• Title/Summary/Keyword: approximate approach

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Dynamic Stability of a Flexible Cylinder Subjected to Inviscid Flow in a Coaxial Cylindrical Duct Based on Spectral Method (스펙트럼 배치방법에 의한 원형도관내의 비점성유동장에 놓인 유연성 실린더의 안정성 분석)

  • Sim, Woo-Gun;Bae, Yoon-Yeong
    • Nuclear Engineering and Technology
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    • v.26 no.2
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    • pp.212-224
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    • 1994
  • A numerical method has been developed for studying the dynamics of a flexible cylinder in a coaxial cylindrical duct, immersed in inviscid flow. The unsteady inviscid fluid-dynamic force acting on the oscillating cylinder has been estimated more rigorously by means of a spectral collocation method without simplification of governing equations. This numerical approach is applicable to the system haying wider annular gap and/or shorter length of cylinder as compared to existing potential theory. The governing equation of the unsteady flow was obtained from Laplace equation. The equation of cylinder motion coupled with the fluid motion was discretized by Galerkin's method, from which the dynamic behaviour of the system has been evaluated. The effect of the length of the cylinder and the annular gap on the critical flour velocity, where the system loses stability by buckling, was investigated. To validate the numerical method, the potential flow theory developed by Hobson based on thin film approximation has been improved. Typical results of the present numerical theory on the dynamics and stability of the system are compared with those of available existing theory and the present approximate results. Good agreement was found between the results. It was also found that a nondimensional critical flow velocity becomes larger as increasing the annular gap and decreasing the length of cylinder.

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Analytical Methods of Leakage Rate Estimation from a Containment tinder a LOCA (냉각수상실 사고시 격납용기로부터 누출되는 유체유량 추산을 위한 해석적 방법)

  • Moon-Hyun Chun
    • Nuclear Engineering and Technology
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    • v.13 no.3
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    • pp.121-129
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    • 1981
  • Three most outstanding maximum flow rate formulas are identified from many existing models. Outlines of the three limiting mass flow rate models are given along with computational procedures to estimate approximate amount of fission products released from a containment to environment for a given characteristic hole size for containment-isolation failure and containment pressure and temperature under a loss of coolant accident. Sample calculations are performed using the critical ideal gas flow rate model and the Moody's graphs for the maximum two-phase flow rates, and the results are compared with the values obtained from the mass leakage rate formula of CONTEMPT-LT code for converging nozzle and sonic flow. It is shown that the critical ideal gas flow rate formula gives almost comparable results as one can obtain from the Moody's model. It is also found that a more conservative approach to estimate leakage rate from a containment under a LOCA is to use the maximum ideal gas flow rate equation rather than tile mass leakage rate formula of CONTEMPT-LT.

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On the Efficient Three-Dimensional Inversion of Static Shifted MT Data (정적효과를 포함한 자기지전류 자료의 효율적인 3차원 역산에 관하여)

  • Jang, Hannuree;Jang, Hangilro;Kim, Hee Joon
    • Geophysics and Geophysical Exploration
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    • v.17 no.2
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    • pp.95-103
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    • 2014
  • This paper presents a practical inversion method for recovering a three-dimensional (3D) resistivity model and static shifts simultaneously. Although this method is based on a Gauss-Newton approach that requires a sensitivity matrix, the computer time can be greatly reduced by implementing a simple and effective procedure for updating the sensitivity matrix using the Broyden's algorithm. In this research, we examine the approximate inversion procedure and the weighting factor ${\beta}$ for static shifts through inversion experiments using synthetic MT data. In methods using the full sensitivity matrix constructed only once in the iteration process, a procedure using the full sensitivity in the earlier stage is useful to produce the smallest rms data misfit. The choice of ${\beta}$ is not critical below some threshold value. Synthetic examples demonstrate that the method proposed in this paper is effective in reconstructing a 3D resistivity structure from static-shifted MT data.

Reliability model for the probability of system failure of storm sewer (우수관의 불능확률 산정을 위한 신뢰성 모형)

