• Title/Summary/Keyword: 불안정진동

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Fuel Droplet Entrainment and Low Frequency Instability in Hybrid Rocket Combustion (하이브리드 로켓 연소에서 연료액적의 발생과 저주파수 연소불안정)

  • Kim, Jina;Lee, Changjin
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.49 no.7
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    • pp.573-580
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    • 2021
  • Paraffin wax is attracting many attentions for promising solid fuel of hybrid rocket because of its higher regression than other fuels. However, even with paraffin fuel combustion, unsteady low-frequency oscillation of combustion pressure is still observed. And, this is related to the formation of liquid layer and the entrainment of fuel droplets entering the axial combustion gas flow. This study investigates the effect of additional combustion of fuel droplets on the occurrence of low-frequency combustion instability. On the other hand, the formation of fuel droplets depends on Weber Number (the ratio of the inertial force to the surface tension of the liquid) and Reynolds Number of the oxidizer flow. Therefore, a laboratory-scale hybrid rocket was used to monitor the occurrence of combustion instability while changing We number. A series of combustion tests were conducted to control We number by changing the oxidizer flow rate or adding LDPE (low density polyethylene) to base fuel. In the results, it was confirmed that there is a critical We number above which the low-frequency combustion instability occurs.

A Study of Dynamic Instability for Sigmoid Functionally Graded Material Plates on Elastic Foundation (탄성지반위에 놓인 S형상 점진기능재료(FGM)판의 동적 불안정성에 관한 연구)

  • Lee, Won-Hong;Han, Sung-Cheon;Park, Weon-Tae
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.28 no.1
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    • pp.85-92
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    • 2015
  • This article presents the dynamic instability response of sigmoid functionally graded material plates on elastic foundation using the higher-order shear deformation theory. The higher-order shear deformation theory has ability to capture the quadratic variation of shear strain and consequently shear stress through the plate thickness. The governing equations are then written in the form of Mathieu-Hill equations and then Bolotin's method is employed to determine the instability regions. The boundaries of the instability regions are represented in the dynamic load and excitation frequency plane. The results of dynamic instability analysis of sigmoid functionally graded material plate are presented using the Navier's procedure to illustrate the effect of elastic foundation parameter on dynamic response. The relations between Winkler and Pasternak elastic foundation parameter are discussed by numerical results. Also, the effects of static load factor, power-law index and side-to-thickness ratio on dynamic instability analysis are investigated and discussed. In order to validate the present solutions, the reference solutions are used and discussed. The theoretical development as well as numerical solutions presented herein should serve as reference for the dynamic instability study of S-FGM plates.

초고속 터보 분자펌프의 자기부상 회전 특성 해석

  • No, Seung-Guk;Gyeong, Jin-Ho;Park, Yong-Tae;Go, Deuk-Yong
    • Proceedings of the Korean Vacuum Society Conference
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    • 2012.08a
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    • pp.97-97
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    • 2012
  • 반도체 및 디스플레이 공정등에서 고진공 및 급 배기 환경을 제공하기 위하여 사용되는 터보분자펌프 (Turbomolecular Pump, TMP)는 다층의 회전깃을 갖는 로터를 회전시켜 분자를 배출시키는 방식을 사용하는 진공펌프이다. 또한 최근에는 디스플레이 및 반도체 공정에서 높은 진공도뿐만 아니라, 높은 배기속도를 요구하는 추세에 따라, 터보 펌프와 드래그 펌프부분을 동시에 가지고 있어 상대적으로 작동 진공도 영역이 넓은 복합 분자펌프(Compound Turbomolecular Pump, CMP)의 활용도가 넓어지고 있다. 이러한 분자펌프가 장시간의 고속회전에 적합하고, 베어링에서의 오염을 없앨 수 있는 비접촉 방식인 자기부상 방식이 주로 적용된다. 자기베어링 시스템은 하드웨어와 소프트웨어로 나누어질 수 있는데, 하드웨어는 회전하게 되는 블레이드 로터 및 자기베어링 로터, 모터 로터 등이 포함된 축과 고정되어 있는 자기베어링 코어와 코일, 변위센서 등의 펌프 하우징 부분, 또한 이를 제어하기 위한 전력 증폭 시스템 등의 기전적인 요소들이 이루어져 있다. 소프트웨어라 할 수 있는 제어시스템에 있어서 자기 베어링이 불안정한 특성을 갖는 개루프계를 갖고 있으므로 안정화를 위한 능동제어 시스템이 필수적이며 진동제어 등의 기능을 갖도록 적용된다. 따라서 이러한 복합분자펌프의 성능은 이러한 시스템을 구성하는 개별 요소의 성능과 이를 통합한 제어시스템의 성능이 결정한다고 할 수 있다. 본 논문에서는 현재 개발중인 2,500 l/s급의 자기부상형 고진공 복합분자펌프의 시작품에 대하여 고속회전의 안정성에 대한 연구를 수행한 내용을 보고하고 있다. 디지털 제어시스템을 적용한 시작품의 최대 26,000 rpm까지의 고속회전시의 회전 응답 및 진동 특성을 측정 분석하였으며, 로터의 고유진동수 및 진동 모우드를 분석하였다. 또한 연속 작동시의 발열특성과 각 부분의 온도와 회전 안정성과의 관계를 평가하였다.

