• 제목/요약/키워드: Taylor's method

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Comparison of measurement uncertainty calculation methods on example of indirect tensile strength measurement

  • Tutmez, Bulent
    • Geomechanics and Engineering
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    • 제12권6호
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    • pp.871-882
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    • 2017
  • Indirect measure of the tensile strength of laboratory samples is an important topic in rock engineering. One of the most important tests, the Brazilian strength test is performed to obtain the tensile strength of rock, concrete and other quasi brittle materials. Because the measurements are provided indirectly and the inspected rock materials may have heterogeneous properties, uncertainty quantification is required for a reliable test evaluation. In addition to the conventional measurement evaluation uncertainty methods recommended by the Guide to the Expression of Uncertainty in Measurement (GUM), such as Taylor's and Monte Carlo Methods, a fuzzy set-based approach is also proposed and resulting uncertainties are discussed. The results showed that when a tensile strength measurement is measured by a laboratory test, its uncertainty can also be expressed by one of the methods presented.

점회절 구면파의 전단 간섭계를 이용한 절대위치 측정 (Absolute position measurement by lateral shearing interferometry of point-diffracted spherical waves)

  • 주지영;김승우
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2006년도 춘계학술대회 논문집
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    • pp.25-26
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    • 2006
  • The method measuring the absolute position of a point diffraction source emitting a spherical wavefront in three-dimension is proposed. Two-dimensional interference of spherical wavefronts is used to overcome ambiguity of phase order. The spherical wavefront is explicated by Taylor series expansion, from which a radius of curvature of a spherical wavefront and its center position in three-dimension are obtainable. The spherical wavefront is reconstructed by a modified lateral shearing interferometer, which uses single-mode fiber as a point diffraction source.

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PIV에서의 보간기법의 평가에 관한 연구 (A Study on the Evaluation of Interpolation Methods in PIV)

  • 최장운;조대환;최민선;이영호
    • Journal of Advanced Marine Engineering and Technology
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    • 제20권4호
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    • pp.412-412
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    • 1996
  • To maintain high spacial accuracy and rapid CPU time in interpolating data from grid to random position or inversely in PIV, proposed many technuques are compared and discussed mainly in terms of interpolating error and computing time. And artificial PIV atmosphere data is furnished by CFD result. First, for interpolation from grid to random position, multiquadric method gives the highest accuracy with the longest CPU time and Taylor series expansion methods give reasonable accuracy with less calculating load. Secondly, the sub-pixel resolution analysis in estimating the coordinates of the maximum correlation coefficients essential in the grey level correlation PIV reveal that 8-neighbours 2nd-order least square interpolation gives utmost accuracy in terms of the real flow conditions.

COMPUTER SIMULATION OF ARC INTERRUPTION USING FEM FOR $SF_6$ GAS CIRCUIT BREAKERS

  • Park, K.Y.;Chong, J.K.;Song, K.D.;Lee, B.Y.;Mu, J.W.
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2000년도 춘계학술대회 논문집 유기절연재료 방전 플라즈마
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    • pp.68-73
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    • 2000
  • An arc model based on the N-S equations modified by adding an energy source term to take account of the arc is developed and solved using Taylor-Galerkin FEM. The numerical method is applied to the simulation of the interruption process of a puffer type GCB. Moving boundary conditions of the arc chamber during operation is taken into account. The thermal interruption capability of an actual puffer type GCB will be predicted and compared with that of the measured result.

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A fast approximate fitting for mixture of multivariate skew t-distribution via EM algorithm

  • Kim, Seung-Gu
    • Communications for Statistical Applications and Methods
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    • 제27권2호
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    • pp.255-268
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    • 2020
  • A mixture of multivariate canonical fundamental skew t-distribution (CFUST) has been of interest in various fields. In particular, interest in the unsupervised learning society is noteworthy. However, fitting the model via EM algorithm suffers from significant processing time. The main cause is due to the calculation of many multivariate t-cdfs (cumulative distribution functions) in E-step. In this article, we provide an approximate, but fast calculation method for the in univariate fashion, which is the product of successively conditional univariate t-cdfs with Taylor's first order approximation. By replacing all multivariate t-cdfs in E-step with the proposed approximate versions, we obtain the admissible results of fitting the model, where it gives 85% reduction time for the 5 dimensional skewness case of the Australian Institution Sport data set. For this approach, discussions about rough properties, advantages and limits are also presented.

강소성 유한요소법에서의 다결정 모델의 구현 (Implementation of Polycrystal Model in Rigid Plastic Finite Element Method)

  • 강경필;이경훈;김용환;신광선
    • 소성∙가공
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    • 제26권5호
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    • pp.286-292
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    • 2017
  • Magnesium alloy shows strong anisotropy and asymmetric behavior in tension and compression curve, especially at room temperature. These characteristics limit the application of finite element method (FEM) which is based on conventional continuum mechanics. To accurately predict the material behavior of magnesium alloy at microstructural level, a methodology of fully coupled multiscale simulation is presented and a crystal plasticity model as a constitutive equation in the simulation of metal forming process is introduced in this study. The existing constitutive equation for rigid plastic FEM is modified to accommodate deviatoric stress component and its derivatives with respect to strain rate components. Viscoplastic self-consistent (VPSC) polycrystal model was selected as a constitutive model because it was regarded as the most robust model compared to Taylor model or Sachs model. Stiffness matrix and load vector were derived based on the new approach and implemented into $DEFORM^{TM}-3D$ via a user subroutine handling stiffness matrix at an elemental level. The application to extrusion and rolling process of pure magnesium is presented in this study to assess the validity of the proposed multiscale process.

