• 제목/요약/키워드: Non-linear curve fitting

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곡선적합기법을 이용한 터널의 파괴시간 예측 (Prediction of Failure Time of Tunnel Applying the Curve Fitting Techniques)

  • 윤용균;조영도
    • 터널과지하공간
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    • 제20권2호
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    • pp.97-104
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    • 2010
  • 가속 크리프 거동을 보이는 재료의 파괴를 설명하기 위하여 재료 파괴식($\ddot{\Omega}=A{(\dot{\Omega})}^\alpha$, $\Omega$는 변위와 같은 측정가능한 양을 나타낸다)이 사용된다. 상수 A와 $\alpha$는 주어진 측정 자료를 곡선적합하여 얻는다. 본 연구에서는 재료 파괴식을 이용하여 터널의 파괴시간을 예측하였고, 재료 파괴식을 적용하기 위하여 4가지 곡선적합기법이 사용되었다. 4가지 곡선적합기법 중 로그속도-로그가속도기법, 로그시간-로그속도기법, 역속도법은 선형최소자승법을 이용하고 비선형최소자승기법은 Levenberg-Marquardt 알고리즘을 이용한다. 로그속도-로그가속도기법은 재료 파괴식을 대수형태로 만들어 해석을 하기 때문에 터널의 파괴시간 예측에 재료 파괴식을 적용하는 것이 타당한지에 대한 근거를 제시한다. 로그속도-로그가속도기법에 따른 자료의 상관계수가 0.84로 비교적 높게 나타났기 때문에 재료 파괴식을 터널의 파괴시간 예측에 적용하는 것이 타당하다고 판단된다. 실제 파괴시간과 4가지 곡선적합기법으로부터 얻은 예측 파괴시간을 비교한 결과 로그시간-로그속도기법이 가장 우수한 결과를 보여주는 것으로 나타났다.

백색잡음 하중 크기에 따른 TLD의 비선형 특성 평가 (Nonlinear Characteristics Evaluation of Tuned Liquid Damper with White Noise Amplitude)

  • 우성식;이상현;최기영;정란;박태원
    • 한국전산구조공학회논문집
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    • 제21권2호
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    • pp.135-143
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    • 2008
  • 본 연구에서는 진동대 실험을 통해 얻은 동적 데이터를 이용하여 TDL의 동적 비선형 특성에 대한 연구를 수행하였다. 현재까지 TDL의 설계는 액체의 비선형 거동이 나타남에도 불구하고 TMD 근사이론이나 선형파동이론과 같은 선형 거동을 가정으로 설계되어 지는 한계를 가지고 있다. 또한 조화하중과 같은 특정진동수에 지배되는 하중형태에 대한 TDL의 동적 비선형 특성이 규명되었지만 백색잡음과 같은 특정진동수 성분에 지배되지 않은 하중형태에 대한 TDL의 동적 비선형 특성은 아직까지 검증된 바가 없다. 본 논문은 백색잡음을 이용하여 가진 하중 크기에 따른 TDL의 동적 비선형 특성을 검토하여 설계 시 필요한 동조액체감쇠기의 감쇠비, 고유진동수비 및 유효질량비를 평가할 수 있는 산정식을 제안하였다.

소아 폐쇄성 요로질환에서 이뇨 신 신티그라피의 정량적 분석 (Quantitative Assessment of Obstructive Uropathy with Diuretic Renography in Children)

  • 김종호;이동수;곽철은;이경한;최창운;정준기;이명철;고창순;최용;최황
    • 대한핵의학회지
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    • 제27권2호
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    • pp.239-247
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    • 1993
  • Differentiating the various causes of hydronephrosis from that of obstruction can be very difficult. The decision-making process for those instances of urinary tract dilatation that require surgical correction and those that do not is based in part on the findings of diuresis renography. The methodology for performing this test has differed among nuclear medicine practitioners and the surgical findings are occasionally discrepant from the diuretic renogram interpretation. Consequently we made an automatic computer software program that calculates the slope of the response curve. The quantitative indices, such as the injection and response t1/2 by linear-fitting and monoexponential-fitting, were compared with the visual assessment of the diuretic cinerenography and clinical outcome in 50 children (62 kidneys) with ureteropelvic junction obstruction. Pooled diuresis renogram data indicated that: (1) Visual evaluation of the diuretic cinerenography is a sensitive (87%, 54/62) tool to differentiate obstruction in suspected ureteropelvic junction obstruction. (2) The cut-off value (maximum washout t1/2 with non-obstruction) of injection and response t1/2 by linear-fitting were 40 min. (3) The sensitivity and specificity using injection and response t1/2 by linear-fitting for obstruction were 89%(23/26) and 100%(30/30), respectively. (4) Response t1/2 as well as injection t1/2 by monoexponential-fitting do not stratify children with possible ureteropelivic junction obstruction. In conclusion, quantitative assessment of diuretic renography as well as visual assessment of diuretic cinerenography correlate well with surgical and clinical outcome of suspected ureteropelvic junction obstruction.