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On the Study of Nonlinear Normal Mode Vibration via Poincare Map and Integral of Motion (푸앙카레 사상과 운동적분를 이용한 비선형 정규모드 진동의 연구)

  • Rhee, Huinam
    • Journal of KSNVE
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    • v.9 no.1
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    • pp.196-205
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    • 1999
  • The existence. bifurcation. and the orbital stability of periodic motions, which is called nonlinear normal mode, in a nonlinear dual mass Hamiltonian system. which has 6th order homogeneous polynomial as a nonlinear term. are studied in this paper. By direct integration of the equations of motion. Poincare Map. which is a mapping of a phase trajectory onto 2 dimensional surface in 4 dimensional phase space. is obtained. And via the Birkhoff-Gustavson canonical transformation, the analytic expression of the invariant curves in the Poincare Map is derived for small value of energy. It is found that the nonlinear system. which is considered in this paper. has 2 or 4 nonlinear normal modes depending on the value of nonlinear parameter. The Poincare Map clearly shows that the bifurcation modes are stable while the mode from which they bifurcated out changes from stable to unstable.

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초고속 터보 분자펌프의 자기부상 회전 안정성 연구

  • No, Seung-Guk;Gyeong, Jin-Ho;Park, Yong-Tae;Go, Deuk-Yong
    • Proceedings of the Korean Vacuum Society Conference
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    • 2012.02a
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    • pp.117-117
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    • 2012
  • 반도체 및 디스플레이 공정등에서 고진공 및 급 배기 환경을 제공하기 위하여 사용되는 터보 분자펌프(Turbomolecular Pump, TMP)는 다층의 회전깃을 갖는 로터를 회전시켜 분자를 배출시키는 방식을 사용하는 진공펌프이다. 또한 최근에는 디스플레이 및 반도체 공정에서 높은 진공도뿐만 아니라, 높은 배기속도를 요구하는 추세에 따라, 터보 펌프와 드래그 펌프부분을 동시에 가지고 있어 상대적으로 작동 진공도 영역이 넓은 복합 분자펌프(Compound Turbomolecular Pump, CMP)의 활용도가 넓어지고 있다. 이러한 분자펌프가 장시간의 고속회전에 적합하고, 베어링에서의 오염을 없앨 수 있는 비접촉 방식인 자기부상 방식이 주로 적용된다. 자기베어링 시스템은 하드웨어와 소프트웨어로 나누어질 수 있는데, 하드웨어는 회전하게 되는 블레이드로터 및 자기베어링 로터, 모터 로터 등이 포함된 축과 고정되어 있는 자기베어링 코어와 코일, 변위센서 등의 펌프 하우징 부분, 또한 이를 제어하기 위한 전력 증폭 시스템 등의 기전적인 요소들이 이루어져 있다. 소프트웨어라 할 수 있는 제어시스템에 있어서 자기베어링이 불안정한 특성을 갖는 개루프계를 갖고 있으므로 안정화를 위한 능동제어 시스템이 필수적이며 진동 제어 등의 기능을 갖도록 적용된다. 따라서 이러한 복합분자펌프의 성능은 이러한 시스템을 구성하는 개별 요소의 성능과 이를 통합한 제어시스템의 성능이 결정한다고 할 수 있다. 본 논문에서는 현재 개발중인 2,500 l/s급의 자기부상형 고진공 복합분자펌프의 시작품에 대하여 고속회전의 안정성에 대한 연구를 수행한 내용을 보고하고 있다. 디지털 제어시스템을 적용한 시작품의 최대 26,000 rpm 까지의 고속회전시의 회전 응답 및 진동 특성을 측정 분석하였으며, 로터의 고유진동수 및 진동 모우드를 분석하였다. 또한 연속 작동시의 발열특성과 각 부분의 온도와 회전 안정성과의 관계를 평가하였다.

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Chemical Characterization of Oscillatory Zoned Tourmaline from Diaspore Nodule, an Aluminum-rich Clay Deposit, Milyang, South Korea (밀양 고알루미나 점토광상 다이아스포아 단괴내의 진동누대 전기석의 화학적 특징)

  • Choo, Chang-Oh;Kim, Yeong-Kyoo
    • Journal of the Mineralogical Society of Korea
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    • v.18 no.3 s.45
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    • pp.227-236
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    • 2005
  • Hydrothermal tourmaline occurs as aggregates or dissemination in the diaspore nodule from an aluminum-rich clay deposit, Milyang, southeastern Korea. Most crystals of tourmaline show complex textures that are finely zoned. The fine-scale chemical zonation of hydrothermal tourmaline reflects the fluctuation conditions that would be expected from fluid mixing in open systems. Oscillatory chemical zoning in tourmaline formed and showed similar patterns, regardless of its crystallographic directions. Mg was enriched in the early stage of crystal growth while Fe was enriched in the later stage, with fluctuations of the ratio of Fe to Mg. Chemical analysis, BSE images, and X-ray compositional maps confirm that the oscillatory Boning in tourmaline is exclusively controlled by the variations of Fe and Mg contents, but the contribution of boron to the zonation is insignificant. The fact that tourmaline altered to diaspore and dickite indicates that tourmaline was unstable with respect to these aluminous minerals as the B, Fe, and Mg activities decreased. Therefore, the aluminum activity may control the stability of tourmaline in the hydrothermal system.

