• 제목/요약/키워드: extrapolation method

검색결과 304건 처리시간 0.026초

Statistical analysis of KNHANES data with measurement error models

  • Hwang, Jinseub
    • Journal of the Korean Data and Information Science Society
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    • 제26권3호
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    • pp.773-779
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    • 2015
  • We study a statistical analysis about the fifth wave data of the Korea National Health and Nutrition Examination Survey based on linear regression models with measurement errors. The data is obtained from a national population-based complex survey. To demonstrate the availability of measurement error models, two results between the general linear regression model and measurement error model are compared based on the model selection criteria which are Akaike information criterion and Bayesian information criterion. For our study, we use the simulation extrapolation algorithm for measurement error model and the jackknife method for the estimation of standard errors.

SUS416강의 효과적 가공을 위한 열처리 조건에 관한 연구 (A Study on the Heat Treatment Condition for Effective Manufacturing of SUS416 Steel)

  • 김홍건
    • 한국공작기계학회논문집
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    • 제14권1호
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    • pp.24-29
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    • 2005
  • Optimal heat treatment process in martensitic stainless steel such as SUS416 is investigated. The approach is based on the combination of the interpolation and extrapolation method of a standard heat treatment technology with the principle of quenching and tempering temperature difference. The relationship of the macroscopic structure, fracture toughness and ductility as well as the hardness and strength are considered to induce a simple rule to apply with feasibility. Consequently, Optimal heat treatment condition in martensitic stainless steel is proposed and is shown the better quality. It was found that the smaller pain size of microstructure gives the enhanced fracture toughness and ductility.

SOME PROPERTIES OF SIMEX ESTIMATOR IN PARTIALLY LINEAR MEASUREMENT ERROR MODEL

  • Meeseon Jeong;Kim, Choongrak
    • Journal of the Korean Statistical Society
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    • 제32권1호
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    • pp.85-92
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    • 2003
  • We consider the partially linear model E(Y) : X$^{t}$ $\beta$+η(Z) when the X's are measured with additive error. The semiparametric likelihood estimation ignoring the measurement error gives inconsistent estimator for both $\beta$ and η(.). In this paper we suggest the SIMEX estimator for f to correct the bias induced by measurement error, and explore its properties. We show that the rational linear extrapolant is proper in extrapolation step in the sense that the SIMEX method under this extrapolant gives consistent estimator It is also shown that the SIMEX estimator is asymptotically equivalent to the semiparametric version of the usual parametric correction for attenuation suggested by Liang et al. (1999) A simulation study is given to compare two variance estimating methods for SIMEX estimator.

The Determination of Take-Off Time in Iteration on Dynamic Susceptibility Contrast Agent MR Perfusion Imaging

  • 김대원;류완석;정성택
    • 대한자기공명의과학회:학술대회논문집
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    • 대한자기공명의과학회 2003년도 제8차 학술대회 초록집
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    • pp.79-80
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    • 2003
  • In existing method, the threshold has determined the points to be used in extrapolation and only pre-peak points were used to find t0. However, to reduce error in using this fitting method, in this study, finding t0is considered the correlation between fitting result and each profile in using iteration method. And the proposed method is compared with the existing method.

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외삽법과 고주파 영차홀드 출력이 포함된 가상 스프링 모델의 안정성 영역 분석 (Stability Analysis for a Virtual Spring Model with an Extrapolation and High-frequency ZOH)

  • 이경노
    • 한국산학기술학회논문지
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    • 제19권1호
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    • pp.12-17
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    • 2018
  • 가상환경에 대한 현실감을 증강시키기 위해서는 햅틱 시스템의 안정성을 유지하면서 가상환경 모델의 강성을 최대한 크게 할 수 있는 방법이 필요하다. 이에 기존 연구에서 영차홀드 대신 일차홀드를 적용하는 방법이 제시되었고, 영차홀드를 이용할 때보다 가상 스프링의 안정성 영역을 더 크게 확보할 수 있음을 시뮬레이션을 통해 제시했다. 그렇지만 실제로 시스템을 구현하는 측면에서 보면, 영차홀드가 일반적이고 손쉬운 방법이다. 이에 본 논문에서는 영차홀드를 사용하지만, 일차홀드와 동등한 안정성 영역을 확보하기 위한 방법으로 외삽법과 고주파 영차홀드 출력 방법을 제안한다. 제안된 방법에 대한 시뮬레이션을 통해 고주파 영차홀드의 샘플링 주기가 작아질수록 가상 스프링의 안정성 영역이 일차홀드를 적용한 경우와 거의 같아짐을 보였고, 기존 연구에서 제시된 영차홀드만을 적용한 경우보다는 수 배에서 수십 배 안정성 영역이 더 커질수 있음을 보였다. 따라서 제안된 방법을 통해 가상 환경 속 강체에 대한 현실감을 증강시킬 수 있을 것으로 기대된다.

