• Title/Summary/Keyword: Simple kriging

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Finite element model updating of long-span cable-stayed bridge by Kriging surrogate model

  • Zhang, Jing;Au, Francis T.K.;Yang, Dong
    • Structural Engineering and Mechanics
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    • v.74 no.2
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    • pp.157-173
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    • 2020
  • In the finite element modelling of long-span cable-stayed bridges, there are a lot of uncertainties brought about by the complex structural configuration, material behaviour, boundary conditions, structural connections, etc. In order to reduce the discrepancies between the theoretical finite element model and the actual static and dynamic behaviour, updating is indispensable after establishment of the finite element model to provide a reliable baseline version for further analysis. Traditional sensitivity-based updating methods cannot support updating based on static and dynamic measurement data at the same time. The finite element model is required in every optimization iteration which limits the efficiency greatly. A convenient but accurate Kriging surrogate model for updating of the finite element model of cable-stayed bridge is proposed. First, a simple cable-stayed bridge is used to verify the method and the updating results of Kriging model are compared with those using the response surface model. Results show that Kriging model has higher accuracy than the response surface model. Then the method is utilized to update the model of a long-span cable-stayed bridge in Hong Kong. The natural frequencies are extracted using various methods from the ambient data collected by the Wind and Structural Health Monitoring System installed on the bridge. The maximum deflection records at two specific locations in the load test form the updating objective function. Finally, the fatigue lives of the structure at two cross sections are calculated with the finite element models before and after updating considering the mean stress effect. Results are compared with those calculated from the strain gauge data for verification.

Comparison and Evaluation of Root Mean Square for Parameter Settings of Spatial Interpolation Method (공간보간법의 매개변수 설정에 따른 평균제곱근 비교 및 평가)

  • Lee, Hyung-Seok
    • Journal of the Korean Association of Geographic Information Studies
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    • v.13 no.3
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    • pp.29-41
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    • 2010
  • In this study, the prediction errors of various spatial interpolation methods used to model values at unmeasured locations was compared and the accuracy of these predictions was evaluated. The root mean square (RMS) was calculated by processing different parameters associated with spatial interpolation by using techniques such as inverse distance weighting, kriging, local polynomial interpolation and radial basis function to known elevation data of the east coastal area under the same condition. As a result, a circular model of simple kriging reached the smallest RMS value. Prediction map using the multiquadric method of a radial basis function was coincident with the spatial distribution obtained by constructing a triangulated irregular network of the study area through the raster mathematics. In addition, better interpolation results can be obtained by setting the optimal power value provided under the selected condition.

Methodology of Springback Prediction of Automotive Parts Applied 3rd Generation AHSS Using the Progressive Meta Model (프로그레시브 메타모델을 이용한 3세대 초고장력강판 적용 차체 부품의 스프링백 예측 방법론)

  • Yoon, J.I.;Oh, K.H.;Lee, S.R.;Yoo, J.H.;Kim, T.J.
    • Transactions of Materials Processing
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    • v.29 no.5
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    • pp.241-250
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    • 2020
  • In this study, the methodology of the springback prediction of automotive parts applied 3rd generation AHSS was investigated using the response surface model analysis based on a regression model, and the meta model analysis based on a Kriging model. To design the learning data set for constructing the springback prediction models, and the experimental design was conducted at three levels for each processing variable using the definitive screening designs method. The hat-shaped member, which is the basic shape of the member parts, was selected and the springback values were measured for each processing type and processing variable using the finite element analysis. When the nonlinearity of the variables is small during the hat-shaped member forming, the response surface model and the meta model can provide the same processing parameter. However, the accuracy of the springback prediction of the meta model is better than the response surface model. Even in the case of the simple shape parts forming, the springback prediction accuracy of the meta model is better than that of the response surface model, when more variables are considered and the nonlinearity effect of the variables is large. The efficient global optimization algorithm-based Kriging is appropriate in resolving the high computational complexity optimization problems such as developing automotive parts.

Analysis of Rainfall Intermittency and Log-normality on the Kriging: Focused on Simple Kriging (강우의 간헐성과 비정규성이 크리깅에 미치는 영향 분석: 단순크리깅을 중심으로)

