• Title/Summary/Keyword: Poisson Distribution

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Natural vibration of the three-layered solid sphere with middle layer made of FGM: three-dimensional approach

  • Akbarov, Surkay D.;Guliyev, Hatam H.;Yahnioglu, Nazmiye
    • Structural Engineering and Mechanics
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    • v.57 no.2
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    • pp.239-263
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    • 2016
  • The paper studies the natural oscillation of the three-layered solid sphere with a middle layer made of Functionally Graded Material (FGM). It is assumed that the materials of the core and outer layer of the sphere are homogeneous and isotropic elastic. The three-dimensional exact equations and relations of linear elastodynamics are employed for the investigations. The discrete-analytical method proposed by the first author in his earlier works is applied for solution of the corresponding eigenvalue problem. It is assumed that the modulus of elasticity, Poisson's ratio and density of the middle-layer material vary continuously through the inward radial direction according to power law distribution. Numerical results on the natural frequencies related to the torsional and spheroidal oscillation modes are presented and discussed. In particular, it is established that the increase of the modulus of elasticity (mass density) in the inward radial direction causes an increase (a decrease) in the values of the natural frequencies.

A simple analytical model for deriving the threshold voltage of a SOI type symmetric DG-MOSFET (SOI형 대칭 DG MOSFET의 문턱전압 도출에 대한 간편한 해석적 모델)

  • Lee, Jung-Ho;Suh, Chung-Ha
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.44 no.7 s.361
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    • pp.16-23
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    • 2007
  • For a fully depleted SOI type symmetric double gate MOSFET, a simple expression for the threshold voltage has been derived in a closed-form To solve analytically the 2D Poisson's equation in a silicon body, the two-dimensional potential distribution is assumed approximately as a polynomial of fourth-order of x, vertical coordinate perpendicular to the silicon channel. From the derived expression for the surface potential, the threshold voltage can be obtained as a simple closed-form. Simulation result shows that the threshold voltage is exponentially dependent on channel length for the range of channel length up to $0.01\;[{\mu}m]$.

IPsec Security Server Performance Analysis Model (IPSec보안서버의 성능분석 모델)

  • 윤연상;이선영;박진섭;권순열;김용대;양상운;장태주;유영갑
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.41 no.9
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    • pp.9-16
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    • 2004
  • This paper proposes a performance analysis model of security servers comprising IPSec accelerators. The proposed model is based on a M/M1 queueing system with traffic load of Poisson distribution. The decoding delay has been defined to cover parameters characterizing hardware of security sorrels. Decoding delay values of a commercial IPSec accelerator are extracted yielding less than 15% differences from measured data. The extracted data are used to simulate the server system with the proposed model. The simulated performance of the cryptographic processor BCM5820 is around 75% of the published claimed level. The performance degradation of 3.125% and 14.28% are observed for 64byte packets and 1024byte packets, respectively.

Numerical Simulation of Nitrogen Discharge at Medium Pressure between Point-Plane Electrodes (침-평판 전극 사이에서 중간 압력 질소 방전의 시뮬레이션)

  • Koh, Wook-Hee;Park, In-Ho
    • Journal of the Korean Vacuum Society
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    • v.17 no.6
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    • pp.487-494
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    • 2008
  • The numerical simulation of point-to-plane discharge of nitrogen at medium pressure has been achieved by a quasi-2d numerical model. In the model, we calculate the distributions of electric charges which are varying as temporal and space and determine the electric field depending on space charge distribution by solving Poisson's equation. The continuity equations are treated numerically by using FCT (Flux-Corrected Transport) Algorithm and FEM (Finite Element Method). The numerical simulation results make us to understand the physical characteristics of nitrogen discharge at 50 torr. The comparison with experimental results[1] shows a good qualitative agreement.

