• 제목/요약/키워드: finite layer methods

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수동감쇠 적층보의 진동해석을 위한 스펙트럴요소법의 적용 (Application of Spectral Element Method for the Vibration Analysis of Passive Constrained Layer Damping Beams)

  • 송지훈;홍석윤
    • 한국음향학회지
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    • 제28권1호
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    • pp.25-31
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    • 2009
  • 본 논문에서는 수동감쇠 적층보에 대한 스펙트럴요소법을 유도하였다. 수동감쇠 적층보의 중심층인 점탄성층은 주파수에 따라 값이 변하는 복소 계수를 가지고 있다. 그래서 점탄성층의 주파수 종속적인 복소 계수를 계산하기 위하여, 스펙트럴요소법을 주파수축 상에서 파동해로부터 얻은 엄밀해를 기반으로 하는 동적형상함수를 사용하여 유도하였다. 유도된 수동감쇠 적층보에 대한 스펙트럴요소의 신뢰성과 정밀도를 검증하기 위하여 스펙트럴요소법과 유한요소법을 사용하여 구한 주파수응답함수와 동적응답을 비교하였다. 비교 결과 수동감쇠 적층보에 대한 스펙트럴요소가 유한요소에 비해서 보다 신뢰성 있는 결과를 제공하는 것을 알 수 있었다.

Surface elasticity and residual stress effect on the elastic field of a nanoscale elastic layer

  • Intarit, P.;Senjuntichai, T.;Rungamornrat, J.;Rajapakse, R.K.N.D.
    • Interaction and multiscale mechanics
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    • 제4권2호
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    • pp.85-105
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    • 2011
  • The influence of surface elasticity and surface residual stress on the elastic field of an isotropic nanoscale elastic layer of finite thickness bonded to a rigid material base is considered by employing the Gurtin-Murdoch continuum theory of elastic material surfaces. The fundamental solutions corresponding to buried vertical and horizontal line loads are obtained by using Fourier integral transform techniques. Selected numerical results are presented for the cases of a finite elastic layer and a semi-infinite elastic medium to portray the influence of surface elasticity and residual surface stress on the bulk stress field. It is found that the bulk stress field depends significantly on both surface elastic constants and residual surface stress. The consideration of out-of-plane terms of the surface stress yields significantly different solutions compared to previous studies. The solutions presented in this study can be used to examine a variety of practical problems involving nanoscale/soft material systems and to develop boundary integral equations methods for such systems.

Research of the crack problem of a functionally graded layer

  • Murat Yaylaci;Ecren Uzun Yaylaci;Muhittin Turan;Mehmet Emin Ozdemir;Sevval Ozturk;Sevil Ay
    • Steel and Composite Structures
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    • 제50권1호
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    • pp.77-87
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    • 2024
  • In this study, the two-dimensional crack problem was investigated by using the finite element method (FEM)-based ANSYS package program and the artificial neural network (ANN)-based multilayer perceptron (MLP) method. For this purpose, a half-infinite functionally graded (FG) layer with a crack pressed through two rigid blocks was analyzed using FEM and ANN. Mass forces and friction were neglected in the solution. To control the validity of the crack problem model exercised, the acquired results were compared with a study in the literature. In addition, FEM and ANN results were checked using Root Mean Square Error (RMSE) and coefficient of determination (R2), and a well agreement was found. Numerical solutions were made considering different geometric parameters and material properties. The stress intensity factor (SIF) was examined for these values, and the results were presented. Consequently, it is concluded that the considered non-dimensional quantities have a noteworthy influence on the SIF. Also FEM and ANN can be logical alternative methods to time-consuming analytical solutions if used correctly.

모멘트 방법을 이용한 GPR용 안테나 해석 (Analysis of GPR antenna by using the moment methods)

  • 이상준;김세윤
    • 전자공학회논문지D
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    • 제35D권7호
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    • pp.9-16
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    • 1998
  • The nput impedance of a patch-tupe dipole antenna for GPR is calculated by using the moment methods in case that the surrounding medium is modeled on a multi-layer structure consisting of lossy dielectircs. When the cone-type function equivalent to pulse basis function in employed, one of the double integration can be performed analytically. The remaining integration is excuted numerically in a finite rnage and analytically in asymptotic region. The current distributions and input impedances of those antennas are calculated numerically.

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Solving the contact problem of functionally graded layers resting on a HP and pressed with a uniformly distributed load by analytical and numerical methods

  • Yaylaci, Murat;Sabano, Bahar Sengul;Ozdemir, Mehmet Emin;Birinci, Ahmet
    • Structural Engineering and Mechanics
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    • 제82권3호
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    • pp.401-416
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    • 2022
  • The aim of this study is to examine the frictionless double receding contact problem for two functionally graded (FG) layers pressed with a uniformly distributed load and resting on a homogeneous half plane (HP) using analytical and numerical methods. The FG layers are made of a non-homogeneous material with an isotropic stress-strain law with exponentially varying properties. It is assumed that the contact at the FG layers and FG layer-HP interface is frictionless. The body force of the FG layers and homogeneous HP are ignored in the study. Firstly, an analytical solution for the contact problem has been realized using the theory of elasticity and the Fourier integral transform techniques. Then, the problem modeled and two-dimensional analysis was carried out by using the ANSYS package program based on FEM. Numerical results for contact lengths and contact pressures between FG layers and FG layer-HP were provided for various dimensionless quantities including material inhomogeneity, distributed load width, the shear module ratio, and the heights of the FG layers for both methods. The results obtained using FEM were compared with the results found using the analytical formulation. It was found that the results obtained from analytical formulation were in perfect agreement with the FEM study.

