• Title/Summary/Keyword: Method of Difference Analysis

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A Study on Numerical Method for Motion Analysis of Cylindrical Cam with Translate Follower (병진운동용 원통캠기구의 운동해석을 위한 수치해석법 연구)

  • 김상진;신중호;김대원;박세환
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.719-722
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    • 2002
  • Cylindrical cam mechanisms are used commonly in many automatic machinery. But the cylindrical cam is very difficult to design and manufacture the shape. The motion analysis of the cylindrical cam can check the accuracy between designed data and manufactured data of the cam shape and can reproduce without the cam design data. The motion analysis of the cylindrical cam consists of displacement analysis, velocity analysis and acceleration analysis. This paper performs the motion analysis of a cylindrical cam with translating follower by using a relative velocity method and a central difference method. The displacement is calculated by using the central difference method and the velocity is calculated by the relative velocity method. The relative velocity method is defined by the relative motion between follower and cam at a center of a follower roller. The central difference method is derived in the 3 dimensional space.

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2-D Consolidation Numerical Analysis of Multi_Layered Soils (II) (다층 지반의 2차원 압밀 수치해석 II)

  • 류권일;김팔규;구기욱;남상규
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.11a
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    • pp.665-672
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    • 2000
  • The problems of discontinuous layer interface are very important in the algorithm and programming for the analysis of multi-layered consolidation using a numerical analysis, finite difference method(F.D,M.). Better results can be obtained by the process for discontinuous layer interface, since it can help consolidation analysis to model the actual ground Explicit method is simple for analysis algorithm and convenient for use except for applying the operator Crank-Nicolson method represents implicit method, which have different analysis method according to weighting factor. This method uses different algorithm according to dimension. And, this paper uses alternative direction implicit method. The purpose of this paper provides an efficient computer algorithm based on numerical analysis using finite difference method which account for multi-layered soils with confined aquifer to determine the degree of consolidation and excess pore pressures relative to time and positions more realistically.

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Convergence studies on static and dynamic analysis of beams by using the U-transformation method and finite difference method

  • Yang, Y.;Cai, M.;Liu, J.K.
    • Structural Engineering and Mechanics
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    • v.31 no.4
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    • pp.383-392
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    • 2009
  • The static and dynamic analyses of simply supported beams are studied by using the U-transformation method and the finite difference method. When the beam is divided into the mesh of equal elements, the mesh may be treated as a periodic structure. After an equivalent cyclic periodic system is established, the difference governing equation for such an equivalent system can be uncoupled by applying the U-transformation. Therefore, a set of single-degree-of-freedom equations is formed. These equations can be used to obtain exact analytical solutions of the deflections, bending moments, buckling loads, natural frequencies and dynamic responses of the beam subjected to particular loads or excitations. When the number of elements approaches to infinity, the exact error expression and the exact convergence rates of the difference solutions are obtained. These exact results cannot be easily derived if other methods are used instead.

2-D Consolidation Numerical Analysis of Multi_Layered Soils (다층 지반의 2차원 압밀 수치해석)

  • 김팔규;류권일;남상규;이재식
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.03b
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    • pp.467-474
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    • 2000
  • The application of Terzaghi's theory of consolidation for analysing the settlement of multi-layered soils is not strictly valid because the theory involves an assumption that the soil is homogeneous. The settlement of stratified soils with confined aquifer can be analysed using numerical techniques whereby the governing differential equation is replaced by 2-dimensional finite difference approximations. The problems of discontinuous layer interface are very important in the algorithm and programming for the analysis of multi-layered consolidation using a numerical analysis, finite difference method(F.D.M.). Better results can be obtained by the process for discontinuous layer interface, since it can help consolidation analysis to model the actual ground The purpose of this paper provides an efficient computer algorithm based on numerical analysis using finite difference method(F.D.M) which account for multi-layered soils with confined aquifer to determine the degree of consolidation and excess pore pressures relative to time and positions more realistically.

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Dynamic Analysis of MLS Difference Method using First Order Differential Approximation (1차 미분 근사를 이용한 MLS차분법의 동적해석)

  • Kim, Kyeong-Hwan;Yoon, Young-Cheol;Lee, Sang-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.31 no.6
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    • pp.331-337
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    • 2018
  • This paper presents dynamic algorithm of the MLS(moving least squares) difference method using first order differential Approximation. The governing equations are only discretized by the first order MLS derivative approximation. The system equation consists of an assembly of the approximate function, so the shape of system equation is similar to FEM(finite element method). The CDM(central difference method) is used for time integration of dynamic equilibrium equation. The natural frequency analyses of the MLS difference method and FEM are performed, and two analysis results are compared. Also, the accuracy of the proposed numerical method is verified by displaying the dynamic analysis results together with the results by the existing second order differential approximation. In the process of assembling the first order MLS derivative approximation, the oscillation error was suppressed and the stress distribution was interpreted as relatively uniform.

