• Title/Summary/Keyword: 탄성경계

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Finite Element Analysis with Paraxial Boundary Condition (파진행 문제를 위한 Paraxial 경계조건의 유한요소해석)

  • Kim, Hee-Seok;Lee, Jong-She
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.3
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    • pp.303-309
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    • 2007
  • For the propagation of elastic waves in unbounded domains, absorbing boundary conditions at the fictitious numerical boundaries have been proposed. In this paper we focus on both first and second order paraxial boundary conditions(PBCs) in the framework of variational approximations which are based on paraxial approximations of the scalar and elastic wave equations. We propose a penalty function method for the treatment of PBCs and apply these into finite element analysis. The numerical verification of the efficiency is carried out through comparing PBCs with Lysmer-Kuhlemeyer's boundary conditions.

Simulation of Valveless Pump Using Pumping Chamber Connected to Elastic Tube (탄성 튜브가 연결된 펌핑 챔버를 이용한 무밸브 펌프의 수치해석)

  • Shin, Soo Jai;Chang, Cheong Bong;Sung, Hyung Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.37 no.2
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    • pp.111-117
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    • 2013
  • A valveless pump consisting of a pumping chamber with an elastic tube was simulated using an immersed boundary method. The interaction between the motion of the elastic tube and the pumping chamber generated a net flow toward the outlet through a full cycle of the pump. The net flow rate of the valveless pump was examined by varying the stretching coefficient, bending coefficient, and aspect ratio of the elastic tube. Photographs of the fluid velocity vectors and the wave motions of the elastic tube were examined over one cycle of the pump to gain a better understanding of the mechanism underlying the valveless pump. The relationship between the gap in the elastic tube and the average flow rate of the pump was analyzed.

Analysis of the Flow-Induced Stress Waves in Lavered Structures (적층구조물내의 유체유발 탄성응력파 해석)

  • 이준근;이우식
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.04a
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    • pp.328-333
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    • 1995
  • 본 연구에서는 난류경계층 압력유동을 받는 구조물의 탄성응력파의 전파특성을 파동역할을 이용하여 해석하였다. 기존의 연구에서는 직각좌표계를 이용하여 난류운동이 동일한 한 방향으로 흐르는 경우에 대해 탄성응력파의 전파특성을 해석하였으나, 본 연구에서는 유체가 구조물의 표면에 수직으로 입사하여 방사형으로 흘러나갈 경우에 발생하는 탄성응력파의 전파 특성을 극좌표계를 이용하여 해석하였다. 또한 기초 구조물의 깊이방향으로 전파되는 탄성응력파를 감소시키기 위해 기초구조물의 표면에 접착시키는 탄성중합체층을 설계하는데 보다 효율적으로 응용할 수 있는 단순화된 1자유도계 모델을 유도하였다.

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Application of ADE-PML Boundary Condition to SEM using Variational Formulation of Velocity-Stress 3D Wave Equation (속도-응력 변분식을 이용한 3차원 SEM 탄성파 수치 모사에 대한 ADE-PML경계조건의 적용)

  • Cho, Chang-Soo;Son, Min-Kyung
    • Geophysics and Geophysical Exploration
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    • v.15 no.2
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    • pp.57-65
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    • 2012
  • Various numerical methods in simulation of seismic wave propagation have been developed. Recently an innovative numerical method called as the Spectral Element Method (SEM) has been developed and used in wave propagation in 3-D elastic media. The SEM that easily implements the free surface of topography combines the flexibility of a finite element method with the accuracy of a spectral method. It is generally used a weak formulation of the equation of motion which are solved on a mesh of hexahedral elements based on the Gauss-Lobatto-Legendre integration rule. Variational formulations of velocity-stress motion are newly modified in order to implement ADE-PML (Auxiliary Differential Equation of Perfectly Matched Layer) in wave propagation in 3-D elastic media, because a general weak formulation has a difficulty in adapting CFS (Complex Frequency Shifted) PML (Perfectly Matched Layer). SEM of Velocity-Stress motion having ADE-PML that is very efficient in absorbing waves reflected from finite boundary is verified with simulation of 1-D and 3-D wave propagation.

Application of Convolutional Perfectly Matched Layer to Numerical Elastic Modeling Using Rotated Staggered Grid (회전된 엇갈린 격자를 이용한 탄성파 모사에의 CPML 경계조건 적용)

  • Cho, Chang-Soo
    • 한국지구물리탐사학회:학술대회논문집
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    • 2008.10a
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    • pp.57-62
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    • 2008
  • Finite difference method using not general SSG(standard staggered grid) but RSG(rotated staggered grid) was applied to simulation of elastic wave propagation. Special free surface boundary condition such as imaging method is needed in finite difference method using SSG in elastic wave propagation but free surface boundary condition in finite difference method using RSG is easily solved with adding air layer. Recently PML(Perfectly Matched layer) is widely used to eliminate artificial reflection waves from finite boundary because of its' greate efficiency. Absorbing ability of CPML(convolutional Perfectly Matched Layer) that is more efficient than that of PML was applied to FDM using RSG in this study. The results of CPML eliminated artificial boundary waves very effectively in FDM using RSG in being compared with that of Cerjan's absorbing method.

