• 제목/요약/키워드: Poisson's equation

검색결과 230건 처리시간 0.023초

패널법을 이용한 유한수심에서의 조파저항 계산 (Computation of Wave Resistance in the Water of Finite Depth Using a Panel Method)

  • 이승준
    • 대한조선학회논문집
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    • 제29권4호
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    • pp.66-74
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    • 1992
  • 유한수심의 해역에서 운동하는 잠수체 혹은 부유체의 조파저항을 계산하기 위하여 Hess & Smith(1962)와 Dawson(1977)류의 패널법을 개발하였다. 수면상에서의 경계조건은 소위 Poisson 식을 사용하였는데, 비슷한 문제에 대해 Yasukawa(1989)는 이중물체유동을 기본유동으로 하는 Damson식을 사용한 바 있다. 수저면에서의 경계조건을 자동적으로 만족시키기 위하여 Rankine 쏘오스와 수저면에 대한 경상 쏘오스의 합을 Green 함수로 취하였으며, 따라서 특이점은 선체와 자유표면 상에만 분포시키면 되므로 필요한 패널의 수는 Yasukawa의 방법에 비해 절반이하로 감소되었다. 계산예로서는 잠수한 구와 Wigley선형을 택하였으며, 기존의 해석해 및 수치해와 비교하여 잘 일치하는 결과를 얻었다.

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기체 방전의 시뮬레이션을 위한 FE-FCT를 이용한 준 2차원적 수치 모델 (A Quasi Two-Dimensional Model for Gas Discharge Simulation Using FE-FCT Method)

  • 고욱희;박인호
    • 한국진공학회지
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    • 제17권6호
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    • pp.511-517
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    • 2008
  • 기체 방전의 수치적 시뮬레이션을 위하여 FE-FCT(Finite-Element Flux-Corrected Transport) 방법을 이용한 준 2차원 수치적 모델을 제시한다. 이 모델에서는 전자와 이온에 대한 1차원 연속방정식을 풀어 시 공간적으로 변하는 전하 분포를 계산하고, 공간 전하 분포에 의한 전기장의 변화는 2차원적 전하 분포를 고려하는 디스크 방법을 적용하여 푸아송(Poisson)방정식을 풀어 계산한다. 다양한 벤치마크 문제에 대해 계산한 결과는 이 모델의 정확성과 적용성을 잘 보여준다. 또 스트리머 방전에 대해 계산한 결과는 앞선 연구 결과와 잘 일치하는 것을 보여 준다.

채널도핑강도에 대한 DGMOSFET의 DIBL분석 (Analysis of Drain Induced Barrier Lowering for Double Gate MOSFET According to Channel Doping Intensity)

  • 정학기
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2011년도 추계학술대회
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    • pp.888-891
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    • 2011
  • 본 연구에서는 이중게이트(Double Gate; DG) MOSFET에서 발생하는 단채널효과 중 하나인 드레인유기장벽 감소(Drain Induced Barrier Lowering; DIBL)에 대하여 분석하고자 한다. 드레인 유기장벽감소 현상은 채널의 길이가 짧아질 때 드레인 전압이 소스쪽 장벽에 영향을 미쳐 장벽의 높이를 감소시키는 현상으로써 단채널에서 발생하는 매우 중요한 효과이다. 본 연구에서는 DIBL을 해석하기 위하여 이미 발표된 논문에서 타당성이 입증된 포아송방정식의 해석학적 전위분포를 이용할 것이다. 이 모델은 특히 전하분포함수에 대하여 가우시안 함수를 사용함으로써 보다 실험값에 가깝게 해석하였으며 소자 파라미터인 채널두께, 산화막두께, 도핑강도 등에 대하여 드레인 유기장벽감소의 변화를 관찰하고자 한다.

