• 제목/요약/키워드: equilibrium problem

검색결과 493건 처리시간 0.025초

조합하중이 작용하는 보강평판의 최적설계 연구 (A Study on the Optimum Design of Stiffened Plates under Combined Loads)

  • 원종진
    • 대한기계학회논문집
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    • 제14권5호
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    • pp.1059-1068
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    • 1990
  • 본 연구에서는 4변이 단순지지되고 보강재가 등간격으로 조밀하게 배치된 편 면직교보강평판에 조합하중이 작용하는 경우 최소중량화에 따른 최적설계변수들을 비 선형 최적화기법인 미분벡터유영법(gradient projection method)에 의하여 산정한다. 설계제한조건으로 전체좌굴응력, 평판및 보강재의 국부좌굴응력, 각부의 항복응력제한 그리고 설계변수들의 상, 하한치의 제한등을 설정하고 전체좌굴에 대한 지배방정식으 로 등가의 직교이방성 평판의 좌굴에 관한 평형방정식을 사용한다. 직교 보강의 경 우 기존연구결과와 비교, 분석하여 본 해석의 유용성을 입증하고 조합하중의 작용에 따른 대칭경사보강의 효율성도 검토한다.

Vacuum Carburizing System for Powdered Metal Parts & Components

  • Kowakewski, Janusz;Kucharski, Karol
    • 한국분말야금학회:학술대회논문집
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    • 한국분말야금학회 2006년도 Extended Abstracts of 2006 POWDER METALLURGY World Congress Part2
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    • pp.1018-1021
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    • 2006
  • Powdered metal parts and components may be carburized successfully in a vacuum furnace by combining carburizing technology $VacCarb^{TM}$ with a hi-tech control system. This approach is different from traditional carburizing methods, because vacuum carburizing is a non-equilibrium process. It is not possible to set the carbon potential as in a traditional carburizing atmosphere and control its composition in order to obtain a desired carburized case. This paper presents test results that demonstrate that vacuum carburizing system $VacCarb^{TM}$ carburized P.M. materials faster than traditional steel with acceptable results. In the experiments conducted, PM samples with the lowest density and open porosity showed a dramatic increase in the surface carbon content up to 2.5%C and a 3 times deeper case. Currently the boost-diffusion technique is applied to control the surface carbon content and distribution in the case. In the first boost step, the flow of the carburizing gas has to be sufficient to saturate the austenite, while avoiding soot deposition and formation of massive carbides. To accomplish this goal, the proper gas flow rate has to be calculated. In the case of P.M. parts, more carbon can be absorbed by the part's surface because of the additional internal surface area created by pores present in the carburized case. This amount will depend on the density of the part, the densification grade of the surface layer and the stage of the surface. "as machined" or "as sintered". It is believed that enhanced gas diffusion after initial evacuation of the P.M. parts leads to faster carburization from within the pores, especially when pores are open . surface "as sintered" and interconnected . low density. A serious problem with vacuum carburizing is delivery of the carbon in a uniform manner to the work pieces. This led to the development of the different methods of carburizing gas circulation such as the pulse/pump method or the pulse/pause technique applied in SECO/WARWICK's $VacCarb^{TM}$ Technology. In both cases, each pressure change may deliver fresh carburizing atmosphere into the pores and leads to faster carburization from within the pores. Since today's control of vacuum carburizing is based largely on empirical results, presented experiments may lead to better understanding and improved control of the process.

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Game Theory Based Coevolutionary Algorithm: A New Computational Coevolutionary Approach

  • Sim, Kwee-Bo;Lee, Dong-Wook;Kim, Ji-Yoon
    • International Journal of Control, Automation, and Systems
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    • 제2권4호
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    • pp.463-474
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    • 2004
  • Game theory is a method of mathematical analysis developed to study the decision making process. In 1928, Von Neumann mathematically proved that every two-person, zero-sum game with many pure finite strategies for each player is deterministic. In the early 50's, Nash presented another concept as the basis for a generalization of Von Neumann's theorem. Another central achievement of game theory is the introduction of evolutionary game theory, by which agents can play optimal strategies in the absence of rationality. Through the process of Darwinian selection, a population of agents can evolve to an Evolutionary Stable Strategy (ESS) as introduced by Maynard Smith in 1982. Keeping pace with these game theoretical studies, the first computer simulation of coevolution was tried out by Hillis. Moreover, Kauffman proposed the NK model to analyze coevolutionary dynamics between different species. He showed how coevolutionary phenomenon reaches static states and that these states are either Nash equilibrium or ESS in game theory. Since studies concerning coevolutionary phenomenon were initiated, there have been numerous other researchers who have developed coevolutionary algorithms. In this paper we propose a new coevolutionary algorithm named Game theory based Coevolutionary Algorithm (GCEA) and we confirm that this algorithm can be a solution of evolutionary problems by searching the ESS. To evaluate this newly designed approach, we solve several test Multiobjective Optimization Problems (MOPs). From the results of these evaluations, we confirm that evolutionary game can be embodied by the coevolutionary algorithm and analyze the optimization performance of our algorithm by comparing the performance of our algorithm with that of other evolutionary optimization algorithms.

