• 제목/요약/키워드: Beta Distribution Function

검색결과 136건 처리시간 0.024초

CFST의 D/t 제한모델들에 대한 신뢰성해석에서 모델링불확실성을 해결하는 선택적 방법 (An Alternative Perspective to Resolve Modelling Uncertainty in Reliability Analysis for D/t Limitation Models of CFST)

  • 한택희;김정중
    • 한국전산구조공학회논문집
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    • 제28권4호
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    • pp.409-415
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    • 2015
  • 콘크리트충전강관(Concrete Filled Steel Tube, CFST) 기둥 설계 시, 강관의 국부좌굴을 방지하기 위하여 강관두께 t에 대한 기둥외경 D의 크기를 제한하고 있다. 각각의 설계시방서에서 각기 다른 최대 D/t값을 제안하고 있으며, 강재의 항복응력 $f_y$, 또는 $f_y$와 강재의 탄성계수 E의 식으로 표현된다. $f_y$와 E의 불확실성을 고려할 경우, 최대 D/t 계산식을 포함한 한계상태함수(limit state function)를 구성하여 CFST 단면의 국부좌굴에 대한 신뢰성지수(reliability index) ${beta}$를 산정할 수 있다. 결정된 ${beta}$는 사용된 최대 D/t 계산식에 따라 달라질 것이다. 이러한 신뢰성해석(reliability analysis) 결과의 가변성(variability)은 한계상태함수에 포함되는 전산모델 선택의 모호함(ambiguity)에서 기인한 것으로 모델링불확실성(modelling uncertainty)이라 한다. 모델링불확실성은 정보적불확실성(epistemic uncertainty)의 하나로 알려진 불명확성(non-specificity)으로 고려할 수 있으며, 불명확성은 가능성분포함수(possibility distribution function)를 사용하여 모델링할 수 있다. 본 연구 에서는 다른 3개의 최대 D/t 계산식을 사용하여 주어진 CFST 단면의 국부좌굴에 대한 신뢰성해석을 수행하고 각각의 신뢰성지수를 계산할 것이다. 불명확한 신뢰성지수들은 가능성분포함수를 사용하여 모델링되고, 이로부터 확신정도(degree of confirmation)를 측정할 것이다. 확신정도는 신뢰성지수가 감소하면 증가한다. 결과적으로, 확신정도에 따라 재구성된 신뢰성지수들을 얻을 수 있으며, 허용 확신정도와 함께 CFST 단면의 국부좌굴에 대한 신뢰성지수의 결정이 가능하게 된다.

연속열역학을 이용한 다성분 혼합물의 상평형 (Phase Equilibria in Multicomponent Mixtures using Continuous Thermodynamics)

  • 용평순;김기창;권영중
    • 산업기술연구
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    • 제18권
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    • pp.267-275
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    • 1998
  • Continuous thermodynamics has been applied for modeling of phase equilibria in multicomponent mixtures, to avoid disadvantages of the pseudo-component and key-component method. In this paper continuous thermodynamic relations formulated by using the Pate-Teja equation of state were adopted for calculations of phase equilibria in natural gas mixtures, crude oil mixtures and mixtures extracted by supercritical $CO_2$ fluids. Calculations of phase equilibria were performed by two procedures ; a moment method coupled with the beta distribution function and a quadrature method combined with Gaussian-Legendre polynomials. Calculated results were compared with experimental data. It was showed that continuous thermodynamic frameworks considered in this paper were well-matched to experimental data.

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Sequential confidence intervals for the mean with $\beta$-protection in a certain parameter space

  • Kim, Sung-Lai
    • Journal of the Korean Statistical Society
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    • 제19권2호
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    • pp.113-121
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    • 1990
  • Let ${X_n : n=1,2,\cdots}$ be iid random variables with distribution $P_{\theta}, \theta \in H$ where $H$ is some abstract parameter space. We consider a sequential confidence interval I for the mean $\mu = \mu(\theta)$ of $P_{\theta}$ satisfying $P_{\theta}(\mu \in I) \geq 1-\alpha$ and $P_{\theta}(\mu-\delta(\mu) \in I) \leq \beta$ for all $\theta \in H$ for any given an imprecision real valued function $\delta(\mu) > 0$ and error probabilities $0 < \alpha, \beta < 1$. A one-sided sequential confidence interval is constructed under some restriction of the family {P_{\theta} : \theta \in H}$ and the imprecision function $\delta$. This is extended to the two-sided cases.

