• 제목/요약/키워드: function approximations

검색결과 124건 처리시간 0.026초

비-베르누이 적합 트러스 모델을 이용한 RC보의 전단강도 예측 (A Study on Shear Strength of RC Slender Beams Using Non-Bernoulli Compatibility Truss Model (NBCTM))

  • 정제평;김대중;모귀석;김우
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2003년도 가을 학술발표회 논문집
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    • pp.229-233
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    • 2003
  • This paper describes a practical formulation of Non-Bernoulli-Compatibility Truss Model. Not only equilibrium conditions but also some approximations are employed to solve for the unknowns included in the proposed model. By assuming that the ratio of $V_a$ to V remains to be constant along the shear span, the relationship between $\alpha$ and z is mathematically established as an arch shape function. $V_m$ is also approximated to be an empirical value that is equal to the least membrane shear strength. The coefficient a is made utilizing a nonlinear finite element analysis. The adequacy of the model is examined by test results available in literatures, and the predicted values are shown to be in excellent agreement with the experimental results.

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수목구조 지능시스템을 이용한 고차원 공간 위에서의 비선형 근사 (Nonlinear Approximation in High-Dimensional Spaces Using Tree-Structured Intelligent Systems)

  • 길준민;정창호;강성훈;박주영;박대희
    • 한국지능시스템학회논문지
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    • 제6권3호
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    • pp.25-36
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    • 1996
  • 기존의 RBF 신경망 및 퍼지 시스템을 고차원 입력 공간 위에서의 비선형 근사에 적용할 경우 은닉 노드의 수혹은 퍼지 IF-THEN 규칙의 수가 기하급수적으로 증가한다. 본 논문에서는 이러한 문제점을 개선하기 위해 반국소 유닛을 기본 요소로 하는 수목구조지능시스템을 제안하고, 이를 효과적으로 학습하기 위하여 수정 유전자 알고리즘 및 LMS 규칙에 기반을 둔 학습 알고리즘을 개발한다. 제안된 시스템에 대한 근사 능력 해석이 수행되고, 실험적 고찰을 통하여 개발된 방법론의 유용성이 입증된다.

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NON-GREY RADIATIVE TRANSFER IN THE PHOTOSPHERIC CONVECTION : VALIDITY OF THE EDDINGTON APPROXIMATION

  • BACH, KIEHUNN
    • 천문학회지
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    • 제49권1호
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    • pp.1-8
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    • 2016
  • The aim of this study is to describe the physical processes taking place in the solar photosphere. Based on 3D hydrodynamic simulations including a detailed radiation transfer scheme, we investigate thermodynamic structures and radiation fields in solar surface convection. As a starting model, the initial stratification in the outer envelope calculated using the solar calibrations in the context of the standard stellar theory. When the numerical fluid becomes thermally relaxed, the thermodynamic structure of the steady-state turbulent flow was explicitly collected. Particularly, a non-grey radiative transfer incorporating the opacity distribution function was considered in our calculations. In addition, we evaluate the classical approximations that are usually adopted in the onedimensional stellar structure models. We numerically reconfirm that radiation fields are well represented by the asymptotic characteristics of the Eddington approximation (the diffusion limit and the streaming limit). However, this classical approximation underestimates radiation energy in the shallow layers near the surface, which implies that a reliable treatment of the non-grey line opacities is crucial for the accurate description of the photospheric convection phenomenon.

순차적 다항식 근사화를 적용한 효율적 선탐색기법의 개발 (Development of an Efficient Line Search Method by Using the Sequential Polynomial Approximation)

  • 김민수;최동훈
    • 대한기계학회논문집
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    • 제19권2호
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    • pp.433-442
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    • 1995
  • For the line search of a multi-variable optimization, an efficient algorithm is presented. The algorithm sequentially employs several polynomial approximations such as 2-point quadratic interpolation, 3-point cubic interpolation/extrapolation and 4-point cubic interpolation/extrapolation. The order of polynomial function is automatically increased for improving the accuracy of approximation. The method of approximation (interpolation or extrapolation) is automatically switched by checking the slope information of the sample points. Also, for selecting the initial step length along the descent vector, a new approach is presented. The performance of the proposed method is examined by solving typical test problems such as mathematical problems, mechanical design problems and dynamic response problems.

