• 제목/요약/키워드: Poisson's equation

검색결과 230건 처리시간 0.031초

A Stochastic Differential Equation Model for Software Reliability Assessment and Its Goodness-of-Fit

  • Shigeru Yamada;Akio Nishigaki;Kim, Mitsuhiro ura
    • International Journal of Reliability and Applications
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    • 제4권1호
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    • pp.1-12
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    • 2003
  • Many software reliability growth models (SRGM's) based on a nonhomogeneous Poisson process (NHPP) have been proposed by many researchers. Most of the SRGM's which have been proposed up to the present treat the event of software fault-detection in the testing and operational phases as a counting process. However, if the size of the software system is large, the number of software faults detected during the testing phase becomes large, and the change of the number of faults which are detected and removed through debugging activities becomes sufficiently small compared with the initial fault content at the beginning of the testing phase. Therefore, in such a situation, we can model the software fault-detection process as a stochastic process with a continuous state space. In this paper, we propose a new software reliability growth model describing the fault-detection process by applying a mathematical technique of stochastic differential equations of an Ito type. We also compare our model with the existing SRGM's in terms of goodness-of-fit for actual data sets.

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Thermoelastoplastic response of FGM linearly hardening rotating thick cylindrical pressure vessels

  • Ebrahimi, Tayebeh;Nejad, Mohammad Zamani;Jahankohan, Hamid;Hadi, Amin
    • Steel and Composite Structures
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    • 제38권2호
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    • pp.189-211
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    • 2021
  • An analytical solution is presented to analyze the thermoelastoplastic response of a rotating thick-walled cylindrical pressure vessel made of functionally graded material (FGM). The analysis is based on Tresca's yield condition, its associated flow rule and linear strain hardening material behaviour. The uncoupled theory of thermoelasticity is used, and the plane strain condition is assumed. The material properties except for Poisson's ratio, are assumed to vary nonlinearly in the radial direction. Elastic, partially plastic, fully plastic, and residual stress states are investigated. The heat conduction equation for the one-dimensional problem in cylindrical coordinates is used to obtain temperature distribution in the vessel. It is assumed that the inner surface is exposed to an airstream and that the outer surface is exposed to a uniform heat flux. Tresca's yield criterion and its associated flow rule are used to formulate six different plastic regions for a linearly hardening condition. All these stages are studied in detail. It is shown that the thermoelastoplastic stress response of a rotating FGM pressure vessel is affected significantly by the nonhomogeneity of the material and temperature gradient. The results are validated with those of other researchers for appropriate values of the system parameters and excellent agreement is observed.

이중게이트 MOSFET의 채널도핑분포의 형태에 따른 문턱전압특성분석 (Analysis of Channel Doping Profile Dependent Threshold Voltage Characteristics for Double Gate MOSFET)

  • 정학기;한지형;이재형;정동수;이종인;권오신
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2011년도 춘계학술대회
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    • pp.664-667
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    • 2011
  • 본 연구에서는 차세대 나노소자인 DGMOSFET에서 발생하는 단채널효과 중 하나인 문턱전압특성에 대하여 분석하고자 한다. 특히 포아송방정식을 풀 때 전하분포를 가우시안 함수를 사용함으로써 보다 실험값에 가깝게 해석하였으며 이때 가우시안 함수의 변수인 이온주입범위 및 분포편차에 대하여 문턱전압의 변화를 관찰하고자 한다. 포아송방정식으로 부터 해석학적 전위분포 모델을 구하였으며 이를 이용하여 문턱전압을 구하였다. 문턱전압은 표면전위가 페르미전위의 두배가 될 때 게이트 전압으로 정의되므로 표면전위의 해석학적 모델을 구하여 문턱전압을 구하였다. 본 연구의 모델이 타당하다는 것을 입증하기 위하여 포텐셜 분포값을 수치해석학적 값과 비교하였다. 결과적으로 본 연구에서 제시한 포텐셜모델이 수치해석학적 시뮬레이션모델과 매우 잘 일치하였으며 DGMOSFET의 도핑분포 함수의 형태에 따라 문턱전압 특성을 분석하였다.

