• 대한수학회보
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• 제50권1호
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• pp.201-216
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• 2013

In this note, we consider the Riemann problem for a two-dimensional nonstrictly hyperbolic system of conservation laws. Without the restriction that each jump of the initial data projects one planar elementary wave, six topologically distinct solutions are constructed by applying the generalized characteristic analysis method, in which the delta shock waves and the vacuum states appear. Moreover we demonstrate that the nature of our solutions is identical with that of solutions to the corresponding one-dimensional Cauchy problem, which provides a verification that our construction produces the correct global solutions.

• 산업기술연구
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• 제28권B호
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• pp.91-99
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• 2008

Applicability of existing methods of predicting consolidation settlement was assessed by analyzing results of centrifuge tests modelling self-weight consolidation of soft marine clay. From extensive literature review about self-weight consolidation of soft marine clays located in southern coast in Korea, constitutive relationships of void ratio-effective stress-permeability and typical self-weight consolidation curves with time were obtained by centrifuge model experiments. For the condition of surcharge loading, exact solution of consolidation settlement curve was obtained by Terzaghi's consolidation theory and was compared with the results predicted by currently available methods such as Hyperbolic method, Asaoka's method, Hoshino's method and ${\sqrt{S}}$ method. All methods were found to have their own inherent error to predict final consolidation settlement. From results of analyzing the self-weight consolidation with time by using those methods, Asaoka's method predicted the best. Hyperbolic method predicted relatively well in error range of 2~24% for the case of showing the linearity in the relationship between T vs T/S in the stage of consolidation degree of 60~90 %. For the case of relation curve of T vs $T/S^2$ showing the lineality after the middle stage, error range from Hoshino method was close to those from Hyperbolic method. However, Hoshino method is not able to predict the final settlement in the case of relation curve of T vs $T/S^2$ being horizontal. For the given data about self-weight consolidation after the middle stage, relation curve of T vs T/S from ${\sqrt{S}}$ method shows the better linearity than that of T vs $T/{\sqrt{s}}$ from Hyperbolic method.

• 대한설비공학회지:설비저널
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• 제11권3호
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• pp.9-17
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• 1982

In this paper, temperature distributions in radial fin of hyperbolic profile for steady -state with no heat generation are obtained by one-dimensional analytical method, finite difference method and experiment respectively. Heat flow rate and fin efficiency from the fin model are obtained by analytical method. To compare the exact solutions obtained by theoretical analysis with the results obtained by finite difference method, cylindrical shape is selected. Particularly, equations of finite difference method for cylindrical shape with irregular boundary are rearranged and formulated. Consequently, temperature distributions in radial fin can certify that are similar to exact solutions. From theoretical analysis, the effects according to heat flow rate and fin efficiency are related to variation of parameters which are fin thickness ${\delta}_o$, fin base temperature $T_o$, thermal conductivity K with same basic dimensions and the fleets are studied and compared.

• Structural Engineering and Mechanics
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• 제71권5호
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• pp.459-467
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• 2019

In this paper, hyperbolic shear deformation theory is used for free vibration analysis of piezoelectric rectangular plate made of porous core. Various types of porosity distributions for the porous material is used. To obtain governing equations of motion, Hamilton's principle is used. The Navier's method is used to obtain numerical results of the problem in terms of significant parameters. One can conclude that free vibration responses are changed significantly with change of important parameters such as various porosities and dimensionless geometric parameters such as thickness to side length ratio and ratio of side lengths.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2008년도 춘계학술대회논문집
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• pp.565-567
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• 2008

In the present study, a least square/level set based two-phase flow code has been developed using finite element discretization, which can be utilized for the analysis of a free surface flow problem in a complex geometry. Since the finite element method is employed for the spatial discretization of governing equations, an unstructured mesh can be naturally adopted for the level set simulation of a bubble-in-liquid flow without an additional load for the code development except that solution methods of the hyperbolic type redistancing and advection equations of the level set function should be devised in order to give a bounded solution on the unstructured mesh. For the discretization of hyperbolic type redistancing and advection equations, least square method is adopted. From the numerical experiments of the present study, it is shown that the proposed method is both robust and accurate.

