• Title/Summary/Keyword: Linear feed error

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Trajectory Following Control Using Cogging Force Model in Linear Positioning System

  • Chung, Myung-Jin;Gweon, Dae-Gab
    • International Journal of Precision Engineering and Manufacturing
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    • v.3 no.3
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    • pp.62-68
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    • 2002
  • To satisfy the requirement of the one axis linear positioning system, which is following control of the desired trajectory without following error and is the high positioning accuracy, feed-forward loop having cogging force model is proposed. In the one axis linear positioning system with linear PM motor, cogging force acting as disturbance is modeled analytically. Analytic model of cogging force is verified by result measured from positioning system constructed with linear PM motor. Measured result is very similar with proposed analytic model. Cogging force model is used as feet forward loop in control scheme of linear positioning system. Cogging force feed-forward'loop is obtained from analytic model of cogging farce. Trajectory following error is reduced from 300nm to 100nm by applying the proposed cogging farce feed-forward loop. By using analytic model of cogging force, the control scheme is simplified. Also this analytic model is applicable to calculation of characteristic value of positioning system in design process.

고속 CNC선반 이송계의 열변형 오차 해석

  • 윤원수;김수광;하재룡;조동우
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.263-268
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    • 1997
  • Development of a high speed feed drive system has been a major issue for the past few decades in machine tool industries. The reduction of tool change time as well as repid travel time can enhance the productivity. However,the high speed feed drive system generates more heat in nature,which leads to thermal expansion that has adverse effects on the accuracy of machined part. The paper divides the feed drive system into the ball screw and guide way. For each part, the thermal behvior model is separtately developed to estimate the position error of the respective feed drive system that is caused by the thermal expansion. The modified lumped capacitance method is used to analyze the linear position error of the ball screw. The thermal deformation of guide way parts affects the straightness and angular error as well as linear position error. Finite element method is used to estimate the thermal behavior of these guide way parts. The effectiveness of the proposed models are verified through the experiments using laser interferometer.

Controller Design by Error Shape and Steady-State Error Analysis for a Feed Drive System in CNC Milling Machine (CNC 밀링머신 이송장치의 오차유형 및 정상상태 오차해석에 의한 제어기 설계)

  • Lee Gun-Bok;Gil Hyeong-Gyeun
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.3 s.168
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    • pp.52-60
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    • 2005
  • This paper deals with the position control fur a feed drive system in CNC milling machine, which utilizes a modified error signal for the elimination of steady-state error. A linear time-invariant (LTI) system has consistent properties in response to standard test signal inputs. Those also appear in an error curve acquired from the response. From such properties, constructed is an error model for the position control of the feed drive. And then added is the output of the error model to the current error signal. Consequently the resulting proportional control system brings performance improvement in view of the steady-state error. The effectiveness of the proposed scheme is confirmed through simulations and experiments.

Chucking Compliance Compensation by Using Linear Motor (리니어 모터를 이용한 척킹 컴플라이언스 보상)

  • Lee, Seon-Gyu;Lee, Jin-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.1
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    • pp.15-22
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    • 2002
  • This paper introduces a compensating system for machining error, which is resulted from chucking with separated jaws. In machining the chucked cylindrical workpiece, the deterioration of machining accuracy, such as out-of-roundness is inevitable due to the variation of the radial compliance of the chuck workpiece system which is caused by the position of jaws with respect to the direction of the applied force. To compensate the chucking compliance induced error, firstly roundness profile of workpiece due to chucking compliance after machining needs to be predicted. Then using this predicted profile, the compensated tool feed trajectory can be generated. And by synchronizing the cutting tool feed system with workpiece rotation, the chucking compliance induced error can be compensated. To satisfy the condition that the cutting tool feed system must provide high speed and high position accuracy, brushless linear DC motor is used. In this study, firstly through the force-deflection experiment in workpiece chucked lathe, the variation of radial compliance of chuck workpiece system is obtained. Secondly using the mathematical equation and cutting experiment result, the predicted profile of workpiece and its compensation tool trajectory are generated. Thirdly the configuration of compensation system using linear motor is introduced, and to improve the system performance, PID controller is designed. Finally the tracking performance of system is examined by experiment. Through the real cutting experiment, roundness is significantly improved.