적응적 유한요소를 이용한 박스형 구조물의 좌굴해석 (Buckling Analysis of Box-typed Structures using Adaptive Finite Elements)

  • 송명관;김선훈
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
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    • pp.271-274
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    • 2007
  • The finite element linear buckling analysis of folded plate structures using adaptive h-refinement methods is presented in this paper. The variable-node flat shell element used in this study possesses the drilling D.O.F. which, in addition to improvement of the element behavior, permits an easy connection to other elements with six degrees of freedom per node. The Box-typed structures can be analyzed using these developed flat shell elements. By introducing the variable node elements some difficulties associated with connecting the different layer patterns, which are common in the adaptive h-refinement on quadrilateral mesh, can be overcome. To obtain better stress field for the error estimation, the super-convergent patch recovery is used. The convergent buckling modes and the critical loads associated with these modes can be obtained.

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플라즈모닉스 현상을 이용한 전반사 기반 다층 유전체 박막 센서의 특성 분석 (Characteristics Analysis of Total Internal Reflection-based Dielectric Multi-layer Sensor Using Plasmonics Phenomena)

  • 김홍승;이태경;김두근;정유라;오금윤;이병현;기현철;최영완
    • 한국전기전자재료학회논문지
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    • 제25권7호
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    • pp.516-520
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    • 2012
  • In this paper, we have theoretically analyzed and designed a dielectric multi-layer sensor with a SPR (surface plasmon resonance) using analytical calculation and FDTD (finite difference time-domain) methods. The proposed structure is composed of periodic layer and thin metal film. It has many advantages. One of that is a high sensitivity of the SPR. Another is a high Q-factor of the characteristics in the PhC (photonic crystals) micro-cavity structure. The incident light has double resonance characteristics, because the filtered light by PhC structure, dielectric multi-layer, is met the thin metal film for SPR effect. We have also observed the change of resonance characteristics according to the variation of effective index on the metal film.

서남해안 해저 토질을 대상으로 설계한 스퍼드캔의 지지력 및 침투 거동 분석을 위한 해석방법 비교 (Comparison of Analysis Methods for Designed Spudcan Bearing Capacity and Penetration Behavior for Southwest Sea Soil)

  • 김해빈;장범선;최준환;;강성욱
    • 한국해양공학회지
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    • 제29권2호
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    • pp.175-185
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    • 2015
  • Jack-up type WTIV(Wind Turbine Installation Vessel) is used to avoid the effects of waves when installing wind turbines in the Southwest Sea of South Korea. During the preloading procedure, unexpected penetration may cause some risks such as excessive penetration or punch-through failure. To ensure the safety of the WTIV during preloading, the bearing capacities should be evaluated based on the soil data at each borehole. Eight boreholes (OW-1 to -8) have been drilled in the Southwest Sea of South Korea. The bearing capacities of a spudcan designed to be used in this district are calculated using both a conventional analysis and finite element analysis with the soil properties of OW-1 to -8. A finite element analysis is carried out for OW-1, -3, and -4 to gain an in-depth understanding of the soil behavior during the penetration. OW-1, -3, and -4 are representative boreholes for a strong layer overlying a soft layer, a general soft layer, and a soft layer overlying a strong layer, respectively. The resultant bearing capacity curves versus the depth of the numerical analysis are compared with the conventional method. The results show that the conventional analysis is conservative. Case studies for different spudcan areas and shapes are also conducted to seek an appropriate spudcan type for the Southwest Sea of South Korea. Finally, a spudcan with a rectangular shape and a bearing area of $112.8m^2$ is selected.

Analysis of Stratified Lake using an Eddy Diffusion and a Mixed-layer Models

  • Kim, Kyung-sub
    • Korean Journal of Hydrosciences
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    • 제8권
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    • pp.111-123
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    • 1997
  • A one-dimensional eddy diffusion model and a mixed-layer model are developed and applied to simulate the vertical temperature profiles in lakes. Also the running result of each method are compared and analyzed. In an eddy diffusion model, molecular diffusivity is neglected and eddy diffusivity which does not need lake-specific fitting parameter and constant lake's level are applied. The heat exchanges at the water surface and the bottom are formulated by the energy balance and zero energy gradient, respectively. In a mixed-layer model, two layers approach which has a constant thickness is adopted. The application of these models which use explicit finite difference and Runge-Kutta methods respectively demonstrates that the models simulate water temperatures efficiently.

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축 대칭 물체 주위의 점성유동 계산 (A Computation of Viscous Flows on an Axisymmetric Body)

  • 류재문
    • 대한조선학회논문집
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    • 제28권1호
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    • pp.19-26
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    • 1991
  • 난류유동 지배 방정식인 타원형 레이놀즈 방정식을 수치계산에 의해 계산하였다. 계산 대상으로는 실험결과가 많이 알려진 축 대칭 물체를 택하였다. 수치적으로 얻어지는 물체접합 좌표계를 사용하였고, 난류모형으로는 $\kappa-\varepsilon$모형으로써 경계면 근처의 복잡한 유동특성을 추정할 수 있도록 영역을 2개로 나누어 계산하는 2층모형(two-layer model)을 사용하였다. 입구면의 경계조건을 사용하여 물체의 중앙부 이후부터 계산을 수행하였다. 입구면에서의 속도와 난류량 등은 경계층 방정식을 풀어 얻어진 결과와 평판의 경계층 자료로부터 얻어진 결과를 사용하였으며, 이로부터 입구면 조건이 점성유동 해석 결과에 미치는 영향을 조사하였다.

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