• Title/Summary/Keyword: graphical solution

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A solution method of view factor by the area weighted average and graphical methods (면적가중 평균법과 그래프 해법에 의한 형태계수의 해석)

  • 유승호;손장열
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.11 no.6
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    • pp.709-715
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    • 1999
  • To optimize a heating and cooling system, we need an exact solution lot radiant heat transfer in any form of room or building. This paper describes the solution method of view factor by the area weighted average and graphical method to calculate the radiant heat exchange or daylighting level in any form of room or building. This study shows that the area weighted average and graphical methods have many points of merits(calculation speed, correctness and calculation capability in an arbitrary form of room shapes etc.) compared with existing methods

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APPLICATION OF DOUBLE DECOMPOSITION TO PULSATILE FLOW

  • Mamaloukas, C.;Haldar, K.;Mazumdar, H.P.
    • Journal of applied mathematics & informatics
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    • v.10 no.1_2
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    • pp.193-207
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    • 2002
  • The present investigation deals with the pulsatile flow of incompressible viscous fluid through a circular rigid tube provided with constriction. The method applied here is the Decomposition Method, which has been developed by George Adomian [3]. The advantages of this method are the avoidance of simplifications and restrictions, which change the non-linear problem to mathematically tractable one, whose solution is not consistent with physical solution. Theoretically results, such as, wall shear stress and axial velocity component, have been obtained and the graphical solutions of these theoretical results have been shown in the figures.

Assessing Students' Molecular-Level Representations of Solution Chemistry

  • Lee, Soo-Young
    • Journal of The Korean Association For Science Education
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    • v.27 no.8
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    • pp.677-692
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    • 2007
  • In this study, university students were provided with repeated opportunities to represent their ideas graphically, and to examined via their drawings the extent to which they could visualize macroscopic phenomena microscopically. These drawings provided insight into the students' basic understanding of solution chemistry, revealing three conceptual models: the Undifferentiated Symbolic Model, the Particulate Model, and the Symbolic Ionic Model. Generally speaking, students who had poor conceptual understanding tended to exhibit the Undifferentiated Symbolic Model, whereas students with deeper understanding tended to employ the Symbolic Ionic Model. Students' conceptual comprehension was predictable from their graphical representations, which better elucidated what they actually comprehended about the phenomena, as opposed to their ambiguous verbal descriptions alone. The results of this study demonstrated a lack of development in university students' conceptions of solutions. Their weakness in understanding at the molecular-level became more obvious when they were asked to represent their ideas in drawings. Few students exhibited expert knowledge, and several common misconceptions were found, which indicated typical difficulties students have perceiving common phenomena at the molecular level. The findings of this study illustrate how eliciting graphical representations can be used to assess students' conceptual understandings.

Graphical technique for the flutter analysis of flexible bridge

  • Lee, Tzen Chin;Go, Cheer Germ
    • Wind and Structures
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    • v.2 no.1
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    • pp.41-49
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    • 1999
  • The flutter of a bridge is induced by self-excited force factors such as lift, drag and aerodynamic moment. These factors are associated with flutter derivatives in the analysis of wind engineering. The flutter derivatives are the function of structure configuration, wind velocity and response circular frequency. Therefore, the governing equations for the interaction between the wind and dynamic response of the structure are complicated and highly nonlinear. Herein, a numerical algorithm through graphical technique for the solution of wind at flutter is presented. It provides a concise approach to the solution of wind velocity at flutter.

Probabilistic Graphical Model for Transaction Data Analysis (트랜잭션 데이터 분석을 위한 확률 그래프 모형)

  • Ahn, Gil Seung;Hur, Sun
    • Journal of Korean Institute of Industrial Engineers
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    • v.42 no.4
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    • pp.249-255
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    • 2016
  • Recently, transaction data is accumulated everywhere very rapidly. Association analysis methods are usually applied to analyze transaction data, but the methods have several problems. For example, these methods can only consider one-way relations among items and cannot reflect domain knowledge into analysis process. In order to overcome defect of association analysis methods, we suggest a transaction data analysis method based on probabilistic graphical model (PGM) in this study. The method we suggest has several advantages as compared with association analysis methods. For example, this method has a high flexibility, and can give a solution to various probability problems regarding the transaction data with relationships among items.

