• Journal of applied mathematics & informatics
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• 제27권5_6호
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• pp.1411-1427
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• 2009

We propose a model based on Lotka-Volterra dynamics with two competing spices which are affected not only by harvesting but also by the presence of a predator, the third species. Hyperbolic and linear response functions are considered. We derive the conditions for global stability of the system using Lyapunov function. The optimal harvest policy is studied and the solution is derived in the interior equilibrium case using Pontryagin's maximal principle. Finally, some numerical examples are discussed. The nature of variations in the two prey species and one predator species is studied extensively through graphical illustrations.

• EDISON SW 활용 경진대회 논문집
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• 제3회(2014년)
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• pp.446-449
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• 2014

Carbon Nanotube (CNT) have been intensively investigated since they have been considered as building blocks of nanoscience and nanotechnology. Theoretical and computational studies on CNTs have revealed their physical and chemical properties and helped researchers build various experimental devices to study them in depth. However, there have been only few systematic studies on detailed changes in electronic structures of CNTs due to geometrical structure modifications. In this regard, it is necessary to perform systematic investigations of the modifications in electronic structures of CNTs, as their geometrical configurations are altered, using the first-principles density functional theory. In other words, it is essential to determine the true equilibrium structure of CNTs. In this work, we considered the different atomic configurations by maintaining their symmetries, but changing all the inequivalent bonding types one by one. Furthermore, as for CNTs, for example, the way the graphene sheet is wrapped is represented by a pair of indices (n,m) and electronic structures of CNTs vary depending on different indices. Our results suggest all the significant couplings between electronic and geometric structures in CNTs.

• 한국레이저가공학회:학술대회논문집
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• 한국레이저가공학회 2001년도 추계학술발표대회 논문개요집
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• pp.43-47
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• 2001

This paper presents a study of the uniform metal droplet generation using laser. The theoretical model, based on the variational principle instead of solving the Wavier-Stokes equation with moving boundaries, is developed. Our model is considered the Young-Laplace equation and force equilibrium conditions. Surface tension coefficient is determined under the statical condition with induced differential equation by using experimental result. In case of dynamic vibration, metal droplet shape and critical detaching volume are predicted by recalculating of proposed model. The simulation result revealed that the developed model could reasonably describe the molten metal droplet behavior on vibration with metal wire.

• 대한수학회지
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• 제45권1호
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• pp.1-27
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• 2008

We introduce a new concept of convex spaces and a multimap class K having certain KKM property. From a basic KKM type theorem for a K-map defined on an convex space without any topology, we deduce ten equivalent formulations of the theorem. As applications of the equivalents, in the frame of convex topological spaces, we obtain Fan-Browder type fixed point theorems, almost fixed point theorems for multimaps, mutual relations between the map classes K and B, variational inequalities, the von Neumann type minimax theorems, and the Nash equilibrium theorems.

• Structural Engineering and Mechanics
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• 제4권1호
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• pp.73-89
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• 1996

In Lagrangian mechanics, attention is directed at the body as it moves through space. The region occupied by the body is called a configuration. All body points are labelled by the position they would have if the body were to occupy a chosen reference configuration. The reference configuration can be regarded as an extra fictional copy where notes are kept. As the body moves and deforms, it is important to correctly observe the use of each configuration for computational purposes. The description of strain is particularly important. The present work establishes clearly the role of each configuration in total and in incremental forms. This work also details the differences between gradient and configurational calculus.

• Structural Engineering and Mechanics
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• 제77권4호
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• pp.549-557
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• 2021

In this study, it is aimed to analyze the bending of porous sandwich plates using the four-variable shear deformation theory. The core of the sandwich plate is assumed to be functionally graded, and face sheets are assumed to be isotropic. The pore distribution of the sandwich plate is considered even and uneven type of porosity distribution. Displacement fields are defined with four variable shear deformation theory. Equilibrium equations of porous sandwich plates are derived from virtual displacement principle. An analytical solution is obtained by Navier's approach. Results are presented for uniformly and sinusoidally distributed loaded porous sandwich plates. Face sheet -core thickness ratio, porosity distribution, amount of porosity is investigated.

• Smart Structures and Systems
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• 제8권3호
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• pp.275-302
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• 2011

This is a review paper on mathematical modeling of actively controlled piezo smart structures. Paper has four sections to discuss the techniques to: (i) write the equations of motion (ii) implement sensor-actuator design (iii) model real life environmental effects and, (iv) control structural vibrations. In section (i), methods of writing equations of motion using equilibrium relations, Hamilton's principle, finite element technique and modal testing are discussed. In section (ii), self-sensing actuators, extension-bending actuators, shear actuators and modal sensors/actuators are discussed. In section (iii), modeling of thermal, hygro and other non-linear effects is discussed. Finally in section (iv), various vibration control techniques and useful software are mentioned. This review has two objectives: (i) practicing engineers can pick the most suitable philosophy for their end application and, (ii) researchers can come to know how the field has evolved, how it can be extended to real life structures and what the potential gaps in the literature are.