• Geomechanics and Engineering
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• 제9권3호
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• pp.313-328
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• 2015

In the present study, a CPT-based p-y analysis method was proposed for offshore mono-piles embedded in sands. Static and cyclic loading conditions were both taken into account for the proposed method. The continuous soil profiling capability of CPT was an important consideration for the proposed method, where detailed soil profile condition with depth can be readily incorporated into the analysis. The hyperbolic function was adopted to describe the non-linear p-y curves. For the proposed hyperbolic p-y relationship, the ultimate lateral soil resistance $p_u$ was given as a function of the cone resistance, which is directly introduced into the analysis as an input data. For cyclic loading condition, two different cyclic modification factors were considered and compared. Case examples were selected to check the validity of the proposed CPT-based method. Calculated lateral displacements and bending moments from the proposed method were in good agreement with measured results for lateral displacement and bending moment profiles. It was observed the accuracy of calculated results for the conventional approach was largely dependent on the selection of friction angle that is to be adopted into the analysis.

• 도시과학
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• 제9권2호
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• pp.51-56
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• 2020

The installation of soft ground instruments and the performance of measurement and management of the measurement shall be carried out in order to ensure the safety of the construction work and to improve the quality of the construction work. The purpose of the pressure density deposition calculation is to determine the stability of the foundation ground and the formulation by measuring and calculating the density conditions generated on the soil through the period of neglect after completion of the soil at each stage. In practice, it is judged that the analysis by the hyperbolic method can be applied to the safety side.

• Structural Engineering and Mechanics
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• 제55권4호
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• pp.785-799
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• 2015

A three-dimensional (3-D) method of analysis is presented for determining the free vibration frequencies of hyperboloidal shells free at the top edge and clamped at the bottom edge like a hyperboloidal cooling tower by the Ritz method based upon the circular cylindrical coordinate system instead of related 3-D shell coordinates which are normal and tangent to the shell midsurface. The Legendre polynomials are used as admissible displacements. Convergence to four-digit exactitude is demonstrated. Natural frequencies from the present 3-D analysis are also compared with those of straight beams with circular cross section, complete (not truncated) conical shells, and circular cylindrical shells as special cases of hyperboloidal shells from the classical beam theory, 2-D thin shell theory, and other 3-D methods.

• 한국지반공학회논문집
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• 제21권3호
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• pp.141-148
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• 2005

연약지반의 불균질성, 시료의 교란, 토질상수의 입력오차, 압밀이촌의 단점 등으로 예측된 압밀침하량 및 시간은 대부분 실측치와 잘 일치하지 않고 있다. 따라서 압밀기간동안 계측자료를 활용한 침하량 예측기법은 실무에서 매우 유용한 수단이라 할 수 있다. 본 논문에서는 예측기법으로 많이 활용되는 방곡선법, 아사오카범, 호시노법을 비롯한 최근에 제안된 4법의 이론적 공통점을 바탕으로 아사오카법을 제외한 나머지 분석기법들에 대하여 일반화된 쌍곡선 형태의 수식화 작업으로 새로운 분석 기법을 제안하였으며, 사례를 통하여 유용한 계측분석기법으로 적용성을 확인하였다.

• 한국재난정보학회 논문집
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• 제17권4호
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• pp.786-793
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• 2021

연구목적: 실트질 함유가 높으며 다양한 응력이력 때문에 침하량 예측에 어려움이 있는 우리나라의 서해안 중부지역의 연약점토지반의 침하량 특성을 분석하기 위하여 실험을 실시하였다. 연구방법: 3개의 경우에 대한 현장실험을 실시하였다. 각각의 경우에 대하여 침하판 침하량을 계측하였으며 Terzaghi의 일차원 압밀침하량, 쌍곡선법(hyperbolic method)과 Asaoka법을 모두 분석하여 실무에 유용한 결론을 도출하였다. 연구결과: Terzaghi에 의한 예측값이 모든 경우에서 가장 큰 것으로 분석되었으며 침하판 침하값에 비하여 111%~187%로 크게 예측하였다. 즉, 실제 지반의 침하량인 침하판 침하값이 Terzaghi의 예측값에 비하여 53.4~89.9% 의 침하를 나타내었다. 따라서, 우리나라 중부 서해안 점토질 연약지반에서 Terzaghi방법에 의한 예상침하량은 실제 침하량보다 과다하게 예상하는 것으로 분석되었다. 결론: Asaoka방법과 쌍곡선 방법은 비교적 유사한 결과를 제시한 것으로 분석되었으며, 실무에서는 실제 침하량 보다 작게 침하량을 예측할 경우 위험을 초래할 수 있으므로 실제 침하량보다 6~14% 크게 예측한 쌍곡선 분석법이 안전측으로 사용될 수 있을 것으로 판단된다.