• Title/Summary/Keyword: 유한

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Scaled Boundary Finite Element Methods for Non-Homogeneous Half Plane (비동질 반무한 평면에서의 비례경계유한요소법)

  • Lee, Gye-Hee
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.2
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    • pp.127-136
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    • 2007
  • In this paper, the equations of the scaled boundary finite element method are derived for non-homogeneous half plane and analyzed numerically In the scaled boundary finite element method, partial differential equations are weaken in the circumferential direction by approximation scheme such as the finite element method, and the radial direction of equations remain in analytical form. The scaled boundary equations of non-homogeneous half plane, its elastic modulus varies as power function, are newly derived by the virtual work theory. It is shown that the governing equation of this problem is the Euler-Cauchy equation, therefore, the logarithm mode used in the half plane problem is not valid in this problem. Two numerical examples are analysed for the verification and the feasibility.

Finite Element Analysis of the Neutron Transport Equation in Spherical Geometry (구형에서 중성자 수송방정식의 유한요소법에 의한 해석)

  • Kim, Yong-Ill;Kim, Jong-Kyung;Suk, Soo-Dong
    • Nuclear Engineering and Technology
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    • v.24 no.3
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    • pp.319-328
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    • 1992
  • The Galerkin formulation of the finite element method is applied to the integral law of the first-order form of the one-group neutron transport equation in one-dimensional spherical geometry. Piecewise linear or quadratic Lagrange polynomials are utilized in the integral law for the angular flux to establish a set of linear algebraic equations. Numerical analyses are performed for the scalar flux distribution in a heterogeneous sphere as well as for the criticality problem in a uniform sphere. For the criticality problems in the uniform sphere, the results of the finite element method, with the use of continuous finite elements in space and angle, are compared with the exact solutions. In the heterogeneous problem, the scalar flux distribution obtained by using discontinuous angular and spatical finite elements is in good agreement with that from the ANISN code calculation.

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System Identification of a Three-story Test Structure based on Finite Element Model (유한요소모델에 기초한 3층 건물모델의 시스템 식별)

  • 이상현;민경원;강경수
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.5
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    • pp.416-423
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    • 2004
  • In this paper, an experimental verification of system identification technique for constructing finite element model is conducted for a three-story test structure equipped with an active mass driver (AMD). Twenty Gaussian white noises were used as the input for AMD, and the corresponding accelerations of each floor are measured. Then, the complex frequency response function (FRF) for the input, the force induced by the AMD, was obtained and subsequently, the Markov parameters and system matrices were estimated. The magnitudes as well as phase of experimentally obtained FRFs match well with those of analytically obtained FRFs.

Robust Finite-Time Stabilization for an Uncertain Nonlinear System (불확실한 비선형 시스템에 대한 강인 유한 시간 안정화)

  • Seo, Sang-Bo;Shin, Hyung-Bo;Seo, Jin-Heon
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.46 no.2
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    • pp.7-14
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    • 2009
  • In this paper we consider the problem of global finite-time stabilization for a class of uncertain nonlinear systems which include uncertainties. The uncertainties are time-varying disturbances or parameters belong to a known compact set. The proposed design method is based on backstepping and dynamic exponent scaling using an augmented dynamics, from which, a dynamic smooth feedback controller is derived. The finite-time stability of the closed-loop system and boundedness of the controller are preyed by the finite-time Lyapunov stability theory and a new notion 'degree indicator'.

P-Version Model of Stress Concentration Around a Circular Hole in Finite Strips (원공(圓孔)을 갖는 유한판(有限板)의 응력집중(應力集中)에 대한 P-Version 모델)

  • Woo, Kwang Sung;Lee, Chae Gyu;Yun, Young Pil
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.12 no.4_1
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    • pp.1-8
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    • 1992
  • This paper presents a p-version finite element approach for modeling the stress distribution around a circular hole in a finite strip subjected to membrane and flexural behaviors. Also, same problem with a crack emanating from a perforated tension strip was solved by virtual crack extension method. The p-version of the finite element method based on integrals of Legendre polynomials is shown to perform very well for modeling geometries with very steep stress gradients in the vicinity of a circular cutout. Here, the transfinite mapping technique for circular boundaries was used to avoid the discretization errors. The numerical results from the proposed scheme have a good comparison with those by Nisida, Howland, Newman etc. and the conventional finite element approach.

