• Title/Summary/Keyword: galerkin FE

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FE Lubrication Analysis and Dynamic Characteristics of Herringbone Groove Air Bearing applied to High-Speed Color Wheel

  • Lee, An-Sung
    • KSTLE International Journal
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    • v.9 no.1_2
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    • pp.1-6
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    • 2008
  • In this study is performed a complex lubrication analysis of a herringbone groove air journal bearing, which shows a big potential as an oilless bearing for a color wheel used as an original color source for a large DLP projection television and rotating at a rated-speed of 10,800 rpm. The Galerkin FE and perturbation methods are used for a lubrication analysis of the bearing. The effects of groove number, angle and depth and bearing clearance on the dynamic stability of the bearing are investigated in terms of the critical mass, and its equilibrium positions, stiffness and damping coefficients are calculated at various rotating speeds. Results have shown that the designed herringbone groove air journal bearing is quite suitable as a support bearing for the considered high-speed color wheel in terms of the complex lubrication performances of the bearing itself.

Lubrication Performance Analysis of A Low-Speed Dry Gas Seal having An Inner Circular Groove (내부 원형 그루브를 갖는 저속 드라이 가스 시일의 윤활 성능해석)

  • Lee An Sung;Kim Jun Ho
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2004.11a
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    • pp.201-208
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    • 2004
  • In this study a general Galerkin FE lubrication analysis method was utilized to analyze the complex lubrication performance of a spiral groove seal having an additional inner circular groove, which was designed for a chemical process mixer operating at a low speed of the maximum 500 rpm. Equilibrium seal clearance analyses under varying outer pressure revealed that the seal maintains a certain levitation seal clearance under the outer pressure of more than about 1.5 bar, regardless of a rotating speed. Also, under the normal outer pressure of 11 bar, the axial stiffness of the seal was predicted to have a high value of more than 7.0e+07 N/m, regardless of a rotating speed and thereby, the seal is expected to maintain a stable thickness of lubrication film under a certain external excitation acting.

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Lubrication Performance Analyses of Spiral Groove Dry Gas Seals - Part I: EE Analysis and Basic Performance Evaluation (스파이럴 그루브 드라이 가스 시일의 윤활 성능해석 - Part I: 유한요소 해석 및 기본 성능평가)

  • Lee An Sung;Yang Jae-Hun;Choi Dong-Hoon
    • Tribology and Lubricants
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    • v.20 no.2
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    • pp.58-67
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    • 2004
  • In this study a general Galerkin FE lubrication analysis method for the compressible Reynolds equation in cylindrical coordinates is presented. Then, the method is applied for analyzing lubrication performances of spiral groove dry gas seals. The effects of toning and number of groove on performance indices are evaluated at low and high rotating speeds: 3,600 and 15,000 rpm. Results show that, for the primary design consideration performances such as the opening force and axial and angular stiffnesses, a negative or small coning and a large number of groove are preferred.

A Lubrication Performance Analysis of Deep Straight Groove Mechanical Face Seal (깊은 직선 홈 미케니컬 페이스 시일의 윤활 성능해석)

  • 이안성;김준호
    • Tribology and Lubricants
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    • v.19 no.6
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    • pp.311-320
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    • 2003
  • In this study a general Galerkin FE formulation of the incompressible Reynolds equation is derived for lubrication analyses of noncontacting mechanical face seals. Then, the formulation is applied to analyze the flexibly mounted stator­type reactor coolant pump seals of local nuclear power plants, which have deep straight grooves or plane coning on their primary seal ring faces. Their various lubrication performances have been predicted. Results show that the analyzed deep straight groove seal should have a net coning of less than 0.6 to satisfy the leakage limit. And for the same amount of equilibrium opening force the plane coning seal requires to have a 3 times higher dimensionless coning than the deep straight groove seal.

Transient heat transfer analysis using Galerkin finite element method for reinforced concrete slab exposed to high elevated temperature

  • Han, Byung-Chan;Kwon, Young-Jin;Lee, Byung-Jae;Kwon, Seung-Jun;Chae, Young-Suk
    • Computers and Concrete
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    • v.18 no.6
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    • pp.1097-1112
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    • 2016
  • Fire loading causes a critical collapse of RC (Reinforced Concrete) Structures since the embedded steels inside are relative week against high elevated temperature. Several numerical frameworks for fire resistance have been proposed, however they have limitations such as unstable convergence and long calculation period. In the work, 2-D nonlinear FE technique is proposed using Galerkin method for RC structures under fire loading. Closed-form element stiffness with a triangular element is adopted and verified with fire test on three RC slabs with different fire loading conditions. Several simulations are also performed considering fire loading conditions, water contents, and cover depth. The proposed numerical technique can handle time-dependent fire loading, convection, radiation, and material properties. The proposed technique can be improved through early-aged concrete behavior like moisture transport which varies with external temperature.