  • Kwon, Hyuk-Jae;Lee, Cheol-Eung;Ahn, Jae-Beom
    • Proceedings of the Korea Water Resources Association Conference
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    • 2010.05a
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    • pp.1691-1695
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    • 2010
  • 본 연구에서 AFDA(Approximate Full Distribution Approach)를 사용하여 하수관의 불능확률을 정량적으로 산정할 수 있는 신뢰성 모형이 개발되었다. 여러 도시의 연 최대강우강도(Yearly Maximum Rainfall Intensity)를 이용하여 그 확률분포함수를 분석하였고 우수관(Storm sewer)의 불능확률 산정을 위한 신뢰성 모형에 적용하였다. 연 최대강우강도 자료의 분석결과 우리나라 중부지방의 여러 중소도시에 대한 연 최대강우강도의 확률분포함수는 Gumbel분포와 일치하는 것으로 나타났다. 신뢰성 모형은 불능확률의 신뢰함수를 구하기 위해 하중(Load)을 규정하는 식은 합리식이 사용되었고 용량(Capacity)를 규정하는 식은 Darcy-Weisbach공식과 Manning의 공식이 사용되었다. 이렇게 개발된 신뢰성 모형을 실제 우수관에 적용하여 불능확률을 산정하는 신뢰성 해석을 수행하였다. Y자형 우수관망에서 2개의 관으로 유입하는 각각의 유량이 그 관의 허용유량을 초과할 경우를 불능확률로 가정하였고, 나머지 관의 경우는 두 개의 관으로부터 유입하는 유량과 그 세 번째 관의 매설지역의 우수유입량의 합이 그 관의 허용유량을 초과할 경우를 불능상태(state of system failure)로 간주하여 불능확률을 정량적으로 산정하였다. Darcy-Weisbach공식과 Manning의 공식을 사용한 신뢰성 해석결과를 비교하였으며 우수관 직경의 변화에 따른 불능확률을 산정하였다. 특정한 수치(설계직경)이하일 경우 불능확률이 급격히 증가하는 것으로 나타났다. 따라서 실제 우수관의 유효직경이 설계직경에 항상 가깝도록 불순물을 제거하는 것이 최선의 관리 방법이며 불능확률을 줄이는 최선의 방법일 것이다. 본 연구에서 개발된 신뢰성 모형은 우수관의 운용, 관리, 감독은 물론 설계에 활용이 가능 할 것이다.

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An Experimental Study on the Seismic Performance of RC Frames with Steel Dampers (강재댐퍼로 보강된 철근콘크리트 골조의 내진성능 실험 연구)

  • Park, Ji-Young
    • Land and Housing Review
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    • v.1 no.1
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    • pp.43-50
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    • 2010
  • In this study, the influences of steel dampers on the behavior of RC frames were investigated using the experimental approach to suggest the installation methods of steel dampers using K-barces. The performances of RC frames with dampers can be evaluated by superposition the load-displacement curves of RC frames and steel dampers with regard to the influences of K-braces. Three specimens are tested to investigate the cyclic behavior of RC frames with dampers. The performances of RC frames with dampers with respect to strength, rigidity, and hysteretic performance are examined. It was found that test results demonstrates the effect of seismic retrofit on RC frames with steel dampers(D-RCF-KBSF, D-RCF-KBSP) compared with RC frames(N-RCF). An approximate design curves may not be good agreement with those of the tests, it is conservative enough so that you can design of RC frames with steel damper with regard to the influences of K-braces.

Televiewer Rock Strength as an Approach to Estimate the Strength of in situ Rocks (텔레뷰어 암석강도 산출 및 그의 응용성)

  • 김중열;김유성;현혜자
    • Proceedings of the Korean Geotechical Society Conference
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    • 2002.03a
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    • pp.237-244
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    • 2002
  • Televiewer is a logging tool capable of scanning the borehole wall. The tool uses a rotating acoustic beam generator that acts as both a transmitter and receiver. The beams are sent toward the wall. The amplitude of a returning signal from the wall has nearly a linear relationship with the reflection coefficient R of the borehole wall, when the wall is smooth. As R depends only on rock impedance for fixed water impedance, the amplitude is directly associated with mass density and seismic velocity of rock. Meanwhile, the amplitude can be further reduced by wall roughness that may be caused by drilling procedures, differences in rock hardness, because the rough surface can easily scatter the acoustic energy and sometimes the hole becomes elongated in all directions according to the degree of weathering. In this sense, the amplitude is related to the hardness of rocks. For convenience of analysis, the measured amplitude image(2-D data(azimuth ${\times}$ depth)) is converted, with an appropriate algorithm, to the 1-D data(depth), where the amplitude image values along a predetermined fracture signature(sinusoid) are summed up and averaged. The resulting values are subsequently scaled simply by a scalar factor that is possibly consistent with a known strength. This scaled Televiewer reflectivity is named, as a matter of convenience,“Televiewer rock strength”. This paper shows, based on abundant representative case studies from about 8 years of Televiewer surveys, that Televiewer rock strength might be regarded, on a continuous basis with depth, as a quitely robust indicator of rock classification and in most cases as an approximate uniaxial strength that is comparable to the rebound value from Schmidt hammer test.

