• 제목/요약/키워드: Poisson's equation

검색결과 230건 처리시간 0.031초

Magneto-thermo-elastic response of a rotating functionally graded cylinder

  • Hosseini, Mohammad;Dini, Ali
    • Structural Engineering and Mechanics
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    • 제56권1호
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    • pp.137-156
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    • 2015
  • In this paper, an analytical solution of displacement, strain and stress field for rotating thick-walled cylinder made of functionally graded material subjected to the uniform external magnetic field and thermal field in plane strain state has been studied. Stress, strain and displacement field as a function of radial coordinates considering magneto-thermo-elasticity are derived analytically. According to the Maxwell electro-dynamic equations, Lorentz force in term of displacement is obtained in cylindrical coordinates. Also, symmetric temperature distribution along the thickness of hollow cylinder is obtained by solving Fourier heat transfer equation in cylindrical coordinates. Using equation of equilibrium and thermo-mechanical constitutive equations associated with Lorentz force, a second-order inhomogeneous differential equation in term of displacement is obtained and will be solved analytically. Except Poisson's ratio, other mechanical properties such as elasticity modulus, density, magnetic permeability coefficient, heat conduction coefficient and thermal expansion coefficient are assumed to vary through the thickness according to a power law. In results analysis, non-homogeneity parameter has been chosen arbitrary and inner and outer surface of cylinder are assumed to be rich metal and rich ceramic, respectively. The effect of rotation, thermal, magnetic field and non-homogeneity parameter of functionally graded material which indicates percentages of cylinder's constituents are studied on displacement, Von Mises equivalent stress and Von Mises equivalent strain fields.

중앙-채널 이중게이트 MOSFET의 양자역학적 모델링 및 시뮬레이션 연구 (Quantum-Mechanical Modeling and Simulation of Center-Channel Double-Gate MOSFET)

  • 김기동;원태영
    • 대한전자공학회논문지SD
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    • 제42권7호
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    • pp.5-12
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    • 2005
  • 본 논문에서는 결합된 슈뢰딩거-푸아송 방정식과 전류연속방정식을 셀프-컨시스턴트하게 계산함으로써, 나노-스케일 center-channel (CC) double-gate (DG) MOSFET 디바이스의 전기적 특성 및 구조해석에 관한 연구를 시행하였다. 10-80 nm 게이트 길이의 조건에서 수행한 CC-NMOS의 시뮬레이션 결과를 DG-NMOS 구조에서 시행한 시뮬레이션 결과와의 비교를 통하여 CC-NMOS 구조에서 나타나는 CC 동작특성 메커니즘과, 이로 인한 전류 및 G$_{m}$의 상승을 확인하였다. 문턱 전압 이하 기울기, 문턱 전압 롤-오프, 드레인 유기 장벽 감소의 파라미터를 통하여 단채널 효과를 최소화하기 위한 디바이스 최적화를 수행하였다. 본 나노-스케일 전계 효과 트랜지스터를 위한 2차원 양자역학적 수치해석의 관한 연구를 통하여, CC-NMOS를 포함한 DG-MOSFET 구조가 40나노미터급 이하 MOSFET 소자의 물리적 한계를 극복하기 위한 이상적인 구조이며, 이와 같은 나노-스케일 소자의 해석에 있어서 양자역학적 모델링 및 시뮬레이션이 필수적임을 알 수 있었다.

Electrohydrodynamic Analysis of Dielectric Guide Flow Due to Surface Charge Density Effects in Breakdown Region

