• Communications for Statistical Applications and Methods
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• 제3권2호
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• pp.283-290
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• 1996

For finite discrete distributions with prescribed moments, there is a well-known upper bound on the index of the support. In this paper, we are interested in the smoothest density with prescribed moments among the class of smooth functions. We define an index of continuous distribution through the support and derive an upper bound on the index of the smoothest density. Some examples are given, some of which achieve the upper bound.

• 대한수학회보
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• 제53권2호
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• pp.441-460
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• 2016

We introduce the notions of h-v-semi-slant submersions and almost h-v-semi-slant submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds. We obtain characterizations, investigate the integrability of distributions, the geometry of foliations, and a decomposition theorem. We find a condition for such submersions to be totally geodesic. We also obtain an inequality of a h-v-semi-slant submersion in terms of squared mean curvature, scalar curvature, and h-v-semi-slant angle. Finally, we give examples of such maps.

• Journal of Radiation Protection and Research
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• 제17권1호
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• pp.43-56
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• 1992

입자 수송방정식에서 각변수(angular variable)를 각분할근사법으로 해석할 때 나타나는 이상 현상인 ray effect를 치유할 수 있는 방법의 하나로써, 유한 분할각(discrete angle quadrature)을 입자속의 공간적 분포로써 조종하는 방법인 각분할요소법 (discrete elements method)을 근거로 하여 2차원 직각좌표계에서의 입자 수송 해석 프로그램(TWODET)을 개발하였다. 평판형 등방적 고정선원이 존재하는 균질 사각형 흡수체에 대해 TWODET로 해석한 결과, 각 요소가 K-2, L인 경우에도 DOT 4.3(S-10)에서보다 ray effect 치유에 더 효과가 있음을 확인하였다. 그러나, 계산시간은 기존의 각분할법에서보다 약 4배 더 소비되었다. 선원에서 바로 진공(vacuum boundary)으로 떨어지는 구조의 경우, TWODET의 결과에서도 심한 왜곡을 보이고 있는데 선원과 바로 이웃한 진공간의 급격한 불연속성으로 인함으로 추측된다 고정선원이 있는 매질에 강한 흡수체가 추가된 구조의 경우에서도 TWODET(K-3, L-4)로 DOT 4.3(S-10)보다 좋은 결과를 보였다.

• 대한기계학회논문집A
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• 제36권8호
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• pp.921-927
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• 2012

신뢰성 기반 최적설계는 설계변수들의 변동을 평균이나 분산 등의 통계적 특성으로 고려하여 설계자가 원하는 신뢰도를 만족하는 해를 구한다. 신뢰도를 구하기 위한 기존의 신뢰성해석 기법들은 변수들이 연속함수로 정의되는 특정 확률분포를 따른다는 가정을 하지만 실제 문제에서 변수들은 한정적인 이산정보의 형태인 경우가 많기 때문에 변수들에 대한 가정을 하지 않고 이산정보로부터 신뢰성해석을 수행하는 것은 매우 중요하다. 본 연구에서는 후보 분포들 중에서 이산정보를 가장 잘 추정하는 분포를 결정하는 기법인 Akaike 정보척도를 이용하여 신뢰성해석 및 신뢰성 기반 최적설계를 수행하는 기법을 제안한다. 수학예제를 통해 정확성을 검증하고 철도차량 용접대차의 신뢰성 기반 최적설계에 적용하여 제안한 기법의 유용성을 확인한다.

• 한국산업정보학회논문지
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• 제29권1호
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• pp.63-76
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• 2024

본 논문에서는 D-정책을 갖는 이산시간 BMAP/G/1 대기행렬의 이탈시점 및 임의시점 고객수 분포와 체재시간 분포를 분석하였다. 서로 상관성을 갖는 집단고객(패킷)들이 이산시간 마코비안 도착과정을 따라 시스템에 도착하고, 서버는 도착한 고객들의 서비스시간의 총합이 일량 임곗값을 초과하였을 때 재가동을 시작하여 시스템에 남은 고객이 없을 때까지 서비스한다. 시스템의 안정상태 고객수 분포와 체재시간 분포를 변환 벡터 형태로 유도하고 성능척도로서 평균값을 계산하였다. 수치 예제를 통해 복잡한 형태의 수식으로 나타나는 결과들을 계산하여 얻을 수 있음을 확인하고, 시뮬레이션 결과와 비교하여 이론값의 타당성을 검증하였다. 본 연구의 결과는 다양한 산업 분야에서 유사하게 작동하는 복잡계 시스템의 주요 성능척도들을 구하고 여러 가지 최적화 문제를 분석하는 데 사용할 수 있다.

• 한국도로학회논문집
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• 제18권5호
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• pp.39-47
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• 2016

PURPOSES : Road subsidence occurs owing to road cavities, which cause many social and environmental problems, especially in cities. Recently, road cavities were detected by various ground radars and repair works were carried out against the detected cavities. The condition assessments related to the road cavities are necessary to understand the potential risk of the cavities. Therefore, in this study, a numerical study was performed to assess the various conditions of road cavities. METHODS : The numerical method adopted in this study is the discrete element approach, and it is suitable for analyzing the condition because it can consider the movement of the soil particles in the surrounded cavity areas. In addition, the triaxial test was modeled and performed under various cavity conditions inside the specimens. RESULTS : The conditions of different cavity locations and shapes were analyzed to identify the effect of cavity state. Three general cases of particle size distributions were formulated to identify the effect of surrounding ground conditions. As a result, the degree of decrement and volumetric strain were varied depending on the locations and shapes of the cavity. Only minor changes were observed when the particle size distributions were altered. CONCLUSIONS : The strength reduction was higher when the cavity formed was larger and located in the upper zone. Similar to the cavity shape, strength reduction and volume deformation are more influenced by the width than the length of the cavities. There is an influence from ground conditions such as the particle size distribution, especially on the wide cavity.

