• Title/Summary/Keyword: Finite Jerk

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Acceleration Optimization of a High-speed LCD Transfer Crane Using Finite Jerk (고속 LCD 이송 시스템의 진동감소를 위한 Finite Jerk 적용 가속도 최적화)

  • Song Tae-Jin;Hong Dae-Sun;Kim Ho-Jong;Bang Duck-Je;Chung Won-Jee
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.3 s.180
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    • pp.110-117
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    • 2006
  • This paper presents the acceleration optimization of a high-speed LCD (Liquid Crystal Display) transfer system for the minimization of vibration. To reduce vibration is one of key requirements for the dynamic control of a high-speed LCD transfer system. In this paper, the concept of finite jerk (the first derivative of acceleration) has been introduced for realizing input acceleration. The profile of finite jerk has been optimized using a genetic algorithm so that vibration effect can be minimized. In order to incorporate a genetic algorithm, the dynamic model of a LCD transfer system which is realized by using the ADAMS software has been linked to the simulation system constructed by the MATLAB. The simulation results illustrated that the duration of finite jerk can be optimized so as to minimize the magnitude of vibration. It has been also shown that the acceleration optimization with finite jerk can make the high-speed motion of a LCD transfer system result in low vibration, compared with the conventional motion control with trapezoidal velocity profile.

Acceleration Optimization of a High-speed LCD Transfer Crane Using Finite Jerk (고속 LCD 이송 시스템의 진동감소를 위한 Finite Jerk 적용 가속도 최적화)

  • Chung W.J.;Song T.J.;Jung D.W.;Cho Y.D.;Bang D.J.;Yoon Y.M.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.1906-1909
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    • 2005
  • This paper presents the acceleration optimization of a high-speed LCD (Liquid Crystal Display) transfer system for the minimization of vibration. To reduce vibration is one of key requirements for the dynamic control of a high-speed LCD transfer system. In this paper, the concept of finite jerk (the first derivative of acceleration) has been introduced for realizing input acceleration. The profile of finite jerk has been optimized using a genetic algorithm so that vibration effect can be minimized. In order to incorporate a genetic algorithm, the dynamic model of a LCD transfer system which is realized by using the $ADAMS^{(R){$ software has been linked to the simulation system constructed by the $MATLAB^{(R)}$. The simulation results illustrated that the duration of finite jerk can be optimized so as to minimize the magnitude of vibration. It has been also shown that the acceleration optimization with finite jerk can make the high-speed motion of a LCD transfer system result in low vibration, compared with the conventional motion control with trapezoidal velocity profile.

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Experimental Study for Optimizing the Acceleration of AC Servomotor Using Finite Jerk

  • Chung, Won-Jee;Kim, Sung-Hyun;Hwan, Park-Myung;Su, Shin-Ki
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.604-609
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    • 2005
  • This paper presents an experimental study for optimizing the acceleration of AC servomotor using finite jerk (the first derivative of acceleration). The acceleration optimization with finite jerk aims at generating the smooth velocity profile of AC servomotor by experimentally minimizing vibration resulted from the initial friction of servomotor. The stick-slip motion of AC servomotor induced by initial friction can result in the positional errors that are not good for high-precision devices such as the assembly robot arms to be used in a 300mm wafer or a LCD (Liquid Crystal Display) stocker system. In this paper, experiments were made by using a PM (Permanent Magnet) type AC servomotor with MMC(R) (Multi Motion Controller) programmed in Visual C++(R). The experiments have been performed for finding the optimal duration time of finite jerk in terms of the minimization of vibration displacements when both the magnitude of velocity and the allowable acceleration are given. We have compared the proposed control with the conventional control with trapezoidal velocity profile by measuring vibration displacements. The effectiveness of the proposed control has been verified in that the experimental results showed the decrease of vibration displacement by about 24%.

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Optimal Motion Control of 3-axis SCARA Robot Using a Finite Jerk and Gain Tuning Based on $LabVIEW^{(R)}$ ($LabVIEW^{(R)}$ 기반 3축 스카라 로봇의 유한 저크 및 게인 동조를 이용한 최적 모션 제어)

  • Kim, J.H.;Chung, W.J.;Kim, H.G.;Lee, G.S.
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.17 no.3
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    • pp.40-46
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    • 2008
  • This paper presents the optimal motion control for 3-axis SCARA robot by using $LabVIEW^{(R)}$. Specifically, for optimal motion control of 3-axis SCARA robot, we study velocity profile based on finite jerk(the first derivative of acceleration) and optimal gain tunig based on frequency response method by using $LabVIEW^{(R)}$. The velocity optimization with finite jerk aims at generating the smooth velocity profile of robot. Velocity profile based on finite jerk is acquired and applied to 3-axis SCARA robot by using $LabVIEW^{(R)}$. DSA(Dynamic Signal Analyzer) for frequency response method is programed by using $LabVIEW^{(R)}$. We obtain the bode plot of transfer function about 3-axis SCARA robot by using DSA, and perform the gain tuning considering dynamic characteristic based on the bode plot. These experiments have shown that the proposed motion control can reduce vibration displacement and response error rate each 33.7% and 51.7% of 3-axis SCARA robot.

