• Title/Summary/Keyword: 비선형 관계식

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Flood stage analysis considering the uncertainty of roughness coefficients and discharge for Cheongmicheon watershed (조도계수와 유량의 불확실성을 고려한 청미천 유역의 홍수위 해석)

  • Shin, Sat-Byeol;Park, Jihoon;Song, Jung-Hun;Kang, Moon Seong
    • Journal of Korea Water Resources Association
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    • v.50 no.10
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    • pp.661-671
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    • 2017
  • The objective of this study was to analyze the flood stage considering the uncertainty caused by the river roughness coefficients and discharge. The methodology of this study involved the GLUE (Generalized Likelihood Uncertainty Estimation) to quantify the uncertainty bounds applying three different storm events. The uncertainty range of the roughness was 0.025~0.040. In case of discharge, the uncertainty stemmed from parameters in stage-discharge rating curve, if h represents stage for discharge Q, which can be written as $Q=A(h-B)^C$. Parameters in rating curve (A, B and C) were estimated by non-linear regression model and assumed by t distribution. The range of parameters in rating curve was 5.138~18.442 for A, -0.524~0.104 for B and 2.427~2.924 for C. By sampling 10,000 parameter sets, Monte Carlo simulations were performed. The simulated stage value was represented by 95% confidence interval. In storm event 1~3, the average bound was 0.39 m, 0.83 m and 0.96 m, respectively. The peak bound was 0.52 m, 1.36 m and 1.75 m, respectively. The recurrence year of each storm event applying the frequency analysis was 1-year, 10-year and 25-year, respectively.

Steady Shear Flow and Dynamic Viscoelastic Properties of Semi-Solid Food Materials (반고형 식품류의 정상유동특성 및 동적 점탄성)

  • 송기원;장갑식
    • The Korean Journal of Rheology
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    • v.11 no.2
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    • pp.143-152
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    • 1999
  • Using a Rheometrics Fluids Spectrometer(RFS II), the steady shear flow and the small-amplitude dynamic viscoelastic properties of three kinds of semi-solid food materials(mayonnaise, tomato ketchup, and wasabi) have been measured over a wide range of shear rates and angular frequencies. The shear rate dependence of steady flow behavior and the angular frequency dependence of dynamic viscoelastic behavior were reported from the experimentally measured data. In addition, some viscoplastic flow models with a yield stress term were employed to make a quantitative evaluation of the steady flow behavior, and the applicability of these models was also examined in detail. Furthermore, the correlations between steady shear flow(nonlinear behavior) and dynamic viscoelastic(linear behavior)properties were discussed using the modified power-law flow equations. Main results obtained from this study can be summarized as follows : (1) Semi-solid food materials are regarded as viscoplastic fluids having a finite magnitude of yield stress, and their flow behavior shows shear-thinning characteristics, exhibiting a decrease in steady flow viscosity with increasing shear rate. (2) The Herschel-Bulkley, Mizrahi-Berk, and Heinz-Casson models are all applicable to describe the steady flow behavior of semi-solid food materials. Among these models, the Heinz-Casson model has the best validity. (3) Semi-solid food materials show a stronger shear-thinning behavior at shear rate region higher than a critical shear rate where a more progressive structure breakdown takes place. (4) Both the storage and loss moduli are increased with increasing angular frequency, but they have a slight dependence on angular frequency. The elastic behavior is dominant to the viscous behavior over a wide range of angular frequencies. (5) All of the steady flow, dynamic, and complex viscosities are well satisfied with the power-law model behavior. The relationships between steady shear flow and dynamic viscoelastic properties can well be described by the modified forms of the power-law flow equations.

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An Experimental Study on the Modelling for the Prediction of the Behaviour of EPS (EPS의 거동 예측 모델에 관한 실험적 연구)

  • 천병식;임해식
    • Geotechnical Engineering
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    • v.12 no.5
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    • pp.127-136
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    • 1996
  • Recently, EPS which has unit weight of only 20~30kg/m3, is used for acquiring the safety of settlement and bearing capacity, In Korea, EPS was first used in 1993 as backfill material for abutment that was constructed on soft ground in Inchon. Since then EPS has been used increasingly as backfill material. However, adequate modelling has not yet been proposed for the prediction of the behavior of EPS. Only it's design strength was proposed as the results of unconfined strength and creep test. Accordingly this paper executed triaxial compression test on EPS with various density and confining pressure. Through the analysis of test data the behavior of EPS for strainstress, tangential modulus and poisson's ratio can be expressed in functions with parameters of density and confining pressure of EPS. From these results, this paper proposed a nonliner model describing the behavior of EPS.

