• 제목/요약/키워드: Finite Elements Methods

검색결과 327건 처리시간 0.036초

유한요소법을 이용한 전자기력 계산방법의 비교 (Comparison of Force Calculation Methods in Finite Element Method)

  • ;류재섭;고창섭
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 추계학술대회 논문집 전기기기 및 에너지변환시스템부문
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    • pp.100-103
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    • 2001
  • The magnetic force calculation methods, the Maxwell's stress tensor method, virtual work method, and nodal force method are reviewed. The methods are applied to the magnetic force calculation of 2D linear and nonlinear Problems. As the results the convergence of the methods as the number of elements increases, accuracy of the methods, and integral path dependence of the methods are discussed. Finally some recommendations on the usage of the methods, including the determination of the integral path, are given.

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Numerical Evaluations of the Effect of Feature Maps on Content-Adaptive Finite Element Mesh Generation

  • Lee, W.H.;Kim, T.S.;Cho, M.H.;Lee, S.Y.
    • 대한의용생체공학회:의공학회지
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    • 제28권1호
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    • pp.8-16
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    • 2007
  • Finite element analysis (FEA) is an effective means for the analysis of bioelectromagnetism. It has been successfully applied to various problems over conventional methods such as boundary element analysis and finite difference analysis. However, its utilization has been limited due to the overwhelming computational load despite of its analytical power. We have previously developed a novel mesh generation scheme that produces FE meshes that are content-adaptive to given MR images. MRI content-adaptive FE meshes (cMeshes) represent the electrically conducting domain more effectively with far less number of nodes and elements, thus lessen the computational load. In general, the cMesh generation is affected by the quality of feature maps derived from MRI. In this study, we have tested various feature maps created based on the improved differential geometry measures for more effective cMesh head models. As performance indices, correlation coefficient (CC), root mean squared error (RMSE), relative error (RE), and the quality of cMesh triangle elements are used. The results show that there is a significant variation according to the characteristics of specific feature maps on cMesh generation, and offer additional choices of feature maps to yield more effective and efficient generation of cMeshes. We believe that cMeshes with specific and improved feature map generation schemes should be useful in the FEA of bioelectromagnetic problems.

다중스파 날개의 유한요소 이상화 방법에 관한 인자연구 (Parametric Study on the Finite Element Idealization Method for Multi-Spar WIng)

  • 권진희;강경국;박찬우;김승호
    • 한국항공우주학회지
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    • 제30권6호
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    • pp.107-115
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    • 2002
  • 본 연구에서는 다중스파 항공기 날개 구조물의 유한요소 이상화 방법이 날개의 내력분포, 치수 및 중량에 어떠한 영향을 미치는지를 살펴보았다. 구조물의 유한요소 이상화 방법에 따라 총 18가지의 날개 모델을 구축하고 4가지의 외부하중 조건을 적용하였다. MSC/NASTRAN과 MSC/PATRAN을 이용하여 모든 구조물이 주어진 하중조건 모두에 대해 허용치 이내의 응력과, 가공을 위한 최소치 이상의 치수를 가지도록 하는 알고리즘을 별도로 개발하였다. 해석결과 날개의 내력분포와 예상중략에 가장 큰 영향을 미치는 것은 외피이고, 스파나 립의 이상화 방법의 효과는 상대적으로 작은 것으로 나타났다. 일반적인 예상과는 달리 굽힘강성을 가진 요소들을 사용한 모델이, 굽힘응력의 효과로 인해, 굽힘강성이 없는 요소를 사용한 모델에 비해 더 큰 예상중량을 보이는 것을 알 수 있었다. 본 연구의 결과로부터, 설계자는 가능하면 모든 구조물의 굽힘강성을 고려한 해석을 수행하거나 그렇지 못할 경우 각 구조물의 특성에 대한 신중한 사전 검토를 거칠 것을 권장한다.