무요소법에서 가중함수를 수정한 필수경계조건 처리법 (Treatment of Essential Boundary Conditions using Modified Weight Functions in Meshless Method)

  • 강명석;윤성기
    • 대한기계학회논문집A
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    • 제24권11호
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    • pp.2705-2712
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    • 2000
  • In meshless methods some techniques to impose essential boundary conditions have been developed since the approximations do not satisfy Kronecker delta properties at nodal points. In this study, new scheme for imposing essential boundary conditions is developed. Weight functions are modified by multiplying with auxiliary weight functions and the resulting shape functions satisfy Kronecker delta property on the bound ary nodes. In addition, the resulting shape functions possess and interpolation features on the boundary segments where essential boundary conditions are prescribed. Therefore the essential boundary conditions can be exactly satisfied with the new method. More importantly, the impositions of essential boundary conditions using the present method is relatively easy as in finite element method. Numerical examples show that the method also retains high convergence rate comparable to Lagrange multiplier method.

A comparative assessment of approximate methods to simulate second order roll motion of FPSOs

  • Somayajula, Abhilash;Falzarano, Jeffrey
    • Ocean Systems Engineering
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    • 제7권1호
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    • pp.53-74
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    • 2017
  • Ship shaped FPSO (Floating Production, Storage and Offloading) units are the most commonly used floating production units to extract hydrocarbons from reservoirs under the seabed. These structures are usually much larger than general cargo ships and have their natural frequency outside the wave frequency range. This results in the response to first order wave forces acting on the hull to be negligible. However, second order difference frequency forces start to significantly impact the motions of the structure. When the difference frequency between wave components matches the roll natural frequency, the structure experiences a significant roll motion which is also termed as second order roll. This paper describes the theory and numerical implementation behind the calculation of second order forces and motions of any general floating structure subjected to waves. The numerical implementation is validated in zero speed case against the commercial code OrcaFlex. The paper also describes in detail the popular approximations used to simplify the computation of second order forces and provides a discussion on the limitations of each approximation.

다변량 왜정규분포 기반 선형결합통계량에 대한 안장점근사 (Saddlepoint Approximation to the Linear Combination Based on Multivariate Skew-normal Distribution)

  • 나종화
    • 응용통계연구
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    • 제27권5호
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    • pp.809-818
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    • 2014
  • 다변량 왜정규분포는 다변량 정규분포를 포함하는 분포로 최근 많은 응용분야에서 활용되고 있다. 본 논문에서는 다변량 왜정규분포를 기반으로 하는 선형결합통계량의 분포함수에 대한 안장점근사를 다루었다. 이는 단변량 왜정규분포 기반 표본평균에 대한 Na와 Yu (2013)의 결과를 선형결합 및 다변량의 경우로 확장한 것이다. 모의실험과 실제자료분석을 통해 제안된 근사법의 유용성과 정확도를 확인하였다.

A two-parameter discrete distribution with a bathtub hazard shape

  • Sarhan, Ammar M.
    • Communications for Statistical Applications and Methods
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    • 제24권1호
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    • pp.15-27
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    • 2017
  • This paper introduces a two-parameter discrete distribution based on a continuous two-parameter bathtub distribution. It is the only two-parameter discrete distribution that shows a bathtub-shaped hazard function. Some statistical properties of the distribution are discussed. Three different methods are used to estimate its two unknown parameters. The point estimators of the parameters have no closed form. The bootstrap method is used to estimate the distributions of these point estimators. Different approximations of the interval estimations for the two-parameters are discussed. Real data sets are analyzed to show how this distribution works in practice. A simulation study is performed to investigate the properties of the estimations obtained and compare their performances.

Simulation of Quantum Effects in the Nano-scale Semiconductor Device

  • Jin, Seong-Hoon;Park, Young-June;Min, Hong-Shick
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제4권1호
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    • pp.32-40
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    • 2004
  • An extension of the density-gradient model to include the non-local transport effect is presented. The governing equations can be derived from the first three moments of the Wigner distribution function with some approximations. A new nonlinear discretization scheme is applied to the model to reduce the discretization error. We also developed a new boundary condition for the $Si/SiO_2$ interface that includes the electron wavefunction penetration into the oxide to obtain more accurate C-V characteristics. We report the simulation results of a 25-nm metal-oxide-semiconductor field-effect transistor (MOSFET) device.

누적합 통계량을 이용한 축차검정에 관한 연구 (A study on sequential test based on cumulative sum of statistics)

  • 박창순;최기철
    • 응용통계연구
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    • 제3권1호
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    • pp.105-120
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    • 1990
  • 이 논문에서는 통계량의 누적합을 이용하여 누적합 검정을 정의하고 그 특성에 대해 연구하였으며, 축차확률비 검정과의 상대효율을 정의하였다. 누적합 검정의 검사특성함수와 평균표본수는 Wald의 근사공식과 Wiener과정 근사에 의해 표현될 수 있음을 보였다. 또한 누적합 검정에서 축차확률비 검정과 점근적으로 동일한 효율성을 나타내는 통계량을 선정할 수 있음을 보였다. 관측값이 지수 분포를 할 때 누적합 검정과 축차확률비 검정의 효율을 예를 들어 비교해 보았다.

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