• Title/Summary/Keyword: Exponential function

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Analysis of the TE Scattering by a Resistive Strip Grating Over a Grounded Dielectric Plane (접지된 유전체 평면위의 저항띠 격자구조에 의한 TE 산란 해석)

  • Yoon, Uei-Joong
    • Journal of Advanced Navigation Technology
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    • v.10 no.3
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    • pp.198-204
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    • 2006
  • In this paper, TE(transverse electric) scattering problems by a resistive strip grating on a grounded dielectric plane according to the strip width and grating period, the relative permittivity and thickness of dielectric layer, and incident angles of a TE plane wave are analyzed by applying the FGMM(Fourier-Galerkin Moment Method) known as a numerical procedure. The induced surface current density is simply expanded in a Fourier series by using the exponential function as a simple function. The reflected power gets increased according as the relative permittivity and thickness of dielectric multilayers gets increased, the sharp variations of the reflected power are due to resonance effects were previously called wood's anomallies[7]. To verify the validity of the proposed method, the numerical results of normalized reflected power for the uniform resistivity R = 0 as a conductive strip case show in good agreement with those in the existing paper.

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Development and Application of ROADMOD for Analysis of Non-point Source Pollutions from Road: Analysis of Removal Efficiency of Sediment in Road by Sweeping (도로 비점오염 해석을 위한 ROADMOD개발 및 적용: 도로청소 효과 분석)

  • Kang, Heeman;Jeon, Ji-Hong
    • Journal of Korean Society on Water Environment
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    • v.37 no.2
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    • pp.103-113
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    • 2021
  • In this study, an Excel-based model (ROADMOD) was developed to estimate pollutant loading from the road and evaluate BMPs. ROADMOD employs the Chezy-Manning equation and empirical expression for estimating surface runoff, and power function for pollutant buildup, and exponential function for pollutant washoff in SWMM. The results of model calibration for buildup and washoff using observed data revealed a good match between the simulation results and the observed data. The long-term surface runoff and sediment simulated by ROADMOD demonstrated a good match with those by SWMM with 2 ~ 14% of relative error. The shorter sweeping interval (within 8 days) remarkably decreased sediment loads from the road. It was found that the effect of reducing sediment loads from the road was greatly affected not only by the sweeping interval but also by sweeping on the day before a rainfall event. The 48% of removal efficiency of sediment loads from the road was achieved with 26 times of road sweeping per year when sweeping was performed on the day before the rainfall event. A 4-day sweeping interval showed similar removal efficiency (48%) with 96 times of sweeping per year. It is considered that the road sweeping on the day before a rainfall event could maximize the effect of reducing the non-point source pollution from the road with minimization of the number of road sweeping. So, the road sweeping on the day before a rainfall event can be considered as one of the useful and best management practices (BMPs) on road.

The study on Lightness and Performance Improvement of Universal Code (BL-beta code) for Real-time Compressed Data Transferring in IoT Device (IoT 장비에 있어서 실시간 데이터 압축 전송을 위한 BL-beta 유니버설 코드의 경량화, 고속화 연구)

  • Jung-Hoon, Kim
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.15 no.6
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    • pp.492-505
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    • 2022
  • This study is a study on the results of improving the logic to effectively transmit and decode compressed data in real time by improving the encoding and decoding performance of BL-beta codes that can be used for lossless real-time transmission of IoT sensing data. The encoding process of BL-beta code includes log function, exponential function, division and square root operation, etc., which have relatively high computational burden. To improve them, using bit operation, binary number pattern analysis, and initial value setting of Newton-Raphson method using bit pattern, a new regularity that can quickly encode and decode data into BL-beta code was discovered, and by applying this, the encoding speed of the algorithm was improved by an average of 24.8% and the decoding speed by an average of 5.3% compared to previous study.

