• 제목/요약/키워드: simultaneous equations

검색결과 295건 처리시간 0.024초

주요매개변수에 따른 복사매질 내에서의 열전달 특성에 관한 연구 (Parametric study on the heat transfer in a radiating medium)

  • 이찬;백승욱
    • 대한기계학회논문집
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    • 제12권6호
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    • pp.1381-1389
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    • 1988
  • 본 연구에서는 앞서의 여러 경우에서 단순하게 취급 되었던 화염면과 연료표 면의 경계조건을 무한히 길고, 평행한 확산, 회색 평판(gray, diffuse plates)으로 보 고, 이 두 평판 사이에 흡수(absorbing), 방사(emitting), 산란(scattering)을 하는 회색매질(gray medium)이 차여져 있다고 생각한다. 이런 가정하 에서, 여러 매개변 수들을 변화시켜가며 전도, 대류, 복사열전달들의 상호작용과 온도 분포를 수치적으로 해석하였다. 특히 화염면과 연료표면간의 열교환에 있어서의 분출에 의한 효과와 복 사열전달의 영향에 관심을 기울였다.

노년기 상용치료원 보유의 효과 분석: 의료비와 주관적 건강상태에 대한 효과를 중심으로 (An Analysis on the Effect of Having a Usual Source of Care for the Elderly: Focusing on the Healthcare Expenditure and the Subjective Health Status)

  • 전예지;사공진
    • 보건행정학회지
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    • 제31권4호
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    • pp.531-543
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    • 2021
  • Background: Population aging is a serious problem in Korea. And we have experienced a rapid increase in the health expenditures of the elderly. The purpose of this paper is to analyze the effect of having a usual source of care (USC) for the elderly. Methods: This study used the Korea Health Panel Survey data of 2012, 2013, 2016, 2017, and 2018. The sample was the person who answered the USC questions among the elderly. The panel logit model was used to analyze the determinants of having USC and the panel simultaneous equation model was used to analyze the effect of having USC among the elderly on the medical expenses, medical utilization, and subjective health status. Results: The estimation result shows that age, income, marriage, and so forth turn out to be the factors of having USC. Having the clinic level USC is estimated to reduce the health care utilization and the health expenditure and to improve the subjective health status. Conclusion: It is expected that the result of our analysis will provide evidence for encouraging having USC.

Identification of structural systems and excitations using vision-based displacement measurements and substructure approach

  • Lei, Ying;Qi, Chengkai
    • Smart Structures and Systems
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    • 제30권3호
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    • pp.273-286
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    • 2022
  • In recent years, vision-based monitoring has received great attention. However, structural identification using vision-based displacement measurements is far less established. Especially, simultaneous identification of structural systems and unknown excitation using vision-based displacement measurements is still a challenging task since the unknown excitations do not appear directly in the observation equations. Moreover, measurement accuracy deteriorates over a wider field of view by vision-based monitoring, so, only a portion of the structure is measured instead of targeting a whole structure when using monocular vision. In this paper, the identification of structural system and excitations using vision-based displacement measurements is investigated. It is based on substructure identification approach to treat of problem of limited field of view of vision-based monitoring. For the identification of a target substructure, substructure interaction forces are treated as unknown inputs. A smoothing extended Kalman filter with unknown inputs without direct feedthrough is proposed for the simultaneous identification of substructure and unknown inputs using vision-based displacement measurements. The smoothing makes the identification robust to measurement noises. The proposed algorithm is first validated by the identification of a three-span continuous beam bridge under an impact load. Then, it is investigated by the more difficult identification of a frame and unknown wind excitation. Both examples validate the good performances of the proposed method.

수지형 하천에서의 부정류 흐름의 해석 알고리즘 (Solution Algorithm of Unsteady Flow in a Dendritic Channel System)

  • 최계운
    • 대한토목학회논문집
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    • 제14권4호
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    • pp.839-846
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    • 1994
  • 본 논문에서 수지형 하천내 1차원 부정류 흐름해석을 위한 알고리즘을 개발하였다. 이 해석 알고리즘은 수지형 하천내 부정류의 흐름을 각각의 지류내 단면간에는 연속방정식과 모우멘트 방정식을 적용하고 합류점과 분류점에서는 연속방정식과 에너지방정식을 적용하여 유한차분화한후, 이에 적합한 순환방정식을 도출하여 적용하였으며, 이때 순환계수들은 합류하는 하천단면, 분류하는 하천단변, 합류점, 분류정에 따라 각각 다르게 결정토록 하였다. 이와같은 순환계수 및 순환방정식을 이용하여 수지형 하천내 흐름해석을 단일 하천내 흐름해석과 동일하게 전진법에서는 순환계수를 계산하고, 후진법에서는 순환방정식의 해를 구하는 것이 가능하도록 하였다. 이에 따라 흐름해석을 위한 컴퓨터 저장용량도 $2N{\times}2N$ 행렬로부터 $2N{\times}4$ 행렬로 줄이도록 하였고 계산시간도 상당히 절약하였으며 이때 N은 수지형 하천내 흐름특성인 유량 및 수위를 결정해야하는 절점을 나타낸다. 이와같이 제안된 알고리즘을 이용하여 수지형 하천내 부정류 흐름을 개인용 컴퓨터등을 이용하여 효율적이며 정확하게 해석할 수 있다.