Survey Methods on Cancer Epidemic (암의 집단발병에 관한 역학조사방법)

  • Park, Byung-Joo;Bae, Jong-Myon;Ahn, Yoon-Ok;Yoo, Keun-Young
    • Journal of Preventive Medicine and Public Health
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    • v.27 no.3 s.47
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    • pp.411-423
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    • 1994
  • The survey methods for confirming the epidemicity and identifying the possible causes of the cancer epidemic can be different from those for infectious diseases. The procedure for confirming whether the outbreak is epidemic or not is quite different. Household survey for identifying cancer cases and residents actually living at the area should be done. Hospital survey for medical record review should be performed to identify all cancer cases among the residents of the outbreak area and confirmig the final diagnoses of the cancer cases. Comparing the level of cancer incidence or mortality with other areas can be done by using Poisson distribution, or calculating SIR (Standard Incidence Ratio) from cumulative incidence rates. Case-control study can be conducted to identify the etiologic, factors of the cancer epidemic and to establish strategy for preventing further recurrence of the outbreak.

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On the Study of Software Reliability in Quality Testing Metrics (소프트웨어 신뢰도 품질 평가 메트릭에 대한 연구)

  • Jung Hye-Jung
    • Journal of Internet Computing and Services
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    • v.7 no.2
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    • pp.151-160
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    • 2006
  • Software quality evaluation system and software evaluation criterion have to be defined to evaluate software reliability. In this study, we develop software reliability quality metrics for evaluating of software reliability and research for testing of suitable criteria of software reliability. To accomplish a study successfully, we have to estimate the failure time of software using the number of software bugs. Software reliability is very important in software quality. We propose the estimation of software reliability. We propose the software reliability metrics and the software testing method that the basis of international standard ISO/IEC 9126 in software testing metrics.

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Analytical determination of shear correction factor for Timoshenko beam model

  • Moghtaderi, Saeed H.;Faghidian, S. Ali;Shodja, Hossein M.
    • Steel and Composite Structures
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    • v.29 no.4
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    • pp.483-491
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    • 2018
  • Timoshenko beam model is widely exploited in the literature to examine the mechanical behavior of stubby beam-like components. Timoshenko beam theory is well-known to require the shear correction factor in order to recognize the nonuniform shear distribution at a section. While a variety of shear correction factors are appeared in the literature so far, there is still no consensus on the most appropriate form of the shear correction factor. The Saint-Venant's flexure problem is first revisited in the frame work of the classical theory of elasticity and a highly accurate approximate closed-form solution is presented employing the extended Kantorovich method. The resulted approximate solution for the elasticity field is then employed to introduce two shear correction factors consistent with the Cowper's and energy approaches. The mathematical form of the proposed shear correction factors are then simplified and compared with the results available in the literature over an extended range of Poisson's and aspect ratios. The proposed shear correction factors do not exhibit implausible issue of negative values and do not result in numerical instabilities too. Based on the comprehensive discussion on the shear correction factors, a piecewise definition of shear correction factor is introduced for rectangular cross-sections having excellent agreement with the numerical results in the literature for both shallow and deep cross-sections.

A Development of Downscaling Model for Sub-daily Rainfall Based on Bayesian Copula model (Bayesian Copula 모형을 활용한 시간단위 강우량 상세화 기법 모형 개발)