Measurement of Dynamic Stability Derivatives of Tailless Lamda-shape UAV using Forced Oscillation Method (강제진동 기법을 이용한 무미익 비행체의 동안정 미계수 측정)

  • Yang, Kwangjin;Chung, Hyoungseog;Cho, Donghyun;An, Eunhye;Ko, Joonsoo;Hong, JinSung;Kim, Yongduk;Lee, MyungSup;Hur, Gi-Bong
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.44 no.7
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    • pp.552-561
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    • 2016
  • In this experimental study, the dynamic stability derivatives of a tailless lambda-shape UAV are estimated from time history data of aerodynamic moments measured from the internal balance while the test model is forced to oscillate at given frequencies and amplitudes. A 3-axis forced oscillation apparatus is designed to induce decoupled roll, yaw, pitch oscillations respectively. The results show that the roll damping derivatives remain stable at the entire range of angle of attack tested, whereas the pitch damping derivatives become unstable beyond $15^{\circ}$ angle of attack. The amplitude and frequency have little impact on roll damping derivatives while the smaller amplitude and frequency of oscillation improves the pitch stability. The yaw damping derivative values are fairly small as expected for a tailless configuration. The results indicate that the proposed methodology and test apparatus area valid for estimating the dynamic stability derivatives of a tailless UAV.

Sensitivity Analysis of Oscillation Modes Occurred by Periodic Switching Operations of TCSC in Discrete Power Systems (이산 전력시스템에서 TCSC의 주기적 스위칭 동작에 의한 진동모드의 감도해석)

  • Kim, Deok-Young
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.22 no.2
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    • pp.162-168
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    • 2008
  • In this paper, the RCF(Resistive Companion Form) analysis method is applied to analyze small signal stability of power systems including thyristor controlled FACTS(Flexible AC Transmission System) equipments such as TCSC(Thyristor Controlled Series Capacitor). The eigenvalue sensitivity analysis algorithm in discrete systems based on the RCF analysis method is presented and applied to the power system including TCSC. As a result of simulation, the RCF analysis method is very useful to precisely calculate the variations of eigenvalues or newly generated unstable oscillation modes after periodic switching operations of TCSC. Also the eigenvalue sensitivity analysis method based on the RCF analysis method enabled to precisely calculate eigenvalue sensitivity coefficients of controller parameters about the dominant oscillation mode after periodic switching operations in discrete systems. These simulation results are different from those of the conventional continuous system analysis method such as the state space equation and showed that the RCF analysis method is very useful to analyze the discrete power systems including periodically operated switching equipments such as TCSC.

Study on Establishing a Blast Guideline for Securing an Underground Crusher Room from Ground Vibrations (지하 조쇄실의 진동 안정성 확보를 위한 발파지침 수립 연구)

  • Choi, Byung-Hee;Ryu, Chang-Ha;Kim, Hyun-Woo;Kang, Myoung-Soo
    • Explosives and Blasting
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    • v.33 no.2
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    • pp.15-24
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    • 2015
  • In general, blast vibrations could make underground cavern unstable by causing relative movements between the surrounding rock blocks that are divided by discontinuities such as joints and faults around the cavern. In the study, a blast guideline was established to obtain the stability of a large-scale cavern for underground crusher room in an open pit limestone mine in Korea. The guideline was suggested in the form of a standard calculation method of the maximum charge per delay for a safe blast. The allowable level of peak particle velocity for the cavern was determined based on the result of a numerical analysis using FLAC2D. The ground vibration data required for the study was obtained from field measurements.

LES for Turbulent Duct Flow with Surface Mass Injection (질량분사가 있는 덕트 난류유동의 LES 해석)

  • Kim, Bo-Hoon;Na, Yang;Lee, Chang-Jin
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.39 no.3
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    • pp.232-241
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    • 2011
  • The hybrid rocket shows interesting characteristics of complicated mixing layer developed by the interaction between turbulent oxidizer flow and injected surface mass flow from fuel vaporization. In this study, the compressible LES was conducted to explore the physical phenomena of surface oscillatory flow induced by the flow interferences in a duct domain. From the numerical results, the wall injection generates the stronger streamwise vorticites and the negative components of axial velocity accompanied with the azimuthal vorticity near the surface. And the vortex shedding with a certain time scale was found to be developed by hydrodynamic instability in the mixing layer. The pressure fluctuations in this calculation exhibit a peculiar peak at a specific angular frequency($\omega$=8.8) representing intrinsic oscillation due to the injection.