Lubrication Performance Analysis of Deep Straight Groove Seal (깊은 직선 홈 시일의 윤활 성능해석)

  • Lee An Sung;Kim Jun Ho
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2003.11a
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    • pp.193-200
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    • 2003
  • In this study a general Galerkin FE formulation of the incompressible Reynolds equation is derived for lubrication analyses of noncontacting mechanical face seals. Then, the formulation is applied to analyze the flexibly mounted stator-type reactor coolant pump seals of local nuclear power plants, which have deep straight grooves or plane coning on their primary seal ring faces. Their various lubrication performances have been predicted. Results show that the analyzed deep straight groove seal should have a net coning of less than $0.6\;{\mu}m$ to satisfy the leakage limit. And for the same amount of equilibrium opening force the plane coning seal requires to have a 3 times higher dimensionless coning than the deep straight groove seal.

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Lubrication Performance Analysis and Experiment of a Low-Speed Dry Gas Seal having an Inner Circular Groove (내부 원형 그루브를 갖는 저속 드라이 가스 시일의 윤활 성능해석 및 실험)

  • Lee, An-Sung;Kim, Jun-Ho
    • Tribology and Lubricants
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    • v.21 no.2
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    • pp.53-62
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    • 2005
  • In this study a general Galerkin FE lubrication analysis method was utilized to analyze the complex lubrication performance of a spiral groove seal having an additional inner circular groove, which was designed for a chemical process mixer operating at a low speed of the maximum 500 rpm. Equilibrium seal clearance analyses under varying outer pressure revealed that the seal maintains a certain levitation seal clearance under the outer pressure of more than about 1.5 bar, regardless of a rotating speed. Also, under the normal outer pressure of 11 bar, the axial stiffness of the seal was predicted to have a high value of more than 7.0 e + 07 N/m, regardless of a rotating speed and thereby, the seal is expected to maintain a stable thickness of lubrication film under a certain external excitation acting. A seal levitation test rig was designed and constructed. Experimental results at 500 rpm agreed well with analytical predictions and the applied lubrication analysis method was verified.

Lubrication Performance Analysis of a Spiral Groove Dry Gas Seal for a High-Speed Flying Object (고속비행체용 스파이럴 그루브 드라이 가스 시일의 윤활 성능해석)

  • Lee An Sung;Kim Jun Ho
    • Tribology and Lubricants
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    • v.21 no.1
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    • pp.8-15
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    • 2005
  • In this study a general Galerkin FE lubrication analysis method is utilized to analyze the complex lubrication performance of a spiral groove seal, which is being designed and developed for a high-speed flying object application operating at a high-speed of over 50,000 rpm. As at the equilibrium seal clearance the axial stiffness of the seal is predicted to have almost such a constant high value of $1.04\times10^8\;N/m$ regardless of a rotating speed, the seal is expected to maintain a stable thickness of lubrication film under a certain external excitation acting. Also, as even at an ultra high-speed of 80,000 rpm the axial damping of the seal is shown to have a rotatively high value of 5,775 N-s/m, the dynamic stability of the seal system at the axial degree of freedom is assured well enough.

Lubrication Performance Analyses of Spiral Groove Dry Gas Seals - Part II: Detailed Performance Evaluation of Groove Design Parameters (스파이럴 그루브 드라이 가스 시일의 윤활 성능해석 - Part II: 그루브 설계 파라미터의 상세 성능평가)

  • Lee An Sung;Yang Jae-Hun;Choi Dong-Hoon
    • Tribology and Lubricants
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    • v.20 no.2
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    • pp.68-76
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    • 2004
  • Applying a general Galerkin FE lubrication analysis method to spiral groove dry gas seals, this study intends to analyze in detail the effects of groove design parameters, such as a spiral angle, groove width ratio, groove radius ratio, groove depth ratio, and groove taper ratio, on the lubrication performances of an opening force, leakage, axial stiffness and damping, and angular stiffness and damping at low and high rotating speeds: 3,600 and 15,000 nm. Results show that, for the primary design consideration performances such as the opening force and axial and angular stiffnesses, a spiral angle of $25^{\circ}$, a groove width ratio of 0.46, a groove radius ratio of 1.1, a groove depth ratio of 1.0, and a groove taper ratio of 0.0 are preferred. Where the recommended relatively low values of groove depth and taper ratios are to keep the axial and angular dampings positive or higher than 0 particularly at the high rotating speed.

FINITE ELEMENT ANALYSIS FOR DISCONTINUOUS MAPPED HEXA MESH MODEL WITH IMPROVED MOVING LEAST SQUARES SCHEME

  • Tezuka, Akira;Oishi, Chihiro;Asano, Naoki
    • Proceedings of the Korea Society for Simulation Conference
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    • 2001.10a
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    • pp.373-379
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    • 2001
  • There is a big issue to generate 3D hexahedral finite element (FE) model, since a process to divide the whole domain into several simple-shaped sub-domains is required before generating a continuous mesh with mapped mesh generators. In general, it is nearly impossible to set up proper division numbers interactively to keep mesh connectivity between sub-domains on a complicated arbitrary-shaped domain. If mesh continuity between sub-domains is not required in an analysis, this complicated process can be omitted. Element-free Galerkin method (EFGM) can accept discontinuous meshes, which only requires nodal information. However it is difficult to choose a reasonable influenced domain in moving least squares scheme with non-uniformly distributed nodes in discontinuous FE models. A new FE scheme fur discontinuous mesh is proposed in this paper by applying improved EFGM with some modification to derive FE approximated function in discontinuous parts. Its validity is evaluated on linear elastic problems.

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