Experimental evaluation of back-to-back anchored walls by double-plates anchors

  • Amir, Najafizadeh;AmirAli, Zad
    • Geomechanics and Engineering
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    • v.31 no.6
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    • pp.599-614
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    • 2022
  • One of the methods of stabilizing retaining walls, embankments, and deep excavations is the implementation of plate anchors (like the Geolock wall anchor systems). Back-to-back Mechanically Stabilized Earth (BBMSE) walls are common stabilized earth structures that can be used for bridge ramps. But so far, the analysis of the interactive behavior of two back-to-back anchored walls (BBAW) by double-plates anchors (constructed closely from each other and subjected to the limited-breadth vertical loading) including interference of their failure and sliding surfaces has not been the subject of comprehensive studies. Indeed, in this compound system, the interaction of sliding wedges of these two back-to-back walls considering the shear failure wedge of the foundation, significantly impresses on the foundation bearing capacity, adjacent walls displacements and deformations, and their stability. In this study, the effect of horizontal distance between two walls (W), breadth of loading plate (B), and position of vertical loading was investigated experimentally. In addition, the comparison of using single and equivalent double-plate anchors was evaluated. The loading plate bearing capacity and displacements, and deformations of BBAW were measured and the results are presented. To evaluate the shape, form, and how the critical failure surfaces of the soil behind the walls and beneath the foundation intersect with one another, the Particle Image Velocimetry (PIV) technique was applied. The experimental tests results showed that in this composite system (two adjacent-loaded BBAW) the effective distance of walls is about W = 2.5*H (H: height of walls) and the foundation effective breadth is about B = H, concerning foundation bearing capacity, walls horizontal displacements and their deformations. For more amounts of W and B, the foundation and walls can be designed and analyzed individually. Besides, in this compound system, the foundation bearing capacity is an exponential function of the System Geometry Variable (SGV) whereas walls displacements are a quadratic function of it. Finally, as an important achievement, doubling the plates of anchors can facilitate using concrete walls, which have limitations in tolerating curvature.

Strengthening of prestressed girder-deck system with partially debonding strand by the use of CFRP or steel plates: Analytical investigation

  • Haoran Ni;Riliang Li;Riyad S. Aboutaha
    • Computers and Concrete
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    • v.31 no.4
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    • pp.349-358
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    • 2023
  • This paper describes an in-depth analysis on flexural strength of a girder-deck system experiencing a strand debonding damage with various strengthening systems, based on finite element software ABAQUS. A detailed finite element analysis (FEA) model was developed and verified against the relevant experimental data performed by other researchers. The proposed analytical model showed a good agreement with experimental data. Based on the verified FE model, over a hundred girder-deck systems were investigated with the consideration of following variables: 1) debonding level, 2) span-to-depth ratio (L/d), 3) strengthening type, 4) strengthening material thickness. Based on the data above, a new detailed analytical model was developed and proposed for estimating residual flexural strength of the strand-debonding damaged girder-deck system with strengthening systems. It was demonstrated that both finite element model and analysis model could be used to predict flexural behaviors for debonding damaged prestressed girder-deck systems. Since the strands are debonding from surrounding concrete over a certain zone over the length of the beam, the increase of strain in strands can be linked with a ratio ψ, which is Lp/c. The analytical model was proposed and developed regarding the ratio ψ. By conducting procedure of calculating ψ, the ψ value varies from 9.3 to 70.1. Multiple nonlinear regression analysis was performed in Software IBM SPSS Statistics 27.0.1 to derive equation of ψ. ψ equation was curved to be an exponential function, and the independent variable (X) is a linear function in terms of three variables of debonding level (λ), span length (L), and amount of strengthening material (As). The coefficient of determinate (R2) for curve fitting in nonlinear regression analysis is 0.8768. The developed analytical model was compared to the ultimate capacities computed by FEA model.