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Optimal Allocation of Distributed Solar Photovoltaic Generation in Electrical Distribution System under Uncertainties

  • Verma, Ashu;Tyagi, Arjun;Krishan, Ram
    • Journal of Electrical Engineering and Technology
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    • 제12권4호
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    • pp.1386-1396
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    • 2017
  • In this paper, a new approach is proposed to select the optimal sitting and sizing of distributed solar photovoltaic generation (SPVG) in a radial electrical distribution systems (EDS) considering load/generation uncertainties. Here, distributed generations (DGs) allocation problem is modeled as optimization problem with network loss based objective function under various equality and inequality constrains in an uncertain environment. A boundary power flow is utilized to address the uncertainties in load/generation forecasts. This approach facilitates the consideration of random uncertainties in forecast having no statistical history. Uncertain solar irradiance is modeled by beta distribution function (BDF). The resulted optimization problem is solved by a new Dynamic Harmony Search Algorithm (DHSA). Dynamic band width (DBW) based DHSA is proposed to enhance the search space and dynamically adjust the exploitation near the optimal solution. Proposed approach is demonstrated for two standard IEEE radial distribution systems under different scenarios.

RECURRENCE RELATIONS FOR QUOTIENT MOMENTS OF THE PARETO DISTRIBUTION BY RECORD VALUES

  • Lee, Min-Young;Chang, Se-Kyung
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제11권1호
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    • pp.97-102
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    • 2004
  • In this paper we establish some recurrence relations satisfied by quotient moments of upper record values from the Pareto distribution. Let {$X_n,n\qeq1$}be a sequence of independent and identically distributed random variables with a common continuous distribution function(cdf) F($chi$) and probability density function(pdf) f($chi$). Let $Y_n\;=\;mas{X_1,X_2,...,X_n}$ for $ngeq1$. We say $X_{j}$ is an upper record value of {$X_{n},n\geq1$}, if $Y_{j}$$Y_{j-1}$,j>1. The indices at which the upper record values occur are given by the record times ${u( n)}n,\geq1$, where u(n) = min{j|j >u(n-l), $X_{j}$$X_{u(n-1)}$,n\qeq2$ and u(l) = 1. Suppose $X{\epsilon}PAR(\frac{1}{\beta},\frac{1}{\beta}$ then E$(\frac{{X^\tau}}_{u(m)}}{{X^{s+1}}_{u(n)})\;=\;\frac{1}{s}E$ E$(\frac{{X^\tau}}_{u(m)}{{X^s}_{u(n-1)}})$ - $\frac{(1+\betas)}{s}E(\frac{{X^\tau}_{u(m)}}{{X^s}_{u(n)}}$ and E$(\frac{{X^{\tau+1}}_{u(m)}}{{X^s}_{u(n)}})$ = $\frac{1}{(r+1)\beta}$ [E$(\frac{{X^{\tau+1}}}_u(m)}{{X^s}_{u(n-1)}})$ - E$(\frac{{X^{\tau+1}}_u(m)}}{{X^s}_{u(n-1)}})$ - (r+1)E$(\frac{{X^\tau}_{u(m)}}{{X^s}_{u(n)}})$]

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상륙 태풍에 의한 마산만 폭풍해일 변동성 분석 - 1. 극치 모의 태풍 시나리오의 결정 (Variation Analysis of Storm Surges in Masan Bay due to Typhoon Landing-1. Extreme Simulation Typhoon Scenario)

  • Han, Sungdae
    • 한국재난정보학회 논문집
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    • 제11권4호
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    • pp.493-505
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    • 2015
  • 남해안에 상륙한 태풍 자료를 기초로 하여 분석한 결과, 태풍 이동방향의 분포는 Beta 확률밀도함수를 따르며, 태풍 눈에서의 기압저하는 Rayleigh 확률밀도함수를 따르는 것으로 판단되었다. 이를 바탕으로 6개 상륙 지점에 따라 가장 확률적으로 높은 태풍의 진로와 기압저하에 따른 태풍 매미급의 극치 태풍 모의 시나리오를 결정하였다. 모의된 태풍의 상륙지점에 따른 마산만에서의 폭풍해일 변동성이 후속 연구에서 수치 모의될 것이다.

Development of TGF-$\beta$ Resistance During Malignant Progression

  • Kim, Yong-Seok;Yi, Young-Suk;Choi, Shin-Geon;Kim, Seong-Jin
    • Archives of Pharmacal Research
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    • 제22권1호
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    • pp.1-8
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    • 1999
  • Transforming growth factor-$\beta$ (TGF-$\beta$) is the prototypical multifunctional cytokine, participating in the regulation of vital cellular activities such as proliferation and differentiations as well as a number of basic physiological functions. The effects of TGF-$\beta$ are critically dependent on the expression and distribution of a family of TGF-$\beta$ receptors, the TGF-$\beta$ types I, II, and III. It is now known that a wide variety of human pathology can be caused by aberrant expression and function of these receptors. the coding sequence of the type II receptor (RII) appears to render it uniquely susceptible to DNA replication errors in the course of normal cell division. By virtue of its key role in the regulation of cell proliferation, TGF-$\beta$ RII should be considered as a tumor suppressor gene. High levels of mutation in the TGF-$\beta$ RII gene have been observed in a wide range of primarily epithelial malignancies, including colon and gastric cancer. It appears likely that mutation of the TGF-$\beta$ RII gene may be a very critical step in the pathway of carcinogenesis.

