• Structural Engineering and Mechanics
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• 제56권4호
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• pp.605-623
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• 2015

A formulation of the boundary element method (BEM) based on Kirchhoff's hypothesis to analyse stiffened plates composed by beams and slabs with different materials is proposed. The stiffened plate is modelled by a zoned plate, where different values of thickness, Poisson ration and Young's modulus can be defined for each sub-region. The proposed integral representations can be used to analyze the coupled stretching-bending problem, where the membrane effects are taken into account, or to analyze the bending and stretching problems separately. To solve the domain integrals of the integral representation of in-plane displacements, the beams and slabs domains are discretized into cells where the displacements have to be approximated. As the beams cells nodes are adopted coincident to the elements nodes, new independent values arise only in the slabs domain. Some numerical examples are presented and compared to a wellknown finite element code to show the accuracy of the proposed model.

• Coupled systems mechanics
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• 제5권4호
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• pp.371-393
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• 2016

We propose a heat jet approach for a two-dimensional square lattice with nearest neighbouring harmonic interaction. First, we design a two-way matching boundary condition that linearly relates the displacement and velocity at atoms near the boundary, and a suitable input in terms of given incoming wave modes. Then a phonon representation for finite temperature lattice motion is adopted. The proposed approach is simple and compact. Numerical tests validate the effectiveness of the boundary condition in reflection suppression for outgoing waves. It maintains target temperature for the lattice, with expected kinetic energy distribution and heat flux. Moreover, its linear nature facilitates reliable finite temperature atomic simulations with a correct description for non-thermal motions.

• International Journal of Computer Science & Network Security
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• 제21권12호
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• pp.223-227
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• 2021

A treatment based on the algebraic operations on fuzzy numbers is used to replace the fuzzy problem into an equivalent crisp one. The finite difference technique is used to replace the continuous boundary value problem (BVP) of arbitrary order 1<α≤2, with fuzzy boundary parameters into an equivalent crisp (algebraic or differential) system. Three numerical examples with different behaviors are considered to illustrate the treatment of the singular perturbed case with different fractional orders of the BVP (α=1.8, α=1.9) as well as the classical second order (α=2). The calculated fuzzy solutions are compared with the crisp solutions of the singular perturbed BVP using triangular membership function (r-cut representation in parametric form) for different values of the singular perturbed parameter (ε=0.8, ε=0.9, ε=1.0). Results are illustrated graphically for the different values of the included parameters.

• 천문학회보
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• 제44권2호
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• pp.69.2-69.2
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• 2019

To construct a coronal force-free magnetic field, we must impose the boundary normal current density (or three components of magnetic field) as well as the boundary normal field at the photosphere as boundary conditions. The only method that is known to implement these boundary conditions exactly is the method devised by Grad and Rubin (1958). However, the Grad-Rubin method and all its variations (including the fluxon method) suffer from convergence problems. The magnetofrictional method and its variations are more robust than the Grad-Rubin method in that they at least produce a certain solution irrespective of whether the global solution is compatible with the imposed boundary conditions. More than often, the influence of the boundary conditions does not reach beyond one or two grid planes next to the boundary. We have found that the 2D solenoidal gauge condition for vector potentials allows us to implement the required boundary conditions easily and effectively. The 2D solenoidal condition is translated into one scalar function. Thus, we need two scalar functions to describe the magnetic field. This description is quite similar to the Chandrasekhar-Kendall representation, but there is a significant difference between them. In the latter, the toroidal field has both Laplacian and divergence terms while in ours, it has only a 2D Laplacian term. The toroidal current density is also expressed by a 2D Laplacian. Thus, the implementation of boundary normal field and current are straightforward and their effect can permeate through the whole computational domain. In this paper, we will give detailed math involved in this formulation and discuss possible lateral and top boundary conditions and their meanings.

• 방송공학회논문지
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• 제14권3호
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• pp.322-331
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• 2009

본 논문은 윤곽선 기반 메쉬 최적화를 이용한 스테레오 영상의 효율적인 데이터 표현 방법을 제안한다. 스테레오 영상에 대한 메쉬 기반 2차원 워핑은 주로 제어점 선택과 선택된 제어점들의 시차 정보 추정 성능에 의존한다. 따라서 제안된 방법은 제어점 선택을 위하여 강한 윤곽선과 객체의 경계선만으로 구성된 특징 지도를 생성하고 이를 기반으로 격자형 메쉬를 생성한다. 또한, 지역단위로 2차원 워핑을 수행하며 목적영상과의 오차를 최소로 하는 제어점의 위치를 반복적으로 추정하게 된다. 최적화된 제어점 위치를 찾기 위한 반복적 2차원 워핑 과정은 많은 계산 시간을 요구하기 때문에 이를 개선하기 위하여 입력된 스테레오 영상은 수평 시차만 존재하고 최적의 제어점 위치는 객체의 경계선을 포함한 윤곽선 위에 존재함을 가정한다. 따라서 제안한 윤곽선 기반 워핑 방법은 수평선 위에 윤곽선만을 따라 반복적으로 최적화된 제어점 위치를 탐색한다. 본 논문의 실험에서는 스테레오 영상에 대하여 제어점 수에 따른 신호에 대한 잡음비(PSNR)를 측정하여 기존 방법과 제안한 방법의 품질을 비교 하였다. 뿐만 아니라 최적의 메쉬 생성을 위한 수행시간을 비교하여 평가하였다. 실험 결과를 통하여 제안한 방법은 적은 수의 제어점을 이용하여 품질의 저하를 줄이고 빠르게 최적의 메쉬를 생성함으로써 효율적인 스테레오 영상 표현 방법을 제공하였다.

