• Title/Summary/Keyword: Discontinuous model

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Nonparametric Estimation of Discontinuous Variance Function in Regression Model

  • Kang, Kee-Hoon;Huh, Jib
    • Proceedings of the Korean Statistical Society Conference
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    • 2002.11a
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    • pp.103-108
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    • 2002
  • We consider an estimation of discontinuous variance function in nonparametric heteroscedastic random design regression model. We first propose estimators of a change point and jump size in variance function and then construct an estimator of entire variance function. We examine the rates of convergence of these estimators and give results on their asymptotics. Numerical work reveals that the effectiveness of change point analysis in variance function estimation is quite significant.

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Definition and measurement of S-curve based technological discontinuity : case of technological substitution of logic semiconductors (S곡선 기반 기술적 불연속성(Technological discontinuity)의 정의 및 측정 : 로직 반도체의 기술대체 사례)

  • Park, Changhyun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.18 no.7
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    • pp.102-108
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    • 2017
  • The phenomenon of technological discontinuity which occurs during technological diffusion and substitution between incumbents and new technology is important to understand the behavior of technology diffusion and substitution of single and multiple technologies. Our research defined the concept of technological discontinuity and developed a model capable of measuring the region of technological discontinuity. Based on a literature review and a model development, we proposed a definition and a model regarding technological discontinuity.The accuracy of the model is verified by applying it on a semiconductor industry case. The technological discontinuity is defined as the region in which both the incumbent and new technology co-exist and the performance of the incumbent technology is better than that of the new technology. In addition, we can model the technological discontinuity using discontinuous time and discontinuous performance. This research will be very useful to understand not only technological discontinuity but also technology diffusion or substitution.

DCM Analysis of Solar Array Regulator for LEO Satellites (저궤도 인공위성용 태양전력 조절기의 전류 불연속 모드 해석)

  • Park, Heesung;Cha, Hanju
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.65 no.4
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    • pp.593-600
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    • 2016
  • The solar array regulator for low earth orbit satellites controls a operating point of solar array for suppling electric power to the battery and the other units. Because the control object is reversed, the new approach for large and small signal analysis is needed despite using buck-converter for power stage. In this paper, the steady state analysis of solar array regulator is performed in continuous conduction mode and discontinuous conduction mode, and the border condition for each mode is established. Also, the small signal model of solar array regulator is established in discontinuous conduction mode. Experiments are carried on in worst condition which the solar array regulator can face with discontinuous conduction mode. The results show that the solar array regulator is in stable.

Effect of discontinuous mixture gas feeding on effective hydrogen production in a steam reformer frommethane (효율적 수소 생산을 위한 메탄 수증기 개질 반응기에서의 불연속적 가스 유입의 영향)

  • Lee, Shin-Ku;Park, Joon-Guen;Lim, Sung-Kwang;Bae, Joong-Myeon
    • 한국신재생에너지학회:학술대회논문집
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    • 2008.10a
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    • pp.25-28
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    • 2008
  • Steam reforming reaction is a matured technology to get hydrogen from hydrocarbon fuels compared with other reforming reactions such as partial oxidation(POX), autothermal reforming(ATR). It is so endothermic that it needs heat source to activate the reaction. Due to the reaction characteristics, heat transfer limitation phenomena generally occur in the steam reformer. As one of new ideas, the effect of discontinuous gas feeding is investigated based on heat transfer characteristics. The new operating method is usually favorable at high GHSV region(i.e. over $10,000h^{-1}$). In order to numerically simulate the physical issues, numerical approach is adopted based on heterogeneous reaction model, two-equation model in energy equation, and other constitutive models in porous media.

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Development of Stochastic Finite Element Model for Underground Structure with Discontinuous Rock Mass Using Latin Hypercube Sampling Technique (LHS기법을 이용한 불연속암반구조물의 확률유한요소해석기법개발)

  • 최규섭;정영수
    • Computational Structural Engineering
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    • v.10 no.4
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    • pp.143-154
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    • 1997
  • Astochastic finite element model which reflects both the effect of discontinuities and the uncertainty of material properties in underground rock mass has been developed. Latin Hypercube Sampling technique has been mobilized and compared with the Monte Carlo simulation method. To consider the effect of discontinuities, the joint finite element model, which is known to be suitable to explain faults, cleavage, things of that nature, has been used in this study. To reflect the uncertainty of material properties, multi-random variables are assumed as the joint normal stiffness and the joint shear stiffness, which could be simulated in terms of normal distribution. The developed computer program in this study has been verified by practical example and has been applied to analyze the circular cavern with discontinuous rock mass.