Development of a Submicron Order Straightness Measuring Device (서브미크론 진직도 측정장치 개발)

  • 박천홍;정재훈;김수태;이후상
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.5
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    • pp.124-130
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    • 2000
  • For measuring out the submicron order straightness, a precision measuring device is developed in this paper. The device is constructed with a hydrostatic feed table and a capacitive type sensor which is mounted to the feed table. Straightness is acquired as substracting the motion error of feed table from the measured profile with probe. Motion error of feed table is simultaneously compensated upto 0.120${\mu}{\textrm}{m}$ of linear motion error and 0.20arcsec of angular motion error using the active controlled capillary. Reversal method and strai호t-edge is used fur estimating the measuring accuracy and from the experimental result, it is verified that the device has the measuring accuracy 0.030m. Also, through the practical application on the measurement of ground surface, it is confirmed that the device is very effective to measure the submicron order straightness.

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Development of Computer Aided Measurement and Compensation System for Linear Pitch Error Correction in CNC Machine Tools Implementing a New Optimal Correction Algorithm (CNC 공작기계 선형피치오차의 최적 보정알고리즘을 구현하는 자동 측정 및 보정 시스템의 개발)

  • 이석원;박희재;주종남
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.1
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    • pp.69-77
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    • 1998
  • Linear displacement accuracy is one of the most important factors that determine machine tool accuracy The laser interferometer has been usually recommended for the measurement of linear displacement accuracy. In this paper, microcomputer aided measurement and compensation system has been developed for the pitch error in a CNC machine tool. For accurate pitch error calculation. the analysis code for the pitch error has been also implemented according to the international standards (ISO). The PC based automatic compensation system for the pitch error is also implemented. A new algorithm for calculating optimum value for pitch error compensation is proposed, minimizing the deviation at each target points. The development system has been applied to a practical CNC maching center and the performance has been demonstrated.

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Development of an Ultra Precision Hydrostatic Guideway Driven by a Coreless Linear Motor

  • Park Chun Hong;Oh Yoon Jin;Hwang Joo Ho;Lee Deug Woo
    • International Journal of Precision Engineering and Manufacturing
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    • v.6 no.2
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    • pp.55-60
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    • 2005
  • In order to develop the hydrostatic guideways driven by a core less linear motor for ultra precision machine tools, a prototype of guideway is designed and tested. A coreless linear DC motor with a continuous force of 156 N and a laser scale with a resolution of 0.01 ㎛ are used in the system. Experimental analysis on the static stiffness, motion errors, positioning error and its repeatability, micro step response and velocity variation of the guideway are performed. The guideway shows infinite stiffness within 50 N applied load in the feed direction, and by the motion error compensation method using the Active Controlled Capillary, 0.08 ㎛ linear motion error and 0.1 arcsec angular motion error are acquired. The guideway also reveals 0.21 ㎛ positioning error and 0.09 ㎛ repeatability, and it shows stable responses following a 0.01 ㎛ resolution step command. The velocity variation of feeding system is less than 0.6 %. From these results, it is estimated that the hydrostatic guideway driven by a coreless linear motor is very useful for the ultra precision machine tools.

Two axis control characteristics of linear motor feed system (리니어이송시스템의 2축제어특성)

  • 유송민;신관수
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2002.04a
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    • pp.346-351
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    • 2002
  • Several algorithm applied to single axis feed system with linear motor has been extensively reviewed in order to check the possible applicability to two axis system Among several factors considered, overshoot of the response was the most important one in minimizing position tracking error. Balance between overshoot and settling time has be adjusted to guarantee to best tracking performance.

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High Speed Linear Motor Feed System Control using Neural Network (신경망을 이용한 리니어모터 이송시스템 제어)

  • 유송민
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2001.04a
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    • pp.413-417
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    • 2001
  • High speed linear motor feed system has been simulated using neural network technique. Due to the limited resources, control gain tuning has been the most troublesome part in controller design. Regardless of the system structure, conventional control gain could be adjusted minimizing the resulting error using the proposed method. Slight performance deterioration was observed at the small value of training epoch.

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The Study on Automated Compensation of Thermal Deformation for High Speed Feed Drive System (고속이송계의 열변형오차 자동보정에 관한 연구)

  • 조성복;박성호;고해주;정윤교
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.11a
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    • pp.195-198
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    • 2000
  • It can be acquired the high effective productivity through of high speed, precision of machine tools, and then, machine tools will be got a competitive power. Industrially advanced countries already developed that the high speed feed is 60m/min using the high speed ball screw. Also, a lot of problems have happened the feed drive system. It is necessary to study about the characteristics of thermal deformation played a more critical role than static stiffness and dynamic rigidity in controlling the level of machining accuracy. In spite of the improving the thermal deformation characteristics of machine tools at the design stage, there are always some residual errors that have to be compensated for during machining. In this study, thermal deformation error automated compensation device with multiple linear regression is proposed that thermal deformation error can be eliminated at the machining stage. The developed device has been practically applied to the feed drive unit.

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