• Title/Summary/Keyword: Flexible Mode

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Digital Linear Control System for a Magnetic Bearing System of a High Vacuum Turbomolecular Pump (고진공 터보 분자펌프용 자기베어링 시스템의 디지털 선형 제어시스템)

  • Ro, Seung-Kook;Kyung, Jin-Ho;Park, Jong-Kweon;Nam, Woo-Ho;Koh, Deug-Yong
    • Journal of the Korean Vacuum Society
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    • v.19 no.4
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    • pp.256-264
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    • 2010
  • In this paper, a digital controller of magnetic bearing system for a high vacuum turbomolecular pump (TMP) is designed and examined. For stabilizing and providing damping in magnetic bearing, the digital PID controller is applied for each 5 control axes, and the inter-axis cross feedback controller is also applied to suppress low frequency vibration caused by gyroscopic moment of the rotor at high speed of rotation. The fabricated rotor-shaft has its first flexible natural frequency lower than maximum speed, about 614Hz, so the two lead filters are applied to increase damping of flexible mode. Notch filters with rotating frequency were selected to reduce vibration of the pump housing caused by unbalance load. The implemented controllers are verified by examination of frequency response and rotating test up to 40,000 rpm, which is higher than critical speed of backward flexible mode.

H$_\infty$ control of a flexible manipulator using voice coil motor (보이스코일 모터를 이용한 유연한 조작기의 H$_\infty$제어)

  • 박형욱;박노철;박영필;김승호
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1700-1703
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    • 1997
  • The flexibility of the manipulator inevitably inducess the vibration at the end effector. For the increase in speed and accuracy at the end tip, in this work, position and vibration control of a flexible manipuator with a separate voice coil type actrator for vibration suppression, is studied. The flexible manipulator with a tip mass is modeled an Euler-Bernoulli beam. An H.inf. controller is designed in order to make the controlled system robust against unmodeled higher-order mode vibration of the manipulator, output sensor noise, and etc. Simulations and experiments show that the modeling of the system is valid and that robust vibration control of the flexible manipulator is efficiently achieved.

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The Vibration Control of Flexible Manipulator using A Reference Trajectory Command and Fuzzy Controller

  • Park, Yang-Su;Kang, Jeng-Ho;Park, Yoon-Myung;Cho, Yong-Gab
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.67.3-67
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    • 2001
  • A fuzzy control strategy is described which is utilized to control the joint angle and tip deflection in single flexible manipulator. In this paper, an existing model for a single flexible manipulator is used f3r the initial development of an FLC. One FLC is designed to govern the joint angle of the manipulator as it is rotated from one position to another, and a second FLC is designed to attenuate the tip deflection which result from joint angle body motion. Reference Trajectory Command is an important method to reduce vibration in flexible beam. This paper presents a very simple command control shaping which eliminates multiple mode residual vibration in a flexible beam combined fuzzy controller ...

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Application Study of Nonlinear Transformation Control Theory for Link Arm System (링크 암에 대한 비선형 변환 제어 이론의 응용 연구)

  • Baek, Y.S.;Yang, C.I.
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.2
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    • pp.94-101
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    • 1996
  • The equations of motion for a basic industrial robotic system which has a rigid or a flexible arm are derived by Lagrange's equation, respectively. Especially, for the deflection of the flexible arm, the assumed mode method is employed. These equations are highly nonlinear equations with nonlinear coupling between the variables of motion. In order to design the control law for the rigid-arm robot, Hunt-Su's nonlinear transformation method and Marino's feedback equivalence condition are used with linear quadratic regulator(LQR) theory. The control law for the rigid-arm robot is employed to input the desired path and to provide the required nonlinear transformations for the flexible-arm robot to follow. By using the implicit Euler method to solve the nonlinear equations, the comparison of the motions between the flexible and the rigid robots and the effect of flexibility are examined.

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Contact Mechanics of Variable-Gauge Wheeles With Flexible Body (탄성체를 이용한 궤간가변 대차용 윤축시스템의 접촉력 해석)

  • Lee Young-Joo;Bae Dae-Sung;Kim Wan-Goo;Jang Seung-Ho;Han Jun-Suk
    • Proceedings of the KSR Conference
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    • 2005.05a
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    • pp.379-384
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    • 2005
  • Research interest on flexible body dynamics, has been increased recently. The major application areas are the auto-mobile, train, and heavy machinery. This paper attempted the dynamic analysis for the variable-gauge wheelset with a flexible body, to better understand the dynamic characteristics of the variable-gauge wheelset. In order to achieve this goal, a 3D-Virtual Mock-up model was built. The tendency of the stress and deformation for the flexible lever was investigated through component mode synthesis, contact mechanics and flexible body dynamics. This study is a pioneering work for the development of Korean type variable-gauge wheelset.

