• 제목/요약/키워드: Kelvin model

검색결과 150건 처리시간 0.027초

반무한 다중 구조계의 비선형 유한요소 - 경계요소 해석 (Analysis of Multi-Layered Structural Systems Using Nonlinear Finite Elements-Boundary Elements)

  • 김문겸;장정범;이상도;황학주
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1992년도 봄 학술발표회 논문집
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    • pp.58-64
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    • 1992
  • It is usual that underground structures are constructed within multi-layered medium. In this paper, an efficient numerical model ling of multi-layered structural systems is studied using coupled analysis of finite elements and boundary elements. The finite elements are applied to the area in which the material nonlinearity is dominated, and the boundary elements are applied to the far field area where the nonlinearity is relatively weak. In the boundary element model 1 ins of the multi-layered medium, fundamental solutions are restricted. Thus, methods which can utilize existing Kelvin and Melan solution are sought for the interior multi-layered domain problem and semi infinite domain problem. Interior domain problem which has piecewise homogeneous layers is analyzed using boundary elements with Kelvin solution; by discretizing each homogeneous subregion and applying compatibility and equilibrium conditions between interfaces. Semi-infinite domain problem is analyzed using boundary elements with Melan solution, by superposing unit stiffness matrices which are obtained for each layer by enemy method. Each methodology is verified by comparing its results which the results from the finite element analysis and it is concluded that coupled analysis using boundary elements and finite elements can be reasonable and efficient if the superposition technique is applied for the multi-layered semi-infinite domain problems.

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ON THE MODELLING OF TWO-PHASE FLOW IN HORIZONTAL LEGS OF A PWR

  • Bestion, D.;Serre, G.
    • Nuclear Engineering and Technology
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    • 제44권8호
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    • pp.871-888
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    • 2012
  • This paper aims at presenting the state of the art, the recent progress, and the perspective for the future, in the modelling of two-phase flow in the horizontal legs of a PWR. All phenomena relevant for safety analysis are listed first. The selection of the modelling approach for system codes is then discussed, including the number of fluids or fields, the space and time resolution, and the use of flow regime maps. The classical two-fluid six-equation one-pressure model as it is implemented in the CATHARE code is then presented and its properties are described. It is shown that the axial effects of gravity forces may be correctly taken into account even in the case of change of the cross section area or of the pipe orientation. It is also shown that it can predict both fluvial and torrential flow with a possible hydraulic jump. Since phase stratification plays a dominant role, the Kelvin-Helmholtz instability and the stability of bubbly flow regime are discussed. A transition criterion based on a stability analysis of shallow water waves may be used to predict the Kelvin-Helmholtz instability. Recent experimental data obtained in the METERO test facility are analysed to model the transition from a bubbly to stratified flow regime. Finally, perspectives for further improvement of the modelling are drawn including dynamic modelling of turbulence and interfacial area and multi-field models.

Analysis of nonlocal Kelvin's model for embedded microtubules: Via viscoelastic medium

  • Taj, Muhammad;Khadimallah, Mohamed A.;Hussain, Muzamal;Khedher, Khaled Mohamed;Shamim, Raja A.;Ahmad, Manzoor;Tounsi, Abdelouahed
    • Smart Structures and Systems
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    • 제26권6호
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    • pp.809-817
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    • 2020
  • In cells, the microtubules are surrounded by viscoelastic medium. Microtubules, though very small in size, perform a vital role in transportation of protein and in maintaining the cell shape. During performing these functions waves propagate and this propagation of waves has been investigated using nonlocal elastic theory. But the effect of surrounding medium was not taken into account. To fill this gap, this study considers the viscoelastic medium along with nonlocal elastic theory. The analytical formulas of the velocity of waves, and the results reveal that the presence of medium reduces the velocity. The axisymmetric and nonaxisymmetric waves are separately discussed. Furthermore, the results are compared with the results gained from the studies of free microtubules. The presence of medium around microtubules results in the increase of the flexural rigidity causing a significant decrease in radial wave velocity as compared to axial and circumferential wave velocities. The effect of viscoelastic medium is more obvious on radial wave velocity, to a lesser extent on torsional wave velocity and least on longitudinal wave velocity.