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CURVED DOMAIN APPROXIMATION IN DIRICHLET'S PROBLEM

  • Lee, Mi-Young;Choo, Sang-Mok;Chung, Sang-Kwon
    • 대한수학회지
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    • 제40권6호
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    • pp.1075-1083
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    • 2003
  • The purpose of this paper is to investigate the piecewise wise polynomial approximation for the curved boundary. We analyze the error of an approximated solution due to this approximation and then compare the approximation errors for the cases of polygonal and piecewise polynomial approximations for the curved boundary. Based on the results of analysis, p-version numerical methods for solving Dirichlet's problems are applied to any smooth curved domain.

Vibration and mode shape analysis of sandwich panel with MWCNTs FG-reinforcement core

  • Tahouneh, Vahid
    • Steel and Composite Structures
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    • 제25권3호
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    • pp.347-360
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    • 2017
  • The goal of this study is to fill this apparent gap in the area about vibration analysis of multiwalled carbon nanotubes (MWCNTs) curved panels by providing 3-D vibration analysis results for functionally graded multiwalled carbon nanotubes (FG-MWCNTs) sandwich structure with power-law distribution of nanotube. The effective material properties of the FG-MWCNT structures are estimated using a modified Halpin-Tsai equation. Modified Halpin-Tsai equation was used to evaluate the Young's modulus of MWCNT/epoxy composite samples by the incorporation of an orientation as well as an exponential shape factor in the equation. The exponential shape factor modifies the Halpin-Tsai equation from expressing a straight line to a nonlinear one in the MWCNTs wt% range considered. Also, the mass density and Poisson's ratio of the MWCNT/phenolic composite are considered based on the rule of mixtures. Parametric studies are carried out to highlight the influence of MWCNT volume fraction in the thickness, different types of CNT distribution, boundary conditions and geometrical parameters on vibrational behavior of FG-MWCNT thick curved panels. Because of using two-dimensional generalized differential quadrature method, the present approach makes possible vibration analysis of cylindrical panels with two opposite axial edges simply supported and arbitrary boundary conditions including Free, Simply supported and Clamped at the curved edges. For an overall comprehension on 3-D vibration analysis of sandwich panel, some mode shape contour plots are reported in this research work.

Short-Channel MOSFET의 해석적 모델링 (Analytical modeling for the short-channel MOSFET)

  • 홍순석
    • 한국통신학회논문지
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    • 제17권11호
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    • pp.1290-1298
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    • 1992
  • 본 논문은 fitting 파라미터를 배제하고 2차원적 Poisson 방정식을 도출해서 short-channel MOSFET의 model 식을 완전히 해석적으로 성립시켰다. 이로 인해 포화영역, 문턱전압, 강반전에 대한 것이 동시에 표현되는 정확한 드레인 전류가 유도되었다. 더욱이 이 model은 short-channel과 body효과, DIBL효과, 그리고 carrier운동에 대한 것도 설명할 수 있으며 온도와 $n^+$접합, 산화층에 관련되는 문턱전압도 표현할 수 있었다.

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反復荷重을 받는 흙의 構成關係式 開發 (Development of Constitutive Equation for Soils Under Cyclic Loading Conditions)

  • 장병욱;송창섭
    • 한국농공학회지
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    • 제34권1호
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    • pp.41-48
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    • 1992
  • Various soil behaviors usually occurring in the geotechnical problems, such as, cutting and embankments, stability of slope, seepage, consolidations, shearing failures and liquefaction, should be predicted and analyzed in any way. An approach of these predictions may be followed by the development of the constitutive equations as first and subsequently solved by numerical methods. The purpose of this paper is develop the constitutive equation of sands uder monotonic or cyclic loadings. The constitutive equation which is based on elasto-plastic theory, modified anisotropic consolidated stress parameter by Sekiguchi et al and Pender's theory is derived. And the equation is included a new stress parameter, hardening function, Bauschinger's effects and Pender's theory. The model is later evaluated and confirmed the validity by the test data of Ottawa sand, Banwol sand Hongseong sand. The following conclustions may be drawn: 1. The consititutive equation which is based on elasto-plastic theory, modified anisotropic consolidated stress parpameter by Sekiguchi et al and Pender's theory is derived. The equation in included a new stress parameter, hardening function, Bauschinger's effect and Pender's theory. 2. For Ottawa sand, the result of the constitutive equation shows a better agreement than that of Oka et al. The result of axial strain agrees well with the tested data. However, the result of horizontal strain is little bit off for the cyclic loadings or large stress. It is thought that the deviation may be improved by considering Poisson's ratio and precise measurement of shear modulus. 3. Banwol sand is used for the strain and stress tests with different relative densitites and confining pressures. The predeicted result shows a good agreement with the tested data because the required material parameters were directly measurd and determined form this laboratory. 4. For Hongseong sand, the tests under same amplitude of cyclic deviatoric stress shows a similar result with the tested data in absolute strain. It shows the acute shape of turning point because the sine wave of input is used in the test but the serrated wave in prediction.