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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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Model Testing on the Behavior of Laterally Loaded Pile in NC Clay Soils (정규압밀 점토 지반에서 매입말뚝의 수평거동에 관한 모형 실험 연구)

  • Kim, Byeong-Tak;Lee, Sang-Ung;Kim, Yeong-Su
    • Geotechnical Engineering
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    • v.14 no.5
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    • pp.39-52
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    • 1998
  • The pupose of the present paper is to estimate the effects of constraint condition of pile head, ground condition(dry unit weight. $\gamma_4$) and embedded pile lengths on the behavior of single pile which is embedded in normally consolidated clay. BBperiment functions can be quantified to these effects obtained from the results of model teats. The ground of model tests is normally consolidated( NC ) clay under three kinds of effective vertical stress. The results of the model tests using the steel pile of two different embedded pile length and of free-head and fired-head show that the lateral load-deflection relationship is to be elasto plastic behavior below $\gamma_d/\gamma_{dmax}$: 0.84 and that the reduction of lateral load of beyond maximum lateral load($Q_{max}$) at each model test is significantly time-dependent. In this study, it is shown that the displacement relationship can be fitted to exponential function of time by model best results. The effect of ground conditions on the ultimate and yield lateral load is fitted to exponential function including the ratio of dry unit weight to maximum dry unit weight. When tests by results are compared with those from Broms and Budhu et at., the predicted results are over-estimated about 27-87 ayo. In effectivity of constraint condition of pile head on the lateral load-deflection response, the $Q_{fixed}/Q_{gree}-y/D$ relationship is highly non-linear and fitted to parabolic function.

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A Study on the Assessment of Damage in Pin-Ended Tubular Members (양단 핀접합 강관부재의 손상 평가에 관한 연구)

  • Kim, Woo Bum
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.3
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    • pp.415-428
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    • 1994
  • The purpose of this research is to establish the load-shortening relationship for undamaged members and damaged members with pin-ended support. An analytical method based on the numerical integration was proposed to obtain the ascending and descending branch of load-deformation behavior. The analysis was performed by using the momentthrust-curvature relationship including the effect of cross-sectional distortion. A parametric study regarding the the influence of damages on the ultimate strength of tubular members was also performed. Several experiments for the corroded, fabricated tubular members with dent were performed and the results were compared with the proposed method.

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1.5T 자기공명영상기기에서 수소 자기공명분광법을 이용한 모델용액 내 포도당의 정량분석 및 임상적용 가능성에 대한 연구

  • 이경희;이정희;조순구;김용성;김형진;서창해
    • Proceedings of the KSMRM Conference
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    • 2001.11a
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    • pp.173-173
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    • 2001
  • 목적: 1.5T 생체용 자기공명영상기기를 이용한 수소자기공명분광법으로 용액 내 물질의 정량분석에 대한 가능성을 알아보고자 하였다. 대상 및 방법: 0.01%에서 50%까지의 여러 농도를 갖는 포도당+증류수 혼합액의 모델용액을 만들어 생체용 자기공명영상기기와 시험관 nuclear magnetic resonance (NMR) 분광기에서 각각 수소 자기공명분광법을 시행하여 스펙트럼을 얻었다. 또한 12명의 당뇨환자에서 방광내의 소변에 대해 생체용 자기공명영상기기에서 스펙트럼을 얻고 소변을 추출하여 시험관 NMR 분광기에서 수소자기공명분광법을 시행하였다 각각의 방법으로 얻은 스펙트럼 상에서 포도당 농도에 따른 포도당/물 피크의 면적 비의 변화를 구하였고, 통계처리는 상관분석과 단순선형회귀분석을 시행하였고 회귀식을 산출하였다. 또한 생체용 자기공명영상기기를 이용하여 얻은 결과가 객관적인지 알아보기 위해 시험관 NMR 분광기에서 얻은 결과와의 상관관계를 분석하였다.