고령화 사회에 대한 위험인식 (Risk Perception of an Ageing Society)

  • 정순둘;최혜지;배은경;이경민
    • 한국노년학
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    • 제31권3호
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    • pp.813-829
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    • 2011
  • 본 연구는 고령화 사회에 대한 사회구성원들의 위험인식을 고찰하고, 우리 사회의 고령화 사회 준비와 그 방향을 모색해 보기 위한 목적으로 수행되었다. 본 연구는 사회적 위험에 대한 Slovic의 구성주의적 인식과 Taylor-Gooby의 신사회적 위험의 시각을 바탕으로 고령화 사회에 대한 위험인식을 위험순위와 위험인식으로 유형화하여 고찰하였다. 사회조사 연구로 설계했으며, 할당표집으로 추출한 20세 이상 성인 남녀 1,500명을 대상으로 수집한 자료를 분석하였다. 연구결과 고령화 사회에 대한 위험인식은 11개 위험영역 중 7번째로 나타났으며, 고령화 사회에 대한 위험순위는 '고령화 사회에 살고 있는지에 대한 인지여부', '고령화가 삶에 미치는 영향', '최종학력'에 의해 유의미한 영향을 받는 것으로 나타났다. 한편 고령화 사회에 대한 위험인식은 '고령화 사회의 자신과 연관성', '고령화가 삶에 미치는 영향', '최종학력'에 의해 유의미한 영향을 받는 것으로 나타났다. 이를 바탕으로 우리 사회구성원의 고령화 사회 준비와 그 방향에 대해 논의하였다.

Load-Displacement Formulations of Low-rise Unbounded RC Shear Walls with or without Openings

  • Lou, K. Y.;Cheng, F. Y.;Sheu, M. S.;Zhang, X. Z.
    • Computational Structural Engineering : An International Journal
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    • 제1권2호
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    • pp.117-130
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    • 2001
  • Investigations of low-rice unbounded reinforced concrete shear walls with or without openings are performed with comparison of analytical and experimental results. Theoretical analysis is based on nonlinear finite element algorithm, which incorporates concrete failure criterion and nonlinear constitutive relationships. Studios focus on the effects of height-to-length ratio of shear walls, opening ratio, horizontal and vertical reinforcement radios, and diagonal reinforcement. Analytical solutions conform well with experimental results. Equations for cracking, yielding and ultimate loads with corresponding lateral displacements are derived by regression using analytical results and experimental data. Also, failure modes of low-rise unbounded shear walls are theoretically investigated. An explanation of change in failure mode is ascertained by comparing analytical results and ACI code equations. Shear-flexural failure can be obtained with additional flexural reinforcement to increase a wall's capacity. This concept leads to a design method of reducing flexural reinforcement in low-rise bounded solid shear wall's. Avoidance of shear failure as well as less reinforcement congestion leer these walls is expected.

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General equations for free vibrations of thick doubly curved sandwich panels with compressible and incompressible core using higher order shear deformation theory

  • Nasihatgozar, M.;Khalili, S.M.R.;Fard, K. Malekzadeh
    • Steel and Composite Structures
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    • 제24권2호
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    • pp.151-176
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    • 2017
  • This paper deals with general equations of motion for free vibration analysis response of thick three-layer doubly curved sandwich panels (DCSP) under simply supported boundary conditions (BCs) using higher order shear deformation theory. In this model, the face sheets are orthotropic laminated composite that follow the first order shear deformation theory (FSDT) based on Rissners-Mindlin (RM) kinematics field. The core is made of orthotropic material and its in-plane transverse displacements are modeled using the third order of the Taylor's series extension. It provides the potentiality for considering both compressible and incompressible cores. To find these equations and boundary conditions, Hamilton's principle is used. Also, the effect of trapezoidal shape factor for cross-section of curved panel element ($1{\pm}z/R$) is considered. The natural frequency parameters of DCSP are obtained using Galerkin Method. Convergence studies are performed with the appropriate formulas in general form for three-layer sandwich plate, cylindrical and spherical shells (both deep and shallow). The influences of core stiffness, ratio of core to face sheets thickness and radii of curvatures are investigated. Finally, for the first time, an optimum range for the core to face sheet stiffness ratio by considering the existence of in-plane stress which significantly affects the natural frequencies of DCSP are presented.

종규칙파중(縱規則波中)에서의 선박(船舶)의 부가저항(附加抵抗) 계산(計算) (On the Added Resistance of a Ship in a Regular Head Sea)

  • 김효철
    • 대한조선학회지
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    • 제20권3호
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    • pp.17-20
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    • 1983
  • There have been many investigations of predicting the added resistance of a ship in seaway since Havelock discussed this topic in 1937. Among these researches, Maruo's theoretical approach is known as the most consistent mathematical representation for added resistance of a ship in regular head sea. In his theory, the hull form of a ship is represented under the slender body approximation. But the motion responses which were used for the calculation of the added resistance have been obtained by using the strip method which is based on an approximation that the hull form may be expressed as set of two dimensional cylinder sections in longitudinal direction. Therefore two different methods for hull form representation were implicity used in Maruo's original work for the added resistance calculation. Utilizing the characteristics that hull forms are usually slender, Kan expressed the hull form as two dimensional cylinder at each station by using the Taylor series expansion for the length wise direction. Putting this idea into Maruo's original work, the added resistance can be obtained with the explicitly unique representation of the hull form. For the purpose of comparison the added resistance of a hull form(series 60, Cb=0.6) was calculated by using the motion response obtained by Shintani. The numerical result showes a good qualitative agreement with the experimental result by Sibul.

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