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Forced vibration of surface foundation on multi-layered half space

  • Chen, Lin
    • Structural Engineering and Mechanics
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    • 제54권4호
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    • pp.623-648
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    • 2015
  • A numerical approach is presented for the analysis of the forced vibration of a rigid surface foundation with arbitrary shape. In the analysis, the foundation is discretized into a number of sub squaree-lements. The dynamic response within each sub-element is described by the Green's function, which is obtained by the Fourier-Bessel transform and Precise Integration Method (PIM). Incorporating the displacement boundary condition and force equilibrium of the foundation, it obtains a system of linear algebraic equation in terms of the contact forces within each sub-element. Solving the equation leads to the desired dynamic impedance functions of the foundation. Numerical results are obtained for foundation not only with simple geometrical configurations, such as rectangular and circular foundation, but also the case of irregularly shaped foundation. Several comparisons between the proposed approach and other methods are made. Very good agreement is reached. Also, parametric studies are carried out on the dynamic response of foundation. Addressed in this study are the effects of Poisson's ratio, material damping and contact condition of soil-foundation interface. Several conclusions are drawn the significance of the factors.

멱급수 반대칭하중을 받는 다층재 중앙균열의 응력세기계수 (Stress Intensity Factor for Multi-Layered Material Under Polynomial Anti-Symmetric Loading)

  • 이강용;김성호;박문복
    • 대한기계학회논문집
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    • 제18권12호
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    • pp.3219-3226
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    • 1994
  • A model is constructed to evaluate the stress intensity factors for a center crack subjected to polynomial anti-symmetric loading in a layered material. A Fredholm integral equation is derived by Fourier integral transform method. The integral equation is numerically analyzed to evaluate the effects of the ratios of shear modulus, Poisson's ratio and crack length to layer thickness as well as the number of layers on the stress intensity factor. The stress intensity factors are approached to constant values as the number of layers increase and decrease as the polynomial power of the loading increase. In case of the E-glass/Epoxy composite, dimensionless stress intensity factor is affected by cracked-resin layer thickness.

Estimation of Users' Waiting Cost at Container Terminals in Northern Vietnam

  • Duc, Nguyen Minh;Kim, Sung-June;Jeong, Jung-Sik
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2017년도 추계학술대회
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    • pp.27-29
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    • 2017
  • Container terminals in Northern Vietnam have recorded an impressive development in recent years. This development, however, also raises a fierce competition among local container terminals to attract customers. Beside the handling charges, the vessels' waiting cost is also an important factor that drive the opinion of users in choosing appropriate terminal. This research plans to estimate the waiting cost in different container terminals in Northern Vietnam by building regression equation that describe the relationship between the rate of throughput/capacity and waiting cost/TEU. Queuing theory with the application of Poisson distibution is used to estimate the waiting time of arrival vessels and uncertainty theory is applied to estimate the vessel's daily expenses. Previous studies suggested two different formation of the equation and according to the research results, cubic equation is more suitable in the given case. The research results are also useful for further research which require calculation of waiting cost per TEU in each container terminal in Northern Vietnam.

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