• Title/Summary/Keyword: c-continuity

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Study on Application of Isogeometric Analysis Method for the Dynamic Behavior Using a Reduced Order Modeling (축소 모델의 동적 거동 해석을 위한 등기하해석법 적용에 대한 연구)

  • Kim, Min-Geun;Kim, Soo Min;Lee, Geun-Ho;Lee, Hanmin
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.31 no.5
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    • pp.275-282
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    • 2018
  • Using isogeometric analysis(IGA) gives more accurate results for higher order mode in eigenvalue problem than using the finite element method(FEM). This is because the FEM has $C^0$ continuity between elements, whereas IGA guarantee $C^{P-1}$ between elements for p-th order basis functions. In this paper, a mode based reduced model is constructed by using IGA and dynamic behavior analysis is performed using this advantage. Craig-Bampton(CB) method is applied to construct the reduced model. Several numerical examples were performed to compare the eigenvalue analysis results for various order of element basis function by applying the IGA and FEM to simple rod analysis. We have confirmed that numerical error increases in the higher order mode as the continuity between elements decreases in the IGA by allowing internal knots multiplicity. The accuracy of the solution can be improved by using the IGA with high inter-element continuity when high-frequency external force acts on the reduced model for dynamic behavior analysis.

An Institutional Analysis of the Large Scale National R&D Policy: Continuity and Change of Institutions (대형국가연구개발사업 정책의 제도적 분석: 정책제도의 지속과 변화)

  • Yeom, Jae-Ho;Lee, Min-Ho
    • Journal of Korea Technology Innovation Society
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    • v.15 no.1
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    • pp.129-162
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    • 2012
  • This study analyzed the institutional characteristics of large scale national R&D policies in Korea. The analysis examined the continuity and change of the policy institution. It dealt with G7 Project, 21C Frontier Project, and Next Generation Growth Engine Project as the major large scale national R&D policies in Korea. The theoretical approach of this study is to the continuity and change or evolution of policy institution from the perspective of new institutionalism. Based on the theoretical analysis, it emphasized the analysis of the institutions in three different levels: macro, meso, and micro level. In the analysis, the research examined the idea of policy institution or policy goal, participants in the policy institution, and policy instruments in different levels. The outcome of the analysis shows that the policy of large scale national R&D in Korea has the institutional continuity in the macro level. In the meso level, however, the policy institution changes due to the administration change and the influence of political economic environment. In the micro level, the policy institution changes based on the symbolic influence of policy goal and the interest of bureaucrats. The research finds that the micro and meso level institutional changes cause the evolution of policy institutions and the major change of policy institution.

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Numerical Simulation on the Free Surface using implicit boundary condition (내재적 경계 조건을 이용한 자유표면 유동 수치해석)

  • Lee G. H.;Baek J. H.
    • Journal of computational fluids engineering
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    • v.4 no.1
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    • pp.19-26
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    • 1999
  • This paper describes a numerical method for predicting the incompressible unsteady laminar three-dimensional flows with free-surface. The Navier-Stokes equations governing the flows have been discretized by means of finite-difference approximations, and the resulting equations have been solved via the SIMPLE-C algorithm. The free-surface is defined by the motion of a set of marker particles and the interface behaviour was investigated by means of a "Lagrangian" technique. Using the GALA concept of Spalding, the conventional mass continuity equation is modified to form a volumetric or bulk-continuity equation. The use of this bulk-continuity relation allows the hydrodynamic variables to be computed over the entire flow domain including both liquid and gas regions. Thus, the free-surface boundary conditions are imposed implicitly and the problem formulation is greatly simplified. The numerical procedure is validated by comparing the predicted results of a periodic standing waves problems with analytic solutions. The results show that this numerical method produces accurate and physically realistic predictions of three-dimensional free-surface flows.

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Dynamic Analysis of Laminated Composite and Sandwich Plates Using Trigonometric Layer-wise Higher Order Shear Deformation Theory

  • Suganyadevi, S;Singh, B.N.
    • International Journal of Aerospace System Engineering
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    • v.3 no.1
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    • pp.10-16
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    • 2016
  • A trigonometric Layerwise higher order shear deformation theory (TLHSDT) is developed and implemented for free vibration and buckling analysis of laminated composite and sandwich plates by analytical and finite element formulation. The present model assumes parabolic variation of out-plane stresses through the depth of the plate and also accomplish the zero transverse shear stresses over the surface of the plate. Thus a need of shear correction factor is obviated. The present zigzag model able to meet the transverse shear stress continuity and zigzag form of in-plane displacement continuity at the plate interfaces. Hence, botheration of shear correction coefficient is neglected. In the case of analytical method, the governing differential equation and boundary conditions are obtained from the principle of virtual work. For the finite element formulation, an efficient eight noded $C^0$ continuous isoparametric serendipity element is established and employed to examine the dynamic analysis. Like FSDT, the considered mathematical model possesses similar number of variables and which decides the present models computationally more effective. Several numerical predictions are carried out and results are compared with those of other existing numerical approaches.

