• KSII Transactions on Internet and Information Systems (TIIS)
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• 제15권12호
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• pp.4567-4583
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• 2021

This study proposes an analytical approximation algorithm based on extreme value theory (EVT) for the inverse of the power of the incomplete Gamma function. First, the Gumbel function is used to approximate the power of the incomplete Gamma function, and the corresponding inverse problem is transformed into the inversion of an exponential function. Then, using the tail equivalence theorem, the normalized coefficient of the general Weibull distribution function is employed to replace the normalized coefficient of the random variable following a Gamma distribution, and the approximate closed form solution is obtained. The effects of equation parameters on the algorithm performance are evaluated through simulation analysis under various conditions, and the performance of this algorithm is compared to those of the Newton iterative algorithm and other existing approximate analytical algorithms. The proposed algorithm exhibits good approximation performance under appropriate parameter settings. Finally, the performance of this method is evaluated by calculating the thresholds of space-time block coding and space-frequency block coding pattern recognition in multiple-input and multiple-output orthogonal frequency division multiplexing. The analytical approximation method can be applied to other related situations involving the maximum statistics of independent and identically distributed random variables following Gamma distributions.

• 한국해안해양공학회지
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• 제10권4호
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• pp.165-173
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• 1998

파고와 주기 그리고 수심의 함수로 정의된 이류계수를 파고와 주기에 대한 결합분포함수와 확률적으로 결합하여 수중둔덕의 이동율을 예측할 수 있는 해석해를 유도하였다. 파랑의 비선형성에 의하여 유발되는 하상에서의 흐름이 표사의 이동을 유발한다는 가정하에 개념적 모형의 표사이동량 방정식을 사용하였다. 표사보존식에 표사이동량을 대입하여 시간에 따른 해저면의 변동을 나타내는 비선형 이류-확산 방정식을 얻을 수 있었다. 해석해에 의하면 수심이 증가할 수록 수중둔덕의 이동율은 지수적으로 감소하는 경향을 보였다. 그러나 스펙트럼에서 주파수 영역의 폭을 정의하는 계수, v의 값이 커지면 수중둔덕의 이동율은 증가하였다. 해석해에 의하여 예측된 수중둔덕의 이동율은 관측자료보다 과대평가하는 경향을 나타내나, 해석해를 유도하는 과정에 내포된 이론식의 제약성 및 입력자료의 부정확성 등을 고려할 때 전반적으로 해석해의 결과는 관측자료와 잘\ulcorner 일치한다고 볼 수 있다. 특히, 수심의 변화에 따른 해석해의 거동은 대상영역 외해에서 추정된 자료를 이용하여 이산화 기법으로 추정된 결과와 매우 잘 일치하였다.

• 분석과학
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• 제23권1호
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• pp.74-82
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• 2010

휴대형 형광 분석기의 개발을 위한 사전 기초연구로서 탁상형 및 휴대형 X-선 형광분석기를 이용하여 플라스틱 중의 Cd, Pb, Hg, Cr (IV), polybrominated biphenyls (PBB) 및 polybrominated diphenyl ethers (PBDE)의 RoHS 규제 물질에 대하여 비교 분석하였다. 규제 물질이 0~1,200 mg/kg의 농도로 함유된 폴리에틸렌 및 폴리프로필렌 인증표준물질을 사용하여 측정시간에 따른 최적의 분석 조건을 확립하고, 각 규제 물질의 검량곡선을 작성하였다. 플라스틱 인증표준물질과 시료 중의 Pb, Hg, Cd, 총 Cr 및 총 Br 함량을 탁상형 X-선 형광분석기의 empirical (EM) 법 및 fundamental parameter (FP) 법으로 정량분석하고 그 결과를 휴대형 X-선 형광분석기와 비교 하였다.

• Geomechanics and Engineering
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• 제30권1호
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• pp.11-26
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• 2022

One of the most important issues in tunneling, is the squeezing phenomenon. Squeezing can occur during excavation or after the construction of tunnels, which in both cases could lead to significant damages. Therefore, it is important to predict the squeezing and consider it in the early design stage of tunnel construction. Different empirical, semi-empirical and theoretical-analytical methods have been presented to determine the squeezing. Therefore, it is necessary to examine the ability of each of these methods and identify the best method among them. In this study, squeezing in a part of the Alborz service tunnel in Iran was estimated through a number of empirical, semi- empirical and theoretical-analytical methods. Among these methods, the most robust model was used to obtain a database including 300 data for training and 33 data for testing in order to develop a machine learning (ML) method. To this end, three ML models of Gaussian process regression (GPR), artificial neural network (ANN) and support vector regression (SVR) were trained and tested to propose a robust model to predict the squeezing phenomenon. A comparative analysis between the conventional and the ML methods utilized in this study showed that, the GPR model is the most robust model in the prediction of squeezing phenomenon. The sensitivity analysis of the input parameters using the mutual information test (MIT) method showed that, the most sensitive parameter on the squeezing phenomenon is the tangential strain (ε_θ^α) parameter with a sensitivity score of 2.18. Finally, the GPR model was recommended to predict the squeezing phenomenon in tunneling projects. This work's significance is that it can provide a good estimation of the squeezing phenomenon in tunneling projects, based on which geotechnical engineers can take the necessary actions to deal with it in the pre-construction designs.