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블록의 탑재 안전성을 위한 초기 평형 자세 탐색 방법 연구 (A Study on the Methods for Finding Initial Equilibrium Position of a Lifting Block for the Safe Erection)

  • 전도현;노명일;함승호;이혜원
    • 대한조선학회논문집
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    • 제55권4호
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    • pp.297-305
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    • 2018
  • In a shipyard, block lifting is an important process in the production of ships and offshore structures. Block lifting is a sensitive process because lifting blocks have to be erected with exact positions and orientations. If we use a numerical method for the process, it is important to find tensions of wires and positions of equalizers to maintain the initial equilibrium position of the block. At this time, equations of motion of the block should be solved to calculate the initial equilibrium position of the block. Because the solving technique changes according to the number of equalizers, a suitable equation for the corresponding problem is required. In this study, three types of equations are proposed to find the initial equilibrium position of the block according to the number of equalizers. The Newton-Raphson's method is used to solve nonlinear simultaneous equations and the optimization method is used to determine the appropriate solution to the undetermined problem. To evaluate the applicability of the proposed methods, the dynamic simulations are performed using the tensions calculated from the proposed methods, and the results are discussed. The results show that the proposed methods can be effectively used to determine initial equilibrium position of the block for the block lifting.

분포하중(分布荷重)을 받는 구형판(矩形板)의 탄성해석(彈性解析) (Analysis of Rectangular Plates under Distributed Loads of Various Intensity with Interior Supports at Arbitrary Positions)

  • 장석윤
    • 대한조선학회지
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    • 제13권1호
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    • pp.17-23
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    • 1976
  • Some methods of analysis of rectangular plates under distributed load of various intensity with interior supports are presented herein. Analysis of many structures such as bottom, side shell, and deck plate of ship hull and flat slab, with or without internal supports, Floor systems of bridges, included crthotropic bridges is a problem of plate with elastic supports or continuous edges. When the four edges of rectangular plate is simply supported, the double Fourier series solution developed by Navier can represent an exact result of this problem. If two opposite edges are simply supported, Levy's method is available to give an "exact" solution. When the loading condition and supporting condition of a plate does not fall into these cases, no simple analytic method seems to be feasible. Analysis of a simply supported rectangular plate under irregularly distributed loads of various intensity with internal supports is carried out by applying Navier solution well as the "Principle of Superposition." Finite difference technique is used to solve plates under irregularly distributed loads of various intensity with internal supports and with various boundary conditions. When finite difference technique is applied to the Lagrange's plate bending equation, any of fourth order derivative term in this equation produces at least five pivotal points leading to some troubles when the resulting linear algebraic equations are to be solved. This problem was solved by reducing the order of the derivatives to two: the fourth order partial differential equation with one dependent variable, namely deflection, is changed to an equivalent pair of second order partial differential equations with two dependent variables. Finite difference technique is then applied to transform these equations to a set of simultaneous linear algebraic equations. Principle of Superposition is then applied to handle the problems caused by concentrated loads and interior supports. This method can be used for the cases of plates under irregularly distributed loads of various intensity with arbitrary conditions such as elastic supports, or continuous edges with or without interior supports, and this method can also be solve the influence values of deflection, moment and etc. at arbitrary position of plates under the live load.

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구리와 코발트의 분광광도법에 의한 정량에 있어서 고분자량 알킬아민의 이용 (Use of High Molecular Alkylamines in the Simultaneous Determination of Copper and Cobalt by Spectrophotometry)

  • 김천한;지찬호;성기태;정찬웅
    • 대한화학회지
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    • 제33권2호
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    • pp.208-214
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    • 1989
  • 구리(Ⅱ)와 코발트(Ⅱ)의 테트라 티오시안 착이온은 Amberlite LA 1, Alamine 336 또는 Aliquat 336과 같은 고분자량 알킬아민과 이온쌍 화합물이 형성되면 붉은색과 푸른색을 띠어 파장 480nm와 625nm에서 각각 최대 흡수 봉우리를 나타내므로 같은 조건에서 이들 이온쌍 화합물을 methyl isobutyl ketone으로 동시 추출하여 분광광도법으로 두 금속원소를 동시 정량하는 방법을 기술하였다. 그러나 각 흡수스펙트럼이 서로 조금씩 겹치기 때문에 흡광도로부터 농도를 구하기 위하여는 두개의 연립방정식이 필요했다. Fe(Ⅲ)와 Ni(Ⅱ)은 적은 양이 공존하더라도 구리 정량에 영향을 주었다. 이 동시정량법에 의해서 강철과 광물시료의 분석결과는 구리와 코발트 원소를 각각 분석한 결과와 잘 일치하였다.