  • Lee, Ho-Young;Kang, In Man;Lee, Se-Hee
    • Journal of Electrical Engineering and Technology
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    • 제10권2호
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    • pp.647-652
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    • 2015
  • A fully coupled finite element analysis (FEA) technique was developed for analyzing the discharge phenomena and dielectric liquid flow while considering surface charge density effects in dielectric flow guidance. In addition, the simulated speed of surface charge propagation was compared and verified with the experimental results shown in the literature. Recently, electrohydrodynamics (EHD) techniques have been widely applied to enhance the cooling performance of electromagnetic systems by utilizing gaseous or liquid media. The main advantage of EHD techniques is the non-contact and low-noise nature of smart control using an electric field. In some cases, flow can be achieved using only a main electric field source. The driving sources in EHD flow are ionization in the breakdown region and ionic dissociation in the sub-breakdown region. Dielectric guidance can be used to enhance the speed of discharge propagation and fluidic flow along the direction of the electric field. To analyze this EHD phenomenon, in this study, the fully coupled FEA was composed of Poisson's equation for an electric field, charge continuity equations in the form of the Nernst-Planck equation for ions, and the Navier-Stokes equation for an incompressible fluidic flow. To develop a generalized numerical technique for various EHD phenomena that considers fluidic flow effects including dielectric flow guidance, we examined the surface charge accumulation on a dielectric surface and ionization, dissociation, and recombination effects.

AC PDP에서 1차원 수치해석을 통한 방전 특성 연구 (An Analysis on the Discharge Characteristics through 1-D Numerical Simulation in an AC PDP)

  • 이주희;서정현;이석현
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2003년도 추계학술대회 논문집 전기물성,응용부문
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    • pp.220-222
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    • 2003
  • In this paper, we analyze on the discharge characteristics through 1-D simulations in an at plasma display panel discharge cell. The model is based on a Poisson' equation, continuity and drift-diffusion equation. Results are presented in a 95% neon, 5% xenon gas mixture, for a gap length of 100us and a gas pressure of 400Torr at ambient temperature. Results for other gap length are also discussed. As a result, an increase of the gap cause increase of luminous efficiency but with larger sustaining voltage.

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Beckward Facing Step의 층류 유동 수치계산 (Numerical Computation of Laminar Flow over a Backward Facing Step)

  • ;반석호;김형태
    • 한국해양공학회지
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    • 제7권2호
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    • pp.150-161
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    • 1993
  • 원초변수를 이용한 Navier-Stokes 방정식의 수치계산기법을 개발하고, 이를 응용하여 backward facing step의 층류 유동을 계산하였다. 직교좌표계에서의 비압축성 Navier-Stokes방정식을 풀기위해 시간과 공간항을 2차 정도의 유한 차분을 사용하여 이산화하였고 비교차격자계를 사용하여 양해법으로 수치 계산하였다. 운동량방정식과 연속방정식으로 부터 유도된 압력방정식(pressure-poisson equation)을 이용하여 무발산 조건을 만족시켰ㄲ다. Backward facing step의 층류 유동을 100.$\leq$R$_e$$\leq$1000 범위에 대해서 수치 계산하였으며 실험결과와 잘 일치하는 결과를 구할 수 있었다. 특히 step뒤에서 생기는 박리구간의 길이는 다른 계산결과들보다 실험치에 가까운 값을 얻을 수 있었으며, Re가 600보다 클때는 위쪽 벽에 또 다른 박리 유동이 발생되는 현상이 예측되었다.

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Pseudo-Spark 방전 특실의 해석(1) (An Analysis of the Characteristics of Pseudo-Spark Discharge)

  • 심재학;장용무;고광철;강형부
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1994년도 하계학술대회 논문집 C
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    • pp.1533-1535
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    • 1994
  • The Monte-Carlo simulation was used to define the physical mechanisms of the initiation phase of pseudo-spark discharge. The pseudo-spark discharge employing the hollow cathode geometry is accompanied by very fast current rising and intense charged particle beams. In this model, time-dependent continuity equation for the electrons and ions were solved consistently with Poisson's equation for the electric field in a two-dimensional, sysmmetrically cylinderical geometry. From the simulation, a sequence of physical mechanisms that cause the rapid current rise associated with the onset of pseudo-spark discharge mode were identified.