• 분석과학
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• 제22권4호
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• pp.293-301
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• 2009

휴대용 형광 분석기의 개발을 위한 사전 기초연구로서 bench-top ED-XRF 및 휴대용 XRF를 이용하여 토양 시료 중의 Cr, As, Se, Hg, Pb, Cd 등 6종의 유해금속 성분들을 비교 분석하였다. 유해금속 원소를 0~1500 mg/kg 농도 범위로 오염시킨 토양 인증표준물질을 구입하여 XRF 분석의 중요 인자인 X-선 튜브 전압 및 측정 시간 등에 따른 최적 분석조건을 확립하고, 각각의 유해 중금속에 대한 검량선을 작성하였다. 유해금속 원소가 포함된 토양 인증표준물질 외에 7종의 다른 토양 시료 중의 유해금속 원소에 대해서도 empirical 법 및 fundamental parameter 법으로 정량분석하고 그 결과를 비교 분석하였다.

• 대한화학회지
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• 제29권3호
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• pp.265-270
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• 1985

희석 파라미터법을 이용한 X-선 형광분광법으로 주석슬랙중 Ta$_2$O$_5$, Nb$_2$O$_5$, SnO$_2$ 및 ZrO$_2$를 정량하였으며 그들의 분석결과를 표준검정곡선법으로 얻은 결과들과 비교하였다. 주석슬랙 시료와 주석슬랙과 비슷한 조성을 갖는 한개의 표준시료를 적당한 희석제(La$_2$O$_3$)로 1 : 1, 1 : 2, 1 : 3, 1 : 4로 각각 희석하였다. 원시료와 희석된 시료의 X-선 세기를 측정하여 희석 파라미터항이 포함된 계산식을 이용하여 함량을 계산하였다. 그 결과 분석값은 표준검정곡선법에 의한 기준값들과 잘 일치하고 있음을 확인하였다.

• Geomechanics and Engineering
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• 제22권5호
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• pp.415-431
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• 2020

In this study, dynamics responses of advanced composite plates resting variable elastic foundations via a quasi-3D theory are developed using an analytical approach. This higher shear deformation theory (HSDT) is included the shear deformation theory and effect stretching that has five unknowns, which is even inferior to normal deformation theories found literature and other theories. The quasi-three-dimensional (quasi-3D) theory accounts for a parabolic distribution of the transverse shear deformation and satisfies the zero traction boundary conditions on the surfaces of the advanced composite plate without needing shear correction factors. The plates assumed to be rest on two-parameter elastic foundations, the Winkler parameter is supposed to be constant but the Pasternak parameter varies along the long side of the plate with three distributions (linear, parabolic and sinusoidal). The material properties of the advanced composite plates gradually vary through the thickness according to two distribution models (power law and Mori-Tanaka). Governing differential equations and associated boundary conditions for dynamics responses of the advanced composite plates are derived using the Hamilton principle and are solved by using an analytical solution of Navier's technique. The present results and validations of our modal with literature are presented that permitted to demonstrate the accuracy of the present quasi-3D theory to predict the effect of variables elastic foundation on dynamics responses of advanced composite plates.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제8권3호
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• pp.997-1010
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• 2014

Today, as the hierarchical cellular system is getting more attention than before, some recent studies introduce delay based admission control (AC) scheme which delays the admission to the macro-embedded small cell for a relatively short time to prevent unnecessary handover caused by the short-term visitors of the small cell area. In such delay based ACs, when we use improper delay parameter, the system frequently makes incorrect handover decisions such as where unnecessary handover is allowed due to too short delaying, or where necessary handover is denied due to too long delaying. In order to avoid these undesirable situations as much as possible, we develop a new delay parameter decision method based on probabilistic cell residence time approximations. By the extensive numerical and analytical evaluations, we determine the proper delay parameter which prevents the incorrect handover decision as much as possible. We expect our delay parameter decision method can be useful system administration tips in hierarchical cellular system where delay based AC is adopted.

• Structural Engineering and Mechanics
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• 제53권3호
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• pp.443-453
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• 2015

Cable-beam structures characterized by variable stiffness nonlinearities are widely found in various structural engineering applications, for example in space deployable structures. Space deployable structures in orbit experience both high temperature caused by sun's radiation and low temperature by Earth's umbral shadow. The space temperature difference is above 300K at the moment of exiting or entering Earth's umbral shadow, which results in structural thermally induced vibration. To understand the thermally induced oscillations, the analytical expression of Boley parameter of cable-beam structures is firstly deduced. Then, the thermally induced vibration of cable-beam structures is analyzed using finite element method to verify the effectiveness of Boley parameter. Finally, by analyzing the obtained numerical results and the corresponding Boley parameters, it can be concluded that the derived expression of Boley parameter is valid to evaluate the occurrence conditions of thermally induced vibration of cable-beam structures and the key parameters influencing structural thermal flutter are the cable stiffness and thickness of beams.

• Structural Engineering and Mechanics
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• 제66권2호
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• pp.237-248
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• 2018

This study presents the investigation of wave dispersion characteristics of a magneto-electro-elastic functionally graded (MEE-FG) nanosize beam utilizing nonlocal strain gradient theory (NSGT). In this theory, a material length scale parameter is propounded to show the influence of strain gradient stress field, and likewise, a nonlocal parameter is nominated to emphasize on the importance of elastic stress field effects. The material properties of heterogeneous nanobeam are supposed to vary smoothly through the thickness direction based on power-law form. Applying Hamilton's principle, the nonlocal governing equations of MEE-FG nanobeam are derived. Furthermore, to derive the wave frequency, phase velocity and escape frequency of MEE-FG nanobeam, an analytical solution is employed. The validation procedure is performed by comparing the results of present model with results exhibited by previous papers. Results are rendered in the framework of an exact parametric study by changing various parameters such as wave number, nonlocal parameter, length scale parameter, gradient index, magnetic potential and electric voltage to show their influence on the wave frequency, phase velocity and escape frequency of MEE-FG nanobeams.