반평면 전단하중력하에서 곡면형상 접합면을 가지는 폼과 복합재료 접합부의 계면크랙에 관한 연구 (The Curved Interfacial Crack Analysis between Foam and Composite Materials under Anti-plane Shear Force)

  • 박상현;전흥재
    • Composites Research
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    • 제13권4호
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    • pp.67-74
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    • 2000
  • 계면크랙으로부터 먼 거리에 일정한 반평면(anti-plane) 전단력이 가해지는 경우에 대해서 복소변수 변위함수(complex variable displacement function)를 이용하여 곡면형상의 접합면을 가지는 폼과 복합재료의 접합재료에 대한 일반해를 고찰하였다. 점탄성 모델을 표현하기 위하여 Kelvin-Maxwell 모델을 제시하였으며, 폼의 점탄성을 나타내는 수학적 모델을 라플라스 변환을 이용하여 처리하였다. 폼의 점탄성 및 복합재료의 이방성을 고려하여 계면크랙에서의 응력세기계수를 예측하였다. 응력세기계수는 접합면의 곡률이 증가할수록 증가하는 경향을 보이며 시간이 지남에 따라 증가하다 일정값에 수렴하였다. 또한 폼과 복합재료 사이의 전단 강성계수비가 증가할수록 응력세기계수가 증가하였으며, 복합재료의 섬유방향이 응력세기계수의 변화에 미치는 영향은 점차 감소하였다.

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Free vibration analysis of nonlocal viscoelastic nanobeam with holes and elastic foundations by Navier analytical method

  • Ola A. Siam;Rabab A. Shanab;Mohamed A. Eltaher;Norhan A. Mohamed
    • Advances in aircraft and spacecraft science
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    • 제10권3호
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    • pp.257-279
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    • 2023
  • This manuscript is dedicated to deriving the closed form solutions of free vibration of viscoelastic nanobeam embedded in an elastic medium using nonlocal differential Eringen elasticity theory that not considered before. The kinematic displacements of Euler-Bernoulli and Timoshenko theories are developed to consider the thin nanobeam structure (i.e., zero shear strain/stress) and moderated thick nanobeam (with constant shear strain/stress). To consider the internal damping viscoelastic effect of the structure, Kelvin/Voigt constitutive relation is proposed. The perforation geometry is intended by uniform symmetric squared holes arranged array with equal space. The partial differential equations of motion and boundary conditions of viscoelastic perforated nonlocal nanobeam with elastic foundation are derived by Hamilton principle. Closed form solutions of damped and natural frequencies are evaluated explicitly and verified with prestigious studies. Parametric studies are performed to signify the impact of elastic foundation parameters, viscoelastic coefficients, nanoscale, supporting boundary conditions, and perforation geometry on the dynamic behavior. The closed form solutions can be implemented in the analysis of viscoelastic NEMS/MEMS with perforations and embedded in elastic medium.

Time dependent finite element analysis of steel-concrete composite beams considering partial interaction

  • Dias, Maiga M.;Tamayo, Jorge L.P.;Morsch, Inacio B.;Awruch, Armando M.
    • Computers and Concrete
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    • 제15권4호
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    • pp.687-707
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    • 2015
  • A finite element computer code for short-term analysis of steel-concrete composite structures is extended to study long-term effects under service loads, in the present work. Long-term effects are important in engineering design because they influence stress and strain distribution of the structural system and therefore contribute to the increment of deflections in these structures. For creep analysis, a rheological model based on a Kelvin chain, with elements placed in series, was employed. The parameters of the Kelvin chain were obtained using Dirichlet series. Creep and shrinkage models, proposed by the CEB FIP 90, were used. The shear-lag phenomenon that takes place at the concrete slab is usually neglected or not properly taken into account in the formulation of beam-column finite elements. Therefore, in this work, a three-dimensional numerical model based on the assemblage of shell finite elements for representing the steel beam and the concrete slab is used. Stud shear connectors are represented for special beam-column elements to simulate the partial interaction at the slab-beam interface. The two-dimensional representation of the concrete slab permits to capture the non-uniform shear stress distribution in the horizontal plane of the slab due to shear-lag phenomenon. The model is validated with experimental results of two full-scale continuous composite beams previously studied by other authors. Results are given in terms of displacements, bending moments and cracking patterns in order to shown the influence of long-term effects in the structural response and also the potentiality of the present numerical code.

