• Title/Summary/Keyword: Angular Mode

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Dynamic Characteristics and Stability Analysis of a Rotating Cantilever Pipe Conveying Fluid (유체유동 회전 외팔 파이프의 동특성 및 안정성 해석)

  • Kim, Dong-Jin;Yoon, Han-Ik;Son, In-Soo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.05a
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    • pp.1185-1190
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    • 2007
  • In this paper the vibration system is consisted of a rotating cantilever pipe conveying fluid. The equation of motion is derived by using the Lagrange's equation. Also, the equation of motion is derived applying a modeling method that employs hybrid deformation variables. Generally, the system of pipe conveying fluid becomes unstable by flutter. So, we studied about the influences of the rotating angular velocity, mass ratio and the velocity of fluid flow on the stability of a cantilever pipe by the numerical method. The influences of mass ratio, the velocity of fluid, the angular velocity of a cantilever pipe and the coupling of these factors on the stability of a cantilever pipe are analytically clarified. The critical fluid velocity$(u_{cr})$ is proportional to the angular velocity of the cantilever pipe. In this paper Flutter(instability) always occur in the second mode of the system.

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Effects of Bearing Arrangement on the Dynamic Characteristics of High-speed Spindle (베어링 배열방식이 고속 스핀들의 동특성에 미치는 영향)

  • Hong, Seong-Wook;Choi, Chun-Seok;Lee, Chan-Hong
    • Journal of the Korean Society for Precision Engineering
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    • v.30 no.8
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    • pp.854-863
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    • 2013
  • High-speed spindle systems typically employ angular contact ball bearings, which can resist both axial and radial loading, and exhibit high precision and durability. We investigated the effects of the arrangement of the angular contact ball bearings on the dynamics of high-speed spindle systems. The spindle dynamics were studied with a number of spindle-bearing models, and the location of the bearings was varied, along with the rotational speed and the preload. A finite element spindle model and a bearing model were used, and simulated data showed that the bearing arrangement significantly affected the spindle dynamics. Furthermore, the main effects were due to the cross coupling terms between the transverse and rotational motions of the ball bearings. The coupling stiffness terms were found to influence the spindle dynamics, depending on the mode shapes. An extensive discussion is provided on the effects of the bearing arrangement on the dynamics of the spindle.

A Self-Oscillation Type SAW Microgyroscope Based on the Coriolis Effect of Progressive Waves (진행파의 코리올리효과를 이용한 자가발진형 표면탄성파 초소형 자이로스코프)

  • Oh, Hae-Kwan;Choi, Ki-Sun;Lee, Hyung-Keun;Lee, Kee-Keun;Yang, Sang-Sik
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.2
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    • pp.390-396
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    • 2010
  • An 80MHz surface acoustic wave (SAW)-based gyroscope utilizing a progressive wave was developed on a piezoelectric substrate. The developed sensor consists of two SAW oscillators in which one is used for sensing element and has metallic dots in the cavity between input and output IDTs. The other is used for a reference element. Coupling of mode (COM) modeling was conducted to determine the optimal device parameters prior to fabrication. According to the simulation results, the device was fabricated and then measured on a rate table. When the device was subjected to an angular rotation, oscillation frequency differences between the two oscillators were observed because of the Coriolis force acting on the metallic dots. Depending on the angular rate, the difference of the oscillation frequency was modulated. The obtained sensitivity was approximately 52.35 Hz/deg.s within the angular rate range of 0~1000 deg/s. The performances of devices with three IDT structures for two kinds of piezoelectric substrates were characterized. Good thermal stability was also observed during the evaluation process.

Dynamic Stability of Rotating Cantilever Pipe Conveying Fluid with Tip mass and Crack (끝단질량과 크랙을 가진 유체유동 회전 외팔 파이프의 동적 안정성)

  • Son, In-Soo;Yoon, Han-Ik;Kim, Dong-Jin
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.18 no.1
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    • pp.101-109
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    • 2008
  • The stability of a rotating cantilever pipe conveying fluid with a crack and tip mass is investigated by the numerical method. That is, the effects of the rotating angular velocity, mass ratio, crack severity and tip mass on the critical flow velocity for flutter instability of system are studied. The equations of motion of rotating pipe are derived by using the Euler-Bernoulli beam theory and the extended Hamilton's principle. The crack section of pipe is represented by a local flexibility matrix connecting two undamaged pipe segments. Also, the crack is assumed to be in the first mode of fracture and always opened during the vibrations. When the tip mass and crack are constant, the critical flow velocity for flutter is proportional to the rotating angular velocity of pipe. In addition, the stability maps of the rotating pipe system as a rotating angular velocity and mass ratio ${\beta}$ are presented.

