• Title/Summary/Keyword: critical rotational speed

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모델차수축소기법을 이용한 회전체의 동해석 (Dynamic Analysis of Rotating Bodies Using Model Order Reduction)

  • 한정삼
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2011년도 춘계학술대회 논문집
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    • pp.443-444
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    • 2011
  • This paper discusses a model order reduction for large order rotor dynamics systems results from the finite element discretization. Typical rotor systems consist of a rotor, built-on parts, and a support system, and require prudent consideration in their dynamic analysis models because they include unsymmetric stiffness, localized nonproportional damping and frequency dependent gyroscopic effects. When the finite element model has a very large number of degrees of freedom because of complex geometry, repeated dynamic analyses to investigate the critical speeds, stability, and unbalanced response are computationally very expensive to finish within a practical design cycle. In this paper, the Krylov-based model order reduction via moment matching significantly speeds up the dynamic analyses necessary to check eigenvalues and critical speeds of a Nelson-Vaugh rotor system. With this approach the dynamic simulation is efficiently repeated via a reduced system by changing a running rotational speed because it can be preserved as a parameter in the process of model reduction. The Campbell diagram by the reduced system shows very good agreement with that of the original system. A 3-D finite element model of the Nelson-Vaugh rotor system is taken as a numerical example to demonstrate the advantages of this model reduction for rotor dynamic simulation.

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Krylov subspace-based model order reduction for Campbell diagram analysis of large-scale rotordynamic systems

  • Han, Jeong Sam
    • Structural Engineering and Mechanics
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    • 제50권1호
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    • pp.19-36
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    • 2014
  • This paper focuses on a model order reduction (MOR) for large-scale rotordynamic systems by using finite element discretization. Typical rotor-bearing systems consist of a rotor, built-on parts, and a support system. These systems require careful consideration in their dynamic analysis modeling because they include unsymmetrical stiffness, localized nonproportional damping, and frequency-dependent gyroscopic effects. Because of this complex geometry, the finite element model under consideration may have a very large number of degrees of freedom. Thus, the repeated dynamic analyses used to investigate the critical speeds, stability, and unbalanced response are computationally very expensive to complete within a practical design cycle. In this study, we demonstrate that a Krylov subspace-based MOR via moment matching significantly speeds up the rotordynamic analyses needed to check the whirling frequencies and critical speeds of large rotor systems. This approach is very efficient, because it is possible to repeat the dynamic simulation with the help of a reduced system by changing the operating rotational speed, which can be preserved as a parameter in the process of model reduction. Two examples of rotordynamic systems show that the suggested MOR provides a significant reduction in computational cost for a Campbell diagram analysis, while maintaining accuracy comparable to that of the original systems.

안쪽축이 회전하는 환형관내 천이 유동 연구 (An Study on the Transitional Flows in a Concentric Annulus with Rotating Inner Cylinder)

  • 황영규;김영주
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집E
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    • pp.45-50
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    • 2001
  • This experimental study concerns the characteristics of a transitional flow in a concentric annulus with a diameter ratio of 0.52, whose outer cylinder is stationary and inner one rotating. The pressure losses and skin-friction coefficients have been measured for the fully developed flow of a 0.2 % aqueous solution of sodium carbomethyl cellulose (CMC) at a inner cylinder rotational speed of $0{\sim}600$ rpm. The transitional flow has been examined by the measurement of pressure losses, to reveal the relation of the Reynolds numbers with the skin-friction coefficients, in the laminar and transitional flow regimes. The occurrence of transition has been checked by the gradient change of pressure losses and skin-friction coefficient with respect to the Reynolds numbers. The increasing rate of skin-friction coefficient due to the rotation is uniform for laminar flow regime, whereas it is suddenly reduced for transitional flow regime and, then, it is gradually declined for turbulent flow regime. Consequently, the critical(axial-flow) Reynolds number decrease as the rotational speed increases. Thus, the rotation of inner cylinder promotes the early occurrence of transition due to the onset of taylor vortices.

