16,17]. These academic works presented the smoothing of corner transition for linear axes only.…”

Section: Introductionmentioning

confidence: 99%

Proposal of a Machining Test to Evaluate Dynamic Synchronization Error of Rotary and Linear Axes With Reversal of Rotation Direction

Ibaraki

Wang

2021

Journal of Manufacturing Science and Engineering

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“…The research of the above scholars only considers the two adjacent trajectories at the corner but does not give the processing method of continuous micro-segments. T Hayasaka [24] proposed a block splitting method to adjust the speed within the delay time, realized the machining of continuous micro-segments based on FIR filtering. B Sencer [25][26] proposed a highly computationally efficient global smoothing interpolation method, determined the final speed proportion coefficient by solving the influence of each corner on multi-stage speed.…”

Section: Introductionmentioning

confidence: 99%

Real-time smooth trajectory generation for 3-axis blending tool-paths based on FIR filtering

Fang

Zhang

et al. 2023

Int J Adv Manuf Technol

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3-axis machining tool-paths are generated using computer-aided manufacturing (CAM) systems and programmed by series of G01 codes mixed with long and short segments. The computer numerical control (CNC) system needs to analyze the path information according to the G codes, through the path smoothing, speed planning, and interpolation process, generate the smooth trajectory and ensure the highorder continuity of velocity. This paper proposes a real-time smooth trajectory generation algorithm with simple structure and low calculation for 3-axis blending machining tool-paths. FIR filters are used to generate a smooth trajectory with bounded acceleration in real-time. Due to the delay of the filter, it will inevitably bring contour error. The feed rate is adjusted by considering the influence of the adjacent segments on the contour error in the case of long segments, then this idea is extended to continuous micro-segments. Finally, through the pre-discretization with certain rules, a direct one-step smooth trajectory generation algorithm for the blending tool-paths is realized. The algorithm not only can effectively control the contour error, but also is suitable for blending tool-paths. Consequently, the effectiveness of the proposed algorithms are validated in simulations and also experimentally on a 5-axis machine tool.

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“…加減速タイミングを調整してコーナ誤差を制限する NC 加減速指令生成法が提案されている (山崎他, 2000; ．また，二つの直線セグメントの間に円弧やスプライン曲線などの過渡曲線セグメントを挿入して，コーナ誤差を制限範囲内に抑えるようにセグメント結合部の送り速度を調整する方法は多数発表されており，その中で実機に組み込んで実施した確認実験の結果報告もある Farouki and Nittler, 2016;Nittler and Farouaki, 2017;Hayasaka et al, 2019;Jiang et al, 2022)…”

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Nc直線加減速処理によるマシニングセンタの直線補間工具経路の運動誤差推定

Qiu

Yamaguchi

Huang

2023

Transactions of the JSME (In Japanese)

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From the machining center (MC) user's point of view, the authors propose a practical approach to estimate the trajectory error of a linear interpolation cutter path produced by the linear acceleration/deceleration (Acc/Dec) processing for a target MC in this paper. Firstly, a simple and convenient motion model is established for describing the behavior of the servo axes corresponding to the linear Acc/Dec procession of a linear segment, which can be applied to any linear segment regardless of length. Based on the model and a linearity assumption on the dynamics of servo system, a simulation method is developed to precisely calculate the cutter path trajectory in detail together with the servo axis speed from the motion parameters commanded in NC program. The algorithm not only has a very simple structure but also demonstrates high efficiency in actual calculation. In order to confirm the effect of the approach, verification experiments have been performed on the target MC, in which specially designed cutter paths were inspected by a cross grid measuring device with high resolution in non-contact state. These measured trajectories are compared and discussed with the ones simulated under the same motion parameters, from different perspectives. The examination results sufficiently demonstrate the effectiveness of the proposed model and simulation method. Therefore, as a useful tool, the approach provides a potential application possibility, i.e. beforehand estimating the influence of the NC Acc/Dec processing on cutter path accuracy or judging the motion conditions for the machining purpose without performing an actual machining with the target MC.

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A lightweight interpolation algorithm for short-segmented machining tool paths to realize vibration avoidance, high accuracy, and short machining time

Cited by 12 publications

References 16 publications

Proposal of a Machining Test to Evaluate Dynamic Synchronization Error of Rotary and Linear Axes With Reversal of Rotation Direction

Proposal of a Machining Test to Evaluate Dynamic Synchronization Error of Rotary and Linear Axes With Reversal of Rotation Direction

Real-time smooth trajectory generation for 3-axis blending tool-paths based on FIR filtering

Nc直線加減速処理によるマシニングセンタの直線補間工具経路の運動誤差推定

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