Exact calculation of natural frequencies of repetitive structures

  • Williams, F.W.;Kennedy, D.;Wu, Gaofeng;Zhou, Jianqing
    • Structural Engineering and Mechanics
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    • 제4권5호
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    • pp.553-568
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    • 1996
  • Finite element stiffness matrix methods are presented for finding natural frequencies (or buckling loads) and modes of repetitive structures. The usual approximate finite element formulations are included, but more relevantly they also permit the use of 'exact finite elements', which account for distributed mass exactly by solving appropriate differential equations. A transcendental eigenvalue problem results, for which all the natural frequencies are found with certainty. The calculations are performed for a single repeating portion of a rotationally or linearly (in one, two or three directions) repetitive structure. The emphasis is on rotational periodicity, for which principal advantages include: any repeating portions can be connected together, not just adjacent ones; nodes can lie on, and members along, the axis of rotational periodicity; complex arithmetic is used for brevity of presentation and speed of computation; two types of rotationally periodic substructures can be used in a multi-level manner; multi-level non-periodic substructuring is permitted within the repeating portions of parent rotationally periodic structures or substructures and; all the substructuring is exact, i.e., the same answers are obtained whether or not substructuring is used. Numerical results are given for a rotationally periodic structure by using exact finite elements and two levels of rotationally periodic substructures. The solution time is about 500 times faster than if none of the rotational periodicity had been used. The solution time would have been about ten times faster still if the software used had included all the substructuring features presented.

전류모드 CMOS를 이용한 GF(P$^{m}$ )상의 셀 배열 승산기 (Cell array multiplier in GF(p$^{m}$ ) using Current mode CMOS)

  • 최재석
    • 융합신호처리학회논문지
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    • 제2권3호
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    • pp.102-109
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    • 2001
  • 본 논문에서는 GF($P^{m}$ )상에서의 새로운 승산 알고리듬과 승산기 구성법을 나타내었다. 유한체 상에서의 두 원소에 대한 승산공식을 유도하였고 유도된 수식에 의해 승산기를 구성하였다. 적용예로 GF(3) 승산 모듈과 덧셈 모듈을 전류 모드 CMOS 기법을 적용하여 구현하였다. 이러한 모듈을 기본 모듈로 사용하여 GF(3$^{m}$ )승산기를 설계하였고 SPICE를 통하여 검증하였다. 제시된 승산기는 규칙적인 셀 구조를 사용하였고 단순히 규칙적인 내부 결선으로 구성된다. 따라서, 유한체 상에서 차수가 m 차로 증가하는 승산에 대해서도 간단히 확장이 가능하다.

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공개키 기반의 암호 시스템에 적합한 모듈러 연산기 알고리즘의 효율적인 설계 (Modular Multiplication Algorithm Design for Application of Cryptosystem based on Public Key Structure)

  • Kim, Jungl-Tae;Hur, Chang-Woo;Ryu, Kwang-Ryul
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2003년도 춘계종합학술대회
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    • pp.469-472
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    • 2003
  • 정보보호 기술이 필요로 하는 분야는 위성통신, CATV, 인터넷, 전자문서 교환(EDI ; Electronic Data Exchange)을 포함한 전자상거래(electronic commerce), smart IC card, EFT(Electronic Funds Transfer) 등 거의 모든 정보통신 산업 관련 분야를 망라하고 있다. 특히 이러한 정보시스템의 경우 암호의 누출 및 hacking 문제는 사회 및 국가 안보분야에도 큰 영향을 미치게 된다. 따라서 본 논문에서는 최근에 무선통신 환경에 적합한 타원형 곡선 알고리즘의 유한체에서의 polynomial과 normal 기저에 대한 연산 결과를 분석하였다.