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안쪽축이 회전하는 환형관내 유동연구 (A Study on the Flows in a Concentric Annulus with rotating inner cylinder)

  • 김영주;우남섭;권혁정;황영규
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2002년도 학술대회지
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    • pp.337-340
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    • 2002
  • The present experimental and numerical investigations are performed for the characteristics of transitional flow in a concentric annulus with a diameter ratio of 0.52, whose outer cylinder is stationary and inner one rotating. The flow field of an annulus has been numerically solved using a finite volume method. The pressure losses and Skin-friction coefficients have been measured for the fully developed flow of water and $0.2{\%}$ aqueous solution of sodium carboximethy1 cellulose (CMC), respectively at inner cylinder rotational speed of $0{\~}600rpm$. The transitional flow has been examined by the measurement of pressure losses to reveal the relation of the Reynolds and Rossby numbers with the skin-friction coefficients. The occurrence of transition has been checked by the gradient changes of pressure losses and skin-friction coefficients with respect to the Reynolds numbers. Consequently the critical(axial-flow) Reynolds number decreases as the rotational speed increases. Thus, the rotation of inner cylinder promotes the early occurrence of transition due to the onset of Taylor vortices.

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안쪽축이 회전하는 환형관내 헬리컬 유동장의 실험적연구 (Experimental study on the helical flow field in a concentric annulus with rotating inner cylinders)

  • 황영규;김영주
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 춘계학술대회논문집B
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    • pp.631-636
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    • 2000
  • The experimental study concerns the characteristics of a transitional flow in a concentric annulus with a diameter ration of 0.52, whose outer cylinder is stationary and inner one rotating. The pressure drops and skin-friction coefficients have been measured for the fully developed flow of water and that of glycerine-water solution (44%) at a inner cylinder rotational speed of $0{\sim}600$ rpm, respectively. The transitional flow have been examined by the measurement of pressure drops and the visualization of flow field, to reveal the relation of the Reynolds and Rossby numbers with the skin-friction coefficients and to understand the flow instability mechanism. The present results show that the skin-friction coefficients have the significant relation with the Rossby numbers, only for laminar regime. The occurrence of transition has been checked by the gradient changes of pressure drops and skin-friction coefficients with respect to the Reynolds numbers. The increasing rate of skin-friction coefficient due to the rotation is uniform for laminar flow regime, whereas it is suddenly reduced for transitional flow regime and, then, is gradually declined for turbulent flow regime. Consequently, the critical (axial-flow) Reynolds number decreases as the rotational speed increases. Thus, the rotation of inner cylinder promotes the early occurrence of transition due to the excitation of taylor vortices.

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원형 슬롯 레스트릭터를 갖는 외부 가압 공기 저널 베어링의 소음 및 진동 특성 (Noise and Vibration Characteristics of Externally Pressurized Air proceeding Bearings with a Circular Slot Restrictor)

  • 박정구;노병후;김경웅
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 춘계학술대회
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    • pp.1277-1282
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    • 2003
  • The purpose of the present paper is to investigate the noise and vibration characteristics of externally pressurized air proceeding bearings with a circular slot restrictor. To do this, the nonlinear transient analysis including rotor imbalance was performed for a rotor-bearing system. The effects of radial clearance and the width of the bearing and mass eccentricity of the rotor on the noise and vibration characteristics of the bearing are also examined. The results show that the noise and vibration of the rotor-bearing system first increase up to critical speed of the system, and then decrease up to instability threshold speed of the system as the rotational speed of the rotor increases, and the noise of the bearing is markedly influenced by the mass eccentricity of the rotor and the radial clearance and the width of the bearing.

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원형 슬롯 레스트릭터를 갖는 외부 가압 공기 저널 베어링의 소음 및 진동 특성 예측 (Prediction of Noise and Vibration Characteristics of Externally Pressurized Air Journal Bearings with a Circular Slot Restrictor)

  • 노병후;박정구;김경웅
    • 대한기계학회논문집A
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    • 제27권6호
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    • pp.1028-1033
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    • 2003
  • The purpose of this paper is to investigate the noise and vibration characteristics of externally pressurized air journal bearings with a circular slot restrictor. To do this, the nonlinear transient analysis including rotor imbalance was performed for a rotor-bearing system. The effects of radial clearance and the length of the bearing and mass eccentricity of the rotor on the noise and vibration characteristics of the bearing are also examined. The results show that the noise and vibration of the rotor-bearing system first increase up to critical speed of the system, and then decrease up to instability threshold speed of the system as the rotational speed of the rotor increases, and the noise of the bearing is markedly influenced by the mass eccentricity of the rotor and the radial clearance and the length of the bearing.

