• 한국강구조학회 논문집
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• 제11권4호통권41호
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• pp.373-384
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• 1999

복합재료를 사용한 비등방성 원통형 쉘 구조형식은 단일소재의 재료역학적인 단점을 극복할 수 있다. 본 연구의 목적은 1차전단변형효과가 고려된 비등방성 원통형 쉘을 해석하는 것이다. 전단변형효과가 고려된 원통형 쉘의 거동은 기존의 고전적인 해와 길이-두께비에 따라 상당한 거동의 차이를 보이므로 이러한 전단변형효과의 고찰은 매우 중요하다고 사료된다. 또한 본 연구는 유한요소법에 근간한 상용 공학프로그램인 ANSYS와 본 연구의 프로그램결과를 비교, 검증하였으며, 비등방성 원통형 쉘의 중심각의 변화, 화이버의 보강각도 변화, 탄성계수비의 변화 등에 따른 쉘의 처짐 및 단면력을 분석하였다. 본 논문에서 사용한 유한차분법에 의한 해는 기존의 해석적인 방법으로는 해석하기 어려운 보다 다양하고 복잡한 조건을 갖는 문제에 대하여 보다 정확한 해를 얻을 수 있다. 따라서 본 논문에서 제시한 유한차분법을 이용한 다양한 비등방성 원통형 쉘의 해석결과는 복합 신소재를 사용하는 쉘 구조체의 실용화에 앞서 다양한 기준을 제시할 수 있을 것으로 판단된다.

• 전기학회논문지P
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• 제66권4호
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• pp.163-168
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• 2017

This paper presented an evaluation method for the efficiency uncertainty of a three-phase induction motor using finite element analysis. The motor efficiency in the finite element analysis is calculated by the loss separation method as in the actual test. In the process of evaluating the efficiency uncertainty, the difference between the finite element analysis and the actual test is the method of calculating the type-A / B standard uncertainty of the input quantity to estimate the efficiency and each losses. For the input quantities which can confirm the instantaneous values with respect to time, the type-A standard uncertainty in the finite element analysis is calculated from the RMS values or average values having separate periods in the steady state. And, the type-B standard uncertainty in the finite element analysis is assumed to be zero. Also, this paper compared and analyzed the efficiency uncertainty evaluated by the proposed method and the efficiency uncertainty through the actual test.

• Nuclear Engineering and Technology
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• 제54권8호
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• pp.3059-3072
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• 2022

A Jacobian-Free Newton Krylov Two-Nodal Coarse Mesh Finite Difference algorithm based on Nodal Expansion Method (NEM_TNCMFD_JFNK) is successfully developed and proposed to solve the three-dimensional (3D) and multi-group reactor physics models. In the NEM_TNCMFD_JFNK method, the efficient JFNK method with the Modified Incomplete LU (MILU) preconditioner is integrated and applied into the discrete systems of the NEM-based two-node CMFD method by constructing the residual functions of only the nodal average fluxes and the eigenvalue. All the nonlinear corrective nodal coupling coefficients are updated on the basis of two-nodal NEM formulation including the discontinuity factor in every few newton steps. All the expansion coefficients and interface currents of the two-node NEM need not be chosen as the solution variables to evaluate the residual functions of the NEM_TNCMFD_JFNK method, therefore, the NEM_TNCMFD_JFNK method can greatly reduce the number of solution variables and the computational cost compared with the JFNK based on the conventional NEM. Finally the NEM_TNCMFD_JFNK code is developed and then analyzed by simulating the representative PWR MOX/UO₂ core benchmark, the popular NEACRP 3D core benchmark and the complicated full-core pin-by-pin homogenous core model. Numerical solutions show that the proposed NEM_TNCMFD_JFNK method with the MILU preconditioner has the good numerical accuracy and can obtain higher computational efficiency than the NEM-based two-node CMFD algorithm with the power method in the outer iteration and the Krylov method using the MILU preconditioner in the inner iteration, which indicates the NEM_TNCMFD_JFNK method can serve as a potential and efficient numerical tool for reactor neutron diffusion analysis module in the JFNK-based multiphysics coupling application.

• 지구물리와물리탐사
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• 제3권2호
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• pp.39-47
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• 2000

복잡한 지층구조에 대한 파동방정식의 해를 유한 차분법을 이용하여 구하는것은 많은 컴퓨터 계산시간과 기억 용량이 필요하다. 컴퓨터 계산시간과 기억용량은 최소 파장당 격자수를 줄이므로써 감소 시킬 수 있지만 수치분산으로 인해 정확도가 떨어지게 마련이다. 본 연구에서는 정확도를 유지하면서 파장당 격자수를 줄이는 방법으로 이용되고 있는 가중평균법을 최대 169점 까지 확장하여 주파수 영역에서 음향파동방정식의 해를 유한차분법으로 구할 때 최소 격자수를 구하기 위한 격자분석을 실시하였다. 지금까지 수치오차가 정확도 $1\%$내에 존재하기 위해서는 일반적인 5점을 이용하는 경우 파장당 격자수가 13개 이상이 필요하고, 9점의 경우 9개, 25점에서는 3개, 49점에서는 2.7개 이상이 필요하였다. 본 연구에서 정확도를 유지하기 위한 최소격자수를 결정하기 위해 실시된 격자분석 결과 81점에서는 2.5개 121점에서는 2.3개 그리고 169점에서는 오차 한계를 벗어나 가중평균 계수를 구할 수 없었으며 격자수를 2개까지 줄일 수 없음을 알 수 있었다. 또한 격자분석을 통해 가중평균에 적용되는 격자수가 증가할수록 정확도는 증가하지만 차분식 자체가 증가하여 매우 복잡하게 된다.