A surface extension method using several functions

  • 김회섭
    • 한국전산응용수학회:학술대회논문집
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    • 한국전산응용수학회 2003년도 KSCAM 학술발표회 프로그램 및 초록집
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    • pp.3.2-3
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    • 2003
  • We propose a method of surface extension method using several functions. Interpolation theory is well developed in curve and surface. But extrapolation theory is not well developed because it is not unique outside the useful domain. It requires continuous, first derivative, second derivative continuous extension for matching in NC(Numerical Control) machine. In the past, we generate data outside the useful area and refit those data using least squares method. this has some problems which have some errors within the useful area. We keep the useful area and extend the unuseful area by a function

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Nonlinear spectral collocation analysis of imperfect functionally graded plates under end-shortening

  • Ghannadpour, S. Amir M.;Kiani, Payam
    • Structural Engineering and Mechanics
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    • 제66권5호
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    • pp.557-568
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    • 2018
  • An investigation is made in the present work on the post-buckling and geometrically nonlinear behaviors of moderately thick perfect and imperfect rectangular plates made-up of functionally graded materials. Spectral collocation approach based on Legendre basis functions is developed to analyze the functionally graded plates while they are subjected to end-shortening strain. The material properties in this study are varied through the thickness according to the simple power law distribution. The fundamental equations for moderately thick rectangular plates are derived using first order shear deformation plate theory and taking into account both geometric nonlinearity and initial geometric imperfections. In the current study, the domain of interest is discretized with Legendre-Gauss-Lobatto nodes. The equilibrium equations will be obtained by discretizing the Von-Karman's equilibrium equations and also boundary conditions with finite Legendre basis functions that are substituted into the displacement fields. Due to effect of geometric nonlinearity, the final set of equilibrium equations is nonlinear and therefore the quadratic extrapolation technique is used to solve them. Since the number of equations in this approach will always be more than the number of unknown coefficients, the least squares technique will be used. Finally, the effects of boundary conditions, initial geometric imperfection and material properties are investigated and discussed to demonstrate the validity and capability of proposed method.

Fatigue life prediction of multiple site damage based on probabilistic equivalent initial flaw model

  • Kim, JungHoon;Zi, Goangseup;Van, Son-Nguyen;Jeong, MinChul;Kong, JungSik;Kim, Minsung
    • Structural Engineering and Mechanics
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    • 제38권4호
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    • pp.443-457
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    • 2011
  • The loss of strength in a structure as a result of cyclic loads over a period of life time is an important phenomenon for the life-cycle analysis. Service loads are accentuated at the areas of stress concentration, mainly at the connection of components. Structural components unavoidably are affected by defects such as surface scratches, surface roughness and weld defects of random sizes, which usually occur during the manufacturing and handling process. These defects are shown to have an important effect on the fatigue life of the structural components by promoting crack initiation sites. The value of equivalent initial flaw size (EIFS) is calculated by using the back extrapolation technique and the Paris law of fatigue crack growth from results of fatigue tests. We try to analyze the effect of EIFS distribution in a multiple site damage (MSD) specimen by using the extended finite element method (XFEM). For the analysis, fatigue tests were conducted on the centrally-cracked specimens and MSD specimens.

일래스토메릭 부싱의 축방항모드에 대한 리아니스 모델연구 (A Study of Lianis Model for Elastomeric Bushing in Axial Mode)

  • 이성범
    • Elastomers and Composites
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    • 제37권3호
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    • pp.151-158
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    • 2002
  • 본 연구에서 고려된 elastomeric bushing은 자동차 현가장치에 사용되는 기계요소로서, 바깥쪽의 실린더형 슬리브와 안쪽의 실린더형 축 사이에서 가운데가 완전히 비어있는 실린더의 형태를 가진다. 본 연구에서는 일래스토메릭 부싱에 적용되는 힘과 변형의 관계가 비선형이고 점탄성의 특성을 보이므로, Lianis에 의해 발전되어진 비선형 점탄성 비압축 재료에 대한 구조방정식을 사용하여, 부싱의 축방향 응답에 대한 힘과 변위의 관계를 얻었다. 또한 변위에 의존하는 force relaxation function은 extrapolation method에 의한 ramp displacement control test로부터 완성되고, 이는 step displacement control test로부터 얻게된 결과와 비교하며, 두 결과가 매우 잘 일치됨을 확인하였다.