• 제목/요약/키워드: Static and Dynamic Stiffness Coefficients

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공기포일베어링에 지지된 마이크로가스터빈의 회전체동역학적 설계 (Rotordynamic Design of the Micro Gas Turbine Supported by Air Foil Bearings)

  • 김영철;한정완;김경웅;김수용
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 2003년도 유체기계 연구개발 발표회 논문집
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    • pp.662-667
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    • 2003
  • This paper presents a performance analysis of the 1st generation bump foil journal bearings for the micro gas turbine TG75. Static performances such as load capacity and attitude angle are estimated by using soft elasto-hydrodynamic analysis technique, and dynamic performances such as stiffness and damping coefficients are estimated by perturbation method. Rotordynamic analysis for TG75 is performed by using the bearing analysis results. TG75 rotor has 2 horizontal and vertical directional natural modes due to the bearing stiffness characteristics. TG75 rotor will be stably operated between the 1st bending mode at 33000cpm and the 2nd bending mode at 85500cpm. Unbalance response analysis results satisfy the API vibration criteria.

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자동차 터보차저 베어링 시스템에 적용되는 스퀴즈 필름 댐퍼의 동적계수 측정을 위한 실험장치 개발 (Test Rig Development for Identification of Rotordynamic Force Coefficients of Squeeze Film Dampers in Automotive Turbocharger Bearing Systems)

  • 황지수;류근;정승화
    • Tribology and Lubricants
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    • 제34권1호
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    • pp.33-41
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    • 2018
  • This paper describes a new test rig for identification of rotordynamic force coefficients of squeeze film dampers (SFDs) in automotive turbochargers (TCs). Prior studies have mainly concentrated on relatively large-sized SFDs used in aircraft engines, turbocompressors, and turbopumps. The main objective of the current study is to propose a test rig for identification of dynamic force coefficients of small-sized SFDs (a journal diameter of ~11 mm). The current test rig consists of a journal, a SFD cartridge, four support rods, an upper structure, a data acquisition (DAQ) system, and an oil circulation unit. The annular gaps between the journal outer surface and SFD cartridge inner surface create SFD film lands. The damper has two parallel film lands separated by a central groove, having an axial length and depth of 3 mm. Each film land has a length of 4 mm with a $40{\mu}m$ radial clearance. The static load and dynamic impact tests identify the structural characteristics (i.e., stiffness and natural frequency) of the journal and assembled test rig. The measurements show good agreement with predictions. The SFD performance data from this test rig will be used to develop innovative TC rotor systems with improved NVH and reliability characteristics incorporating advanced SFD technology.

교량단면의 공기력계수 및 플러터계수에 관한 실험적 연구 (Experimental Investigation of Aerodynamic Force Coefficients and Flutter Derivatives of Bridge Girder Sections)

  • 조재영;이학은;김영민
    • 대한토목학회논문집
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    • 제26권5A호
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    • pp.887-899
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    • 2006
  • 본 연구의 목적은 교량 거더 단면의 공기역학적 특성을 나타내는 기본 자료인 공기력계수와 플러터계수가 동적응답과 어떠한 상관관계를 가지는지를 규명하는데 있다. 이를 위해 세 단계의 단면모형실험이 수행되었다. 첫 번째 단계에서는 총 7개의 거더 단면 즉, 6개의 플레이트거더 단면과 1개의 박스거더 단면이 고려되었으며 거더 단면의 기하학적 형상, 영각, 바람의 방향 그리고 기류조건이 공기력계수인 항력계수, 양력계수 그리고 모멘트계수에 미치는 영향을 정적 단면모형실험을 통해 살펴보았다. 두 번째 단계에서는 동적실험을 통해 각 단면의 공기력계수와 동적응답의 상관성을 검증하였다. 마지막으로 2자유도하의 동적 단면모형실험을 통해 세 개의 거더 단면의 플러터계수를 산출하고 이를 동적실험결과와 비교하였다. 주어진 단면형상에 대한 비정상 공기력에 의해 변화되는 시스템의 감쇠와 강성을 가장 잘 반영하는 플러터계수는 초기변위-자유진동시스템을 이용하여 추출하였다. 이를 위해 등류조건에서 풍속별로 교량단면의 수직 및 비틀림 초기변위의 시간에 따른 진폭의 감쇠를 측정하였다. 본 연구에서 제시한 교량단면의 공기력계수와 플러터계수는 공탄석해석 및 버펫팅해석을 위한 기본 자료로 유용하게 쓰일 것으로 보인다.