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코앤다 효과를 이용한 순환 제어 날개의 수치적 연구 (A Numerical Study on a Circulation Control Foil using Coanda Effect)

  • 박제준;이승희
    • 대한조선학회논문집
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    • 제37권2호
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    • pp.70-76
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    • 2000
  • 2차원 순환 제어 날개 주위의 점성 유동을 수치적으로 해석하여 선박 해양 분야에 적용하기 위한 기초적 연구를 수행하였다. 지배 방정식으로는 2차원 비 압축성 RANS 방정식과 연속 방정식을 사용하였으며, 유한 차분법과 MAC법을 이용하여 이를 차분화 하였다. 또한, 압력 Poisson 방정식은 SOR 법을 이용하여 계산하였고, 모든 물리량이 격자점에 위치하도록 하였으며, 슬롯의 형상을 잘 표현하기 위해 격자계가 엇갈린 O형 비교차 중첩 격자계를 도입하였다. 코앤다 효과는 주로 난류 영역에서 나타나므로 수정된 Baldwin-Lomax 난류 모델을 도입하였다. 본 연구에서는 이러한 수치 계산 조직을 활용하여 뒷날이 원형으로 변형된 20% 두께의 타원 날개에 대한 코앤다 효과를 조사하기 위하여 분사 모멘텀을 달리 하며 시간에 따른 양 항력 특성의 변화를 계산하고, 그 결과를 실험치와 비교하여 잘 일치함을 보였다.

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유리섬유 보강집성재 볼트 접합부 전단내력 예측 (Estimate of Bolt Connection Strength of Reinforced Glulam using Glass Fiber)

  • 김건호;홍순일
    • Journal of the Korean Wood Science and Technology
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    • 제44권1호
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    • pp.67-74
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    • 2016
  • 유리섬유 보강집성재의 볼트접합부 항복전단내력을 예측하기 위해 인장형 전단시험을 통해 측정된 실측값과 설계기준에 의한 예측값을 비교하였다. 볼트접합부의 항복전단내력 예측식을 위해 층재의 방향별 탄성계수, 포아송비, 전단계수를 측정하였다. 설계기준의 예측식 보정을 위해 유리섬유 보강집성재의 파괴거동을 반영한 파괴인성계수($K_{ft}$)를 적용하여 보정항복전단내력을 비교하였다. 층재의 탄성계수는 섬유방향에 따라 연륜폭, 연륜각과 높은 상관관계를 보였다. 유리섬유 보강집성재의 보정항복전단내력은 직경과 보강재에 따라 실측치와 비슷한 경향을 보였으며, 직물형 유리섬유보강집성재의 볼트접합부가 가장 높은 내력성능을 보였다. 볼트직경과 보강재에 따른 유리섬유 보강집성재 볼트접합부의 항복전단내력은 건축구조설계기준의 제안식을 보정한 예측치가 가장 잘 일치하였다.

Compact Current Model of Single-Gate/Double-Gate Tunneling Field-Effect Transistors

  • Yu, Yun Seop;Najam, Faraz
    • Journal of Electrical Engineering and Technology
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    • 제12권5호
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    • pp.2014-2020
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    • 2017
  • A compact current model applicable to both single-gate (SG) and double-gate (DG) tunneling field-effect transistors (TFETs) is presented. The model is based on Kane's band-to-band tunneling (BTBT) model. In this model, the well-known and previously-reported quasi-2-D solution of Poisson's equation is used for the surface potential and length of the tunneling path in the tunneling region. An analytical tunneling current expression is derived from expressions of derivatives of local electric field and surface potential with respect to tunneling direction. The previously reported correction factor with three fitting parameters, compensating for superlinear onset and saturation current with drain voltage, is used. Simulation results of the proposed TFET model are compared with those from a technology computer-aided-design (TCAD) simulator, and good agreement in all operational bias is demonstrated. The proposed SG/DG-TFET model is developed with Verilog-A for circuit simulation. A TFET inverter is simulated with the Verilog-A SG/DG-TFET model in the circuit simulator; the model exhibits typical inverter characteristics, thereby confirming its effectiveness.

Free vibration analysis of FG plates resting on the elastic foundation and based on the neutral surface concept using higher order shear deformation theory

  • Benferhat, Rabia;Daouadji, Tahar Hassaine;Mansour, Mohamed Said;Hadji, Lazreg
    • Earthquakes and Structures
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    • 제10권5호
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    • pp.1033-1048
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    • 2016
  • An analytical solution based on the neutral surface concept is developed to study the free vibration behavior of simply supported functionally graded plate reposed on the elastic foundation by taking into account the effect of transverse shear deformations. No transversal shear correction factors are needed because a correct representation of the transversal shearing strain obtained by using a new refined shear deformation theory. The foundation is described by the Winkler-Pasternak model. The Young's modulus of the plate is assumed to vary continuously through the thickness according to a power law formulation, and the Poisson ratio is held constant. The equation of motion for FG rectangular plates resting on elastic foundation is obtained through Hamilton's principle. Numerical examples are provided to show the effect of foundation stiffness parameters presented for thick to thin plates and for various values of the gradient index, aspect and side to thickness ratio. It was found that the proposed theory predicts the fundamental frequencies very well with the ones available in literature.

