• Title/Summary/Keyword: power-law function

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A Novel Luminance Adaptation Effect Model in Pixel Intensity Domain for Image Quality Assessment: Theory and Application (영상 화질 측정을 위한 픽셀 강도 영역의 새로운 광적응 효과 모델: 이론 및 적용)

  • Bae, Sung-Ho;Kim, Munchurl
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2015.07a
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    • pp.78-80
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    • 2015
  • 광적응(Luminance Adaptation; LA) 효과는 영상의 배경 밝기에 따른 왜곡에 대한 시각 인지 민감도가 달라지는 특성을 의미한다. 기존 영상 화질 측정(Image Quality Assessment; IQA) 방법들은 베버의 법칙(Weber' s law) 모델을 이용하여 LA 효과를 IQA 방법에 반영해왔다. 그러나, 이러한 IQA 방법들에 있어서 베버의 법칙 기반 LA 효과 모델은 다음 두 가지 이유로 부정확하게 동작한다: (i) 전통적인 베버의 법칙 모델은 실제 광도(luminance)에 대한 인지 민감도 응답값을 정확히 반영할 수 없다는 것이 밝혀졌다, (ii) 대부분 IQA 방법들은 픽셀 강도 영역에서 계산되지만, 베버의 법칙과 같은 LA 효과 모델들은 광도 영역에서 개발되었다. 따라서 광도와 픽셀 강도간 비선형 관계로 인해 IQA 방법에 반영된 베버의 법칙 기반 LA 효과 모델들은 부정확하게 동작한다. 이 문제를 해결하기 위해, 본 논문에서 처음으로 픽셀 강도 영역에서의 LA 모델을 이론적으로 유도한다. 본 논문에서 제안하는 픽셀 강도 영역에서의 LA 효과 모델은 감마 교정 함수(Gamma correction function)와 광도 영역에서의 LA 효과 모델인 제곱-법칙(power-law) 모델을 기반으로 하는 테일러 급수 확장 근사화를 통해 유도된다. 제안하는 픽셀 강도 영역 LA 효과 모델의 효과를 검증하기 위해, 제안하는 LA 효과 모델을 PSNR 에 도입하여 광범위한 실험을 수행한다. 실험 결과, 제안하는 LA 효과 모델 기반 PSNR 은 PSNR 및 베버의 법칙 기반 PSNR 대비 괄목할 만한 주관적 화질 예측 성능 향상을 보였다.

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Aerodynamic Performance Prediction of Horizontal Axis Wind Turbine by Vortex Lattice Method (와류 격자법에 의한 수평축 풍력터빈의 공기역학적 성능예측)

  • 유능수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.5
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    • pp.1264-1271
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    • 1990
  • The vortex lattice method was adopted to predict the aerodynamic performance of a horizontal axis wind turbine. For this simulation. the rotor blade was divided into many panels both in chordwise and spanwise direction and then replaced by horseshoe vortices. The wake was divided into two parts of near wake and far wake : the near wake was assumed as helical vortex line elements and the far wake was modeled by semi-infinite circular vortex cylinder. The induced velocity components were calculated by the Biot-Savart law. By this way the power coefficient was obtained and represented as a function of the tip speed ratio. The numerical results obtained were compared with those of the other methods and experimental results and showed good agreement with experimental results.

On the System Modeling and Capacity Scaling Law in Underwater Ad Hoc Networks (수중 애드 혹 네트워크에서의 시스템 모델링 및 용량 스케일링 법칙에 대하여)

  • Shin, Won-Yong;Kim, A-Jung
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.36 no.4B
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    • pp.422-428
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    • 2011
  • In this paper, we introduce system and channel modeling for an underwater ad hoc acoustic network with n regularly located nodes, and then analyze capacity scaling laws based on the model. A narrow-band model is assumed where the carrier frequency is allowed to scale as a function of n. In the network, we characterize in attenuation parameter that depends on the frequency scaling as well as the transmission distance. A cut-set upper bound on the throughput scaling is then derived in extended networks having unit node density. Our result indicates that the upper bound is inversely proportional to the attenuation parameter, thus resulting in a power-limited network. Furthermore, we describe an achievable scheme based on the simple nearest-neighbor multi-hop (MH) transmission. It is shown under extended networks that the MH scheme is order-optimal for all the operating regimes expressed as functions of the attenuation parameter.