익산 쥬라기 화강암의 정 및 동탄성학적 특성 (Static and dynamic elastic properties of the Iksan Jurassic Granite, Korea)

  • 강동효;정태종;이정모
    • 지구물리
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    • 제3권2호
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    • pp.99-112
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    • 2000
  • 전북 익산시의 쥬라기 화강암은 육안 식별이 가능한 단열이 비교적 적게 발달하고 균질하여 대형 석구조물 및 건축 재료로서 많이 사용되고 있다. 익산 쥬라기 화강암에 물리적인 힘을 가하면 어느 한 방향으로 잘 쪼개지는 결이 존재하는 것이 석공들에게 잘 알려져 있다. 이들 결은 서로 직교하며 취약한 순서에 따라 일결, 이결, 삼결이라 한다. 따라서, 익산 화강암의 물성은 사방정계적 대칭으로 표현될 수 있다. 사방정계의 탄성특성은 9 개의 독립된 탄성강성계수$(C_{1111},\;C_{2222},\;C_{3333},\;C_{2323},\;C_{1313},\;C_{1212},\;C_{1122},\;C_{2233},\;C_{1133})$로 기술된다. 익산 쥬라기 화강암의 정 및 동탄성학적 특징을 구명하기 위하여 화강암괴로부터 여섯방향의 시추공 시료를 제작하여 정탄성 실험과 동탄성 실험을 수행하였다. 정탄성 실험에서는 각 시료의 일축압축에 따른 세방향(축방향과 두 횡방향)의 변형을 측정하였고, 동탄성 실험에서는 각 시료 방향으로 진행하는 종파와 2 개의 수직방향으로 진동하는 횡파의 속도를 측정하였다. 일반 이방성 탄성지배공식으로부터 사방정계 경우를 유도한 결과를 이용하여, 실험 결과와 별도로 측정된 밀도를 사용하여 정탄성계수와 동탄성계수를 구하였다. 정탄성계수는 축응력이 증가함에 따라 탄성계수도 증가하며, 이들 중 24.5 MPa 의 축응력에 대한 정탄성계수가 상압 하에서 동탄성계수와 유사한 것으로 나타났다. 현미경관찰에서 일결, 이결, 삼결과 평행 또는 아평행한 균열들이 미세균열의 주종을 이루고 있는 것이 밝혀졌으며, 익산 쥬라기 화강암이 이방성 탄성특성을 가지는 주된 원인은 이들 미세균열로 사료된다. 이들 결과는 익산 화강암의 석재 이용 효율성을 증가시키는 데 이용되며, 석구조물의 비파괴 안전진단에 이용될 수 있다.

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난류 유동을 갖는 가스 포일 저널 베어링의 성능 예측 (Performance Predictions of Gas Foil Journal Bearings with Turbulent Flows)

  • 문진혁;김태호
    • Tribology and Lubricants
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    • 제35권3호
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    • pp.190-198
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    • 2019
  • Gas foil bearings (GFBs) enable small- to medium-sized turbomachinery to operate at ultra-high speeds in a compact design by using ambient air or process gas as a lubricant. When using air or process gas, which have lower viscosity than lubricant oil, the turbomachinery has the advantage of reduced power loss from bearing friction drag. However, GFBs may have high Reynolds number, which causes turbulent flows due to process gas with low viscosity and high density. This paper analyzes gas foil journal bearings (GFJBs) with high Reynolds numbers and studies the effects of turbulent flows on the static and dynamic performance of bearings. For comparison purposes, air and R-134a gas lubricants are applied to the GFJBs. For the air lubricant, turbulence is dominant only at rotor speeds higher than 200 krpm. At those speeds, the journal eccentricity decreases, but the film thickness, power loss, and direct stiffness and damping coefficients increase. On the other hand, the R-134a gas lubricant, which that has much higher density than air, causes dominant turbulence at rotor speeds greater than 10 krpm. The turbulent flow model predicts decreased journal eccentricity but increased film thickness and power loss when compared with the lamina flow model predictions. The vertical direct stiffness and damping coefficients are lower at speeds below 100 krpm, but higher beyond that speeds for the turbulent model. The present results indicate that turbulent flow effects should be considered for accurate performance predictions of GFJBs with high Reynolds number.

Hull/Mooring/Riser Coupled Dynamic Analysis of a Turret-Moored FPSO Compared with OTRC Experiment

  • Kim Young-Bok;Kim Moo-Hyun
    • Journal of Ship and Ocean Technology
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    • 제8권3호
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    • pp.26-39
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    • 2004
  • A vessel/mooring/riser coupled dynamic analysis program in time domain is developed for the global motion simulation of a turret-moored, tanker based FPSO designed for 6000-ft water depth. The vessel global motions and mooring tension are simulated for the non-parallel wind-wave-current 100-year hurricane condition in the Gulf of Mexico. The wind and current forces and moments are estimated from the OCIMF empirical data base for the given loading condition. The numerical results are compared with the OTRC(Offshore Technology Research Center: Model Basin for Offshore Platforms in Texas A&M University) 1:60 model-testing results with truncated mooring system. The system's stiffness and line tension as well as natural periods and damping obtained from the OTRC measurement are checked through numerically simulated static-offset and free-decay tests. The global vessel motion simulations in the hurricane condition were conducted by varying lateral and longitudinal hull drag coefficients, different mooring and riser set up, and wind-exposed areas to better understand the sensitivity of the FPSO responses against empirical parameters. It is particularly stressed that the dynamic mooring tension can be greatly underestimated when truncated mooring system is used.

