• Title/Summary/Keyword: Governing equation

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Position Control of 3 D.O.F. Cylinder Systems Using ER Valve Aetuators (ER밸브 작동기를 이용한 3자유도 실린더 시스템의 위치제어)

  • 조명수;조명수;김재환;정재천
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.565-568
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    • 1995
  • This paper presents the position control of a closed-loop cylinder system using ER(electro-rheological)valve actuators. Following the field-dependent pressure analysis of the ER valve actuators on the basis of Bingham model of ER fluids, a 3 d.o.f. close-loop sylinder system having the heave, roll and pitch motions is proposed. The governing equations of motion are derived using Lagrange's equation, and a control model is established by considering system uncertain parameters such as load conditions. A sliding mode controller which has inherent robustness to system uncertainties is adopted to achieve robust tracking control performance. Tracking control results for sinusoidal trajectory were presented in order to demonstrate the effectiveness of the proposed control system.

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Position Control of Laser Scanning Mirror Using Piezoelectric Actuator (압전작동기를 이용한 레이져 스케닝 미러의 위치제어)

  • 지학래;김재환;최승복
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.442-445
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    • 1995
  • This paper presents the position tracking control of a laser scanning mirror system in which piezoelectic actuator is incorporated. Using the shear mode of the piezoelectric actuator,angular oscillation of a laser scanning mirror is derived. Torsion bar is rhen designed and attached to the piezoelctric actuator in order to magnify the amplitude generated by the actuator. Finite element modeling and analysis are essntial for designing the piezoelectic actuator. The torsional resonance mode of the piezoelectric actuator is found from the model analysis of the actuator and the mechanical shear is matched with the driving frequency. Transfer function between the electrical excitation and the mechanical shear deformation at resonance frequency is found form the response of the actuator calculated by the finite element analysis and the governing equation of the system is derived from d'Alembert's principle. Tracking control performance for desired trajectory which is, in fact, sinusoidal curve is presented in order to demonstrate the validity of the proposed system.

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Experimental and Computational Studies of the Pulse Wave Impinging upon a Vertical Flat Plate (수직평판에 충돌하는 펄스파에 관한 실험적/수치해석적 연구)

  • 이동훈;김희동;강성황
    • Journal of KSNVE
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    • v.11 no.2
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    • pp.285-291
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    • 2001
  • The impingement of a weak shock wane discharged from the open end of a shock tube upon a flat plate was investigated using shock tube experiments and numerical simulations. Harten-Yee Total Variation Diminishing method was used to solve axisymmetric, unsteady, compressible flow governing equations. Experiments were carried out to validate the present computations. The effects of the flat plate and baffle plate sizes on the impinging flow field over the flat plate were investigated. Shock Mach number was varied in the range from 1.05 to 1.20. The distance between the plate and shock tube was changed to investigate the effect on the peak pressure. From both the results of experiments and computations we obtained a good empirical equation to predict the peak pressure on the flat plate.

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Free Vibrations of Tapered Cantilever-Type Beams with Tip Mass at the Free End (자유단에 집중질량을 갖는 캔틸레버형 변단면 보의 자유진동)

  • Oh, Sang-Jin;Lee, Jae-Young;Park, Kwang-Kyou;Mo, Jeong-Man
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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    • pp.965-970
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    • 2002
  • The purpose of this paper is to investigate the free vibration characteristics of tapered beams with general boundary condition(translational and rotational elastic support) at one end and carrying a tip mass with translational elastic support at the other end. The beam model is based on the classical Bernoulli-Euler beam theory which neglects the effects of rotatory inertia and shear deformation. The governing differential equation for the free vibrations of linearly tapered beams is solved numerically using the corresponding boundary conditions. Numerical results are compared with existing solutions by other methods for cases in which they are available. The lowest four natural frequencies are calculated over a wide range of section ratio, dimensionless spring constant and mass ratio.

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Vibration Control of a Beam Structure Using Hybrid Mounts (하이브리드 마운트를 이용한 빔구조물의 진동제어)

  • Kim, Seung-Hwan;Hong, Sung-Ryong;Choi, Seung-Bok
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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    • pp.440-445
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    • 2002
  • A hybrid mount featuring elastic rubber and piezoelectric material is devised and applied to the vibration control of a beam structure. The governing equation of the beam structure associated with the hybrid mount is derived. Subsequently, a robust sliding mode controller is designed to attenuate the vibration of the beam structure due to external excitation. The controller is then simulated and control responses such as displacement and transmitted force are evaluated in time and frequency domains.