Oil boom과 파랑의 비선형상호작용을 고려한 Oil Boom의 누유특성 (Failure Characteristics of Oil Boom Considering the Nonlinear Interaction of Oil Boom with Waves)

  • 조용준;윤대경
    • 한국해안·해양공학회논문집
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    • 제23권3호
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    • pp.193-204
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    • 2011
  • 역동적인 파랑에 노출되는 경우 다양한 failure mode를 쉽게 드러내는 Oil boom의 성능을 개선하기 위해 가장 정교한 파랑모형인 spatially filtered Navier-Stokes 식을 LES (Large Eddy Simulation), 잔차응력에 대한 LDS (Lagrangian Dynamic Smagorinsky 모형), SPH (Smoothed Particle Hydrodynamics) 기법을 활용하여 해석하는 새로운 수치모형이 제언되었다. 이어 부유식 Oil Boom의 누유특성을 규명하기 위해 oil spill, progressive wave, oil boom의 상호작용을 oil boom이 계류삭에 고정되어있는 경우와 oil boom의 excursion이 허용된 경우에 대해 각각 수치모의 하였다. 모의결과 oil boom의 skirt 길이가 수심의 30% 이상이고 excursion이 허용된 경우 oil spill의 차폐 기능은 극대화되는 것으로 밝혀졌다. 이와 더불어 y = 1~2 m 사이에 오일막과 해수의 경계층에서 생성된 와류가 저면으로 확산되면서 시계방향과 반 시계방향의 와류가 엇갈리게 생성되는 coherent eddies가 관측되어 수리실험을 통해 그 존재가 알려진 Kelvin-Helmholz파의 성장과정과 계면으로부터의 일탈과정이 수치모의된 것으로 판단된다.

수치 모사된 뇌우 유출의 구조와 진화 (Structure and Evolution of a Numerically Simulated Thunderstorm Outflow)

  • 김연희;백종진
    • 한국지구과학회지
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    • 제28권7호
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    • pp.857-870
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    • 2007
  • 명시적 액체-얼음상 미시물리 과정을 포함하는 구름 분해 모형(ARPS: Advanced Regional Prediction System)을 이용하여 2차원 그리고 주변 바람이 없는 경우에 뇌우 유출의 구조와 진화를 조사하였다. 고해상도 격자 간격(50m)을 이용하여 유출의 난류 구조를 명시적으로 분해하였다. 모사된 단세포 스톰과 스톰과 연관된 Kelvin-Helmholtz(KH) 빌로우(billow)는 발달, 성숙, 소멸의 생애 단계를 가졌다. 구름 역학과 미시물리 사이의 상호작용으로 야기된 이차 맥동과 대류 세포의 분활이 관측되었다. 상대적으로 건조한 하층 대기를 낙하하는 빗방울과 우박의 증발에 기인한 찬 하강류는 뇌우 찬 공기 유출을 야기시켰다. 유출 머리는 거의 일정한 속도로 이동하였다. KH 불안정에 의해 생성된 KH 빌로우는 유출 상부에서 난류 혼합을 야기하였으며 유출의 구조를 지배하였다. KH 빌로우는 유출 머리에서 생성되었고 돌풍 전선에 상대적으로 뒤쪽으로 이동함에 따라 성장하고 소멸하였다. 가장 빨리 성장하는 섭동의 수평 파장과 임계 시어층 깊이의 비 그리고 KH 빌로우의 수평 파장과 최대 진폭의 비에 대한 수치 모사 결과는 다른 연구 결과와 잘 일치하였다.

Forced vibration analysis of cracked functionally graded microbeams

  • Akbas, Seref D.
    • Advances in nano research
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    • 제6권1호
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    • pp.39-55
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    • 2018
  • Forced vibration analysis of a cracked functionally graded microbeam is investigated by using modified couple stress theory with damping effect. Mechanical properties of the functionally graded beam change vary along the thickness direction. The crack is modelled with a rotational spring. The Kelvin-Voigt model is considered in the damping effect. In solution of the dynamic problem, finite element method is used within Timoshenko beam theory in the time domain. Influences of the geometry and material parameters on forced vibration responses of cracked functionally graded microbeams are presented.

고온 고압하에서의 DME 연료 분무 및 증발 특성 (Spray and Evaporation Characteristics of DME fuel at the High pressure and temperature)

  • 김형준;서현규;이창식
    • 한국분무공학회지
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    • 제12권2호
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    • pp.101-107
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    • 2007
  • The purpose of this study is to analyze spray and evaporation characteristics of DME fuel at the high pressure and temperature. For the numerical analysis of dimethyl ether(DME) fuel spray characteristics, hybrid breakup model was applied to the DME spray and its breakup process. In order to obtain experimental results for comparison with the predicted ones, the visualization of the spray evolution process was executed by using a Nd:YAG laser. Also, the numerical investigation was conducted by the two hybrid models for primary and secondary breakup of the DME spray. The primary breakup model was used the Kelvin-Helmholtz(KH) breakup model. In the secondary breakup process, Rayleigh-Taylor(RT) and Drop Deformation Breakup(DDB) model was applied. The results of this study provide the macroscopic characteristics of the spray such as spray tip penetration and cone angle, and prediction accuracy of the two hybrid model.

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