• 대한조선학회지
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• 제13권1호
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• pp.1-9
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• 1976

Using the computer programs for calculation of natural vibrations of ship's hull developed by the authors et al., an investigation into influences of various parameters on the accuracy of calculation was done through example calculations of a 30,000 DWT petroleum products carrier M/S Sweet Brier built by Korea Shipbuilding and Engineering Corporation. The methodical principles employed for the computer program development are as follows; (a) the ship system is reduced to an equivalent discrete elements system conforming to Myklestad-Prohl model, (b) the problem formulation is of transfer matrix method, and (c) to obtain solutions an extended $G\ddot{u}mbel's$ initial value method is introduced. The scope of the investigation is influences of number of discrete elements, choice of significant system parameters such as rotary inertia, bending stiffness and shear stiffness, and simplification of distributions of added mass and stiffness as trapezoidal ones referred to those of midship section on the calculation accuracy. From the investigation the followings are found out; (1) To obtain good results for the modes up to the seven-noded thirty or more divisions of the hull is desirable. For fundamental mode fifteen divisions may give fairly good results. (2) The influence of rotary inertia is negligibly small at least for the modes up to the 5- or 6- noded. (3) In the case of assuming either bending modes or shear modes the calculation results in considerably higher frequencies as compared with those based on Timoshenko beam theory. However, the calculation base on the slender beam theory surprisingly gives frequencies within 10% error for fundamental modes. (4) It is proved that to simplify distributions of added mass and stiffness as trapezoidal ones referred to those of midship section is a promising approach for the prediction of natural frequencies at preliminary design stage; provided good accumulation of data from similar type ships, we may expect to obtain natural frequencies within 5% error.

• 소음진동
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• 제8권5호
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• pp.870-878
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• 1998

The cross-flow fan which constitutes a fan-duct system with a stabilizer and a scroll casing is widely used in many air-ventilating and air-conditioning devices. Its ooperating points of high efficiency and loading conditions frequently induce a annoying sharp tonal component of discrete frequency on the noise spectrum, which is open called as a BPF(Blade-Passing-Frequency) noise and degrades the sound quality of the devices. this BPF tone has been one of the defects of the cross-flow fan. This study proposes two methods in order to reduce this tonal noise component, which are the random distributions of the fan blades and the skewed shapes of the stabilizer. The proposed methods are verified by a simple analytical model and are applied in manufacturing the cross-flow fan and the stabilizer samples. Some experiments are carried out to verify the reduction capability of BPF tones of above two schemes and the experimental results are analyzed. The comparison between two method is also carried out.

• 대한설비공학회:학술대회논문집
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• 대한설비공학회 2009년도 하계학술발표대회 논문집
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• pp.142-147
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• 2009

In the present study, a numerical simulation of passenger evacuation in a subway station was performed. Algorithm for passenger flow analysis based on DEM(Discrete Element Method) has been improved to simulate passenger flow in detailed geometry. The effect of grid density was assessed in the present study to show the advantage of using finer grid in the simulation. The method of coupling passenger flow and fire simulation has also been investigated to analyze passenger evacuation flow under fire. In this method the CO distributions in the subway station was used to assess fire hazards of passenger by means of FED(Fractional Effective Dose) model. Using the coupled algorithm a simulation for passenger evacuation flow and fire analysis were performed simultaneously in the simplified subway station. This algorithm could be used in the design of subway station for the purpose of passengers' safety in case of fire.

• 대한기계학회논문집B
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• 제27권9호
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• pp.1273-1281
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• 2003

The present study is mainly motivated to investigate the vaporization, auto-ignition, and combustion of liquid fuel spray injected into high pressure environment. The unsteady, multi-dimensional models were used for realistic simulation of spray as well as prediction of accurate ignition delay time. The Separated Flow (SF) model which considers the finite rate of transport between liquid and gas phases was employed to represent the interactions between spray and gas field. Among the SF models, the Discrete Droplet Model (DDM) which simulates the spray using finite number of representative samples of discrete droplets was adopted. The Eulerian-Lagrangian formulation was used to analyze the two-phase interactions. In order to predict an evaporation rate of droplet in high pressure environment, the high pressure vaporization model was applied using thermodynamic equilibrium and phase equilibrium at droplet surface. The high pressure effect as well as high temperature effect was considered in the calculation of liquid and gas properties. In case of vaporization, an interaction between droplets was studied through the simulation of spray. The interaction is shown up differently whether the ambient gas field is at normal pressure or high pressure. Also, the characteristics of spray behavior in high pressure environment were investigated through the comparison with normal ambient pressure case. In both cases, the spray behaviors are simulated through the distributions of temperature and reaction rate in gas field.