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Static and Dynamic Finite Element Analyses of a Bulk-Cement Trailer (벌크 시멘트 트레일러의 정동적 유한요소해석)

  • Kim, Jin-Gon;Lee, Jae-Gon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.8
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    • pp.945-951
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    • 2012
  • In this study, we analyze the static and dynamic characteristics of a bulk-cement trailer with a simpler structure that carries powders. The commercial software ANSYS is used to prepare a detailed three-dimensional model of the chassis frame and tank body that bear most of the load of a bulk-cement trailer for the finite element analysis. Modal analysis is conducted to examine the dynamic characteristics of the trailer body, and static analysis shows weak links in the structure. Finally, we propose a method to increase the strength of vulnerable areas and to reduce the weight of the trailer by applying the Taguchi method.

Treatment of Inclined Boundaries in a Finite Element Model for the Mild-Slope Equation (완경사 방정식을 이용한 유한요소모형에서 경사경계의 처리)

  • Jung, Tae-Hwa;Ryu, Yong-Uk
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.24 no.2
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    • pp.84-88
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    • 2012
  • A numerical skill for effective treatment of inclined boundaries in a finite element method is introduced. A finite element method has been frequently used to simulate hydraulic phenomena in a coastal zone since it can be applied to irregular and complex geometry. In case elliptic partial equations are governing equations for a finite element model, however, there is a difficulty in treating boundary conditions properly for cases in which boundaries are vertically inclined. In this study, a method to treat such inclined boundaries using Bessel functions for a finite element method is introduced and compared with analytical solutions.

Finite Difference Stability Analysis of Anisotropic Plates with Free Edge (자유경계를 갖는 비등방성 판의 유한차분 안정성 해석)

  • Yoo, Yong Min;Lee, Sang Youl;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.12 no.2 s.45
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    • pp.221-230
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    • 2000
  • Checking the stability of anisotropic plates with free edges, it is impossible that buckling loads and modes are found via existing classical methods about various loads and boundary conditions. For solving this problems. finite difference method(FDM) is used to analyze the buckling behaviors for arbitrary boundary conditions. Using FDM, it is difficult to treat the fictitious points on free edges. So, this paper analyzes buckling behaviors of analytic models with one edge free and the other edges clamped and with opposite two edges free and other two edges clamped. The various buckling loads and mode characteristics through numerical results are given for buckling behaviors of anisotropic plates on free edges.

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Structural Analysis of Thin-walled Beams by Using a Mixed Finite Element Method (혼합형 유한요소법에 의한 박판보의 구조해석)

  • Park, Seong-Whan
    • Journal of the Society of Naval Architects of Korea
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    • v.34 no.4
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    • pp.99-107
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    • 1997
  • A mixed type finite element method is applied to the nonuniform shear warping beam theory which is very useful for the structural analysis of thin-walled sectional beams considering the shear deformation. As known generally, it is shown that the mixed type finite element method, compared with the displacement type one, can give more balanced accuracy of results in calculating the stresses and displacements of the structure. In this paper, one typical example, the flexural-torsional problem of a discontinuously variable sectional beam under coupled end torsional moments, is selected and analyzed to validate the usefulness of the developed beam element.

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Parallel Computing of Large Scale FE Model based on Explicit Lagrangian FEM (외연 Lagrangian 유한요소법 기반의 대규모 유한요소 모델 병렬처리)

  • 백승훈;김승조;이민형
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.34 no.8
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    • pp.33-40
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    • 2006
  • A parallel computing strategy for finite element(FE) processing is described and implemented in nonlinear explicit FE code and its parallel performances are evaluated. A self-made linux-cluster supercomputer with 520 CPUs is used as a bench mark test bed. It is observed that speed-up is increased almost idealy even up to 256 CPUs for a large scale model. A communication over head and its effect on the parallel performance is also examined. Parallel performance is compare with the commercial code and developed code shows superior performance as the number of CPUs used are increased.