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A THERMO-ELASTO-VISCOPLASTIC MODEL FOR COMPOSITE MATERIALS AND ITS FINITE ELEMENT ANALYSIS

  • Shin, Eui-Sup
    • Journal of Theoretical and Applied Mechanics
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    • 제3권1호
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    • pp.45-65
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    • 2002
  • A constitutive model on oorthotropic thermo-elasto-viscoplasticity for fiber-reinforced composite materials Is illustrated, and their thermomechanical responses are predicted with the fully-coupled finite element formulation. The unmixing-mixing scheme can be adopted with the multipartite matrix method as the constitutive model. Basic assumptions based upon the composite micromechanics are postulated, and the strain components of thermal expansion due to temperature change are included In the formulation. Also. more than two sets of mechanical variables, which represent the deformation states of multipartite matrix can be introduced arbitrarily. In particular, the unmixing-mixing scheme can be used with any well-known isotropic viscoplastic theory of the matrix material. The scheme unnecessitates the complex processes for developing an orthotropic viscoplastic theory. The governing equations based on fully-coupled thermomechanics are derived with constitutive arrangement by the unmixing-mixing concept. By considering some auxiliary conditions, the Initial-boundary value problem Is completely set up. As a tool of numerical analyses, the finite element method Is used with isoparametric Interpolation fer the displacement and the temperature fields. The equation of mutton and the energy conservation equation are spatially discretized, and then the time marching techniques such as the Newmark method and the Crank-Nicolson technique are applied. To solve the ultimate nonlinear simultaneous equations, a successive iteration algorithm is constructed with subincrementing technique. As a numerical study, a series of analyses are performed with the main focus on the thermomechanical coupling effect in composite materials. The progress of viscoplastic deformation, the stress-strain relation, and the temperature History are careful1y examined when composite laminates are subjected to repeated cyclic loading.

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The evolution of Magnetic fields in IntraClusterMedium

  • Park, Kiwan;Ryu, Dongsu;Cho, Jungyeon
    • 천문학회보
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    • 제40권1호
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    • pp.49.2-49.2
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    • 2015
  • IntraCluster Medium (ICM) located at the galaxy cluster is in the state of very hot, tenuous, magnetized, and highly ionized X-ray emitting plasmas. High temperature and low density make ICM very viscous and conductive. In addition to the high conductivity, fluctuating random plasma motions in ICM, occurring at all evolution stages, generate and amplify the magnetic fields in such viscous ionized gas. The amplified magnetic fields in reverse drive and constrain the plasma motions beyond the viscous scale through the magnetic tension. Moreover, without the influence of resistivity viscous damping effect gets balanced only with the magnetic tension in the extended viscous scale leading to peculiar ICM energy spectra. This overall collisionless magnetohydrodynamic (MHD) turbulence in ICM was simulated using a hyper diffusivity method. The results show the plasma motions and frozen magnetic fields have power law of $E_V^k{\sim}k^{-3}$, $E_M^k{\sim}k^{-1}$. To explain these abnormal power spectra we set up two simultaneous differential equations for the kinetic and magnetic energy using an Eddy Damped Quasi Normal Markovianized (EDQNM) approximation. The solutions and dimensions of leading terms in the coupled equations derive the power spectra and tell us how the spectra are formed. We also derived the same results with a more intuitive balance relation and stationary energy transport rate.

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Probabilistic damage detection of structures with uncertainties under unknown excitations based on Parametric Kalman filter with unknown Input

  • Liu, Lijun;Su, Han;Lei, Ying
    • Structural Engineering and Mechanics
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    • 제63권6호
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    • pp.779-788
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    • 2017
  • System identification and damage detection for structural health monitoring have received considerable attention. Various time domain analysis methodologies based on measured vibration data of structures have been proposed. Among them, recursive least-squares estimation of structural parameters which is also known as parametric Kalman filter (PKF) approach has been studied. However, the conventional PKF requires that all the external excitations (inputs) be available. On the other hand, structural uncertainties are inevitable for civil infrastructures, it is necessary to develop approaches for probabilistic damage detection of structures. In this paper, a parametric Kalman filter with unknown inputs (PKF-UI) is proposed for the simultaneous identification of structural parameters and the unmeasured external inputs. Analytical recursive formulations of the proposed PKF-UI are derived based on the conventional PKF. Two scenarios of linear observation equations and nonlinear observation equations are discussed, respectively. Such a straightforward derivation of PKF-UI is not available in the literature. Then, the proposed PKF-UI is utilized for probabilistic damage detection of structures by considering the uncertainties of structural parameters. Structural damage index and the damage probability are derived from the statistical values of the identified structural parameters of intact and damaged structure. Some numerical examples are used to validate the proposed method.