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입상체시료의 공극비의 빈도분포 (The Frequency Distribution of Void Ratio of Granular Materials)

  • 도덕현;고재만;오규태
    • 한국지반공학회지:지반
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    • 제4권3호
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    • pp.5-18
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    • 1988
  • 3종의 입상체시료를 대상으로 공극비의 빈도분포, 상대밀도 전단강도 등에 대한 시험연구결과 (1) 유리알의 경우 공극비의 빈도분포는 Shahinpoorl가 제안한 음의 지수분포에 접근하며 입자의 모양은 구형에서 각형의 순으로 변화되는 반면에 조밀한 공극의 빈도는 감소하며 Beta분포로서 잘 나타냈다. (2) 전 시료에서 공극비의 표준편차는 시료의 상대밀도와 입자의 구형성이 감소함에 따라 증가하였다. (3) 전단강도는 평균공극비와 표준편차의 함수일 뿐만 아니라 공극비 분포의 확율밀도함수이다. (4) 공극비는 정도분포가 조밀한 공극쪽으로 기울수록 시료의 전단강도는 더 크며 이의 역도 또한 같다.

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Structural properties of β-Fe2O3 nanorods under compression and torsion: Molecular dynamics simulations

  • Kilic, Mehmet Emin;Alaei, Sholeh
    • Current Applied Physics
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    • 제18권11호
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    • pp.1352-1358
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    • 2018
  • In recent years, one-dimensional (1D) magnetic nanostructures, such as magnetic nanorods and chains of magnetic nanoparticles have received great attentions due to the breadth of applications. Especially, magnetic nanorods has been opened an area of active research and applications in medicine, sensors, optofluidics, magnetic swimming, and microrheology since they possess the unique magnetic and geometric features. This study focuses on the molecular dynamics (MD) simulations of an infinitely long crystal ${\beta}-Fe_2O_3$ nanorod. To elucidate the structural properties and dynamics behavior of ${\beta}-Fe_2O_3$ nanorods, MD simulation is a powerful technique. The structural properties such as equation of state and radial distribution function of bulk ${\beta}-Fe_2O_3$ are performed by lattice dynamics (LD) simulations. In this work, we consider three main mechanisms affecting on deformation characteristics of a ${\beta}-Fe_2O_3$ nanorod: 1) temperature, 2) the rate of mechanical compression, and 3) the rate of mechanical torsion.

Molecular Characterization and Tissue Distribution of Estrogen Receptor Genes in Domestic Yak

  • Fu, Mei;Xiong, Xian-Rong;Lan, Dao-Liang;Li, Jian
    • Asian-Australasian Journal of Animal Sciences
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    • 제27권12호
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    • pp.1684-1690
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    • 2014
  • Estrogen and its receptors are essential hormones for normal reproductive function in males and females during developmental stage. To better understand the effect of estrogen receptor (ER) gene in yak (Bos grunniens), reverse transcription-polymerase chain reaction (PCR) was carried out to clone $ER{\alpha}$ and $ER{\beta}$ genes. Bioinformatics methods were used to analyze the evolutionary relationship between yaks and other species, and real-time PCR was performed to identify the mRNA expression of $ER{\alpha}$ and $ER{\beta}$. Sequence analysis showed that the ER open reading frames (ORFs) encoded 596 and 527 amino acid proteins. The yak $ER{\alpha}$ and $ER{\beta}$ shared 45.3% to 99.5% and 53.9% to 99.1% protein sequence identities with other species homologs, respectively. Real-time PCR analysis revealed that $ER{\alpha}$ and $ER{\beta}$ were expressed in a variety of tissues, but the expression level of $ER{\alpha}$ was higher than that of $ER{\beta}$ in all tissues, except testis. The mRNA expression of $ER{\alpha}$ was highest in the mammary gland, followed by uterus, oviduct, and ovary, and lowest in the liver, kidney, lung, testis, spleen, and heart. The $ER{\beta}$ mRNA level was highest in the ovary; intermediary in the uterus and oviduct; and lowest in the heart, liver, spleen, lung, kidney, mammary gland, and testis. The identification and tissue distribution of ER genes in yaks provides a foundation for the further study on their biological functions.