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A Novel Scheme to Depth-averaged Model for Analyzing Shallow-water Flows over Discontinuous Topography (불연속 지형을 지나는 천수 흐름의 해석을 위한 수심적분 모형에 대한 새로운 기법)

  • Hwang, Seung-Yong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.35 no.6
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    • pp.1237-1246
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    • 2015
  • A novel technique was proposed to calculate fluxes accurately by separation of flow area into a part of step face which is dominated by flow resistance of it and an upper part which is relatively less affected by the step face in analyzing shallow-water flows over discontinuous topography. This technique gives fairly good agreement with exact solutions, 3D simulations, and experimental results. It has been possible to directly analyze shallow-water flows over discontinuous topography by the technique developed in this study. It is expected to apply the developed technique to accurate evaluation of overflows over weirs or retaining walls (riverside roads) and areas flooded by the inundation in the city covered in discontinuous topography.

The continuous-discontinuous Galerkin method applied to crack propagation

  • Forti, Tiago L.D.;Forti, Nadia C.S.;Santos, Fabio L.G.;Carnio, Marco A.
    • Computers and Concrete
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    • v.23 no.4
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    • pp.235-243
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    • 2019
  • The discontinuous Galerkin method (DGM) has become widely used as it possesses several qualities, such as a natural ability to dealing with discontinuities. DGM has its major success related to fluid mechanics. Its major importance is the ability to deal with discontinuities and still provide high order of approximation. That is an important advantage when simulating cracking propagation. No remeshing is necessary during the propagation, since the crack path follows the interface of elements. However, DGM comes with the drawback of an increased number of degrees of freedom when compared to the classical continuous finite element method. Thus, it seems a natural approach to combine them in the same simulation obtaining the advantages of both methods. This paper proposes the application of the combined continuous-discontinuous Galerkin method (CDGM) to crack propagation. An important engineering problem is the simulation of crack propagation in concrete structures. The problem is characterized by discontinuities that evolve throughout the domain. Crack propagation is simulated using CDGM. Discontinuous elements are placed in regions with discontinuities and continuous elements elsewhere. The cohesive zone model describes the fracture process zone where softening effects are expressed by cohesive zones in the interface of elements. Two numerical examples demonstrate the capacities of CDGM. In the first example, a plain concrete beam is submitted to a three-point bending test. Numerical results are compared to experimental data from the literature. The second example deals with a full-scale ground slab, comparing the CDGM results to numerical and experimental data from the literature.

Numerical analysis of shallow-water flow over the square-edged broad-crested weir (직각 광정 위어를 지나는 천수 흐름의 수치 해석)

  • Hwang, Seung-Yong
    • Journal of Korea Water Resources Association
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    • v.55 no.10
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    • pp.811-821
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    • 2022
  • Accuracy of a numerical model with the Hwang's scheme of directly analyzing discontinuous topography could be enhanced by introducing a flux correction coefficient that accounted for the deviation of actual pressure from hydrostatic distribution acting on the front of discontinuous topography. The optimal coefficient was determined from 218 experimental runs for square-edged broad-crested weir and simulation with it showed good agreement with another two square-edged broad-crested weir experiments and an unsteady side-weir experiment. This enabled accurate numerical simulation of shallow-water flow over the discontinuous river structure, such as square-edged broad-crested weir, without alleviating discontinuous topography with refined meshes or imposing internal boundary conditions.

Dynamic responses of structures with sliding base

  • Tsai, Jiin-Song;Wang, Wen-Ching
    • Structural Engineering and Mechanics
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    • v.6 no.1
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    • pp.63-76
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    • 1998
  • This paper presents dynamic responses of structures with sliding base which limits the translation of external loads from ground excitation. A discrete element model based on the discontinuous deformation analysis method is proposed to study this sliding boundary problem. The sliding base is simulated using sets of fictitious contact springs along the sliding interface. The set of contact spring is to translate friction force from ground to superstructure. Validity of the proposed model is examined by the closed-form solutions of an idealized mass-spring structural model subjected to harmonic ground excitation. This model is also applied to a problem of a three-story structural model subjected to the ground excitation of 1940 El Centro earthquake. Analyses of both sliding-base and fixed-base conditions are performed as comparisons. This study shows that using this model can simulate the dynamic response of a sliding structure with frictional cut-off quite accurately. Results reveal that lowering the frictional coefficient of the sliding joint will reduce the peak responses. The structure responses in little deformation, but it displaces at the end of excitation.