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Bayesian curve-fitting with radial basis functions under functional measurement error model

  • Hwang, Jinseub;Kim, Dal Ho
    • Journal of the Korean Data and Information Science Society
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    • 제26권3호
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    • pp.749-754
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    • 2015
  • This article presents Bayesian approach to regression splines with knots on a grid of equally spaced sample quantiles of the independent variables under functional measurement error model.We consider small area model by using penalized splines of non-linear pattern. Specifically, in a basis functions of the regression spline, we use radial basis functions. To fit the model and estimate parameters we suggest a hierarchical Bayesian framework using Markov Chain Monte Carlo methodology. Furthermore, we illustrate the method in an application data. We check the convergence by a potential scale reduction factor and we use the posterior predictive p-value and the mean logarithmic conditional predictive ordinate to compar models.

준설매립토 및 화강풍화토의 흙-수분 특성곡선에 관한 연구 (A Study on Soil-Water Characteristic Curves of Reclaimed Soil and Weathered Granite Soil)

  • 신은철;이학주;김환준
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2002년도 봄 학술발표회 논문집
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    • pp.743-750
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    • 2002
  • Unsaturated soil has a possibility to induce a negative pore water pressure. Until now, saturated soil is mainly focused on the research of soil mechanics. Recently, soil mechanics is researched on two major parts such as saturated and unsaturated soil mechanics. Negative pore water pressure has a non-linear relationship with the water content changes. Soil-water characteristic curves of soil in Korea are not determined. There is no proper characteristic value such as air-entry value and residual water content. In this study, the characteristic curves of reclaimed soil, sand, and weathered granite soil were determined by laboratory tests. Air-entry value and residual water content were determined by fitting methods. Soil-water characteristic curves were estimated based on the particle-size distribution and compared with the laboratory test results. The results of soil-water characteristic curves estimation indicated that Fredlund and Wilson's model is excellent for sand and weathered granite soil. Arya and Paris's model is excellent for reclaimed soil.

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고속으로 운전되는 영구자석형 동기전동기의 철손 및 풍손 해석 (Analysis on the Core Loss and Windage Loss in Permanent Magnet Synchronous Motor for High-Speed Application)

  • 장석명;고경진;조한욱
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제55권10호
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    • pp.511-520
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    • 2006
  • Recently, more attention has been paid to the development of high-speed permanent magnet (PM) synchronous motors, since they are conductive to high efficiency, high power density, small size, and low weight. In high-speed PM machines, core loss and windage loss form a larger proportion of the total losses than usual in conventional mid- or low speed machines. This article deals with the analysis on the core loss and windage loss in PM synchronous motor for high-speed application. Using the data information from a manufacturer and non-linear curve fitting, this paper investigates the magnetic behavior and its core losses in the stator core using the electrical steels. And, the windage loss is calculated according to the variation of the rotational speed, motor inner pressure and temperature.

다중격자 다중차원 기법을 응용한 캠과 종동물의 비정상 상태의 유막특성 연구 (Study on the Transient EHL Fluid Film for the Dynamic Contact Behaviors between Cam and Follower with Multigrid Multilevel Method)

  • 장시열
    • Tribology and Lubricants
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    • 제20권3호
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    • pp.132-139
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    • 2004
  • Many researches about the contacts between cam and follower have investigated EHL film thickness either without dynamic loading effect or only with curve fitting formula such as Dowson-Hamrock's, because including squeeze film effect makes it hard to obtain convergence and stability of computation. Therefore, inaccurate information about minimum film thickness without dynamic loading condition causes inappropriate design of cam profiles and wrong selection of cam and follower materials. In this work, computation tools both for kinematics and dynamics of valve train system of push-rod type and for fluid film thickness with elastic deformation on the basis of dynamic loading condition with multigrid multi-level method is developed. The computational results of minimum film thickness with the respects of both static and dynamic loading conditions are compared for the contact of flat follower over the entire cycle.

