• Title/Summary/Keyword: Tool Path Interpolation

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Real-Time Variable-Feedrate NURBS Surface Interpolator (실시간 가변속 NURBS 곡면 인터폴레이터)

  • 구태훈;지성철
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.10a
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    • pp.371-374
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    • 1997
  • This study presents a new type of real-t~me CNC interpolator that is capable of generating cutter paths for ball-end milling of NURBS surfaces. The proposed surface interpolator comprises real-time algorithms for cutter-contact (CC) path scheduling and CC path interpolation. Especially, in this study, a new interpolator module to regulate cutting forces is developed. This proposed algorithm utilizes variable-feedrate commands according to the curvature of machined surfaces. The proposed interpolator is evaluated and compared with the conventional method based on constant feedrates through computer simulation.

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A complete S-shape feed rate scheduling approach for NURBS interpolator

  • Du, Xu;Huang, Jie;Zhu, Li-Min
    • Journal of Computational Design and Engineering
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    • v.2 no.4
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    • pp.206-217
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    • 2015
  • This paper presents a complete S-shape feed rate scheduling approach (CSFA) with confined jerk, acceleration and command feed rate for parametric tool path. For a Non-Uniform Rational B-Spline (NURBS) tool path, the critical points of the tool path where the radius of curvature reaches extreme values are found firstly. Then, the NURBS curve is split into several NURBS sub-curves or blocks by the critical points. A bidirectional scanning strategy with the limitations of chord error, normal/tangential acceleration/jerk and command feed rate is employed to make the feed rate at the junctions between different NURBS blocks continuous. To improve the efficiency of the feed rate scheduling, the NURBS block is classified into three types: short block, medium block and long block. The feed rate profile corresponding to each NURBS block is generated according to the start/end feed rates and the arc length of the block and the limitations of tangential acceleration/jerk. In addition, two compensation strategies are proposed to make the feed rate more continuous and the arc increment more precise. Once the feed rate profile is determined, a second-order Taylor's expansion interpolation method is applied to generate the position commands. Finally, experiments with two free-form NURBS curves are conducted to verify the applicability and accuracy of the proposed method.

Exploiting W. Ellison model for seawater communication at gigahertz frequencies based on world ocean atlas data

  • Tahir, Muhammad;Ali, Iftikhar;Yan, Piao;Jafri, Mohsin Raza;Jiang, Zexin;Di, Xiaoqiang
    • ETRI Journal
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    • v.42 no.4
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    • pp.575-584
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    • 2020
  • Electromagnetic (EM) waves used to send signals under seawater are normally restricted to low frequencies (f) because of sudden exponential increases of attenuation (𝛼) at higher f. The mathematics of EM wave propagation in seawater demonstrate dependence on relative permeability (𝜇r), relative permittivity (𝜀r), conductivity (𝜎), and f of transmission. Estimation of 𝜀r and 𝜎 based on the W. Ellison interpolation model was performed for averaged real-time data of temperature (T) and salinity (S) from 1955 to 2012 for all oceans with 41 088 latitude/longitude points and 101 depth points up to 5500 m. Estimation of parameters such as real and imaginary parts of 𝜀r, 𝜀r', 𝜀r", 𝜎, loss tangent (tan 𝛿), propagation velocity (Vp), phase constant (𝛽), and α contributes to absorption loss (La) for seawater channels carried out by using normal distribution fit in the 3 GHz-40 GHz f range. We also estimated total path loss (LPL) in seawater for given transmission power Pt and antenna (dipole) gain. MATLAB is the simulation tool used for analysis.

simultaneous Control of Position and Cutting Force Based o Multi-input Multi-output Model in Ball End Milling Process (볼엔드밀 절삭공정에서 위치 및 절삭력 동시제어)

  • 이건복
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2000.04a
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    • pp.121-126
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    • 2000
  • This research proposes a new advanced control method and demonstrates its realization in part. By incorporating shape machining and cutting force control at a time, this integrated scheme makes it possible to machine a desired shape and avoid the trouble of programming feedrate and spindle speed before machining and also reduce the shape error. The main idea proposed to achieve those goals consists in giving commanded path and desired cutting force at the same time. which makes it possible for position and force controller to distribute the corresponding velocity of individual axes and main spindle by an appropriate interpolation. That indicates we can replace the built-in interpolator of commercial machine tools by the developed algorithm.

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Measurement and Analysis for Positioning Control Characteristics using Encoder Signal of NC Machine Controller (공작기계용 NC제어기의 엔코더 신호를 이용한 위치제어 특성 측정 및 분석)

  • Kim Jong-Gil;Lee Eung-Suk
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.2 s.233
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    • pp.311-317
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    • 2005
  • NC controller parameters are fixed when the controller is combined with a machine. However, the characteristics of controller could be changed as it has being used by the machine or other environmental conditions. Ultimately, it results in tool positioning accuracy changing. The loading torque in servo motor also influences on the positioning accuracy. This study focus on a measuring and analysing method for verifying the angular positioning accuracy of NC servo motor. We used a high resolution A/D converter for acquiring analogue signal of rotary encoder in servo motor. Generating tool path by the combination of axial movements (X,Y,Z) is compared with the encoder signals with the servo motor torque. The current variation signal is also read from the servo motor power using a hall sensor and converted to the motor torque. The method of analysing proposed in this study will be used for determining the gains (tuning) of parameter in NC controller, when the controller is set up at a machine initially or the controller condition is changed during the work.