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2차 전자방출 효과를 고려한 기체방전의 과도상태 유한요소해석 (Finite Element Analysis of Gas Discharge in Transient State Considering Secondary Electron Emission Effects)

  • 김남경;정기우;최낙선;이세희;김동훈
    • 전기학회논문지
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    • 제59권7호
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    • pp.1276-1281
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    • 2010
  • To analyze the gas discharge phenomena in parallel-plane electrodes, the fully coupled finite element method (FEM) considering secondary electron emission effects in discharge column was adopted in this paper. Two coupled equations of the hydrodynamic diffusion-drift equations for three carriers and the Poisson's equation for electric scalar potential should be solved as a system equation. The proposed method including two secondary electron processes of the photoemission and background ionization has been successfully applied to evaluating the breakdown voltage in parallel-plane electrodes and is verified by comparing its numerical results with the experimental ones. From the obtained results, it is inferred that the proposed numerical scheme will be useful for predicting and understanding streamer transient phenomena.

A unified method for stresses in FGM sphere with exponentially-varying properties

  • Celebi, Kerimcan;Yarimpabuc, Durmus;Keles, Ibrahim
    • Structural Engineering and Mechanics
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    • 제57권5호
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    • pp.823-835
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    • 2016
  • Using the Complementary Functions Method (CFM), a general solution for the one-dimensional steady-state thermal and mechanical stresses in a hollow thick sphere made of functionally graded material (FGM) is presented. The mechanical properties are assumed to obey the exponential variations in the radial direction, and the Poisson's ratio is assumed to be constant, with general thermal and mechanical boundary conditions on the inside and outside surfaces of the sphere. In the present paper, a semi-analytical iterative technique, one of the most efficient unified method, is employed to solve the heat conduction equation and the Navier equation. For different values of inhomogeneity constant, distributions of radial displacement, radial stress, circumferential stress, and effective stress, as a function of radial direction, are obtained. Various material models from the literature are used and corresponding temperature distributions and stress distributions are computed. Verification of the proposed method is done using benchmark solutions available in the literature for some special cases and virtually exact results are obtained.

반 구형 각의 좌굴현상에 대한 응력해석 및 영향인자에 관한 연구 (A Study on the Stress Analysis and Parameters of Bucking in Spherical Shell)

  • 김영수;안두성
    • 수산해양기술연구
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    • 제21권2호
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    • pp.142-150
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    • 1985
  • 1. 반구형 각의 분포 및 집중하중에 의한 좌굴응력 해석은 변형된 각의 형상에 따라 타원체 각의 응력으로 해석함이 타당하다. 2. 일정 한계이상의 형상계수를 갖는 반 구형각에 대하여서는 재료상수를 형상계수의 승수로 고려한 수정된 임계좌굴 하중으로 탄소성 좌굴을 판정함이 더 양호한 결을 준다. 3. 탄소성 좌굴에 있어서 소모된 소성변형 에너지를 계산하기 위하여 항성변형 에너지를 계산하기 위하여 항상선를 따르는 에너지법을 이용하면 양호한 결과를 얻을 수 있다.

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재충전이 있는 연속시간 리스크 모형에서 파산확률 연구 (The Ruin Probability in a Risk Model with Injections)

  • 고한나;최승경;이의용
    • 응용통계연구
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    • 제25권1호
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    • pp.81-87
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    • 2012
  • 재충전이 있는 연속시간 리스크 모형이 고려된다. 프레미엄은 일정한 율로 들어오고, 보험금 청구는 복합 포아송 과정을 따라 이루어진다. 초기 잉여금 u > 0로 시작하여 잉여금은 프레미엄에 의해 증가하고 보험금 청구에 의해 감소한다. 잉여금의 수준이 ${\tau}$(0 < ${\tau}$ < u)아래로 떨어지면 초기 잉여금 수준까지 재충전이 이루어진다고 가정한다. 재충전이 고려된 리스크 모형에서 잉여금이 없어지는 파산확률을 적미분 방정식을 통해 유도하고, 보험 청구액이 독립적으로 지수분포를 따르는 경우는 파산확률의 명확한 공식이 유도됨을 보인다.