• Journal of the Korean Society for Railway
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• v.9 no.1 s.32
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• pp.7-11
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• 2006

Ballast is an important component of railway track structures. The granular ballast can be modelled using [mite or discrete element methods. The DE method has advantages to enable us to analyze the microstructure of granular materials and to exhibit information which cannot be assessed using FE methods. In this paper, sleeper, the ballast, and ballast mat in the high-speed railroad line are modelled using two-dimensional discrete circle and line elements. The stress transferred from the sleeper via the ballast to the subgrade is analyzed. In addition, the shape and angle of stress distribution of ballast bed is evaluated with different boundary conditions for the high-speed railroad line.

• Proceedings of the Earthquake Engineering Society of Korea Conference
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• 2002.09a
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• pp.147-154
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• 2002

Dynamic response analysis are conducted for a floating bridge subjected to multiple support earthquake excitation. The floating bridge used in this study is supported by discrete floating pontoons and horizontal pretension cables supported at both ends of the bridge. The bridge is modeled with finite elements and the hydrodynamic added mass and added damping due to the surrounding fluid around pontoons are obtained using boundary elements. Multiple support excitation is introduced at both ends of the bridge and the time history response is compared to that of a simultaneous excitation. The results shows that the differences between two results are not so large except for cable tension for which the multiple support excitation yields larger values. During the analysis the concept of retardation function is utilized to consider the frequency dependency of the hydrodynamic coefficients.

• Proceedings of the Korean Society for Agricultural Machinery Conference
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• 2000.11b
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• pp.117-123
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• 2000

Using the modified DEM (Discrete Element Method), which we proposed in order to improve the accuracy of the simulation, soil behavior and reaction by lugs of rotating wheel and a soil cutting process by a high speed blade were calculated and compared with experimental data. The DEM is one of computational mechanics, where the object body is supposed as an assembly of small particles called elements and not a continuum as in the case of FEM. We can easily treat some discrete phenomena such as cracking, separating and sliding by the DEM. We had to modify the original mechanical model, which induced too free movement of elements, adding a tension spring, which would display the role of soil adhesion. The results of DEM simulations were successful from both the soil behavior and reaction points of view.

• Proceedings of the KSR Conference
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• 2005.11a
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• pp.878-883
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• 2005

Sleeper, the ballast, and ballast mat in the high-speed railroad line are modelled using a two-dimensional discrete element method to generate circle and line elements. Stress transfer mechanism from the sleeper to the subgrade via the ballast is analyzed. The behavior of ballast bed of the high-speed railroad line is also accessed with the model.

• Journal of the Korean Statistical Society
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• v.15 no.1
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• pp.71-78
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• 1986

In this paper, multivariate discrete distribution is dealt with, where a set of r distinct counts are misreported as another set of r counts. First, the variance for the one variable marginal case is expressed in the form of an inverted parabola. Next, for the multivariate negative binomial case, elements of the covariance matrix are evaluated with reference to asymptotic distributions. Finally, for the same case of multivariate negative binomial, Bayesian estimates of the parameters and of the modification rates are provided.

• Computers and Concrete
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• v.2 no.5
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• pp.345-366
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• 2005

This work presents an assessment of the computational performance of a vector-parallel implementation of probabilistic model for concrete cracking in 3D. This paper shows the continuing efforts towards code optimization as reported in earlier works Paz, et al. (2002a,b and 2003). The probabilistic crack approach is based on the direct Monte Carlo method. Cracking is accounted by means of 3D interface elements. This approach considers that all nonlinearities are restricted to interface elements modeling cracks. The heterogeneity governs the overall cracking behavior and related size effects on concrete fracture. Computational kernels in the implementation are the inexact Newton iterative driver to solve the non-linear problem and a preconditioned conjugate gradient (PCG) driver to solve linearized equations, using an element by element (EBE) strategy to compute matrix-vector products. In particular the paper analyzes code behavior using OpenMP directives in parallel vector processors (PVP), such as the CRAY SV1 and CRAY T94. The impact of the memory architecture on code performance, and also some strategies devised to circumvent this issue are addressed by numerical experiment.