• 한국CDE학회논문집
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• 제18권3호
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• pp.234-242
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• 2013

Different CAD systems are used in ship outfitting design on different usage and purpose. Therefore, data exchanges between CAD systems are required from different formats. For data exchange, boundary representation standard formats such as IGES and ISO 10303 (STEP) are widely used. However, they present only B-rep representation. Because of different CAD systems have their own geometry format, data exchanges with design intend are difficult. Especially, Tribon and PDMS use primitives for express their geometry in ship outfitting design. However, Tribon primitives are represented their parameter by values that are non-parametric. Therefore, data size of catalogue library is bigger than different CAD system using parametric primitive representation. And that system has difficulty on data reprocessing. To solve that problem, we discuss about shape DB which contains design parameters of primitive for exchange Tribon primitives. And geometry data exchange between Tribon and Shape Database that defines based on PDMS scheme are specified using primitive mapping that can represent design intend.

• 한국공간구조학회논문집
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• 제5권4호
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• pp.53-59
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• 2005

이 논문은 경계조건에 따른 판구조물의 최적두께분포 변화에 대한 연구결과를 기술하였다. 본 연구에서는 최소화하고자하는 변형에너지를 목적함수로 하고 구조물의 초기 부피 값을 제약조건으로 사용하였다. 판구조물의 두께분포를 표현하기 위하여 쿤이 개발한 조각 면을 이용하였다. 판의 변형에너지를 정확히 계산하기 위하여 퇴화 쉘 요소를 도입하였으며 반복계산을 통하여 최적의 두께분포를 검색하기 위하여 최적화검색기 DOT를 도입하였다. 마지막으로 경계조건에 따른 판의 최적두께 분포에 대한 정량적인 수치해석결과를 제공하기 위하여 정사각형 판을 최적화에 채용하고 그 결과를 자세히 기술하였다.

• 말소리와 음성과학
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• 제9권4호
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• pp.19-25
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• 2017

The current study focused on the production of geminate nasal consonants across different word boundary types in Korean as a function of speech style to investigate whether temporal properties are preserved across varying speaking rates. Assimilated geminates in Korean, known as true geminates, are produced with distinctively longer consonant duration compared to singletons. Despite a large body of literature for geminates across different languages, geminates in Korean have been relatively less investigated with respect to the durational patterns in relative terms and temporal variabilities. In this study, singletons, word-internal geminates and word-boundary (fake) geminates produced by ten native Seoul Korean speakers were compared in terms of absolute consonant closure duration, preceding vowel duration, the relative ratios (consonant-to-preceding vowel duration) as well as the temporal variabilities in speech production. The results showed that word-internal geminates were produced with longer consonant duration and greater temporal variabilities than singletons and word-boundary geminates in absolute duration, indicating relatively greater flexibility in timing. However, only word-internal geminates were produced with distinctively longer consonant duration with significantly lower variability in relative duration regardless of speech styles. The results provide some insight into the representation of temporal information in the production of Korean geminate consonants.

• 대한기계학회논문집B
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• 제24권5호
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• pp.733-743
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• 2000

We solve the integral representation of the Navier-Stokes equations in a lagrangian view by tracking the particles, which have vortex strengths. We simulate the unsteady viscous flow around an impulsively started cylinder using the vortex particle method. Particles are advanced via the Biot-Savart law for a lagrangian evolution of particles. The particle strength is modified based on the scheme of particle strength exchange. The solid boundary satisfies the no-slip boundary condition by the vorticity generation algorithm. We newly modify the diffusion scheme and the boundary condition for simulating an unsteady flow efficiently. To save the computation time, we propose the mixed scheme of particle strength exchange and core expansion. We also use a lot of panels to ignore the curvature of the cylinder, and not to solve the evaluation of the surface density. Results are compared to those from other theoretical and experimental works.

• 한국CDE학회논문집
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• 제1권1호
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• pp.76-83
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• 1996

A three dimensional FE mesh generation scheme based on mapping approach is proposed in this study. A volume in Eucledian space is represented by composite hyperpatches which are piecewise cubic functions in parameters u, v, w. A key idea in the proposed approach is that I sampled grid data points lying only on the boundary surfaces are needed for the shape representation. Inner points which are necessary to form a hyperpatch are internally generated by Coons patches. This approach is most appropriate for the shapes which are compositions of hexahedronlike shapes and also severely curved.