• Title/Summary/Keyword: applied element method

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An Analysis of Aircraft Engine Inlet Acoustic Fields by using Finite Element Method (유한 요소법을 이용한 비행기 엔진 입구 음향장 해석)

  • 전완호;이덕주
    • Journal of KSNVE
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    • v.8 no.1
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    • pp.122-131
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    • 1998
  • Internal and external acoustic fields of the engine inlet are calculated by using a finite element method. The far fields non reflecting boundary condition is enforced by using a wave envelope element, which is a kind of infinite element. The geometry is assumed an axisymetric duct. Sources of the fan are modeled by the Tyler and Sofrin's theory. Effects of uniformly moving medium are considered. A pulsating sphere and an oscillating piston problem are calculated to verify the external problems, and compared with exact solutions. When the wave envelope element is applied at the far boundary, the calculated finite element solutions show good agreements with the exact solutions. The engine inlet is solved with the combined internal and external grid. The cut-off phenomena on engine inlet duct are observed.

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Effective Element Removal Methods for Topology Optimization (위상 최적화를 위한 효율적인 요소 제거법)

  • 한석영
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2000.04a
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    • pp.46-51
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    • 2000
  • In case of ESO(evolutionary structural optimization) which is one of topology optimization methods, the element removal ratio is fixed throughout topology optimization by 1 or 2 %. As a result it has no flexibility for various types of structures and thus the rate of convergence might not be efficient. Thus various element removal methods are developed in order to improve the efficiency of ESO. In this paper, various element removal methods for ESO are compared with each other. Each element removal method is explained, and applied to a bracket and a Michell type of beam. In addition, a new bi-directional element removal method is suggested in order to obtain much better optimized topology. From the results of stress, displacement and the rate of convergence for the examples under the same mass constraints, it is verified that the suggested element removal method is the most effective. .

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Beam Pattern Optimization of Hexagonal Array Transducer Using Finite Element Method (유한 요소기법에 의한 육각형 배열 변환기의 지향성 최적화)

  • 장순석;이제형;안흥구
    • Journal of KSNVE
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    • v.10 no.1
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    • pp.123-128
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    • 2000
  • This paper describes the optimization of the hexagonal array transducer using finite element method. The transducer consists of the disc type sensors. Three dimensional beam patterns of each element and the array transducer are analysed using the finite element code ATILA. Beam patterns were analyzed for the disc type transducer. To optimize beam patterns of the array transducer, Chebyshev polynomial weight is applied to each element. In case of applying optimized weight, a 30 degree width beam pattern is presented at 10kHz. This paper also includes the effect of rubber filling material instead of using the water inside the transducer array.

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AN EXTRAPOLATED HIGHER ORDER CHARACTERISTIC FINITE ELEMENT METHOD FOR SOBOLEV EQUATIONS

  • Ohm, Mi Ray;Shin, Jun Yong
    • East Asian mathematical journal
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    • v.33 no.5
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    • pp.511-525
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    • 2017
  • We introduce an extrapolated higher order characteristic finite element method to construct approximate solutions of a Sobolev equation with a convection term. The higher order of convergence in both the temporal direction and the spatial direction in $L^2$ normed space is established and some computational results to support our theoretical results are presented.

AN EXTRAPOLATED HIGHER ORDER CHARACTERISTIC FINITE ELEMENT METHOD FOR NONLINEAR SOBOLEV EQUATIONS

  • Ohm, Mi Ray;Shin, Jun Yong
    • East Asian mathematical journal
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    • v.34 no.5
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    • pp.601-614
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    • 2018
  • In this paper, we introduce an extrapolated higher order characteristic finite element method to approximate solutions of nonlinear Sobolev equations with a convection term and we establish the higher order of convergence in the temporal and the spatial directions with respect to $L^2$ norm.