  • Ro, Yonghun;Ku, Jung Mo;Kang, Minseok;Kim, Gildo;Yoo, Chulsang
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.221-221
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    • 2016
  • 최근 레이더를 이용한 정량적 강수추정과 관련된 연구가 활발히 수행되고 있으며, 우량계와 레이더 자료의 합성과 관련된 연구가 수행되고 있다. 이는 정도 높은 우량계 자료의 장점과 강우의 공간분포를 파악할 수 있는 레이더 자료의 장점을 결합하여 고품질의 자료를 생산할 수 있기 때문이다. 자료합성과 관련된 다양한 기법이 도입되었고, 크리깅의 한 종류인 코크리깅이 널리 사용되고 있다. 크리깅은 값을 알고 있는 지점의 자료를 가중선형 조합하여 미지점의 값을 예측하는 경험적 방법으로 연속적이며 정규분포를 따르는 자료에 대해 유효하다. 그러나 강우자료는 강한 양의 왜곡도를 나타나고 간헐성도 강하게 나타나 크리깅의 이러한 조건을 만족시키지 못한다. 이로 인해 강우 자료에 크리깅을 수행할 경우 예측 값이 왜곡되거나 편향될 가능성이 크다. 이에 본 연구에서는 강우의 간헐성과 정규분포를 따르지 않는 특성을 고려하여 단순크리깅의 적용방법을 개선하였다. 단순크리깅은 가장 간단한 크리깅 기법으로 설명이 쉽고 적용사례를 비교하기 유리하여 이를 개선하면 다른 복잡한 크리깅 기법에도 쉽게 적용이 가능한 이점이 있다. 본 연구에서는 모의 자료와 레이더 강우 자료를 이용하여 단순크리깅을 수행하였고, 그 결과를 비교하여 자료의 간헐성과 비정규적 특성이 예측 값에 미치는 영향을 분석하였다.

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Geostatistical Downscaling of Coarse Scale Remote Sensing Data and Integration with Precise Observation Data for Generation of Fine Scale Thematic Information (고해상도 주제 정보 생성을 위한 저해상도 원격탐사 자료의 지구통계학기반 상세화 및 정밀 관측 자료와의 통합)

  • Park, No-Wook
    • Korean Journal of Remote Sensing
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    • v.29 no.1
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    • pp.69-79
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    • 2013
  • This paper presents a two-stage geostatistical integration approach that aims at downscaling of coarse scale remote sensing data. First, downscaling of the coarse scale sedoncary data is implemented using area-to-point kriging, and this result will be used as trend components on the next integration stage. Then simple kriging with local varying means that integrates sparse precise observation data with the downscaled data is applied to generate thematic information at a finer scale. The presented approach can not only account for the statistical relationships between precise observation and secondary data acquired at the different scales, but also to calibrate the errors in the secondary data through the integration with precise observation data. An experiment for precipitation mapping with weather station data and TRMM (Tropical Rainfall Measuring Mission) data acquired at a coarse scale is carried out to illustrate the applicability of the presented approach. From the experiment, the geostatistical downscaling approach applied in this paper could generate detailed thematic information at various finer target scales that reproduced the original TRMM precipitation values when upscaled. And the integration of the downscaled secondary information with precise observation data showed better prediction capability than that of a conventional univariate kriging algorithm. Thus, it is expected that the presented approach would be effectively used for downscaling of coarse scale data with various data acquired at different scales.

Providing the combined models for groundwater changes using common indicators in GIS (GIS 공통 지표를 활용한 지하수 변화 통합 모델 제공)

  • Samaneh, Hamta;Seo, You Seok
    • Journal of Korea Water Resources Association
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    • v.55 no.3
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    • pp.245-255
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    • 2022
  • Evaluating the qualitative the qualitative process of water resources by using various indicators, as one of the most prevalent methods for optimal managing of water bodies, is necessary for having one regular plan for protection of water quality. In this study, zoning maps were developed on a yearly basis by collecting and reviewing the process, validating, and performing statistical tests on qualitative parameters҆ data of the Iranian aquifers from 1995 to 2020 using Geographic Information System (GIS), and based on Inverse Distance Weighting (IDW), Radial Basic Function (RBF), and Global Polynomial Interpolation (GPI) methods and Kriging and Co-Kriging techniques in three types including simple, ordinary, and universal. Then, minimum uncertainty and zoning error in addition to proximity for ASE and RMSE amount, was selected as the optimum model. Afterwards, the selected model was zoned by using Scholar and Wilcox. General evaluation of groundwater situation of Iran, revealed that 59.70 and 39.86% of the resources are classified into the class of unsuitable for agricultural and drinking purposes, respectively indicating the crisis of groundwater quality in Iran. Finally, for validating the extracted results, spatial changes in water quality were evaluated using the Groundwater Quality Index (GWQI), indicating high sensitivity of aquifers to small quantitative changes in water level in addition to severe shortage of groundwater reserves in Iran.

