• 제목/요약/키워드: Influence matrix

검색결과 787건 처리시간 0.029초

유리소재의 Pb 및 Cd 분석에 관한 연구 (Analytic study on lead and cadmium in glass materials)

  • 최철호;고재권
    • 분석과학
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    • 제20권1호
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    • pp.41-48
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    • 2007
  • 유리소재 중의 미량의 납 및 카드뮴을 Na-DDTC를 가하여 Pb- 및 Cd-DDTC 착물을 형성시켜 유리 matrix 원소들로 부터 분리한 다음 MIBK로 추출하여 ICP-AES로 분석하였다. 유리 기질성분인 Na, Si, Mg 그리고 Ca 화합물 등은 미량의 납 및 카드뮴 정량에 방해작용을 하므로 직접 분석할 수 없으므로 용매추출법에 의해 Pb 및 Cd를 효율적으로 분리할 수 있었다. Pb 및 Cd 화합물이 첨가된 시험기준 시료와 NIST SRM 1412에 대한 용매추출실험에서 matrix의 영향을 받지 않고 정량하였다.

비국부 적분 연산기로 표현되는 페리다이나믹 방정식의 수렴성 (Convergence of Nonlocal Integral Operator in Peridynamics)

  • 조광현;하윤도
    • 한국전산구조공학회논문집
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    • 제34권3호
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    • pp.151-157
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    • 2021
  • 본 연구에서는 비국부 적분 연산기로 표현되는 페리다이나믹 방정식의 수렴성을 검토한다. 정적/준정적 손상 해석 문제를 효율적으로 해석하기 위해 페리다이나믹 방정식의 implicit 정식화가 필요하다. 이 과정에서 페리다이나믹 비국부 적분 방정식으로부터 대수방정식 형태가 나타나게 되어 시스템 행렬 계산을 위해 많은 시간이 소요되기 때문에, 효율적인 계산을 위해 수렴성이 중요한 요소가 된다. 특히 radial influence 함수를 적분 kernel로 사용하는 경우 fractional Laplacian 적분 방정식이 유도된다. 비국부 적분 연산기의 교윳값 성질에 의해 대수방정식의 condition number가 radial influence 함수의 차수 및 비국부 영역의 크기에 영향을 받는 것이 수학적으로 확인되었다. 본 연구에서는 이를 토대로 균열이 있는 페리다이나믹 정적 해석 문제를 Newton-Raphson 방법으로 해석할 때 적분 커널의 차수, 비국부 영역의 크기 등이 대수방정식의 condition number와 preconditioned conjugate gradient (PCG) 방법으로 계산 시 수렴성 및 계산 시간에 미치는 영향을 수치적으로 분석한다.

Sensitivity Analysis in Principal Component Regression with Quadratic Approximation

  • Shin, Jae-Kyoung;Chang, Duk-Joon
    • Journal of the Korean Data and Information Science Society
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    • 제14권3호
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    • pp.623-630
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    • 2003
  • Recently, Tanaka(1988) derived two influence functions related to an eigenvalue problem $(A-\lambda_sI)\upsilon_s=0$ of real symmetric matrix A and used them for sensitivity analysis in principal component analysis. In this paper, we deal with the perturbation expansions up to quadratic terms of the same functions and discuss the application to sensitivity analysis in principal component regression analysis(PCRA). Numerical example is given to show how the approximation improves with the quadratic term.

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Tool Development for Evaluation of Quantitative Independency Between FRs in Axiomatic Design

  • Hwang, Yun-Dong;Cha, Sung-Woon;Kang, Young-Ju
    • International Journal of Precision Engineering and Manufacturing
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    • 제3권2호
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    • pp.52-60
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    • 2002
  • Axiomatic Design is the one of many useful methods for making a good design. In this method, the independency of Functional Requirements (FRs) is an important property to determine whether the design is good or not. Until now so many designers have decided the independency between FRs by their own decisions. The way depending on inspiration is simple and fast, but it can not be considered as a precise conclusion. Also there are not exact rule that evaluate the quantitative independence between FRs. This paper will show the way to evaluate the quantitative independence of FRs from the comparison between FRs of lower levels, and develop more efficient and objective tool in Axiomatic Design.

Influence of Moving Mass on Dynamic Behavior of Simply Supported Timoshenko Beam with Crack

  • Yoon Han-Ik;Choi Chang-Soo;Son In-Soo
    • International Journal of Precision Engineering and Manufacturing
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    • 제7권1호
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    • pp.24-29
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    • 2006
  • In this paper, the effect of open crack on the dynamic behavior of simply supported Timoshenko beam with a moving mass was studied. The influences of the depth and the position of the crack on the beam were studied on the dynamic behavior of the simply supported beam system by numerical methods. The equation of motion is derived by using Lagrange's equation. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments. The crack is modeled as a rotational spring. This flexibility matrix defines the relationship between the displacements and forces on the crack section and is derived by applying fundamental fracture mechanics theory. As the depth of the crack increases, the mid-span deflection of the Timoshenko beam with a moving mass is increased.