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Tight Bounds and Invertible Average Error Probability Expressions over Composite Fading Channels

  • Wang, Qian;Lin, Hai;Kam, Pooi-Yuen
    • Journal of Communications and Networks
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    • v.18 no.2
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    • pp.182-189
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    • 2016
  • The focus in this paper is on obtaining tight, simple algebraic-form bounds and invertible expressions for the average symbol error probability (ASEP) of M-ary phase shift keying (MPSK) in a class of composite fading channels. We employ the mixture gamma (MG) distribution to approximate the signal-to-noise ratio (SNR) distributions of fading models, which include Nakagami-m, Generalized-K ($K_G$), and Nakagami-lognormal fading as specific examples. Our approach involves using the tight upper and lower bounds that we recently derived on the Gaussian Q-function, which can easily be averaged over the general MG distribution. First, algebraic-form upper bounds are derived on the ASEP of MPSK for M > 2, based on the union upper bound on the symbol error probability (SEP) of MPSK in additive white Gaussian noise (AWGN) given by a single Gaussian Q-function. By comparison with the exact ASEP results obtained by numerical integration, we show that these upper bounds are extremely tight for all SNR values of practical interest. These bounds can be employed as accurate approximations that are invertible for high SNR. For the special case of binary phase shift keying (BPSK) (M = 2), where the exact SEP in the AWGN channel is given as one Gaussian Q-function, upper and lower bounds on the exact ASEP are obtained. The bounds can be made arbitrarily tight by adjusting the parameters in our Gaussian bounds. The average of the upper and lower bounds gives a very accurate approximation of the exact ASEP. Moreover, the arbitrarily accurate approximations for all three of the fading models we consider become invertible for reasonably high SNR.

An Approximate Closed Form Representation of the Microstrip Dyadic Surface Green's Function (Mictrostrip Dyadic 표면 Green 함수의 근사표현식)

  • 최익권
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.4
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    • pp.549-560
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    • 1993
  • A simple closed form approximation is developed by a new approach presented in this paper for the microstrip surface dyadic Green's function which arises in the problem of an electric current point source on an infinite planar grounded dielectric substrate. This closed form approximation includes the effects of the space wave, the surface wave and their coupling within the transition region near the source, and remains accurate as near as $0.1{\pi}_1$ from the source point for a substrate thickness as large as $0.04{\pi}_1$, where, ${\pi}_1$, is the free space wavelength, This result can significantly facilitate the rigorous moment method analysis of microstrip antenna arrays on relatively this substrates of practical interest. Numerical results illustrating the accuracy of the closed form approximation are presented and CPU times associated with some mutual impedance calculations are also included.

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Multi-Criteria Group Decision Making under Imprecise Preference Judgments: Using Fuzzy Logic with Linguistic Quantifier

  • Choi, Duke-Hyun;Ahn, Byeong-Seok;Kim, Soung-Hie
    • Proceedings of the Korea Inteligent Information System Society Conference
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    • 2005.11a
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    • pp.557-567
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    • 2005
  • The increasing complexity of the socio-economic environments makes it less and less possible for single decision-maker to consider all relevant aspects of problem. Therefore are, many organizations employ groups in decision making. In this paper, we present a multiperson decision making method using fuzzy logic with linguistic quantifier when each of group members specifies imprecise judgments possibly both on performance evaluations of alternatives with respect to the multiperson criteria and on the criteria. Inexact or vague preferences have appeared in the decision making literatures with a view to relaxing the burdens of preference specifications imposed to the decision-makers and thus taking into account the vagueness of human judgments. Allowing for the types of imprecise judgments in the model, however, makes more difficult a clear selection of alternative(s) that a group wants to make. So, further interactions with the decision-makers may proceed to the extent to compensate for the initial comforts of preference specifications. These interaction may not however guarantee the selection of the best alternative to implement. To circumvent this deadlock situation, we present a procedure for obtaining a satisfying solution by the use of linguistic quantifier guided aggregation which implies fuzzy majority. This is an approach to combine a prescriptive decision method via a mathematical programming and a well-established approximate solution method to aggregate multiple objects.

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A Study on the Estimation of Homogeneous Physical Properties of Molten Carbonate Fuel Cell Stacks (용융탄산염형 연료전지 스택의 균질 물성치 추정에 관한 연구)

  • Lee, Sang-Wook;Suh, Yong-S.
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.12 no.7
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    • pp.2939-2944
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    • 2011
  • The performance and efficiency of a Molten Carbonate Fuel Cell system will improve with the aids of numerical simulations such as finite element analysis. For best simulation results, the virtual model must accurately reflect the actual model including the material properties. It is very difficult, however, to make a detailed numerical model of the stack that consists of hundreds of layers of unit cells composed of various materials like metal, ceramics, polymer, etc. Instead, a practical approach is to find a homogenized material property of the stack as a whole as an approximate replacement. In this paper, the compression ratio of a unit cell is introduced, and a new method is proposed to estimate the homogeneous material properties for both the active and the manifold regions of the stack under the assumption that the compressive deformation occurs only at the separators and matrices in the unit cells. The estimated properties are applied successfully to simulating an actual stack.