The prediction of deformation according to tunnel excavation in weathered granite (화강 풍화암지반의 터널굴착에 따른 변형예측)

  • Cha, Bong-Geun;Kim, Young-Su;Kwo, Tae-Soon;Kim, Sung-Ho
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.12 no.4
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    • pp.329-340
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    • 2010
  • Mechanical behavior of underground cavity construction such as tunnel is very difficult to estimate due to complexity and uncertainty of ground. Prediction of behavior according to excavation of tunnel mainly uses method utilized of model test or numerical analysis. But scale model test is difficult to reappear field condition, numerical analysis is also very hard to seek choice of suitable constituent model and input data. To solve this problem, this paper forecasted the deformation of tunnel that applied to information of crown settlement and convergence, RMR in weathered granite by using the regression analysis. The result of the analysis shows that the crown settlement according to excavation occurs approximately 70~80% of total displacements within about 20 days. As a result of the prediction of crown settlement and convergence, an exponential function becomes more accurate at measurements than an algebraic function. Also this paper got a correlation in comparison of RMR and displacements of 6 sections.

A review on estimation and comparison of rainfall kinetic energy using disdrometer: a case study of Sangju (광학우적계를 활용한 강우 운동에너지 산정 및 비교에 관한 연구: 상주지역을 중심으로)

  • Yeon, Min Ho;Van, Linh Nguyen;Song, Min Geun;Lee, Gi Ha
    • Proceedings of the Korea Water Resources Association Conference
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    • 2022.05a
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    • pp.129-129
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    • 2022
  • 국내에서 발생하는 토양침식(soil erosion)은 주로 강우에 의해 발생하며, 이로 인해 농경지 유실, 탁수 발생, 하천 통수능 저하 등 여러 수문학적·환경적 문제가 발생한다. 따라서 유역 내 토양침식 위험지역을 선별하고, 해당 지역의 토양유실 및 유사의 발생량을 산정하는 것은 토양보전 대책 수립 시에 중요한 지표로 활용된다. 침식-유사유출의 물리적 과정은 크게 '강우에 의한 토양 분리(detachment by raindrop)'와 '지표류에 의한 토양 분리(detachment by overlandflow)'로 나눌 수 있으며, 그중 강우에 의한 토양 분리는 수침식(water erosion)의 첫 번째 과정 중 하나로 강우 시 낙하하는 강우 입자들이 갖는 운동에너지가 지표면을 타격할 때 토양체로부터 토양입자가 분리되는 과정이다. 따라서 강우에 의한 토양분리량 산정을 위해서는 강우 운동에너지(rainfall kinetic energy, KE)의 정확한 계산이 요구된다. 그러나 기후 및 지리적 특성 등 여러 조건에 따라 강우 운동에너지는 지역마다 다르게 나타나며, 이로 인해 강우 운동에너지 추정이 매우 어려운 실정이다. 따라서 강우 운동에너지 추정은 주로 강우강도(rainfall intensity, I)와의 관계를 이용한 함수식을 활용한다. 본 연구에서는 대상 지역인 상주지역에 광학우적계(disdrometer)를 설치하여 2020년 6월부터 2021년 12월까지 관측된 37개의 강우 사상에 대하여 KE-I의 관계를 분석하고, 이를 통해 강우 운동에너지식을 도출하였다. 또한, 기존에 국외 및 국내에서 제시된 선형(linear), 멱함수(power-law function), 지수함수(exponential function) 형태의 강우 운동에너지 공식과 본 연구에서 산정된 KE를 비교하였다. 그 결과 비체적 강우 운동에너지에서 Sanchez-Moreno et al. (2012)가 제안한 멱함수 형태의 공식이, 비시간 강우 운동에너지에서 Kinnel (1981)이 제안한 지수함수 형태의 공식이 각각 강우 운동에너지 추정에 통계적으로 유의한 것으로 나타났다.