• Journal of the Optical Society of Korea
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• 제15권2호
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• pp.196-201
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• 2011

Near-field properties of light emanated from a subwavelength double slit of finite length in a thin metal film, which is essential for understanding fundamental physical mechanisms for near-field optical beam manipulations and various potential nanophotonic device applications, is investigated by using a three-dimensional finite-difference time-domain method. Near-field intensity distribution along the propagation direction of light after passing through the slit has been obtained from the phase relation of transverse electric and magnetic fields and the wave impedance. It is found that the near field of emerged light from the both slits is evanescent, that is consistent with conventional surface plasmon localization near the metal surface. Due to the finite of the slit, the amplitude of this evanescent field does not monotonically approach to than of the infinite slit as the slit length increases, i.e. the near-field of the longer slit along the center line can be weaker than that of the shorter one.

• Steel and Composite Structures
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• 제49권5호
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• pp.587-602
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• 2023

This article presents the numerical modelling of transient heat transfer in highly heterogeneous composite materials where the thermal conductivity, specific heat and density are assumed to be directional-dependent. This article uses a coupled finite element-finite difference scheme to perform the transient heat transfer analysis of unidirectional (1D) and multidirectional (2D/3D) functionally graded composite panels. Here, 1D/2D/3D functionally graded structures are subjected to nonuniform heat source and inhomogeneous boundary conditions. Here, the multidirectional functionally graded materials are modelled by varying material properties in individual or in-combination of spatial directions. Here, fully spatial-dependent material properties are evaluated using Voigt's micromechanics scheme via multivariable power-law functions. The weak form is obtained through the Galerkin method and solved further via the element-space and time-step discretisation through the 2D-isoparametric finite element and the implicit backward finite difference schemes, respectively. The present model is verified by comparing it with the previously reported results and the commercially available finite element tool. The numerous illustrations confirm the significance of boundary conditions and material heterogeneity on the transient temperature responses of 1D/2D/3D functionally graded panels.

• Tribology and Lubricants
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• 제26권5호
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• pp.263-271
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• 2010

The rollers of cylindrical roller bearing are axially profiled to relieve high edge stress concentration caused by mainly their finite length and by misalignment. In this paper, a numerical analysis is carried to study the EHL of misaligned (tilted) rollers with axially profiled ends. Using a finite difference method with non-uniform grids and the Newton-Raphson method, the highly nonlinear EHL problems are systematically solved. Physically consistent solutions are obtained for moderate load, material parameters and very small misalignment. For different misalignment angles, contours and sectional plots of pressure and film shape near both edge regions are compared. The asymmetric pressure distributions and film shapes show that the EHL results of finite line contacts are highly dependent upon very small amounts of roller misalignment. Especially, the effect of misalignment on the EHL pressure distribution is much higher than the film shapes.

• Geomechanics and Engineering
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• 제6권6호
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• pp.545-560
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• 2014

For slope stability analysis, an alternative to the classical limit equilibrium method (LEM) of slices is the shear strength reduction method (SRM), which can be integrated into finite element analysis or finite difference analysis. Recently, probabilistic analysis of earth slopes has been very attractive because it is capable to take the soil uncertainty into account. However, the SRM is less commonly extended to probabilistic framework compared to a variety of probabilistic LEM analysis of earth slopes. To overcome some limitations that hinder the development of probabilistic SRM stability analysis, a new procedure based on recursive algorithm FORM with sensitivity analysis in the space of original variables is proposed. It can be used to deal with correlated non-normal variables subjected to implicit limit state surface. Using the proposed approach, a probabilistic finite element analysis of the stability of an existing earth dam is carried out in this paper.

• 한국지반환경공학회 논문집
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• 제14권6호
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• pp.21-29
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• 2013

본 논문은 수정 Berggren 법과 상전이 현상을 모델링할 수 있는 유한요소 수치해석법을 사용하여 단열재를 포함한 대표적인 다층 지반에 대하여 동결깊이를 산정하여 비교 분석하였다. 균일한 단층 지반에서 수정 Berggren 법은 유한요소 수치해석법과 거의 동일한 결과를 보여주고 있다. 그러나 단열재를 포함한 다층 지반에서 수정 Berggren 법은 유한요소 수치해석 결과와 비교할 때 정확하지 않은 결과를 나타내고 있다. 따라서 단열재를 포함한 다층 지반에서는 수정 Berggren 법 대신에 유한요소나 유한차분법에 기반을 둔 수치해석법을 사용하여 동결깊이를 산정하여야 할 것으로 사료된다.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제22권1호
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• pp.75-89
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• 2018

This paper presents the numerical valuation of the arithmetic Asian option by using the operator-splitting method (OSM). Since there is no closed-form solution for the arithmetic Asian option, finding a good numerical algorithm to value the arithmetic Asian option is important. In this paper, we focus on a two-dimensional PDE. The OSM is famous for dealing with plural-dimensional PDE using finite difference discretization. We provide a detailed numerical algorithm and compare results with MCS method to show the performance of the method.