Analytical and finite element method for the bending analysis of the thick porous functionally graded sandwich plate including thickness stretching effect

  • Imad Benameur;Youcef Beldjelili;Abdelouahed Tounsi
    • Structural Engineering and Mechanics
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    • v.85 no.5
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    • pp.593-605
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    • 2023
  • This work presents a comparison between analytical and finite element analysis for bending of porous sandwich functionally graded material (FGM) plates. The plate is rectangular and simply supported under static sinusoidal loading. Material properties of FGM are assumed to vary continuously across the face sheets thickness according to a power-law function in terms of the volume fractions of the constituents while the core is homogeneous. Four types of porosity are considered. A refined higher-order shear with normal deformation theory is used. The number of unknowns in this theory is five, as against six or more in other shear and normal deformation theories. This theory assumes the nonlinear variation of transverse shear stresses and satisfies its nullity in the top and bottom surfaces of the plate without the use of a shear correction factor. The governing equations of equilibrium are derived from the virtual work principle. The Navier approach is used to solve equilibrium equations. The constitutive law of the porous FGM sandwich plate is implemented for a 3D finite element through a subroutine in FORTRAN (UMAT) in Abaqus software. Results show good agreement between the finite element model and the analytical method for some results, but the analytical method keeps giving symmetric results even with the thickness stretching effect and load applied to the top surface of the sandwich.

An improved regularized particle filter for remaining useful life prediction in nuclear plant electric gate valves

  • Xu, Ren-yi;Wang, Hang;Peng, Min-jun;Liu, Yong-kuo
    • Nuclear Engineering and Technology
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    • v.54 no.6
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    • pp.2107-2119
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    • 2022
  • Accurate remaining useful life (RUL) prediction for critical components of nuclear power equipment is an important way to realize aging management of nuclear power equipment. The electric gate valve is one of the most safety-critical and widely distributed mechanical equipment in nuclear power installations. However, the electric gate valve's extended service in nuclear installations causes aging and degradation induced by crack propagation and leakages. Hence, it is necessary to develop a robust RUL prediction method to evaluate its operating state. Although the particle filter(PF) algorithm and its variants can deal with this nonlinear problem effectively, they suffer from severe particle degeneracy and depletion, which leads to its sub-optimal performance. In this study, we combined the whale algorithm with regularized particle filtering(RPF) to rationalize the particle distribution before resampling, so as to solve the problem of particle degradation, and for valve RUL prediction. The valve's crack propagation is studied using the RPF approach, which takes the Paris Law as a condition function. The crack growth is observed and updated using the root-mean-square (RMS) signal collected from the acoustic emission sensor. At the same time, the proposed method is compared with other optimization algorithms, such as particle swarm optimization algorithm, and verified by the realistic valve aging experimental data. The conclusion shows that the proposed method can effectively predict and analyze the typical valve degradation patterns.

Analysis on Optimality of Proportional Navigation Based on Nonlinear Formulation (비선형 운동방정식에 근거한 비례항법유도의 최적성에 관한 해석)

  • Jeon, In-Soo;Lee, Jin-Ik
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.37 no.4
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    • pp.367-371
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    • 2009
  • Analysis on optimality of the proportional navigation guidance(PNG) law is presented in this paper. While most of previous studies on optimality of PNG were relied on the linear formulation, this paper is based on the nonlinear formulation. The analysis shows that PNG is an optimal solution minimizing a range-weighted control energy, where the weighting function is an inverse of $\alpha$ power of the distance-to-target. We show that the navigation constant N is related to $\alpha$ directly. And also the conditions required to ensure the analysis result are investigated.

Bending analysis of an imperfect advanced composite plates resting on the elastic foundations

  • Daouadji, Tahar Hassaine;Benferhat, Rabia;Adim, Belkacem
    • Coupled systems mechanics
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    • v.5 no.3
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    • pp.269-283
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    • 2016
  • A two new high-order shear deformation theory for bending analysis is presented for a simply supported, functionally graded plate with porosities resting on an elastic foundation. This porosities may possibly occur inside the functionally graded materials (FGMs) during their fabrication, while material properties varying to a simple power-law distribution along the thickness direction. Unlike other theories, there are only four unknown functions involved, as compared to five in other shear deformation theories. The theories presented are variationally consistent and strongly similar to the classical plate theory in many aspects. It does not require the shear correction factor, and gives rise to the transverse shear stress variation so that the transverse shear stresses vary parabolically across the thickness to satisfy free surface conditions for the shear stress. It is established that the volume fraction of porosity significantly affect the mechanical behavior of thick function ally graded plates. The validity of the two new theories is shown by comparing the present results with other higher-order theories. The influence of material parameter, the volume fraction of porosity and the thickness ratio on the behavior mechanical P-FGM plate are represented by numerical examples.

