• 충청수학회지
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• 제27권1호
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• pp.17-27
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• 2014

In order to study the propagation of singularities for solutions to second order quasilinear strictly hyperbolic equations with boundary, we have to consider the regularity of solutions of first order nonlinear equations satisfied by a characteristic hyper-surface. In this paper, we study the regularity compositions of the form v(${\varphi}$(x), x) with v and ${\varphi}$ assumed to have limited Sobolev regularities and we use it to prove the regularity of solutions of the first order nonlinear equations.

• Ocean and Polar Research
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• 제34권2호
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• pp.265-273
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• 2012

A new algorithm was developed, not only to detect the existence of a thermocline, but also to extract the thermocline parameters (such as thermocline thickness, mixed layer thickness, maximum temperature gradient, and temperature difference of thermocline), using the vertical profile of water temperature. According to Kappa analysis, in order to find adequate threshold values of vertical water temperature gradients ${\Delta}T$ ($^{\circ}C/m$), agreement and reliability were 87% and 0.74 respectively, in the conditions of maximum ${\Delta}T{\geq}0.5$ and surface and bottom layers ${\Delta}T<{\mid}0.2{\mid}$. Also, three different kinds of methods, viz. 1. Gradient method, 2. Hyperbolic tangent method, and 3. Differential hyperbolic tangent method, were tested to extract the key parameters of a thermocline. Comparing the results of three different methods, the differential hyperbolic tangent method was the most appropriate to extract the start and end point of a thermocline curve.

• 에너지공학
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• 제8권4호
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• pp.540-545
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• 1999

고전적인 Fourier 열전도 방정식은 극저온하에서 또는 아주 짧은 시간동안의 가열시 타당성이 없는 것으로 고려되었다. 이러한 조건하에서는 열전도파의 성질이 지배적이기 때문에 , 수정된 Fourier 법칙에 근거한 쌍곡선형 열전도 방정식이 도입되었다. 열전도에 대한 Fourier 모델과 쌍곡선형 열전도모델이 적분변환법과 함께 Green 함수방법을 이용하여 분되었다. 한쪽 표면에서 주기적인 표면가열을 하는 유한한 평판의 열유속 분포 및 온도분포의 해를 제시하였고 각가의 모델로부터 얻어진 결과를 서로 비교검토하였다. 쌍곡선형 열전도 방정식에서 유도된 열전도파는 매개물을 통해 전파되어 맞은편쪽의 단열표면에서 가열 표면쪽으로 반사하였으나 , 고전적인 Fourier 모델에 의한 열은 열적교란이 매개물의 전체에 걸쳐서 전달된 후 즉각적으로 무한한 속도로 열전파가 발생함을 보여주었다.

• Earthquakes and Structures
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• 제14권1호
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• pp.85-94
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• 2018

The paper focuses on the seismic responses of a hyperbolic cooling tower resting on soil foundation represented by the three-parameter Vlasov elastic soil model. The three-parameter soil model eliminates the necessity of field testing to determine soil parameters such as reaction modulus and shear parameter. These parameters are calculated using an iterative procedure depending on the soil surface vertical deformation profile in the model. The soil and tower system are modeled in SAP2000 structural analysis program using a computing tool coded in MATLAB. The tool provides a two-way data transfer between SAP2000 and MATLAB with the help of Open Application Programming Interface (OAPI) feature of SAP2000. The response spectrum analyses of the tower system with circular V-shaped supporting columns and annular raft foundation on elastic soil are conducted thanks to the coded tool. The shell and column forces and displacements are presented for different soil conditions and fixed raft base condition to investigate the effects of soil-structure interaction. Numerical results indicate that the flexibility of soil foundation leads to an increase in displacements but a decrease in shell membrane and column forces. Therefore, it can be stated that the consideration of soil-structure interaction in the seismic response analysis of the cooling tower system provides an economical design process.