PMSM Sensorless Speed Control Using a High Speed Sliding Mode Observer (고속 슬라이딩모드 관측기를 이용한 PMSM 센서리스 속도제어)

  • Son, Ju-Beom;Kim, Hong-Ryel;Seo, Young-Soo;Lee, Jang-Myung
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.3
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    • pp.256-263
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    • 2010
  • The paper proposes a sensorless speed control strategy for a PMSM (Permanent Magnet Synchronous Motor) based on a new SMO (Sliding Mode Observer), which substitutes a signum function with a sigmoid function. To apply robust sensorless control of PMSM against parameter fluctuations and disturbance, the high speed SMO is proposed, which estimates the rotor position and angular velocity from the back EMF. The low-pass filter and additional position compensation of the rotor are used to reduce the chattering problem commonly found in sliding mode observer with signum function, which becomes possible by applying the sigmoid function with the control of a switching function. Also the proposed sliding mode observer with the sigmoid function has better efficiency than the conventional sliding mode observer since it adjusts the observer gain by variable boundary layer and estimates the stator resistance. The stability of the proposed sliding mode observer is verified by the Lyapunov second method in determining the observer gain. The validity of the proposed high speed PMSM sensorless velocity control has been demonstrated by real experiments.

Output Feedback Sliding Mode Control System with Disturbance Observer for Rotational Inverted Pendulums (외란 관측기를 이용한 회전형 역진자 시스템의 출력 피드백 슬라이딩 모드 제어)

  • Lee, Gyu-Jun;Ha, Jong-Heon;Kim, Jong-Sik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.2
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    • pp.243-253
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    • 2002
  • This paper presents the system modeling, analysis, and controller design and implementation for a rotational inverted pendulum system(RIPS), which is an under-actuated system and has the problem of unattainable angular velocity state. A sliding mode controller using the parameterization of both the hyperplane and the compensator fur output feedback is applied to the RIPS. Also, to improve the performance of the control system, a disturbance observer which estimates the disturbance, parameter variation, and some modeling errors of RIPS with less computational effort is used together. The results of simulation and experiment show that the proposed control system has superior performance for disturbance rejection and regulation at certain initial conditions.

Adaptive nonsingular sliding mode based guidance law with terminal angular constraint

  • He, Shaoming;Lin, Defu
    • International Journal of Aeronautical and Space Sciences
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    • v.15 no.2
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    • pp.146-152
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    • 2014
  • In this paper, a new adaptive nonsingular terminal sliding mode control theory based impact angle guidance law for intercepting maneuvering targets was documented. In the design procedure, a new adaptive law for target acceleration bound estimation was presented, which allowed the proposed guidance law to be used without the requirement of the information on the target maneuvering profiles. With the aid of Lyapunov stability criteria, the finite-time convergent characteristics of the line-of-sight angle and its derivative were proven in theory. Numerical simulations were also performed under various conditions to demonstrate the effectiveness of the proposed guidance law.

The Characteristic Analysis of Reluctance Motor by Excitation Mode (여자방식에 따른 리럭턴스 전동기의 특성해석)

  • Kim, Jong-Gyeum;Kim, Il-Jung;Lee, Eun-Woong
    • Proceedings of the KIEE Conference
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    • 2000.07e
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    • pp.122-128
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    • 2000
  • The SRM is a simple and robust machine which is finding applications over a wide power and speed range. To properly evaluate the motor performance, a reliable model design is required. This paper explains the various excitation mode and winding configuration to analyze the torque performance of SRM. A number of different idealized current excitation patterns are introduced, using unipolar, bipolar & square excitation, and the output torques produced by the various winding configurations are compared. The electromagnetic torque of the SRM was calculated from the rate of change of co-energy with respect to angular displacement. The simulation result shows that 3-phase square excitation mode models have revealed higher torque performance.

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A Study on the Mixed Mode of Gyros by FPGA Implementation (FPGA 구현을 통한 자이로의 혼합모드 연구)

  • Lho, Young-Hwan;Bang, Hyo-Chung
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.1
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    • pp.54-59
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    • 2002
  • In the three-axis control of satellites by using on-board actuators, gyros are usually used to measure the attitude angles and angular rates. The gyros are operated by electronic parts and mechanical actuators. The digital components of the electronic parts consist of largely FPGA (Field Programmable Gate Array) as one of the methods for VLSI(Very Large Scale Integrated) circuit design, while the mechanical parts provide output signal directly by mechanical actuation of a spinning rotor. In this research, a mixed mode of gyro is implemented in FGA. In addition to the hardware implementation, the simulation study was conducted by using the SABER for the mixed mode simulator. Results for the practical implementation of the satellite ACS (Attitude Control System) interfaced with the data processing are also presented to validate the FPGA implementation.

Imperfection Parameter Observer and Drift Compensation Controller Design of Hemispherical Resonator Gyros

  • Pi, Jaehwan;Bang, Hyochoong
    • International Journal of Aeronautical and Space Sciences
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    • v.14 no.4
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    • pp.379-386
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    • 2013
  • The hemispherical resonator gyroscope is a type of vibratory gyroscope, which can measure angle or angular rate, based on its operating mode. This paper deals with the case when the hemispherical resonator gyroscope is operated in angle measurement mode. In angle measurement mode, the resonator pattern angle precesses, with respect to the external rotation input, by the principle of the Coriolis effect, so that the external rotation can be estimated, by measuring the amount of precession angle. However, this pattern angle drifts, due to the manufacturing error of the resonator. Since the drift effect causes degradation of the angle estimation performance of the resonator, the corresponding drift compensation control should be performed, to enhance the estimation performance. In this paper, a mathematical model of the hemispherical resonator gyro is first introduced. By using the mathematical model, a nonlinear observer for imperfection parameter estimation, and the corresponding compensation controller are designed to operate hemispherical resonator gyros, as angle measurement sensors.