Gain Parameter Determination for the Feeding Speed and Skew Controller of Media Transport System using Optimization Technique (최적화 기법을 적용한 매체 이송 시스템의 이송속도 및 비틀어짐 제어기의 이득값 결정)

  • Cha, Ho-Young;Bum, Sun-Ho;Kim, Min-Soo;Lee, Soon-Geul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.6
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    • pp.607-613
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    • 2009
  • In this paper, we made a simple paper feeding system which is one of MTS (media transport system) and controllers. The plant has a flexible paper and two driving rollers and two driven rollers. The control system has two conventional PID controllers. Skew angle and feeding speed of MTS deteriorate the quality of feeding system. In order to control a feeding speed and skew of feeding paper, we control rotational velocity of two driving rollers. Therefore, this controller has two inputs and two outputs as MIMO (multi-input and multi-output) system. The control inputs were the feeding speed and the skew displacement of the paper. The control outputs were the rotational velocity to each driving roller. To find appropriate PID gains of two controllers, we proposed an optimization technique. We assume the system variables and performance of a whole system as follows. PID gains of two controllers for skew and feeding speed are system variables. System performance is both skew and feeding speed. We simulates to making mathematical correlation using global Kriging interpolation. To find appropriate value of system variables, optimization method is simulation in sequence as following method. First, the optimization solver simulates with DOE (design of experiment) tables to find correlation equation of both system variable and performances. Then, the solver guesses the appropriate values and simulates if the system variables are appropriate or not. If the result of validation doesn't satisfy the convergence and iteration tolerance, the solver makes a new Kriging models and iterates this sequence until satisfy the tolerances.

Generation of Meteorological Parameters for Tropospheric Delay on GNSS Signal (GNSS 신호의 대류층 지연오차 보정을 위한 기상 정보 생성)

  • Jung, Sung-Wook;Baek, Jeong-Ho;Jo, Jung-Hyun;Lee, Jae-Won;Park, In-Kwan;Cho, Sung-Ki;Park, Jong-Uk
    • Journal of Astronomy and Space Sciences
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    • v.25 no.3
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    • pp.267-282
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    • 2008
  • The GNSS (Global Navigation Satellite System) signal is delayed by the neutral atmosphere at the troposphere, so that the delay is one of major error sources for GNSS precise positioning. The tropospheric delay is an integrated refractive index along the path of GNSS signal. The refractive index is empirically related to standard meteorological variables, such as pressure, temperature and water vapor partial pressure, therefore the tropospheric delay could be calculated from them. In this paper, it is presented how to generate meteorological data where observation cannot be performed. KASI(Korea Astronomy & Space Science Institute) has operated 9 GPS (Global Positioning System) permanent stations equipped with co-located MET3A, which is a meteorological sensor. Meteorological data are generated from observations of MET3A by Ordinary Kriging. To compensate a blank of observation data, simple models which consider periodic characteristics for meteorological data, are employed.

On the Hierarchical Modeling of Spatial Measurements from Different Station Networks (다양한 관측네트워크에서 얻은 공간자료들을 활용한 계층모형 구축)

  • Choi, Jieun;Park, Man Sik
    • The Korean Journal of Applied Statistics
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    • v.26 no.1
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    • pp.93-109
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    • 2013
  • Geostatistical data or point-referenced data have the information on the monitoring stations of interest where the observations are measured. Practical geostatistical data are obtained from a wide variety of observational monitoring networks that are mainly operated by the Korean government. When we analyze geostatistical data and predict the expectations at unobservable locations, we can improve the reliability of the prediction by utilizing some relevant spatial data obtained from different observational monitoring networks and blend them with the measurements of our main interest. In this paper, we consider the hierarchical spatial linear model that enables us to link spatial variables from different resources but with similar patterns and guarantee the precision of the prediction. We compare the proposed model to a classical linear regression model and simple kriging in terms of some information criteria and one-leave-out cross-validation. Real application deals with Sulfur Dioxide($SO_2$) measurements from the urban air pollution monitoring network and wind speed data from the surface observation network.

Development and Validation of Multi-Purpose Geostatistical Model with Modified Kriging Method (수정된 Kriging법을 응용한 다목적지구통계모델의 개발 및 타당성 검토)

  • Kim, In-Kee;Sung, Won-Mo;Jung, Moon-Young
    • Economic and Environmental Geology
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    • v.26 no.2
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    • pp.207-215
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    • 1993
  • In modem petroleum reservoir engineering, the characterization of reservoir heterogeneities is very important to accurately understand and predict reservoir production performance. Formation evaluation for the description of reservoir is generally conducted by performing the analysis of well logging, core testing, and well testing. However, the measured data points by well logging or core testing are in general very sparse and hence reservoir properties should be interpolated and extrapolated from measured points to uncharacterized areas. In assigning the data for the unknown points, simple averaging technique is not feasible as optimum estimation method since this method does not account the spatial relationship between the data points. The main goal of this work is to develop PC-version of multi-purpose geostatistical model in which several stages are systematically proceeded. In the development of model, the simulator employs a automatic selection of semivariogram function such as exponential or spherical model with the best values of $R^2$. The simulator also implements a special algorithm for the fitting of semivariogram function to experimental sernivariogram. The special algorithm such as trial and error scheme is devised since this method is much more reliable and stable than Gauss-Newton method. The simulator has been tested under stringent conditions and found to be stable. Finally, the validity and the applicability of the developed model have been studied against some existing actual field data.

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