THE SIMULTANEOUS APPROXIMATION ORDER BY NEURAL NETWORKS WITH A SQUASHING FUNCTION

  • Hahm, Nahm-Woo
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.4
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    • pp.701-712
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    • 2009
  • In this paper, we study the simultaneous approximation to functions in $C^m$[0, 1] by neural networks with a squashing function and the complexity related to the simultaneous approximation using a Bernstein polynomial and the modulus of continuity. Our proofs are constructive.

A REMARK ON CONVERGENCE THEORY FOR ITERATIVE PROCESSES OF PROINOV CONTRACTION

  • Bisht, Ravindra K.
    • Communications of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.1157-1162
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    • 2019
  • In this paper, we extend the study of general convergence theorems for the Picard iteration of Proinov contraction from the class of continuous mappings to the class of discontinuous mappings. As a by product we provide a new affirmative answer to the open problem posed in [20].

A KOROVKIN TYPE APPROXIMATION THEOREM FOR DOUBLE SEQUENCES OF POSITIVE LINEAR OPERATORS OF TWO VARIABLES IN A-STATISTICAL SENSE

  • Demirci, Kamil;Dirik, Fadime
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.4
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    • pp.825-837
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    • 2010
  • In this paper, we obtain a Korovkin type approximation theorem for double sequences of positive linear operators of two variables from $H_w$ (K) to C (K) via A-statistical convergence. Also, we construct an example such that our new approximation result works but its classical case does not work. Furthermore, we study the rates of A-statistical convergence by means of the modulus of continuity.

Assessment of Appropriate Period and Cost(P&C) of Repair and Improvement for Irrigational Structures (논문 - 수리시설물의 적정개보수 주기 및 비용 산정)

  • Lee, Joon-Gu;Kim, Myong-Won;Shin, Tae-Ho
    • KCID journal
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    • v.18 no.2
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    • pp.142-160
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    • 2011
  • This study was performed to apply the preventive management technique that is known for more economic and preventive for disaster than corrective technique to Repair & Improvement(R&I) Project policy of irrigational facilities. The appropriate periods of R&I Project had been driven to 40yrs, 24yrs, 27yrs, and 29yrs for reservoir, Pumping and drainage pumping station, Diversion weir and Irrigation & drainage canal respectively. The cost of R&I Project for 10 years had been estimated as 616.9 billion won per year including the 85 billion won for the project of 'Disaster prevention and Function continuity'. After the period of 'Improvement all at once', about 30yrs, 421.8 billion won was requested for 'Function continuity'.

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Numerical Study on The Performance of Annular Jet Pump (환형제트펌프의 수치적 성능해석)

  • Kwon, O.B.;Kwon, H.C.
    • Journal of Power System Engineering
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    • v.5 no.1
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    • pp.50-56
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    • 2001
  • Jet pumps are used in a great number of engineering applications. In the present study, jet shapes, mixing chamber shapes, and numerical methods for predicting the performance of an annular-type jet pump are investigated to determine the optimal turbulence model. The flow fields are simulated by solving the momentum and the continuity equations with the standard ${\kappa}-{\epsilon}$ and the RNG ${\kappa}-{\epsilon}$ turbulence models at different Reynolds numbers. After that, they are compared with the corresponding experimental data to determine the optimal model. Next, various calculations are conducted to find an optimal shape using the selected turbulence model. The study shows us that the RNG ${\kappa}-{\epsilon}$ model predicts the performance more exactly, and also shows that the most effective performance can be achieved with $12^{\circ}$ reducing angle and 130mm throat length.

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Landscape Structure Analysis Based on Insect Spatial Distribution in Rural Area (곤충류 공간 분포를 활용한 농경지 경관구조 분석)

  • Lee, Dong-Kun;Yoon, Eun-Joo;Bae, Jung-Hoon
    • Journal of Korean Society of Rural Planning
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    • v.14 no.1
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    • pp.23-32
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    • 2008
  • Landscape structure is important to understand a complex patterns and interaction with adjacent habitat in rural area. The aim of this study is to analyze relationship between landscape structure and insect spatial distribution in rural area to suggest applicable possibility of landscape structure as biological indicator. For this purpose, first, four landscape structure criteria such as distance from the forest; density of farmland-forest ecotone; landscape continuity; and field size are selected. Secondly, these criteria are applied to Gangsang-myeon, Yangpyeong-gun where mosaic feature are conserved at various spatial scale. Thirdly, application of landscape structure criteria is verified using correlation with species number, species diversity, and species richness of insect. As a result, it could be suggested that the landscape structure criteria are useful for explaining insect spatial distribution.