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The Study of Trnascriptional Regulated Gene, $hrp^{2+}$, in Yeast

  • Choi, In-Soon
    • Journal of Life Science
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    • v.11 no.2
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    • pp.111-115
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    • 2001
  • This study was designed to clone the SNF2/SW12 helicase-related genes from the fission yeast Schizosaccha-romyces pombe and thereafter to elucidate the common functions of the proteins in this family. The $hrp^{2+}$gene was cloned by polymerase chain reaction amplification using degenerative primers from conserved SNF2 motifs within the ERCC6 gene, which encodes a protein involved in DNA excision repair. Like other SNF2/SW12 family proteins, the deduced amino acid sequence of Hrp2 contains DNA-dependent ATPase/7 helicase domains as well as the chromodomain and the DNA binding domain. This configuration is similar to that of mCHD1 (mouse chromo-ATPase/helicase-DNA-dinding protein 1), suggesting that Hrp2 is a S. pombe homolog of mCHD1, which is thought to function in altering the chromatin structure to control the gene expression. To characterize the function of Hrp2, 4 Uracil-Hrp2 fusion protein, it was purified near homogeneity by affinity chromatography on $Ni^{2+}$-NTA agarose, DEAE-Sepharose ion exchange arid Sephacryl S-200 gel filtration chromatographies. The purified fusion protein exhibited DNA-dependent ATPase activity, which was stimulated by both double-stranded and single-stranded DNA. To determine the steady-state level of $hrp^{2+}$ transcripts during growth, cells were cultured in medium and collected at every 2hr to prepare total RNAs. The northern blot analysis showed that the level of $hrp^{2+}$ transcripts reached its maximum before the cells entered the exponential growth phase and then decreased gradually, This result implies that Hrp2 may be required at early stages of cell growth.h.

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Development of a back analysis program for reasonable derivation of tunnel design parameters (합리적인 터널설계정수 산정을 위한 역해석 프로그램 개발)

  • Kim, Young-Joon;Lee, Yong-Joo
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.15 no.3
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    • pp.357-373
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    • 2013
  • In this paper, a back analysis program for analyzing the behavior of tunnel-ground system and evaluating the material properties and tunnel design parameters was developed. This program was designed to be able to implement the back analysis of underground structure by combination of using FLAC and optimized algorithm as direct method. In particular, Rosenbrock method which is able to do direct search without obtaining differential coefficient was adopted for the back analysis algorithm among optimization methods. This back analysis program was applied to the site to evaluate the design parameters. The back analysis was carried out using field measurement results from 5 sites. In the course of back analysis, nonlinear regression analysis was carried out to identify the optimum function of the measured ground displacement. Exponential function and fractional function were used for the regression analysis and total displacement calculated by optimum function was used as the back analysis input data. As a result, displacement recalculated through the back analysis using measured displacement of the structure showed 4.5% of error factor comparing to the measured data. Hence, the program developed in this study proved to be effectively applicable to tunnel analysis.

Developing Merchantable Stem Volume Models for Major Commercial Species in South Korea (우리나라 주요 경제수종의 이용재적모델 개발)

  • Lee, Daesung;Lee, Jungho;Seo, Yeongwan;Choi, Jungkee
    • Journal of Korean Society of Forest Science
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    • v.106 no.4
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    • pp.480-486
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    • 2017
  • This study was conducted to develop the merchantable stem volume models to predict the volume up to upper diameter or upper height out of the total stem volume, targeting on Pinus densiflora, Pinus koraiensis, and Larix kaempferi in South Korea. The 131 stemmed sample trees for stem analysis were used as the data for developing the models. The six kinds of merchantable volume equations including merchantable volume ratio form, ratio form, and exponential ratio form were examined to develop the best models. The two models were finally selected as the best models to predict the merchantable volume: $V_d=V_t\{{\exp}[{\alpha}_1(d^{{\alpha}_2}/D^{{\alpha}_3})]\}$ for upper diameter and $V_h=V_t\{1+{\beta}_1(P^{{\beta}_2}/H^{{\beta}_3})\}$ for upper height. By rearranging the best model equations, implicit taper functions were derived, and the estimation was performed for the upper height by upper diameter and upper diameter by upper height. Because of not only the high accuracy but also the convenience, the models developed in this study were considered to be easily applicable in the field of forestry.