C-1 유한요소법에 의한 축대칭장 문제의 해석 (The Analysis of Axisymmetric Field Problem by C-1 FEM)

  • 장잉규;곽동수;신홍교
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 추계학술대회 논문집 학회본부 A
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    • pp.21-23
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    • 1999
  • In this paper, the analysis of the electric field in the chamber of high voltage $SF_6$ GCB(Gas Circuit Breaker) is presented by using C-1 FEM. For this purpose, pre-processing program and post-processing program were developed for axisymmetirc 3 dimensional analysis and the electric field in cylindric chamber was analyzed. Important problem is that electric analysis must be considered coronal due to break-down of $SF_6$ when it is cutted off. To solve this problem, a procedure is needed to verify that the solution of Poisson's equation for scalar potential satisfy charge continuos condition because of using first order element os not satisfy the electric continuous condition, C-1 FEM is introduce to obtain electirc potential and electric field at the same time. Analysis of the distribution of electric field on model was done. It is confirmed that the developed program in this paper applicable to design and to analyze of characteristics in total program as electric characteristics analysis routine.

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Free vibration and buckling analyses of functionally graded annular thin sector plate in-plane loads using GDQM

  • Mohammadimehr, Mehdi;Afshari, Hasan;Salemi, M.;Torabi, K.;Mehrabi, Mojtaba
    • Structural Engineering and Mechanics
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    • 제71권5호
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    • pp.525-544
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    • 2019
  • In the present study, buckling and free vibration analyses of annular thin sector plate made of functionally graded materials (FGMs) resting on visco-elastic Pasternak foundation, subjected to external radial, circumferential and shear in-plane loads is investigated. Material properties are assumed to vary along the thickness according to an power law with Poisson's ratio held constant. First, based on the classical plate theory (CPT), the governing equation of motion is derived using Hamilton's principle and then is solved using the generalized differential quadrature method (GDQM). Numerical results are compared to those available in the literature to validate the convergence and accuracy of the present approach. Finally, the effects of power-law exponent, ratio of radii, thickness of the plate, sector angle, and coefficients of foundation on the fundamental and higher natural frequencies of transverse vibration and critical buckling loads are considered for various boundary conditions. Also, vibration and buckling mode shapes of functionally graded (FG) sector plate have been shown in this research. One of the important obtained results from this work show that ratio of the frequency of FG annular sector plate to the corresponding values of homogeneous plate are independent from boundary conditions and frequency number.

Bending analysis of functionally graded plates with arbitrary shapes and boundary conditions

  • Panyatong, Monchai;Chinnaboon, Boonme;Chucheepsakul, Somchai
    • Structural Engineering and Mechanics
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    • 제71권6호
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    • pp.627-641
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    • 2019
  • The paper focuses on bending analysis of the functionally graded (FG) plates with arbitrary shapes and boundary conditions. The material property of FG plates is modelled by using the power law distribution. Based on the first order shear deformation plate theory (FSDT), the governing equations as well as boundary conditions are formulated and obtained by using the principle of virtual work. The coupled Boundary Element-Radial Basis Function (BE-RBF) method is established to solve the complex FG plates. The proposed methodology is developed by applying the concept of the analog equation method (AEM). According to the AEM, the original governing differential equations are replaced by three Poisson equations with fictitious sources under the same boundary conditions. Then, the fictitious sources are established by the application of a technique based on the boundary element method and approximated by using the radial basis functions. The solution of the actual problem is attained from the known integral representations of the potential problem. Therefore, the kernels of the boundary integral equations are conveniently evaluated and readily determined, so that the complex FG plates can be easily computed. The reliability of the proposed method is evaluated by comparing the present results with those from analytical solutions. The effects of the power index, the length to thickness ratio and the modulus ratio on the bending responses are investigated. Finally, many interesting features and results obtained from the analysis of the FG plates with arbitrary shapes and boundary conditions are demonstrated.