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Analytical Theory of Ball Bearing Considering Waviness of Rolling Elements (구름요소의 Waviness 를 고려한 볼베어링 해석 이론)

  • 정성원;장건희
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.11 no.7
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    • pp.275-286
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    • 2001
  • The research presents an analytical theory to calculate the characteristics of the bal bearing with waviness in its rolling elements considering the centrifugal force and gyroscopic moment of bal. The effects of centrifugal force and gyroscopic moment are introduced to the kinematic constraints and force equilibrium equations. and the waviness of rolling elements is modeled by sinusoidal function to calculate the contact force at each ball. The numerical solutions of governing equation of berating due to waviness are calculated by using the Newton-Raphson method. The accuracy of the research is validated by comparing the contact force. contact angle in case of considering the centrifugal force and gyroscopic moment of bal and the contact force and vibration frequencies in cases of considering waviness with the prior researches respectively. It investigates the stiffness, contact force. displacement and vibration frequencies of the ball bearing considering not only the centrifugal force and gyroscopic moment of ball but also the waviness of the rolling elements.

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Valve Motions and Gas Pulsations of a Reciprocating Compressor (왕복동식 압축기의 밸브거동과 압력맥동에 대한 연구)

  • 이성욱;홍성철;주재만;박철희
    • Journal of KSNVE
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    • v.9 no.4
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    • pp.754-760
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    • 1999
  • The valve motions of a reciprocating compressor generate the pressure fluctuation at the plenum which is a main source of noise and vibration of a compressor unit. But a cycle of a compressor process consists of complicated phenomena interacting in a short period of time. A mathematical model is developed by simplifying and idealizing the complicated phenomena to simulate the compressor process. The governing equations about the pressure and working fluid flow are developed from the unsteady Bernoulli equation. The pressure fluctuations at the plenums are derived from the Helmholz's resonator model. The valves are modeled as one degree of freedom spring-mass-damper system. This model is verified by the experimental results.

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Design of Hybrid Mount Using Rubber Element and Piezoelctric Actuator with Application to Vibration Control (고무와 압전작동기를 이용한 하이브리드 마운트의 설계 및 진동제어 응용)

  • Yook, Ji-Yong;Sung, Kum-Gil;Moon, Seok-Jun;Choi, Seung-Bok
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.17 no.5 s.122
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    • pp.391-397
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    • 2007
  • This paper presents active vibration control using a hybrid mount which consists of rubber element and the piezostack actuator. After identifying stiffness and damping properties of the rubber element and piezoelectric elements, a mechanical model of the hybrid mount is established. The mount model is then incorporated with the vibration system, and the governing equation of motion is obtained in a state space. A sliding mode controller and LQG controller are designed in order to actively attenuate the vibration of the system subjected to various frequencies and small magnitude excitations. Control responses such as acceleration and force transmission through the hybrid mount are evaluated by computer simulation.

Control Performance of Hybrid Mount Using Electromagnetic Actuator and PZT Actuator (전자기 작동기와 압전 작동기를 이용한 하이브리드 마운트의 제어성능 평가)

  • Paeng, Yong-Seok;Yook, Ji-Yong;Moon, Seok-Jun;Choi, Seung-Bok
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.17 no.7 s.124
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    • pp.617-623
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    • 2007
  • This paper presents an active vibration control of a dynamic system using hybrid mount which consists of elastic rubber-piezostack actuator and elastic rubber-electromagnetic actuator, respectively. After identifying stiffness, damping properties of the elastic rubber, PZT actuator and electromagnetic element, a mathematical model of the hybrid mount is established. The mount model is then incorporated into the dynamic system and the governing equation of motion is obtained in a state space. A sliding mode controller is designed in order to actively attenuate the vibration of the system. Control responses such as acceleration and transmitted force of the dynamic system are experimentally evaluated and presented in time and frequency domains.

Control Performance of Hybrid Mount Using Electromagnetic Actuator and PZT Actuator (전자기 작동기와 압전 작동기를 이용한 하이브리드 마운트의 제어성능 평가)

  • Paeng, Yong-Seok;Yook, Ji-Yong;Moon, Seok-Jun;Choi, Seung-Bok
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.05a
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    • pp.1131-1136
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    • 2007
  • This paper presents an active vibration control of a 1-DOF system using hybrid mount which consists of elastic rubber and PZT(piezostack) actuator and elastic rubber and electromagnetic actuator, respectively After identifying stiffness, damping properties of the elastic rubber, PZT actuator and electromagnetic element, a mathematical model of the hybrid mount is established. The mount model is then incorporated into the 1-DOF system and the governing equation of motion is obtained in a state space. A sliding mode controller is designed in order to actively attenuate the vibration of the system. Control responses such as acceleration and transmitted force of the 1-DOF system are experimentally evaluated and presented in time and frequency domains.

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