Experimental Works and Power Loss Calculations of Surface-Mounted Permanent Magnet Machines

  • Choi, Jang-Young;Ko, Kyoung-Jin;Jang, Seok-Myeong
    • Journal of Magnetics
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    • 제16권1호
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    • pp.64-70
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    • 2011
  • Surface-mounted permanent magnet (PM) machines were examined experimentally and theoretically, through power loss measurements and calculations. Windage, friction and copper losses were calculated using simple analytical equations and finite element (FE) analyses. Stator core losses were calculated by determining core loss coefficients through curve-fitting and magnetic behavior analysis through non-linear FE calculations. Rotor eddy current losses were calculated using FE analyses that considered the time harmonics of phase current according to load. Core, windage and friction open-circuit losses and copper loss were determined experimentally to test the validity of the analyses.

유묘 뿌리썩음병 진전에 따른 이산재배 토양의 유별 (Grouping the Ginseng Field Soil Based on the Development of Root Rot of Ginseng Seedlings)

  • 박규진;박은우;정후섭
    • 한국식물병리학회지
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    • 제13권1호
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    • pp.37-45
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    • 1997
  • Disease incidence (DI), pre-emergence damping-off (PDO), days until the first symptom appeared (DUS), disease progress curve (DPC), and area under disease progress curve (AUDPC) were investigated in vivo after sowing ginseng seeds in each of 37 ginseng-cultivated soils which were sampled from 4 regions in Korea. Non linear fitting parameters, A, B, K and M, were estimated from the Richards' function, one of the disease progress models, by using the DI at each day from the bioassay. Inter- and intra-relationships between disease variables and stand-missing rate (SMR) in fields were investigated by using the simple correlation analysis. Disease variables of the root rot were divided into two groups: variables related to disease incidence, e.g., DI, AUDPC and A parameter, and variables related to disease progress, e.g., B, K and M parameters. DI, AUDPC, and DUS had significant correlations with SMR in ginseng fields, and then it showed that the disease development in vivo corresponded with that in fields. Soil samples could be separated into 3 and 4 groups, respectively, on the basis of the principal component 1 (PC1) and the principal component 2 (PC2), which were derived from the principal component analysis (PCA) of Richards' parameters, A, B, K and M. PC1 accounted for B, K and M parameters, and PC2 accounted for A parameter.

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Interpreting in situ Soil Water Characteristics Curve under Different Paddy Soil Types Using Undisturbed Lysimeter with Soil Sensor

  • Seo, Mijin;Han, Kyunghwa;Cho, Heerae;Ok, Junghun;Zhang, Yongseon;Seo, Youngho;Jung, Kangho;Lee, Hyubsung;Kim, Gisun
    • 한국토양비료학회지
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    • 제50권5호
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    • pp.336-344
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    • 2017
  • The soil water characteristics curve (SWCC) represents the relation between soil water potential and soil water content. The shape and range of SWCC according to the relation could vary depending on soil characteristics. The objective of the study was to estimate SWCC depending on soil types and layers and to analyze the trend among them. To accomplish this goal, the unsaturated three soils were considered: silty clay loam, loam, and sandy loam soils. Weighable lysimeters were used for exactly measuring soil water content and soil water potential. Two fitting models, van Genuchten and Campbell, were applied. Two models entirely fitted well the measured SWCC, indicating low RMSE and high $R^2$ values. However, the large difference between the measured and the estimated was found at the 30 cm layer of the silty clay loam soil, and the gap was wider as soil water potential increased. In addition, the non-linear decrease of soil water content according to the increase of soil water potential tended to be more distinct in the sandy loam soil and at the 10 cm layer than in the silty clay loam soil and at the lower layers. These might be seen due to the various factors such as not only pore size distribution, but also cracks by high clay content and plow pan layers by compaction. This study clearly showed difficulty in the estimation of SWCC by such kind of factors.