• Korean Journal of Mathematics
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• 제29권2호
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• pp.371-386
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• 2021

This paper investigates two discrete time queueing inventory models with positive service time and lead time. Customers arrive according to a Bernoulli process and service time and lead time follow geometric distributions. The first model under discussion based on replenishment of order upto S policy where as the second model is based on order placement by a fixed quantity Q, where Q = S - s, whenever the inventory level falls to s. We analyse this queueing systems using the matrix geometric method and derive an explicit expression for the stability condition. We obtain the steady-state behaviour of these systems and several system performance measures. The influence of various parameters on the systems performance measures and comparison on the cost analysis are also discussed through numerical example.

• 한국강구조학회 논문집
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• 제23권1호
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• pp.99-111
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• 2011

본 연구에서는 비선형 해석을 통하여 폐합 전 강사장교의 주요한 좌굴 거동 특성을 고찰한다. 케이블의 새그효과, 주탑과 거더의 P-${\Delta}$ 효과, 구조물의 대변위효과 등의 주요한 기하학적 비선형성을 모두 고려하기 위해 기하학적 비선형 해석으로써 구조물의 좌굴 해석을 수행하였다. 초기형상 해석 및 시공단계 해석을 통해 사하중을 받고 있는 시공 단계에 있는 구조물의 해석을 수행하였고 이 후 데릭 크레인과 키 세그먼트의 자중에 대한 비선형 해석으로 폐합 전 사장교의 좌굴 해석을 수행하였다. 본 해석 연구에서는 케이블의 배치 형태 및 주탑과 거더간 강성비에 따른 좌굴 모드 및 임계 하중계수의 변화를 분석하였다. 연구 결과 주요한 좌굴 모드를 구분하고 케이블 배치 형식이 다른 각 사장교에서 각 좌굴 모드가 나타나는 주탑과 거더간 강성비의 범위를 도출하였다.

• 터널과지하공간
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• 제32권1호
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• pp.20-29
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• 2022

지중공동이 존재하는 지반의 거동은 지반함몰의 위험을 평가할 때 반드시 고려해야 하는 사항이다. 지중공동 주변 지반의 전단강도를 알더라도 공동의 크기와 같은 기하학적 요소와 관련된 불확실성으로 인해 정밀한 분석이 어렵다. 본 연구에서는 지반의 강도 및 공동의 기하학적 조건들을 바탕으로 무차원 안정성 상수를 나타내는 도표를 제안하였다. 이를 위해 수치해석이 수행되었으며 안정성 상수는 지반의 강도 정수인 점착력과 마찰각, 그리고 지중 공동의 크기와 심도를 고려한다. 제안도표는 지반 조건을 바탕으로 현장의 안정성을 추정하는 데 도움이 될 수 있다.

• Journal of applied mathematics & informatics
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• 제35권1_2호
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• pp.191-204
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• 2017

A new fifth-order weighted Runge-Kutta algorithm based on heronian mean for solving initial value problem in ordinary differential equations is considered in this paper. Comparisons in terms of numerical accuracy and size of the stability region between new proposed Runge-Kutta(5,5) algorithm, Runge-Kutta (5,5) based on Harmonic Mean, Runge-Kutta(5,5) based on Contra Harmonic Mean and Runge-Kutta(5,5) based on Geometric Mean are carried out as well. The problems, methods and comparison criteria are specified very carefully. Numerical experiments show that the new algorithm performs better than other three methods in solving variety of initial value problems. The error analysis is discussed and stability polynomials and regions have also been presented.

• 대한토목학회논문집
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• 제29권6D호
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• pp.771-779
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• 2009

GIS의 자료기반이 되는 수치지도는 주로 재래식 항공사진측량에 의해서 제작되고 있다. 따라서 촬영된 아날로그 항공사진은 필름의 현상, 인화, 스캐닝 작업 과정을 거쳐 수치지도 제작에 이용되고 있다. 하지만 디지털 항측카메라의 개발로 촬영된 사진의 전처리과정 없이 직접 디지털 영상의 획득이 가능하여 항공사진의 효율성이 극대화 되고 있는 실정이다. 본 연구 에서는 면형방식 카메라인 DMC(Digital Modular Camera) 영상의 블록구성에 따른 기하적 안정성을 검증하기 위하여 횡스트립의 유무, GPS/INS 외부표정요소의 유무 및 지상기준점 수를 달리한 조건으로 블록조정을 수행하였다. 각 조건별 블록조정의 결과로 부터 외부표정요소에 대한 잔차의 변화를 계산하여 정확도를 상호 비교하였다. 연구 결과 횡스트립 추가 시 블록은 기하학적으로 약 30% 안정함을 알 수 있었고, 외부표정요소에서는 횡스트립 추가 시 표준편차의 평균에서 X축으로 2cm, Y축으로 3cm, Z축으로 3cm 더 우수하였으며, omega는 6", phi는 4", kappa는 3" 더 우수하게 나타났다.