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도포된 오일의 변화에 따른 Epoxy/EPDM 계면의 교류 절연파괴 특성에 관한 연구 (A Study on the AC Interfacial Breakdown Properties of the Interface between Epoxy/EPDM with Variation of the Spread Oil)

  • 배덕권;정일형;오재한;박우현;이기식;김충혁;이준웅
    • 대한전기학회논문지:전기물성ㆍ응용부문C
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    • 제49권8호
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    • pp.445-450
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    • 2000
  • Many successful developments and microscopic studies have been made on the high quality insulating materials. However, a little attention have given to the macroscopic interface in HV(High Voltage) insulating systems. In this study, AC interfacial breakdown strength and V-t characteristic of the interface between Epoxy/EPDM(ethylene propylene diene terpolymer) are investigated. Electrode system is designed to reduce the charges from electrodes and to have the tangential potentials along the interface between Epoxy/EPDM by FEM(finite elements method). The AC breakdown strength is observed when HV is given to the interface. It is shown that AC interfacial breakdown strength is improved by increasing interfacial pressure and oiling. In particular, it was saturated at certain interfacial pressure level. V-t characteristic is able to extend to the life time of the interface between Epoxy/EPDM. Oiling also plays a good roll in prolongation of the life time.

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Free vibration analysis of rotating beams with random properties

  • Hosseini, S.A.A.;Khadem, S.E.
    • Structural Engineering and Mechanics
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    • 제20권3호
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    • pp.293-312
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    • 2005
  • In this paper, free vibration of rotating beam with random properties is studied. The cross-sectional area, elasticity modulus, moment of inertia, shear modulus and density are modeled as random fields and the rotational speed as a random variable. To study uncertainty, stochastic finite element method based on second order perturbation method is applied. To discretize random fields, the three methods of midpoint, interpolation and local average are applied and compared. The effects of rotational speed, setting angle, random property variances, discretization scheme, number of elements, correlation of random fields, correlation function form and correlation length on "Coefficient of Variation" (C.O.V.) of first mode eigenvalue are investigated completely. To determine the significant random properties on the variation of first mode eigenvalue the sensitivity analysis is performed. The results are studied for both Timoshenko and Bernoulli-Euler rotating beam. It is shown that the C.O.V. of first mode eigenvalue of Timoshenko and Bernoulli-Euler rotating beams are approximately identical. Also, compared to uncorrelated random fields, the correlated case has larger C.O.V. value. Another important result is, where correlation length is small, the convergence rate is lower and more number of elements are necessary for convergence of final response.

Hermite 유동함수법에 의한 자연대류 유동 계산 (Computations of Natural Convection Flow Using Hermite Stream Function Method)

  • 김진환
    • 한국해양공학회지
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    • 제23권5호
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    • pp.1-8
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    • 2009
  • This paper is a continuation of the recent development on Hermite-based divergence free element method and deals with a non-isothermal fluid flow thru the buoyancy driven flow in a square enclosure with temperature difference across the two sides. The basis functions for the velocity field consist of the Hermite function and its curl while the basis functions for the temperature field consists of the Hermite function and its gradients. Hence, the number of degrees of freedom at a node becomes 6, which are the stream function, two velocities, the temperature and its x and y derivatives. This paper presents numerical results for Ra = 105, and compares with those from a stabilized finite element method developed by Illinca et al. (2000). The comparison has been done on 32 by 32 uniform elements and the degree of approximation of elements used for the stabilized finite element are linear (Deg. 1) and quadratic (Deg. 2). The numerical results from both methods show well agreements with those of De vahl Davi (1983).

유한요소법을 이용한 LSP 표면처리 공정의 잔류응력 예측 (Residual Stress Prediction in LSP Surface Treatment by Using FEM)

  • 방부운;손승길;김재민;조종두
    • 대한기계학회논문집A
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    • 제33권8호
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    • pp.767-772
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    • 2009
  • Laser shock peening(LSP) is proving to be better surface treatment than conventional one such as shot peening. The LSP process has a compressive residual stress into a metal alloy and a significant improvement in fatigue life. Our research is focused on applying finite element method to the prediction of residual stress through the LSP processing in some LSP conditions such as pressure and spot size induced by laser. Two analysis methods are considered to calculating the compressive residual stress. But the explicit solution and the static one after partially explicit solving are almost same. In LSP, because of very high strain rate($10^6s^{-1}$), HEL(Hugoniot Elastic Limit) is the most important parameter in material behavior modeling. As the circular laser spot is considered, 2-D axisymmetric elements are used and the infinite elements are applied to boundaries for no reflection. The relations of material properties and the LSP are also important parts in this study.