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Characteristics of One Step Advanced Discrete Time D-Control with Time Delay in Noncolocated Flexible System (비병치 유연계의 시간지연 이산제어에서 한스텝선행 미분제어기의 특성)

  • Kang, Min-Sig
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.7 s.94
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    • pp.1678-1685
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    • 1993
  • This paper considers a time delay control of noncolocated flexible mechanical systems in discrete time domain. A stability criterion suggested in the previous paper is,extended in the consideration of infinite mode property of flexible systems and finite control sampling frequency. Based on the stability criterion, the one step advanced discrete time derivative control is suggested, which can stabilize infinite number of modes of a flexible system. The sensitivity analysis shows the robustness of the one step advanced control to the system parameter uncertainties and time delay errors. Application to a simply supported beam verifies the extended stability criterion and the effectiveness of the one step advanced D-control.

Dynamics of a rotating beam with flexible root and flexible hub

  • Al-Qaisia, A.A.
    • Structural Engineering and Mechanics
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    • v.30 no.4
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    • pp.427-444
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    • 2008
  • A mathematical model for the nonlinear dynamics of a rotating beam with flexible root attached to a rotating hub with elastic foundation is developed. The model is developed based on the large planar and flexural deformation theory and the potential energy method to account for axial shortening due to bending deformation. In addition the exact nonlinear curvature is used in the system potential energy. The Lagrangian dynamics and the assumed mode method is used to derive the nonlinear coupled equations of motion hub rotation, beam tip deflection and hub horizontal and vertical displacements. The derived nonlinear model is simulated numerically and the results are presented and discussed for the effect of root flexibility, hub stiffness, torque type, torque period and excitation frequency and amplitude on the dynamic behavior of the rotating beam-hub and on its stability.

Vortex-induced vibration of a long flexible cylinder in uniform cross-flow

  • Ji, Chunning;Peng, Ziteng;Alam, Md. Mahbub;Chen, Weilin;Xu, Dong
    • Wind and Structures
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    • v.26 no.5
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    • pp.267-277
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    • 2018
  • Numerical simulations are performed of a long flexible cylinder undergoing vortex-induced vibration at a Reynolds number of 500. The cylinder is pinned at both ends, having an aspect ratio of 100 (cylinder length to cylinder diameter) and a mass ratio of 4.2 (structural mass to displaced fluid mass). Temporal and spatial information on the cross-flow (CF) and in-line (IL) vibrations is extracted. High modal vibrations up to the $6^{th}$ in the CF direction and the $11^{th}$ in the IL direction are observed. Both the CF and IL vibrations feature a multi-mode mixed pattern. Mode competition is observed. The $2^{nd}$ mode with a low frequency dominates the IL vibration and its existence is attributed to a wave group propagating back and forth along the span. Distributions of fluid force coefficients are correlated to those of the CF and IL vibrations along the span. Histograms of the x'-y motion phase difference are evaluated from the total simulation time and a complete vibration cycle representing the standing or travelling wave pattern. Correlations between the phase difference and the vibrations are discussed. Vortex structures behind the cylinder show an interwoven near-wake pattern when the standing wave pattern dominates, but an oblique near-wake pattern when the travelling wave pattern prevails.

Dynamic Analysis of the Effect of Base Flexibility on a Spinning Disk Dynamics in a Small Size Disk Drive (소형 디스크 드라이브에 있어서 베이스 강성이 회전하는 원판에 미치는 동적영향 분석)

  • Lee, Sung-Jin;Hong, Soon-Kyo;Cheong, Young-Min
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.601-606
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    • 2001
  • Free vibration analysis was performed for a spinning disk/spindle system mounted on a flexible baseplate. A simplified model was presented considering the effects of the baseplate flexibility on a disk/spindle system, and the equations of motion were derived by the assumed mode method and Lagrange's equation. From the results of the tree vibration analysis, the variations of the natural frequencies were investigated by changing rotating speed, baseplate thickness. They were attributed to the coupling between the flexible modes of the spinning disk/spindle system and the baseplate. This simplified model was used to predict the dynamic characteristics of a small size disk drive. The validity of the simplified model was verified by experiments and FE analysis.

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Dynamic Modeling and Pressure Control of Piezoactuator Based Valve Modulator Integrated with Flexible Flapper (유연 플래퍼와 연계한 압전 밸브 모듈레이터의 동적 모델링 및 압력 제어)

  • Jeon, Jun-Cheol;Maeng, Young-Jun;Sohn, Jung Woo;Choi, Seung-Bok;Lee, Soo-Jin
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.10
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    • pp.976-982
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    • 2010
  • This paper proposes a novel type of pressure control mechanism which can apply to vehicle ABS (anti-lock braking system) utilizing the piezoactuator based valve system associated with the pressure modulator. As a first step, a flapper-nozzle of a pneumatic valve system is devised by integrating the piezoacuator to the flexible beam structure. The dynamic modeling of the valve system is then undertaken and subsequently the governing equation of pressure control is derived considering the pressure modulator. A sliding mode controller is designed in order to achieve accurate pressure tracking control in the presence of actuator uncertainty as well as input pressure variation. It is shown through computer simulation that an accurate pressure tracking for sinusoidal motion whose magnitude is 40 bar is achieved by utilizing the proposed pressure control mechanism.