The Vibration Minimization of BLDC Motor driving a robot by using the Finite-Jerk Continuity Acceleration curve (Finite Jerk를 이용한 로봇 구동용 BLDC 모터의 저진동화)

  • Lee, Dong-Yeup;Huang, Rui;Kim, Gyu-Tak;Jung, Won-Ji
    • Proceedings of the KIEE Conference
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    • 2005.07b
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    • pp.1144-1146
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    • 2005
  • This paper presents the optimal design reducing the rotor inertia in order to improve the driving characteristic of BLDCM for robots. The parallel Genetic Algorithm is performed to rotor inertia minimization in optimal design. Also, velocity profile with finite jerk method is introduced to reduce vibration of BLDCM. As a result, a torque characteristic is same although rotor inertia is reduced 2/3 compared with prototype model. And, maximum vibration value is reduced by 63.4[%1 according to apply finite jerk.

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A Study on the Vibration Minimization for Realizing the High-Speed and Flexible Motion in BLDC Motor of Robot (고속 유연한 로봇 운동 구현을 위한 BLDC Motor의 진동 최소화 설계)

  • Lee Dong-Yeup;Kim Gyu-Tak;Jung Won-Ji;Kim Sung-Hyun
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.54 no.7
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    • pp.329-334
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    • 2005
  • This paper presents the optimal design for reducing the rotor inertia in order to improve the driving characteristic of BLDC motor for robots. The parallel Genetic Algorithm is performed to rotor inertia minimization in optimal design. Also, velocity profile with finite jerk method is introduced to reduce vibration of BLDC motor. As a result, a torque characteristic is same although rotor inertia is reduced to 2/3 compared with prototype model. And, maximum vibration value is reduced by 63.4[$\%$] according to the application of finite .jerk method.

Feed rate optimizaton of a PMLSM driven feed drive system for minimum vibrations (리니어모터 이송시스템의 진동저감을 위한 이송속도 최적화)

  • Choi Young-Hyu;Choi Eung-Young;Kim Gyu-Tak
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2005.05a
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    • pp.97-102
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    • 2005
  • This paper presents feed rate optimizaton of a PMLSM driven feed-slide for mininum vibrations by smoothing velocity curve with finite jerk. First of all, the PMLSM was designed and made to reduce detent force. Next, a PMLSM driven feed-slide system was mathematically modeled as a 4-degree-of-freedom lumped parameter model. The key idea of our vibration minimization method is to find out the most appropriate smooth velocity curve with finite jerk. The validity of our proposed method has been verified by comparing computer simulation results of the feed-slide model with experimental ones.

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A Study on the Optimal Acceleration Profile to Reduce Vibration of PMLSM (PMLSM의 진동저감을 위한 최적의 속도 궤적 생성에 관한 연구)

  • Lee Dong-Yeup;Kim Gyu-Tak;Choi Young-Hyu
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.54 no.8
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    • pp.351-357
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    • 2005
  • This paper presents vibration minimization of a PMLSM driven feed-slide by using optimized smooth velocity curve with finite jerk. First of all, the PMLSM was designed and made to reduce detent force. Next, a PMLSM driven feed-slide system was mathematically modeled as a 4-degree-of-freedom lumped parameter model. The key idea of our vibration minimization method is to find out the most appropriate smooth velocity(feedrate) curve with finite jerk. The validity of our proposed method has been verified by comparing computer simulation results of the feed-slide model with experimental ones.

Finite element analysis for dynamic behavior of a machine tool structure fed in open loop control (개루프제어로 이송되는 공작기계 구조물의 동적 거동을 위한 유한 요소 해석)

  • Choi, Jin-Woo;Lee, Tae-Hong
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.19 no.5
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    • pp.596-602
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    • 2010
  • In this study, a fmite element model was developed for analysis of feeding a structure in open loop control The finite element analysis (FEA) can simulate dynamic behavior of the structure of a machine tool rapidly traveling with a screw feeding driving system. The feeding mechanism was implemented with screw element of the FEA tool used in this study. The procedure was developed for the dynamic transient FEA. First, motion parameters such as jerk and velocity were introduced for the structure to be fed in open loop control When its traveling distance was determined, set-points for the distance were generated based on the motion parameters. The set-points were applied to the FE model constructed for the traveling structure. The FEA was executed and evaluated. In this study, the FEA procedure was applied to the column of a machine tool and the dynamic behavior of the column was evaluated. The FEA helps in evaluation of the motion characteristics of a structure. The convergence time of the structure vibration posterior to feeding termination can be estimated and the stiffness of the flexible structure is also evaluated against jerk, and acceleration. It provides the feeding force which is helpful in selection of the feeding motor.

A Study on the Feed Rate Optimization of a Ball Screw Feed Drive System for Minimum Vibrations (볼스크류 이송계의 진동 최소화를 위한 이송속도 최적화)

  • Choi, Young-Hyu;Hong, Jin-Hyun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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    • pp.962-966
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    • 2004
  • Ball screw feed drive systems have been broadly used in machine tools or precision automatic feed systems. Recently, modern machine tools require high speed and high precision and drive system to achieve high productivity. Unfortunately, a feed drive system, even though it was optimum designed, may experience severe transient vibrations during high-speed operation if its feed rate control is unsuitable. A rough feed rate curve having discontinuity in its acceleration profile causes a serious vibration problem in the feed slide system. This paper presents a feed rate optimization of a machine tool feed slide system, which is driven by a ball screw, for its minimum vibrations. Firstly, a 6-degree-of-freedom lumped parameter model was proposed for the vibration analysis of a ball screw driven machine tool feed drive system. Next, a feed rate optimization of the feed slide was carried out for minimum vibrations. The feed rate curve optimization strategy is to find out the most appropriate acceleration profile having finite jerk. Of course, the optimized feed rate should approximate to the desired one as possible. A genetic algorithm with variable penalty function was used in this feed rate optimization.

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