Numerical Analysis on Flow Phenomena of the Wake behind the Rectangular Obstacle in the Channel (관내 사각지주 후류의 유동현상에 대한 수치해석)

  • Min Yeong-Ui;Kim Yeon-Soo;Kim You-Gon
    • Journal of computational fluids engineering
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    • v.6 no.2
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    • pp.22-31
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    • 2001
  • The two-dimensional unsteady incompressible viscous flow behind rectangular bluff bodies between two parallel plates was analyzed numerically. The steady state flow and the vortex flow behind rectangular bluff bodies in the channel were investigated for two regimes i.e., the laminar(Re = 100, 300, 500) and the turbulent flows(Re = 10⁴∼10/sup 6/). The vortex shedding was generated by a physical disturbance(6%) numerically imposed at the rear of the bluff bodies for a short time. It was observed that the perturbed flow became periodic after a transient period. And in the case of unsteady inflow, the sinusoidal pulsatile flow was applied as the inlet condition in the turbulent flow of Reynolds number of 1.0×10/sup 5/. FLUENT code was employed to solve the problems. The power-law scheme was used to get stable linearized equations and the PISO algorithm was applied to finding the solution of them.

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An Engineering Method for Non-Linear Fracture Mechanics Analysis of Circumferential Through-Wall Cracked Pipes Under Internal Pressure (내압이 작용하는 원주방향 관통균열 배관의 비선형 파괴역학 해석법)

  • Huh, Nam-Su;Kim, Yun-Jae;Kim, Young-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.6
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    • pp.1099-1106
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    • 2002
  • This paper provides engineering J-integral and crack opening displacement (COD) estimation equations for circumferential through-wall cracked pipes under internal pressure and under combined internal pressure and bending. Based on selected 3-D finite element calculations for the circumferential through-wall cracked pipes under internal pressure using the idealized power law materials, the elastic and plastic influence functions for fully plastic J-integral and COD solutions are found as a function of the normalized crack length and the mean radius-to-thickness ratio. These developed GE/EPRI-type solutions are then re-formulated based on the enhanced reference stress method. Such re-formulation not only provides simpler equations for J-integral and COD estimations, but also can be easily extended to combined internal pressure and bending. The proposed equations are compared with elastic-plastic finite element results using actual stress-strain data, which shows overall excellent agreement.

Magneto-thermo-elastic response of a rotating functionally graded cylinder

  • Hosseini, Mohammad;Dini, Ali
    • Structural Engineering and Mechanics
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    • v.56 no.1
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    • pp.137-156
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    • 2015
  • In this paper, an analytical solution of displacement, strain and stress field for rotating thick-walled cylinder made of functionally graded material subjected to the uniform external magnetic field and thermal field in plane strain state has been studied. Stress, strain and displacement field as a function of radial coordinates considering magneto-thermo-elasticity are derived analytically. According to the Maxwell electro-dynamic equations, Lorentz force in term of displacement is obtained in cylindrical coordinates. Also, symmetric temperature distribution along the thickness of hollow cylinder is obtained by solving Fourier heat transfer equation in cylindrical coordinates. Using equation of equilibrium and thermo-mechanical constitutive equations associated with Lorentz force, a second-order inhomogeneous differential equation in term of displacement is obtained and will be solved analytically. Except Poisson's ratio, other mechanical properties such as elasticity modulus, density, magnetic permeability coefficient, heat conduction coefficient and thermal expansion coefficient are assumed to vary through the thickness according to a power law. In results analysis, non-homogeneity parameter has been chosen arbitrary and inner and outer surface of cylinder are assumed to be rich metal and rich ceramic, respectively. The effect of rotation, thermal, magnetic field and non-homogeneity parameter of functionally graded material which indicates percentages of cylinder's constituents are studied on displacement, Von Mises equivalent stress and Von Mises equivalent strain fields.