  • Kim, Jin-Young;So, Byung-Jin;Kwon, Duk-Soon;Kwon, Hyun-Han
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.229-229
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    • 2016
  • 현재 국내외에서 제공되고 있는 기후변화 시나리오 자료의 경우 일단위로 제공되고 있다. 그러나 수자원 설계 및 계획 시 중요한 입력자료 중 하나는 시간단위 강우 자료이다. 이러한 시간단위 자료는 강우-유추 분석, 댐 설계 및 위험도 분석에 있어 중요한 입력 변수중 하나이므로 기후변화 시나리오에 따른 영향을 평가하기 위해선 신뢰성 있는 상세화 기법이 필요하다. 국내외에서는 일단위에서 일단위로 상세화 하는 기법, 또는 공간상세화 기법 연구는 상당히 진행된바 있는 반면, 시간단위 상세화 기법 연구는 일단위 연구에 비해 상대적으로 미진한 실정이다. 즉 일단위 상세화 기법의 경우 Weather generator, Weather typing 등 다양한 기법이 존재하고 이를 활용한 연구사례가 많지만, 시간단위 상세화 기법의 Poisson 기법을 활용한 사례가 다수 존재하였다. 이러한 이유로 본 연구에서는 기후변화 시나리오에 따른 영향을 평가하기 위해 Bayesian 기법을 도입하여 신뢰성 있는 시간단위 강우량을 생성할 수 있는 모형을 개발하였으며, 연대별로 산정된 결과는 빈도해석을 통해 미래 확률강우량을 제시하였다. 본 연구에서 제안하고자 하는 Bayesian Copula 모형은 기존 주변확률분포(marginal distribution) 매개변수와 Copula 매개변수 추정시 각각 다른 기법을 활용하여 추정하며, 각각 모형에서 발생하는 불확실성은 추정하지 못하는 반면, Bayesian Copula 모형의 경우 매개변수의 사후분포를 정량적으로 제시할 수 있으며, 추정되는 확률강우량 역시 불확실성을 정량적으로 산정할 수 있는 장점을 확인할 수 있었다.

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Creep analysis of a rotating functionally graded simple blade: steady state analysis

  • Mirzaei, Manouchehr Mohammad Hosseini;Arefi, Mohammad;Loghman, Abbas
    • Steel and Composite Structures
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    • v.33 no.3
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    • pp.463-472
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    • 2019
  • Initial thermo-elastic and steady state creep deformation of a rotating functionally graded simple blade is studied using first-order shear deformation theory. A variable thickness model for cantilever beam has been considered. The blade geometry and loading are defined as functions of length so that one can define his own blade profile and loading using any arbitrary function. The blade is subjected to a transverse distributed load, an inertia body force due to rotation and a distributed temperature field due to a thermal gradient between the tip and the root. All mechanical and thermal properties except Poisson's ratio are assumed to be longitudinally variable based on the volume fraction of reinforcement. The creep behaviour is modelled by Norton's law. Considering creep strains in stress strain relation, Prandtl-Reuss relations, Norton' law and effective stress relation differential equation in term of effective creep strain is established. This differential equation is solved numerically. By effective creep strain, steady state stresses and deflections are obtained. It is concluded that reinforcement particle size and form of distribution of reinforcement has significant effect on the steady state creep behavior of the blade.

Reducing Efficiency Droop in (In,Ga)N/GaN Light-emitting Diodes by Improving Current Spreading with Electron-blocking Layers of the Same Size as the n-pad

  • Pham, Quoc-Hung;Chen, Jyh-Chen;Nguyen, Huy-Bich
    • Current Optics and Photonics
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    • v.4 no.4
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    • pp.380-390
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    • 2020
  • In this study, the traditional electron-blocking layer (EBL) in (In,Ga)N/GaN light-emitting diodes is replaced by a circular EBL that is the same size as the n-pad. The three-dimensional (3D) nonlinear Poisson, drift-diffusion, and continuity equations are adopted to simulate current transport in the LED and its characteristics. The results indicate that the local carrier-density distribution obtained for the circular EBL design is more uniform than that for the traditional EBL design. This improves the uniformity of local radiative recombination and local internal quantum efficiency (IQE) at high injection levels, which leads to a higher lumped IQE and lower efficiency droop. With the circular EBL, the lumped IQE is higher in the outer active region and lower in the active region under the n-pad. Since most emissions from the active region under the n-pad are absorbed by the n-pad, obviously, an LED with a circular EBL will have a higher external quantum efficiency (EQE). The results also show that this LED works at lower applied voltages.