과급기 축계의 안정성 해석 (Stability Analysis of Turbocharger Rotor-Bearing System)

  • 석호일;송진대;김용한;양보석
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 추계학술대회논문집
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    • pp.1038-1043
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    • 2002
  • The floating ring journal bearing is attraction for high-speed turbo machinery applications, including turbochargers and aircraft accessory equipment, because it is not only simple and easy to make and to replace in the field but also it seems to have adequate high speed stability characteristics. Therefore, an analysis method of dynamic properties of floating ring journal bearing is presented. The static equilibrium locus of inner film and outer film are calculated by using the impedance description. The equivalent stiffness and damping coefficients of floating ring journal bearing are composed by using the equilibrium of torque between inner film and outer film. Then, a stability analysis of turbocharger shaft system supported with floating ring journal bearing has been performed.

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그루브형상을 고려한 빗살무늬저널베어링의 유한요소해석 (An Analysis of Herringbone Groove Journal Bearing Considering Groove Shape)

  • 신동우;임윤철
    • Tribology and Lubricants
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    • 제16권6호
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    • pp.425-431
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    • 2000
  • Herringbone groove journal bearing (HGJB) is developed to improve the static and dynamic performances of hydrodynamic journal bearing. Conventional studies on HGJB were based on the Narrow Groove theory assuming that the number of grooves approaches infinity. In this study, an oil lubricated HGJB is analyzed using Finite Element Method. Load carrying capacity, attitude angle, stiffness and damping coefficients are obtained numerically for various bearing configurations especially for the inclined width ratio and asymmetric ratio and compared with the results obtained using Finite Volume Method. The bearing load and stability characteristics are dependent on geometric parameters such as inclined width ratio, asymmetric ratio, groove depth ratio, groove width ratio, and groove angle.

그루브형상을 고려한 빗살무늬저널베어링의 유한요소해석 (An Analysis of Herringbone Groove Journal Bearing Considering Groove Shape)

  • 신동우;임윤철
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 1999년도 제29회 춘계학술대회
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    • pp.162-169
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    • 1999
  • Herringbone groove journal bearing (HGJB) is developed to improve the static and dynamic performances of hydrodynamic journal bearing. Conventional studies on HGJB were based on the Narrow Groove theory assuming that the number of grooves approaches infinity. In this study, an oil lubricated HGJB is analyzed using Finite Element Method. Load carrying capacity, attitude angle, stiffness and damping coefficients are obtained numerically for various bearing configurations especially for the inclined width ratio and asymmetric ratio and compared with the results obtained using Finite Volume Method. The bearing load and stability characteristics are dependent on geometric parameters such as inclined width ratio, asymmetric ratio, groove depth ratio, groove width ratio, groove angle.

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심포일을 갖는 가스 포일 저널 베어링의 성능 예측 (Performance Predictions of Gas Foil Journal Bearing with Shim Foils)

  • 황성호;문창국;이종성;김태호
    • Tribology and Lubricants
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    • 제34권3호
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    • pp.107-114
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    • 2018
  • This paper presents a computational model of a gas foil journal bearing with shim foils between the top foil and bumps, and predicts its static and dynamic performance. The analysis takes the previously developed simple elastic foundation model for the top foil-bump structure and advances it by adding foil models for the "shim foil" and "outer top foil." The outer top foil is installed between the (inner) top foil and bumps, and the shim foil is installed between the inner top foil and outer top foil. Both the inner and outer top foils have an arc length of $360^{\circ}$, but the arc length of the shim foil is shorter, which causes a ramp near its leading edge in the bearing clearance profile. The Reynolds equation for isothermal and isoviscous ideal gas solves the hydrodynamic pressure that develops within the bearing clearance with preloads due to the ramp. The centerline pressure and film thickness predictions show that the shim foil mitigates the peak pressure occurring at the loading direction, and broadens the positive pressure as well as minimum film thickness zones except for the shortest shim foil arc length of $180^{\circ}$. In general, the shim foil decreases the journal eccentricity, and increases the power loss, direct stiffness, and damping coefficients. As the shim foil arc length increases, the journal eccentricity decreases while the attitude angle, minimum film thickness, and direct stiffness/damping coefficients in the horizontal direction increase.