• Structural Engineering and Mechanics
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• 제6권7호
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• pp.785-800
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• 1998

This paper deals with the nonlinear finite element analysis of fibre-reinforced plastic poles. Based on the principle of stationary potential energy and Novozhilov's derivations of nonlinear strains, the formulations for the geometric nonlinear analysis of general shells are derived. The formulations are applied to the fibre-reinforced plastic poles which are treated as conical shells. A semi-analytical finite element model based on the theory of shell of revolution is developed. Several aspects of the implementation of the geometric nonlinear analysis are discussed. Examples are presented to show the applicability of the nonlinear analysis to the post-buckling and large deformation of fibre-reinforced plastic poles.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 1999년도 봄 학술발표회 논문집
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• pp.331-338
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• 1999

In the present study, a searching technique for critical slip surface in two dimensional slope stability analysis is proposed. The failure surface generation and analysis has been usually limited to simple geometric shapes. However, more random surfaces need to be examined for some particular ground conditions. For this purpose, random searching technique is developed using genetic algorithm. The generalized limit equilibrium method is employed as the method of stability analysis. Using this technique, the factor of safety is compared with the result by using simplified Bishop's method. In addition, the convergent trend of fitness value is analyzed.

• 한국철도학회논문집
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• 제7권4호
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• pp.367-373
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• 2004

The investigation of running stability of the train for curved track is necessary in view of preventing the train from derailment caused by unbalanced forces transferred from the wheel and guaranteeing moderate level of running safety in curve sections. This paper carried out an analysis of running stability of tilting trains in conventional line which the test operation of tilting trains under development are scheduled. For this purpose, the wheel load and lateral pressure to the rail are evaluated. The criteria for the calculated wheel load and derailment coefficient are compared to the design criteria for running stability. It is founded that the running stability of tilting trains for curved track is guaranteed to have sufficient safety and the train speed in curve is governed by the geometric layout of track rather than the criteria for running stability.

• KSTLE International Journal
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• 제2권2호
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• pp.93-102
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• 2001

Ball bearings have been widely used for the spindle motor bearing in various kinds of information storage devices. Recently many researchers have been trying to replace ball bearings with fluid film bearings because of their superior NRRO(non-repeatable runout) characteristics. In this study, a numerical analysis has been conducted for the complicate bearing system composed of herringbone groove journal bearing and spiral groove thrust bearing for the spindle motor of the information storage device. At first, spindle motor bearing is modeled as journal bearing part and thrust bearing part separately, and then observed various influences of geometric parameters. Previous studies had considered only the translational motion of the journal bearing. However, this study takes the additional 2-degree of freedom rotation into consideration to attempt to describe the real motion of the spindle bearing. As a result, rotational stiffness coefficients and rotational damping coefficients are obtained. In addition, a spindle bearing system made up of four bearings is modeled and interpreted at once and coefficients of dynamic characteristics of each bearing are obtained. Finally, an eigen analysis of bearing system is made with these results. Through this analysis, it is possible to estimate an unstable condition of the system for given geometric parameters and to propose a method which is able to avoid the unstable condition by a proper adjustment of geometric parameters.

• Earthquakes and Structures
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• 제26권4호
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• pp.251-259
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• 2024

In this paper, the thermal post-buckling behavior of graphene platelets reinforced metal foams (GPLRMFs) plate with initial geometric imperfections on nonlinear elastic foundations are studied. First, the governing equation is derived based on the first-order shear deformation theory (FSDT) of plate. To obtain a single equation that only contains deflection, the Galerkin principle is employed to solve the governing equation. Subsequently, a comparative analysis was conducted with existing literature, thereby verifying the correctness and reliability of this paper. Finally, considering three GPLs distribution types (GPL-A, GPL-B, and GPL-C) of plates, the effects of initial geometric imperfections, foam distribution types, foam coefficients, GPLs weight fraction, temperature changes, and elastic foundation stiffness on the thermal post-buckling characteristics of the plates were investigated. The results show that the GPL-A distribution pattern exhibits the best buckling resistance. And with the foam coefficient (GPLs weight fraction, elastic foundation stiffness) increases, the deflection change of the plate under thermal load becomes smaller. On the contrary, when the initial geometric imperfection (temperature change) increases, the thermal buckling deflection increases. According to the current research situation, the results of this article can play an important role in the thermal stability analysis of GPLRMFs plates.