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"Interpolation"

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"Interpolation"

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Block Overlap Based CNC Interpolator with Variable Time Constant
Chan-Young Lee, Chang-Ju Kim, Seung Guk Baek, Segon Heo
J. Korean Soc. Precis. Eng. 2025;42(2):169-174.
Published online February 1, 2025
DOI: https://doi.org/10.7736/JKSPE.024.125
This paper proposed a CNC interpolator based on block overlap, capable of changing acceleration and deceleration time constants during continuous machining. The time constant can be set individually for each block through G-code commands. A velocity profile generation algorithm is proposed to set different time constants for both acceleration and deceleration phases. This algorithm can be applied to short blocks. The block overlap algorithm can be used for corner smoothing. A simulation model of the CNC interpolator was constructed to evaluate the proposed interpolation algorithm. Simulation results demonstrated that the proposed algorithm increased precision in areas with significant angular changes by adjusting time constants while simultaneously reducing machining time.
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Cycle Time Estimation of Block Overlap Based CNC
Chan-Young Lee, Seung-Kook Ro, Chang Kyu Song, Jeong Seok Oh
J. Korean Soc. Precis. Eng. 2022;39(7):537-543.
Published online July 1, 2022
DOI: https://doi.org/10.7736/JKSPE.022.027
This paper proposes a cycle time estimation algorithm of a CNC machine tool, using a block overlap based tool path generation algorithm. Velocity profile generation algorithm of CNC interpolator is proposed to compute the cycle time of the G-Code block. Because the CNC blends adjacent velocity profiles to reduce the cycle time and smooth the tool path, the cycle time is adjusted considering the block overlap. The in-position time of rapid traverse is compensated to improve the cycle time estimation accuracy. The simulation model was designed to estimate the cycle time of the CNC machine tool. A three-axis feed drive testbed was used to evaluate the cycle time estimation accuracy of the proposed algorithm.
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Improved Input Shaping Method for Circular Interpolation of a 2-Axis Positioning System
Jin Uk Sim, Pil Kyu Choi, Sun-Woong Kwon, Seong-Wook Hong
J. Korean Soc. Precis. Eng. 2022;39(4):283-289.
Published online April 1, 2022
DOI: https://doi.org/10.7736/JKSPE.022.005
This paper presents an improved input shaping method to eliminate vibration during circular interpolation of a flexible 2-axis positioning system. Due to the time delay introduced by input shaping, simultaneous 2-axis positioning with circular interpolation results in a certain amount of errors from the intended track or trajectory. This study investigated the track errors associated with circular interpolation caused by input shaping for a flexible 2-axis positioning system. The following three strategies for reducing such errors were proposed: velocity reduction in circular interpolation, adjustment of the time delay between 2 axes commands, and employment of a velocity profile compensation function. Simulations were performed to discuss the pros and cons of the three proposed strategies. Experiments were also performed to validate the results. Simulation and experiments showed that the track errors due to input shaping can be sufficiently reduced by combined use of the proposed strategies.

Citations

Citations to this article as recorded by  Crossref logo
  • A Study on the Improvement of Machining Precision by Applying Input Shaping Method to Machining Center
    Kang-Ho Ko, Dong-Wook Lim, Seong-Wook Hong
    Journal of the Korean Society of Manufacturing Technology Engineers.2023; 32(4): 189.     CrossRef
  • Input-shaping-based improvement in the machining precision of laser micromachining systems
    Dong-Wook Lim, Seong-Wook Hong, Seok-Jae Ha, Ji-Hun Kim, Hyun-Taek Lee
    The International Journal of Advanced Manufacturing Technology.2023; 125(9-10): 4415.     CrossRef
  • Application of Input Shaping to a CNC Laser Processing Machine to Enhance Processing Precision
    Kang Ho Ko, Jin Uk Sim, Seong-Wook Hong
    Journal of the Korean Society of Manufacturing Technology Engineers.2022; 31(5): 346.     CrossRef
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CNC Algorithms for Precision Machining: State of the Art Review
Chan-Young Lee, Seong Hyeon Kim, Tae In Ha, Jaehong Min, Soon-Hong Hwang, Byung-Kwon Min
J. Korean Soc. Precis. Eng. 2018;35(3):279-291.
Published online March 1, 2018
DOI: https://doi.org/10.7736/KSPE.2018.35.3.279
As geometry of machined parts becomes complex the demands for more precise and faster machining using advanced computerized numerical control (CNC) are increased. Especially, recently improved computing power of CNC enables the implementation of the complicated control algorithms. Consequently a variety of intelligent control algorithms have been studied and implemented in CNC. This paper reviews the recent progress of control technologies for precision machining using CNC in the area of interpolation, contour control and compensation. In terms of interpolation several corner blending methods and parametric curves are introduced and the characteristics of each method are discussed. Regarding contour control algorithms recently developed multi-axis contour control methods are reviewed. Latest research efforts in compensation algorithms for geometric, thermal and friction induced errors in CNC machining are introduced.

Citations

Citations to this article as recorded by  Crossref logo
  • Improved Input Shaping Method for Circular Interpolation of a 2-Axis Positioning System
    Jin Uk Sim, Pil Kyu Choi, Sun-Woong Kwon, Seong-Wook Hong
    Journal of the Korean Society for Precision Engineering.2022; 39(4): 283.     CrossRef
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  • Crossref