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Boundary Element Evaluation of Stress Intensity Factor for Interface Crack in Elastic and Viscoelastic Composite Materials (경계요소법에 의한 탄성-점탄성 복합구조체의 계면균열 해석)

  • 이상순;김정규;황종근
    • Computational Structural Engineering
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    • v.9 no.1
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    • pp.85-91
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    • 1996
  • The focus of the present work is on the computation of the stress intensity factor for the crack at the elastic-viscoelastic bimaterial interface. First, the stress intensity factor for an interface crack in dissimilar elastic and viscoelastic materials is dervied by applying the correspondence principle to associated elastic expression. Then the time-domain boundary element analysis is performed to calculate the stress intensity factor. Numerical results show that the proposed method is very useful for the analysis of the interface crack in elastic and viscoelastic materials.

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Analytical Study on Inelastic Behavior and Ductility Capacity of Reinforced Concerte Bridge Columns Subjected to Seismic Load (지진하중을 받는 철근콘크리트 교각의 비탄성 거동 및 연성능력에 관한 해석적 연구)

  • 김태훈;유영화;신현목
    • Journal of the Earthquake Engineering Society of Korea
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    • v.4 no.4
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    • pp.37-51
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    • 2000
  • 이 연구는 지진 시 철근콘크리트 교각의 비탄성 거동 및 연성능력을 해석적으로 파악하는데 그 목적이 있다. 재료적 비선형성에 대해서는 균열 콘크리트에 대한 인장, 압축, 전단모델과 콘크리트 속에 있는 철근 모델을 조합하여 고려하였다. 이에 대한 콘크리트의 균열 모델로서의 분산균열모델을 사용하였다. 두께가 서로 다른 부재간의 접합부에 단면강성이 급변하기 때문에 생기는 국소적인 불연속변형을 고려하기 위한 경계면 요소를 도입하였다. 또한, 축방향철근의 유무 및 그 양 등에 따른 구속효과를 적절히 표현할 수 있는 해석 모델을 개발하였다. 본 연구에서는 철근콘크리트 교각의 비탄성 거동 및 연성 능력의 파악을 위해 제안한 해석기법을 신뢰성 있는 연구자의 실험결과와 비교하여 그 타당성을 검증하였다.

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Application of Convolutional Perfectly Matched Layer Method to Numerical Elastic Modeling Using Rotated Staggered Grid (회전된 엇갈린 격자를 이용한 탄성파 모델링에의 CPML 경계조건 적용)

  • Cho, Chang-Soo;Lee, Hee-Il
    • Geophysics and Geophysical Exploration
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    • v.12 no.2
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    • pp.183-191
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    • 2009
  • Finite difference method using not general SSG (standard staggered grid) but RSG (rotated staggered grid) was applied to simulation of elastic wave propagation. Special free surface boundary condition such as imaging method is needed in finite difference method using SSG in elastic wave propagation. But free surface boundary condition in finite difference method using RSG is easily solved with adding air layer or vacuum layer. Recently PML (Perfectly Matched layer) is widely used to eliminate artificial reflection waves from finite boundary because of its' greate efficiency. Absorbing ability of CPML (convolutional Perfectly Matched Layer) that is more efficient than that of PML and CPML that don't use splitting of wave equation that should be adapted to PML was applied to FDM using RSG in this study. Frequency absorbing characteristic and energy absorbing ability in CPML layer were investigated and CPML eliminated artificial boundary waves very effectively in FDM using RSG in being compared with that of Cerjan's absorbing method. CPML method also diminished amplitude of waves in boundary layer of solid-liquid model very well.

A Study of Flow Induced Noise for Multilevered Cylinder due to Turbulent Boundary Layer (난류경계층에 의한 다층재질 원통형 실린더의 유체소음 해석 연구)

  • 신구균;홍진숙;이헌곤
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1994.10a
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    • pp.271-276
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    • 1994
  • 본 연구에서는 외부 호스, 내부 충진유 및 탄성체 핵으로 구성된 다층 재질의 무한히 긴 원통형 실린더가 자유 흐름 중에 있을 때, 유체 유동에 의한 난류 경계층내 벽면 압력 변동(wall pressure fluctuation)이 내부 탄성체 핵의 표면에 미치는 영향을 분석하기 위하여 난류 경계층에 의한 다층 재질의 실린더 내부 압력 변동 해석 이론을 정립하였다. 본 해석 이론에서는 파동 방정식을 이용하여 외부 호스 벽면 압력에 대한 전달 함수를 도출하고, 난류 경계층내 벽면 압력 변동은 Corcos Model을 기초로 하여 Strawderman이 제안한 실험식을 사용하여 추정하였다. 또 이를 바탕으로 자유 흐름 속도 변화등에 따른 실린더 내부 압력변도의 변화를 분석하여 보았다.

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Some Effects of Sliding Velocity on The Elastohydrodynamic Squeeze Films (탄성 경계상 압착막에 대한 미끄럼 속도의 영향)

  • 유형선;이병철
    • Tribology and Lubricants
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    • v.2 no.1
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    • pp.46-52
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    • 1986
  • 얇은 유막위의 타이어 변형해석이나, 압착막댐퍼 설계등의 해석에 응용되는 변동 하중하의 탄성 경계상 유체 압착막의 해석을 Newton-Raphson 반복법을 사용하여 하였다. 유막두께의 계산은 등계수 요소를 사용하여 정확한 계산을 하였고 슬라이더의 궤적은 강쇄진동의 응답곡선과 유사함을 알 수 있었다. 특히 본 연구에서는 미끄럼 속도의 영향을 고려하였으며 유체가 베어링내에 생긴 포켓에 정체하고 있어서 미끄럼의 영향은 속도가 클때를 제외하고는 큰 영향을 미치지 못함을 알 수 있었다.