회전연료노즐의 오리피스직경에 따른 분사특성연구 (A Study of Spray Characteristics of the Rotating Fuel Nozzle with Orifice Diameters)

  • 이매훈;장성호;이동훈;최성만
    • 한국추진공학회지
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    • 제14권5호
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    • pp.51-56
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    • 2010
  • 고속회전 시험장치를 이용하여 V 형태의 회전식 연료 노즐의 오리피스 직경에 따른 분사특성을 파악하기 위한 연구를 수행하였다. 시험장치는 고속 회전장치, 연료공급장치, 아크릴 케이스로 구성하였다. 분무 오리피스의 직경과 회전속도를 변화시켜가며 분무실험을 수행하였다. 분무입자의 크기 및 속도 측정은 PDPA(Phase Doppler Particle Analyzer) 시스템을 사용하였고, Nd-Yag Laser를 이용하여 분무특성을 가시화하였다. 실험결과, 분무오리피스의 직경이 커질수록 분무입자의 크기가 작아졌으며, 분무입자 크기가 가장 작은 값을 보이는 분무오리피스의 한계 직경이 존재하였다. 오리피스의 직경이 이 한계직경 보다 클 경우 분무입자의 크기는 더 이상 감소하지 않았다. 이것은 분무 오리피스의 직경이 한계직경보다 커질 경우 오리피스 내의 액막이 균일하게 분포하지 않기 때문으로 판단된다.

4MW급 풍력발전기용 요 감속기 설계 (Yaw Gearbox Design for 4MW Class Wind Turbine)

  • 이형우;김인환;이재신
    • 융합정보논문지
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    • 제12권2호
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    • pp.142-148
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    • 2022
  • 본 논문은 풍력발전기용 요 감속기를 경량화하여 유한요소해석과 위험속도해석을 통해 안정성검증을 하였다. 제품의 경량화는 엔진의 효율을 높일 수 있으며, 부품의 소재를 절약하여 경제적 이득을 취할 수 있다. IEC 61400-1에서 제시한 풍력발전기 부품의 안전율 1.3이상을 목표로 풍력발전기용 요 감속기를 경량화하였다. 위상 최적화를 수행한 캐리어를 유한요소해석을 수행하여 안전율을 나타냈고, 하우징과 최적화한 캐리어를 MASTA11을 활용하여 작성한 풍력발전용 요 감속기 기어트레인 모델과 부분구조합성법으로 연결하여 고유 모드와 고유진 동수를 파악하여 질량불평형과 치통과 주파수에 대하여 위험속도해석을 수행하였고, 캠벨 선도(Campbell Diagram)를 작성하여 안정성 검증을 하였다.

액체질소를 이용한 산화제펌프의 극저온 성능시험 (Cryogenic Performance Test of LOX Turbopump in Liquid Nitrogen)

  • 김진선;홍순삼;김대진;최창호;김진한
    • 대한기계학회논문집B
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    • 제34권4호
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    • pp.391-397
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    • 2010
  • 액체질소를 작동유체로 한 극저온 시험설비를 이용하여 산화제펌프의 성능시험을 수행하였다. 설계회전수의 30~55%영역에서 시험을 수행하였으며, 그 결과를 작동유체로 물을 이용한 상온수류시험의 결과와 비교/분석하였다. 수력성능에 있어서는 회전수에 대한 상사성을 만족시킴으로써, 설계회전수인 20000rpm에서의 성능예측을 가능하게 했다. 펌프의 극저온 흡입성능에서는 설계유량에서 극저온 임계 캐비테이션 수가 0.012으로 나타났으며, 상온수류시험의 경우는 0.024를 보이면서, 모든 시험회전수와 시험유량영역에서 수류시험의 경우보다 향상된 결과를 보였다. 이러한 향상된 극저온 환경에서의 흡입성능은 극저온 유체에서 펌프의 열역학적인 효과로부터 기인하는 것으로 판단된다.