• Geomechanics and Engineering
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• 제6권3호
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• pp.277-292
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• 2014

Soil nailing, as an effective stabilizing method for slopes and excavations, has been widely used worldwide. However, the interaction mechanism of a soil nail and the surrounding soil and its influential factors are not well understood. A pullout model using a hyperbolic shear stress-shear strain relationship is proposed to describe the load-deformation behavior of a cement grouted soil nail. Numerical analysis has been conducted to solve the governing equation and the distribution of tensile force along the nail length is investigated through a parametric study. The simulation results are highly consistent with laboratory soil nail pullout test results in the literature, indicating that the proposed model is efficient and accurate. Furthermore, the effects of key parameters, including normal stress, degree of saturation of soil, and surface roughness of soil nail, on the model parameters are studied in detail.

• 대한수학회보
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• 제50권2호
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• pp.441-444
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• 2013

It is shown that any two-dimensional globally hyperbolic spacetime with noncompact Cauchy surfaces has no null cut points.

• 한국산학기술학회논문지
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• 제16권3호
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• pp.2117-2122
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• 2015

한 장의 영상에 보다 많은 영상정보를 담기 위해서는 넓은 시야각이 필요하다. 넓은 시야각을 갖는 영상은 보안, 감시, 원격화상회의, 이동로봇 등의 산업분야에서 사용된다. 본 논문에서는 광각의 파노라마 영상을 획득하기 위해 쌍곡면 실린더형 반사체를 이용한 영상획득 방법을 제안한다. 일반적인 응용 예에서 수직화각 보다 수평화각이 중요하므로 수직방향으로는 평면거울과 같고, 수평방향으로 쌍곡선 형태를 갖는 실린더형 반사체를 설계하였다. 광학적 성능 분석을 위해 광선추적법을 통해 본 쌍곡면 실린더형 반사체 영상계의 영상획득 모델을 구하였으며, 쌍곡면 실린더형 반사체를 실제 제작하였고, 영상 실험을 통해 광각 영상획득 성능을 검증하였다. 제안하는 영상 시스템은 기존 방법에 비해 경제적이며, 별도의 영상처리 없이 수평화각 210도에 이르는 광각의 실시간 파노라마 영상을 획득할 수 있었다.

• 대한수학회지
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• 제45권1호
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• pp.41-61
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• 2008

We study Lorentzian surfaces with the constant Gaussian curvatures or the constant mean curvatures in the 3-dimensional Lorentzian space and their transformations. Such surfaces are associated to the Lorentzian Grassmannian systems and some transformations on such surfaces are given by dressing actions on those systems.

• 대한수학회보
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• 제54권1호
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• pp.159-175
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• 2017

We solve the $Bj{\ddot{o}}rling$ problem for constant mean curvature one surfaces in hyperbolic three-space and in de Sitter three-space. That is, we show that for any regular, analytic (and spacelike in the case of de Sitter three-space) curve ${\gamma}$ and an analytic (timelike in the case of de Sitter three-space) unit vector field N along and orthogonal to ${\gamma}$, there exists a unique (spacelike in the case of de Sitter three-space) surface of constant mean curvature 1 which contains ${\gamma}$ and the unit normal of which on ${\gamma}$ is N. Some of the consequences are the planar reflection principles, and a classification of rotationally invariant CMC 1 surfaces.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2005년도 춘계 학술발표회 논문집
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• pp.583-588
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• 2005

In this study, a concrete faced rockfill dam constructed by stages was numerically analyzed, and the numerical results were compared with in situ measurements. The simple incremental elastic and isotropic hyperbolic model was employed to characterize the nonlinear deformation behavior of rockfill material and computational procedure followed construction sequence. A series of large triaxial tests for rockfill material were carried out to obtain mechanical input parameters. According to the analysis results, relative great additional deformation was introduced at the surface of stage-I dam body due to the loading by stage-II construction. The results reveal that numerical analysis can effectively simulate the construction processes, and some meaningful insights about the behavior of CFRD during construction were gained.