• 한국소성가공학회:학술대회논문집
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• 한국소성가공학회 2006년도 춘계학술대회 논문집
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• pp.391-394
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• 2006

In this paper, a criterion on enclosed die forging with a double action link type hydraulic die set is presented. Operational principle of the die set in enclosed die forging is introduced with emphasis on force transfer from the press and the hydraulic system to the material through links, die components and punches. Force transfer mechanism is examined and three different modes are introduced. Requirements on force equilibrium are applied to the three force transfer modes and a criterion on enclosed die forging with a double action link type hydraulic die set is drawn. The criterion is discussed to minimize forming load.

• 대한교통학회지
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• 제22권5호
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• pp.139-149
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• 2004

급격히 증가하는 차량수요에 대응하기 위하여 도로의 공급을 증대시키는 양적인 측면의 도로정책 기조가 유지되고 있지만, 이는 근본적인 해결책이 될 수 없다는 인식이 대두되어 왔다. 이에 따라 기존 도로시설의 효율적 활용과 교통수요를 관리하는 방법에 많은 관심이 모아지고 있다. 이중 혼잡통행료는 수요를 관리하고 차량을 도로량에 적절히 배정하는 수단으로 생각될 수 있으며, 교통 혼잡과 환경에 대한 악영향을 줄일 수 있는 가장 효율적인 방법중 하나로 고려되고 있다. 이에 따라 혼잡통행료 산정문제는 그동안 경제학자와 교통전문가에게 중요하고 흥미로운 연구 분야로 여겨져 왔고 다양한 방법으로 연구가 이루어져 왔다. 본 연구에서는 이러한 혼잡통행료 산정문제를 네트워크 설계문제(Network Design Problem, NDP)로 보고 통행배정문제와 혼잡통행료 산정 최적화 문제가 결합된 바이레벨 문제(Bi-level Problem)로 모형을 개발하였다. 여기서, 통행배정문제는 혼잡통행료 징수에 따른 통행자의 행태변화를 고려하기 위하여 Sheffi(1985)가 제시하였던 가변수요모형(Elastic-Demand Network Equilibrium Model)을 적용하였고, 혼잡통행료 산정 최적화 문제로서 사회적 순 편익 최대화문제를 고려하였다. 또한, 이런 형태의 바이레벨 문제는 게임이론측면에서 보면, 두 문제간의 비협력을 전제로 하는 Nash 비협력 게임과 상호 협력을 전제하는 Stackelberg게임으로 구분할 수 있는데, 본 연구에서는 민감도 분석을 통하여 최적해를 찾는 Stackelberg 게임으로 모형을 개발하였다. 통행수요는 단일계층으로 승용차로만 구성되어있다고 가정하였으며, 개발된 모형에 대하여 2개 네트워크에서 실험이 이루어졌다. 실험을 통하여 모형의 알고리즘에 관한 설명과 검증을 하였으며, 혼잡통행료 산정문제와 함께 적합한 혼잡통행료 징수 대상 링크의 선정이 중요한 연구대상임을 제시하였다.

• 대한한의학원전학회지
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• 제31권1호
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• pp.79-93
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• 2018

Objectives : The climate changes in the natural realm displays pheonomena of excess and deficiency due to the principle of Yiyinyiyangzhiweidao. Here, overabundant qi arises due to the works of multiplication and insultation. When this overabundant qi is in force, the retaliating qi appears without fail to create a parallel. This is the Autonomous Equilibrium Mechanism found in the natural world. Studying this mechanism is deeply significant in understanding the mechanisms of diseases. Methods : The paper is written by reviewing the texts found in Huangdineijing's Chapters of Yunqi, which are $Q{\grave{i}}jiaobiandalun$, Wuchangzhengdalun, $Liuyuanzhengj{\grave{i}}dalun$, Zhizhenyaodalun, and Suwenliuqixuanzhumiyu. Results & Conclusions : The overabundance and retaliation in Five Circuits take the form of the restrained child of the Five Circuits takes revenge on the overabundant qi on behalf of his mother. The overabundance and retaliation in Six Qi take the form of rapid healing of Benqi which was in stagnation. Traditionally, overabundant qi is the only one in existence when the Five Circuits are in excess and the year of Hai yin wu wei you xu's regular transformation. During this time, retaliating qi does not exist. When Five Circuits are in deficiency and in the year of Si shen zi chou mao chen's pattern transformation, both the overabundant and deficiency qis exist. However, regardless of regular transformation or pattern transformation, overabundant qi and retaliating qi cannot exist at the same time. This seems to be the rational conclusion. There are some regulations that overabundance and retaliation follow. First, the strong and weak, and number of days coincide. Second, overabundance qi appear during the first half of the period when the qi of controling heaven is in place. During the later half of the period when the qi of terrestrial effect is in force, retaliation qi is the one that appears. Third, overabundance and retaliation does not end with one time. Rather, they will continue to repeat appearance and disappearance without any set pattern. Fourth, the overabundance and retaliation of the guest qi and dominant qi only has overabundance and no retaliation.