Elastic Shear Buckling of Transversely Stiffened Orthotropic Web Plates (수직보강된 직교이방성 복부판의 전단탄성좌굴)

  • S.J. Yoon;J.H. Jung
    • Composites Research
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    • v.13 no.5
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    • pp.37-43
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    • 2000
  • In this paper an analytical investigation pertaining to the elastic shear buckling behavior of transversely stiffened orthotropic plate under in-plane shear forces is presented. All edges of plate are assumed to be simply supported and the evenly placed stiffener is considered as a beam element neglecting its torsional rigidity. For the solution of the problem Rayleigh-Ritz method is employed. Using the derived equation, the limit of buckling stress of transversely stiffened plate is suggested as a graphical form. Based on the limit of buckling stress of stiffened plate, graphical form of results for finding the required stiffener rigidity is presented when one and two stiffeners are located, respectively.

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Stress fields on an isotropic semi-infinite plane with a circular hole subjected to arbitrary loads using the constraint-release technique

  • Tsutsumi, Takashi;Sato, Keiji;Hirashima, Ken-Ichi;Arai, Hiroshi
    • Steel and Composite Structures
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    • v.2 no.4
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    • pp.237-246
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    • 2002
  • In this paper, the solution of a semi-infinite plane with one circular hole is presented. This solution is induced by repeatedly superposing the solution of an infinite plane with one circular hole and that of a semi-infinite plane without holes to cancel out the stresses arising on both boundaries. This procedure is carried out until the stresses arising on both boundaries converge. This method does not require complicated calculation procedures as does the method using stress functions defined in a bipolar coordinate system. Some numerical results are shown by graphical representations.

Dynamic simulation models for seismic behavior of soil systems - Part II: Solution algorithm and numerical applications

  • Sahin, Abdurrahman
    • Geomechanics and Engineering
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    • v.9 no.2
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    • pp.169-193
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    • 2015
  • This paper is the second part of the study for determining the seismic behavior of soil systems. The aim of this part is to present solution approaches for determining seismic site amplification. For this purpose, two solution techniques are used. The first technique is equivalent linear analysis which is mostly used in literature. The other technique is real time parameter updating approach and this approach uses the possibilities of Simulink effectively. A graphical user interfaced (GUI) program called DTASSA standing for Discrete-Time Analysis of Seismic Site Amplification is developed. In DTASSA, automatic block diagram producing system is developed and seismic site amplification for multiple soil layers may easily be investigated in real time. Numerical applications have been carried out to check the reliability of developed algorithm. The results of DTASSA are compared with SUA, EERA and NERA programs for the particular example problems.

A NUMERICAL METHOD OF FUZZY DIFFERENTIAL EQUATIONS

  • Jun, Younbae
    • The Pure and Applied Mathematics
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    • v.24 no.3
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    • pp.147-153
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    • 2017
  • In this paper, we propose a numerical method to solve fuzzy differential equations. Numerical experiments show that when the step size is small, the new method has significantly good approximate solutions of fuzzy differential equation. Graphical representation of fuzzy solutions in three-dimension is also provided as a reference of visual convergence of the solution sequence.

Analysis of Crack Growth in the Stiffened Panels by using Finite Element Method (유한요소법을 이용한 보강판의 균열거동해석)

  • 이환우;전원석
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.4
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    • pp.197-202
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    • 2000
  • A simple numerical procedure is presented to determine the stress intensity factors for crack in a stiffened panel subjected to a uniaxial uniform stress normal to the crack. Two types of stiffened panels are analyzed by the finite element method for various values of crack lengths, stiffness ratios, and stiffener spacings. From the finite element solution, the stress intensity factors were determined by using hybrid extrapolation method. Results are presented in graphical forms for upper mentioned parameters.

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