• East Asian Journal of Business Economics (EAJBE)
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• v.8 no.4
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• pp.67-77
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• 2020

Purpose - This work tries to analyze the transformation of sectoral innovation pattern as time goes by to enhance the understanding on sectoral innovative activities, particularly considering the change of the nature of knowledge, and the trend of convergence. Research design, data, and methodology - This work tries to identify main factors, which determine the output of technological innovation through the econometric analysis, utilizing the result of Korean Innovation Survey and find a stylized fact on the change of the innovation pattern. Result - As a result of estimation, some major elements show different effects for two discrete years, 2002 and 2010; in chemical industry the open information source and neutral basic research become more important with the appropriation mechanism such as patents, and in machinery industry, the importance of internal information has been getting decreased with rising importance of customers. Conclusion - This work presents that some elements show different effects for two discrete years. Among three major elements, the source of information and appropriation mechanism shows different features for both industries. This means that we should explicit consider the changing nature of innovative environment, which leads to and heavily influence whether the innovative activity would be effective or not when we design innovation strategy and innovation policy.

• Structural Engineering and Mechanics
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• v.16 no.6
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• pp.713-730
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• 2003

This paper contains the results of the study on the development of fracture and crack propagation in quasi-brittle materials, such as concrete or rocks, using the Discrete Element Method (DEM). A new discrete element numerical model is proposed as the basis for analyzing the inelastic evolution and growth of cracks up to the point of gross material failure. The model is expected to predict the fracture behavior for the quasi-brittle material structure using the elementary aggregate level, the interaction between aggregate materials, and bond cementation. The algorithms generate normal and shear forces between two interfacing blocks and contains two kinds of contact logic, one for connected blocks and the other one for blocks that are not directly connected. The Mohr-Coulomb theory has been used for the fracture limit. In this algorithm the particles are moving based on the connected block logic until the forces increase up to the fracture limit. After passing the limit, the particles are governed by the discrete block logic. In setting up a discrete polygon element model, two dimensional polygons are used to investigate the response of an assembly of different shapes, sizes, and orientations with blocks subjected to simple applied loads. Several examples involving assemblies of particles are presented to show the behavior of the fracture and the failure process.

• Nuclear Engineering and Technology
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• v.52 no.6
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• pp.1137-1147
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• 2020

The discrete ordinates method (S_N) is one of the major shielding calculation method, which is suitable for solving deep-penetration transport problems. Our objective is to explore the available quadrature sets and to improve the accuracy in shielding problems involving strong anisotropy. The linear discontinuous finite-element (LDFE) quadrature sets based on the icosahedron (in short, ICLDFE quadrature sets) are developed by defining projected points on the surfaces of the icosahedron. Weights are then introduced in the integration of the discontinuous finite-element basis functions in the relevant angular regions. The multivariate secant method is used to optimize the discrete directions and their corresponding weights. The numerical integration of polynomials in the direction cosines and the Kobayashi benchmark are used to analyze and verify the properties of these new quadrature sets. Results show that the ICLDFE quadrature sets can exactly integrate the zero-order and first-order of the spherical harmonic functions over one-twentieth of the spherical surface. As for the Kobayashi benchmark problem, the maximum relative error between the fifth-order ICLDFE quadrature sets and references is only -0.55%. The ICLDFE quadrature sets provide better integration precision of the spherical harmonic functions in local discrete angle domains and higher accuracy for simple shielding problems.

• Journal of the Korean School Mathematics Society
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• v.23 no.1
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• pp.89-109
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• 2020

This study aims to improve teacher education by analyzing the causes and backgrounds of which pre-service mathematics teachers experience learning difficulties on the topic of discrete mathematics. To this end, we conducted a questionnaire and an evaluation on the topic of discrete mathematics, and the obtained data were analyzed. The results show that (1) pre-service mathematics teachers need to share their perceptions of the need for discrete mathematics education; (2) a review of the adequacy of the discrete mathematical content and its credits are required; (3) the causes of their learning difficulties need to be looked at from a different perspective than the learning factors. And two implications were obtained. First, it is necessary to study the systematicity and sequence of content elements of discrete mathematics in the aspect of its continuity of curriculum of secondary school and university. Second, it is required consideration for adjusting the ratio of discrete mathematics to secondary teachers' employment examination.