Analysis of boundary conditions effects on vibration of nanobeam in a polymeric matrix

  • Belmahi, Samir;Zidour, Mohamed;Meradjah, Mustapha;Bensattalah, Tayeb;Dihaj, Ahmed
    • Structural Engineering and Mechanics
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    • 제67권5호
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    • pp.517-525
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    • 2018
  • In this study, we investigate the vibration of single-walled carbon nanotubes embedded in a polymeric matrix using nonlocal elasticity theories with account arbitrary boundary conditions effects. A Winkler type elastic foundation is employed to model the interaction of nanobeam and the surrounding elastic medium. Influence of all parameters such as nonlocal small-scale effects, Winkler modulus parameter, vibration mode and aspect ratio of nanobeam on the vibration frequency are analyzed and discussed. The mechanical properties of carbon nanotubes and polymer matrix are treated and an analytical solution is derived using the governing equations of the nonlocal Euler-Bernoulli beam models. Solutions have been compared with those obtained in the literature and The results obtained show that the non-dimensional natural frequency is significantly affected by the small-scale coefficient, the vibrational mode number and the elastic medium.

Developing Individual Mastery Framework in an Embedded-Organization

  • Kim, Jae-Jon;Noh, Gui-Soon
    • 한국경영정보학회:학술대회논문집
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    • 한국경영정보학회 2008년도 춘계학술대회
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    • pp.446-453
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    • 2008
  • All are organizations embedded, here in after, Em-organizaion that confronts the ever-growing complexity. It is important to know Em-organization through Individual Mastery. The complexity must be decreased, and clarified in order to derive to get our ontology from the influence of others. The opportunity to learn in practice is embedded in processes that the community developed. Driving strategic innovation is achieving breakthrough performance throughout the value chain. We used to express complex unit on matrix which includes only the federal statutes because the role of information technology should be a source of competitive advantages each other. Therefore, we got the idea that integrated both kinds of knowledge to create differentiation by ourselves. This practice is situated the learning of Strategic CoP in e-class seminar of our graduate school. We suggest theoretically two things. One is matrix-based decision. Another is creating new context through systems thinking.

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이동질량과 크랙을 가진 단순지지 보의 동특성에 관한 연구 (A Study on the Dynamic Behavior of a Simply Supported Beam with Moving Masses and Cracks)

  • 윤한익;손인수;조정래
    • 한국해양공학회지
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    • 제17권6호
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    • pp.47-52
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    • 2003
  • To determine the effect of transverse open crack on the dynamic behavior of simply-supported Euler-Bernoulli beam with the moving masses, an iterative modal analysis approach is developed. The influence of depth and position of the crack in the beam, on the dynamic behavior of the simply supported beam system, have been studied by numerical method. The cracked section is represented by a local flexibility matrix, connecting two undamaged beam segments that is, the crack is modeled as a rotational spring. This flexibility matrix defines the relationship between the displacements and forces across the crack section, and is derived by applying a fundamental fracture mechanics theory. As the depth of the crack is increased, the mid-span deflection of the simply-supported beam, with the moving mass, is increased. The crack is positioned in the middle point of the pipe, and the mid-span defection of the simply-supported pipe represents maximum deflection.

A Sliding Surface Design for Linear Systems with Mismatched Uncertainties based on Linear Matrix Inequality

  • Jang, Seung-Ho;Kim, Sang-Woo
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.561-565
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    • 2005
  • Sliding mode control (SMC) is an effective method of controlling systems with uncertainties which satisfy the so-called matching condition. However, how to effectively handle mismatched uncertainties of systems is still an ongoing research issue in SMC. Several methods have been proposed to design a stable sliding surface even if mismatched uncertainties exist in a system. Especially, it is presented that robustness and efficiency of SMC for linear systems with mismatched uncertainties can be improved by reducing mismatched uncertainties in the reduced-order system. The reduction method needs a new sliding surface with an additional component based on Lyapunov redesign technique. In this paper, a stable sliding surface which contains additional component to reduce the influence of mismatched uncertainties, is introduced. It is designed by using linear matrix inequalities that guarantees the stability of the system. A numerical example demonstrates the validity of the proposed scheme.

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교량 말뚝기초의 단부 지점조건의 영향분석 (Influence of Pile Cap's Boundary Conditions in Piled Pier Structures)

  • 정상섬;원진오
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2005년도 춘계 학술발표회 논문집
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    • pp.25-32
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    • 2005
  • Modeling techniques of piled pier were reviewed and the influences of pile cap's boundary conditions were analyzed in this study. Among various modeling techniques, equivalent cantilever method seems relatively simple for modeling pile groups and it has some problems to determine the virtual fixed points. Through the analyses, it was found that the method of nonlinear p-y model with soil springs was more appropriate than equivalent cantilever method. The method modeling a pile group using stiffness matrix seems useful for practical design, which can represent the nonlinear three-dimensional behavior of a piled pier. In this study, the stiffness matrix of a pile group could be estimated efficiently and precisely using three-dimensional nonlinear analysis programs of pile groups (FBPier 3.0, YSGroup).

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