One-node and two-node hybrid coarse-mesh finite difference algorithm for efficient pin-by-pin core calculation

  • Song, Seongho;Yu, Hwanyeal;Kim, Yonghee
    • Nuclear Engineering and Technology
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    • v.50 no.3
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    • pp.327-339
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    • 2018
  • This article presents a new global-local hybrid coarse-mesh finite difference (HCMFD) method for efficient parallel calculation of pin-by-pin heterogeneous core analysis. In the HCMFD method, the one-node coarse-mesh finite difference (CMFD) scheme is combined with a nodal expansion method (NEM)-based two-node CMFD method in a nonlinear way. In the global-local HCMFD algorithm, the global problem is a coarse-mesh eigenvalue problem, whereas the local problems are fixed source problems with boundary conditions of incoming partial current, and they can be solved in parallel. The global problem is formulated by one-node CMFD, in which two correction factors on an interface are introduced to preserve both the surface-average flux and the net current. Meanwhile, for accurate and efficient pin-wise core analysis, the local problem is solved by the conventional NEM-based two-node CMFD method. We investigated the numerical characteristics of the HCMFD method for a few benchmark problems and compared them with the conventional two-node NEM-based CMFD algorithm. In this study, the HCMFD algorithm was also parallelized with the OpenMP parallel interface, and its numerical performances were evaluated for several benchmarks.

Numerical analysis of FGM plates with variable thickness subjected to thermal buckling

  • Bouguenina, Otbi;Belakhdar, Khalil;Tounsi, Abdelouahed;Adda Bedia, El Abbes
    • Steel and Composite Structures
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    • v.19 no.3
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    • pp.679-695
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    • 2015
  • A numerical solution using finite difference method to evaluate the thermal buckling of simply supported FGM plate with variable thickness is presented in this research. First, the governing differential equation of thermal stability under uniform temperature through the plate thickness is derived. Then, the governing equation has been solved using finite difference method. After validating the presented numerical method with the analytical solution, the finite difference formulation has been extended in order to include variable thickness. The accuracy of the finite difference method for variable thickness plate has been also compared with the literature where a good agreement has been found. Furthermore, a parametric study has been conducted to analyze the effect of material and geometric parameters on the thermal buckling resistance of the FGM plates. It was found that the thickness variation affects isotropic plates a bit more than FGM plates.

Analysis of the Impact of Investment in National Fishing Ports on Fishery Income Opportunities Using the Propensity Score Matching Difference-in-difference Method (국가어항 투자의 어업소득 기회 영향 분석: 성향점수매칭 이중차분법을 이용하여)

  • Kim, Bong-Tae
    • The Journal of Fisheries Business Administration
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    • v.53 no.3
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    • pp.85-101
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    • 2022
  • This study analyzed the performance of the national fishing port development project, which lacked ex-post impact evaluation despite a lot of investment in terms of fishery income opportunities. Using micro data from the Census of Agriculture, Forestry, and Fisheries, the sales amount of fishery products and the proportion of fishery-related businesses were used as performance indicators. The fishery households in the fishing port area (treatment group) and those not in the area (control group) were classified through data pre-processing, and factors unrelated to the fishing ports were controlled using the propensity score matching difference-in-difference method. The analysis target is six fishing ports with large investment in from 2010 to 2014. As a result of the analysis, it was confirmed that the sales of fishery products increased significantly in four of the six fishing ports, and the proportion of fishery-related businesses increased in two fishing ports. The analysis method of this study can be fully utilized in the evaluation of the Fishing Community New Deal 300 Project, which is in need of performance analysis.

-A Study on the Computer-Aided Solar Rights Analysis between the Buildings- (컴퓨터를 이용한 건물간의 일조권 분석에 관한 연구)

  • 권혁천;김광우
    • Proceedings of the Korea Society for Energy Engineering kosee Conference
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    • 1993.05a
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    • pp.60-63
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    • 1993
  • The purpose of this study is to evaluate the difference in the solar rights between the suggested alternatives quantatively at the building design stage. To make the analysis method can be applied to any location, the solar rights analysis method utilizing Waldram diagram and solar rights table is suggested, and computerized for an accurate. quick and quantitative analysis. The solar rights analysis for two design alternatives was processed in accordance with the development of the analysis method. The results of the study are : 1) An algorithm to analyze the difference of the solar rights between two design alternatives with the classified codes, was developed. 2) A method to generate the solar rights table to evaluate the difference in solar rights, when two design alternatives was presented on the Waldram diagram was developed and computerized.

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A Generalized Finite Difference Method for Crack Analysis (일반화된 유한차분법을 이용한 균열해석)

  • Yoon, Young-Cheol;Kim, Dong-Jo;Lee, Sang-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.501-506
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    • 2007
  • A generalized finite difference method for solving solid mechanics problems such as elasticity and crack problems is presented. The method is constructed in framework of Taylor polynomial based on the Moving Least Squares method and collocation scheme based on the diffuse derivative approximation. The governing equations are discretized into the difference equations and the nodal solutions are obtained by solving the system of equations. Numerical examples successfully demonstrate the robustness and efficiency of the proposed method.

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