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Development of Sag and Tension Sensitivity Estimation Method for Configuration Control under PPWS Erection in a Suspension Bridge (현수교 PPWS 가설중 형상관리를 위한 PPWS 새그 및 장력민감도 산정법 개발)

  • Jeong, Woon;Seo, Ju Won;Lee, Won Pyo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.32 no.5A
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    • pp.255-266
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    • 2012
  • Main cable of a suspension bridge is the important member which shows the overall structure integrity at bridge completion. Configuration of main cable is a free hanging state at cable erection completion and is different from that at bridge completion supporting the dead loads such as hanger, girder, and so on. Accordingly, the configuration control under cable erection is considerably significant because the configuration at cable erection completion has direct influence on that at bridge completion. That is performed by sag adjustments at center, side span and tension adjustments at anchor span. The former needs the sag sensitivity which represents the control quantity of strand length corresponding to that of sag. The latter requires the tension sensitivity which shows the change of strand tension according to that of strand temperature. In this study, the fundamental equations of cable were derived with the assumption of either catenary or parabola shape, the differential-related equations using chain rule on horizontal tension were drawn from those and finally the estimation methods of the sag / tension sensitivity were proposed from both those. The nonlinear numerical analysis flow charts of sag sensitivity based on the catenary equations were proposed and the sag sensitivities grounded on the differential-related equations were compared with the results using them for various parameters of sag change. Also, considering the combinations of sag change parameters, the calculation method of the final variation for the cable sag was suggested. For the real suspension bridge under construction with PPWS method, the sag/tension sensitivity were estimated considering the construction conditions like the change of PPWS length, PPWS temperature, bridge span, etc.. We hope that this study will be a systematic guideline for the configuration control under main cable erection and improved highly by field verification in the real bridge site.

Evaluation of Post-Buckling Residual Strength of H-Section Steel Column for Both Ends are Fixed Condition (양단고정 단부구속에 따른 H 형 강재기둥의 좌굴 후 잔존내력 평가)

  • Abebe, Daniel Yeshewawork;Choi, Jae Hyouk;Kim, Jin Hyang
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.1
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    • pp.83-88
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    • 2013
  • Progressive collapse is a chain reaction of failures propagating throughout a portion of a structure that is disproportionate to the original local failure. When column members are subjected to unexpected load (compression load), they will buckle if the applied load is greater than the critical load that induces buckling. The post-buckling strength of the columns will decrease rapidly, but if there is enough residual strength, the members will absorb the potential energy generated by the impact load to prevent progressive collapse. Thus, it is necessary to identify the relationship of the load-deformation of a column member in the progressive collapse of a structure up to final collapse. In this study, we carried out nonlinear FEM analysis and based on deflection theory, we investigated the load-deformation relationship of H-section steel columns when both ends were fixed.

A Proposal of New Breaker Index Formula Using Supervised Machine Learning (지도학습을 이용한 새로운 선형 쇄파지표식 개발)

  • Choi, Byung-Jong;Park, Chang-Wook;Cho, Yong-Hwan;Kim, Do-Sam;Lee, Kwang-Ho
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.32 no.6
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    • pp.384-395
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    • 2020
  • Breaking waves generated by wave shoaling in coastal areas have a close relationship with various physical phenomena in coastal regions, such as sediment transport, longshore currents, and shock wave pressure. Therefore, it is crucial to accurately predict breaker index such as breaking wave height and breaking depth, when designing coastal structures. Numerous scientific efforts have been made in the past by many researchers to identify and predict the breaking phenomenon. Representative studies on wave breaking provide many empirical formulas for the prediction of breaking index, mainly through hydraulic model experiments. However, the existing empirical formulas for breaking index determine the coefficients of the assumed equation through statistical analysis of data under the assumption of a specific equation. In this paper, we applied a representative linear-based supervised machine learning algorithms that show high predictive performance in various research fields related to regression or classification problems. Based on the used machine learning methods, a model for prediction of the breaking index is developed from previously published experimental data on the breaking wave, and a new linear equation for prediction of breaker index is presented from the trained model. The newly proposed breaker index formula showed similar predictive performance compared to the existing empirical formula, although it was a simple linear equation.