Process Design in Precision Coining by Three-Dimensional Finite Element Method (정밀 코닝 공정 설계에서의 3차원 유한요소법 활용)

  • 최한호;강범수;변천덕
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1994.10a
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    • pp.173-181
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    • 1994
  • Process design is one of the most important fields in metal forming, where the finite element method has appeared a useful method for industrial applications. In this study, a program using the rigid plastic finite element has been developed for preform design in three-dimensional plastic deformation. The surface integration for calculation of the friction between die and workpiece has been implemented with care in numerical treatment. The developed program is applied to a precision coining process for designing an optimal punch.

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Safety Assessment to Construction Position of Constructed Steel Structures under Declinating Earth Pressure (편토압을 받는 파형강판 구조물의 시공위치별 안전성 평가)

  • Lee, Sang-Hyun;Lim, Heui-Dae
    • Journal of the Korean Society of Safety
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    • v.23 no.1
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    • pp.28-34
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    • 2008
  • The corrugated steel plate structures is applied to the construction of mountain tunnel portal part with shallow depth, the tunnel on the outskirts of urban areas and ecology move passage. In this study, A finite element method is used for research the behavior of corrugated steel plate structures due to construction position under declinating earth pressure and excavation depth. A finite element method were performed varying construction position(10, 15, 20 and 25m) from slope and excavation depth from surface. The hoop thrust and moment, displacement of corrugated steel plate subjected to construction position and excavation depth is determined from a finite element method. From results of finite element method, it was found that the increase of thrust and the decrease of displacement as the amount of distance increase from slope with construction position. But the thrust and moment, displacement has not different value with excavation depth.

Level set method for the simulation of rising bubble based on triangular and Quadrilateral elements (삼각형 요소와 사각형 요소에 기초한 상승기포의 모사를 위한 Level set 방법)

  • Cho, M.H.;Choi, H.G.;Jeon, B.J.;Yoo, J.Y.
    • 한국전산유체공학회:학술대회논문집
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    • 2011.05a
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    • pp.10-13
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    • 2011
  • A level set method is proposed to simulate the incompressible two-phase flow considering the effect of surface tension. For reinitialization of level set junction, a direct approach method is employed, instead of solving hyperbolic type equation. A mixed element is adopted, so that the continuity mid Navier-Stokes equations are solved by using the quadratic elements (six-node triangular element mid nine-node quadrilateral element), mid the level set function is solved by using the linear elements (three-node triangular element mid four-node quadrilateral element). In order to verify the accuracy mid robustness of the codes, the present methods are applied to a few benchmark problems. It is confirmed that the present results are in good qualitative mid quantitative agreements with the existing studies.

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The Boundary Element Analysis of Wave Force acting on Multiple Cylinders

  • Kim, Nam-Hyeong;Cao, Tan Ngooc Than;Yang, Soon-Bo
    • Journal of Navigation and Port Research
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    • v.36 no.7
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    • pp.561-569
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    • 2012
  • In this paper, the boundary element method is applied to solve the diffraction of waves by multiple vertical cylinders under the assumption of linear wave theory. A numerical analysis by boundary element method is based on Green's theorem and introduced to an integral equation for the fluid velocity potential around the cylinders. The numerical results obtained in this study are compared with the experimental data and the results of the theory using multiple scattering techniques. The comparisons show strong agreement. This numerical analysis method developed by using boundary element method could be used broadly for the design of various offshore structures to be constructed in coastal zones in the future.

A Study on Mesh Refinement for 3-D Adaptive Finite Element Method Using Tetrahedral Element (3차원 적응 유한요소법을 위한 사면체 요소세분에 관한 연구)

  • 김형석;정현교;한송엽
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.39 no.9
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    • pp.921-927
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    • 1990
  • This paper presents a mesh refinement scheme for 3-D adaptive finite element method. Firstly, the refinement of triangular meshes based on the bisection of triangles is discussed. And a new method to refine tetrahedral meshes employing the bisection method is presented. In two dimensional cases, it has been noted that all angles in the triangular meshes refined by the bisection method are greater than or equal to half the smallest angle in the original meshes. Through the examples where the newly proposed method is applied to three dimensional cases, it is shown that regarding the solid angles, the method gives nearly the same result as that in the two dimensional case. Accordingly, it can be concluded that the proposed method will be useful in the mesh refinements for 3-D adaptive finite element method.

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