Design and ultimate behavior of RC plates and shells: two case studies

  • Min, Chang-Shik
    • Structural Engineering and Mechanics
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    • 제14권2호
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    • pp.171-190
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    • 2002
  • Two cases of design are performed for the hyperbolic paraboloid saddle shell (Lin-Scordelis saddle shell) and the hyperbolic cooling tower (Grand Gulf cooling tower) to check the design strength against a consistent design load, therefore to verify the adequacy of the design algorithm. An iterative numerical computational algorithm is developed for combined membrane and flexural forces, which is based on equilibrium consideration for the limit state of reinforcement and cracked concrete. The design algorithm is implemented in a finite element analysis computer program developed by Mahmoud and Gupta. The amount of reinforcement is then determined at the center of each element by an elastic finite element analysis with the design ultimate load. Based on ultimate nonlinear analyses performed with designed saddle shell, the analytically calculated ultimate load exceeded the design ultimate load from 7% to 34% for analyses with various magnitude of tension stiffening. For the cooling tower problem the calculated ultimate load exceeded the design ultimate load from 26% to 63% with similar types of analyses. Since the effective tension stiffening would vary over the life of the shells due to environmental factors, a degree of uncertainty seems inevitable in calculating the actual failure load by means of numerical analysis. Even though the ultimate loads are strongly dependent on the tensile properties of concrete, the calculated ultimate loads are higher than the design ultimate loads for both design cases. For the cases designed, the design algorithm gives a lower bound on the design ultimate load with respect to the lower bound theorem. This shows the adequacy of the design algorithm developed, at least for the shells studied. The presented design algorithm for the combined membrane and flexural forces can be evolved as a general design method for reinforced concrete plates and shells through further studies involving the performance of multiple designs and the analyses of differing shell configurations.

반복적 Cumulant 모멘트 방법에 의한 Boltzmann 방정식의 해법과 충격파구조에 관한 연구 (Iterative Cumulant Moment Method for solution of Boltzmann Equation and its Application to Shock Wave Structure)

  • 오영기
    • 대한화학회지
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    • 제42권4호
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    • pp.398-410
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    • 1998
  • Boltzmann 방정식의 비선형 해법으로서 cumulant 모멘트 방법을 연구하였으며, Maxwell 분자모형 단원자분자 기체계의 정상충격파 문제에 대하여 적용하였다. 모멘트 방정식의 해는 Maxwell-Ikenberry-Truesdell(MIT) 반복법을 사용하였다. 원래의 MIT 반복법은 초기값을 평형분포함수로부터 구하지만, 본 연구에서는 반복계산의 초기값을 Mott-Smith의 두방식(bimodal)함수로부터 구하였다. 모멘트 계산은 2차 반복단계까지 수행하였으며, 강한 충격파에 대한 밀도, 온도, stress, heat flux 등의 윤곽과 충격파의 두께, 그리고 마하수 1.4 미만의 약한 충격파의 두께를 계산하였다. 1차 반복계산에서 충격파 윤곽에 대한 간단한 형태의 해석적 표현을 얻었으며, 이로부터 도출한 약한 충격파 두께에 대한 극한법칙은 Navier-Stokes 이론과 정확히 일치한다. 2차 반복계산에 의한 결과는 강한 충격파의 윤곽곡선 및 충격파 두께가 Monte Carlo 문헌값과 정량적으로 일치함을 보인다.

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축소차수 관측기를 이용한 시소시스템의 Pl형 상태피드백 제어 (A PI-type State Feedback Control of Seesaw System Using Reduced-order Observer)

  • 류기탁;이윤형;유희한;정병건;김종수;소명옥
    • 한국항해항만학회지
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    • 제31권10호
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    • pp.853-858
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    • 2007
  • 본 논문에서는 시소 시스템에 Pl형의 상태 피드백 제어기와 축소차수 관측기를 결합한 제어시스템을 적용하여 시소 시스템의 안정화 문제를 다루었다. LQ 이론에 근간을 두는 Pl형의 상태 피드백 제어기는 계단상의 외란이나 잡음에 대해 양호한 성능을 가지도록 오차에 대한 새로운 상태변수를 고려한 제어기이다. 축소차수 관측기는 상태변수의 계측이 어려운 경우나 경제적인 이유로 센서의 부착이 어려운 경우에 종종 사용되는데 본 논문에서는 시소 시스템의 각도와 대차의 위치로부터 시소의 각속도와 대차의 속도를 추정하기 위해 사용된다. 여러 초기조건과 외란이 인가되는 환경 하에서 실시한 시뮬레이션을 통해 본 논문에서 목적으로 하는 시소 시스템의 안정화가 가능함을 보인다.

Impacts of Managing Water in a Closed Basin: A Study of the Walker River Basin, Nevada, USA

  • Tracy, John C.
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2012년도 학술발표회
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    • pp.1-10
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    • 2012
  • Throughout much of the world, many ecological problems have arisen in watersheds where a significant portion of stream flows are diverted to support agriculture production. Within endorheic watersheds (watersheds whose terminus is a terminal lake) these problems are magnified due to the cumulative effect that reduced stream flows have on the condition of the lake at the stream's terminus. Within an endorheic watershed, any diversion of stream flows will cause an imbalance in the terminal lake's water balance, causing the lake to transition to a new equilibrium level that has a smaller volume and surface area. However, the total mass of Total Dissolved Solids within the lake will continue to grow; resulting in a significant increase in the lake's TDS concentration over time. The ecological consequences of increased TDS concentrations can be as limited as the intermittent disruption of productive fisheries, or as drastic as a complete collapse of a lake's ecosystem. A watershed where increasing TDS concentrations have reached critical levels is the Walker Lake watershed, located on the eastern slope of the central Sierra Nevada range in Nevada, USA. The watershed has an area of 10,400 sq. km, with average annual headwater flows and stream flow diversions of 376 million $m^3/yr$ and 370 million $m^3/yr$, respectively. These diversions have resulted in the volume of Walker Lake decreasing from 11.1 billion m3 in 1882 to less than 2.0 billion $m^3$ at the present time. The resulting rise in TDS concentration has been from 2,560 mg/l in 1882 to nearly 15,000 mg/l at the current time. Changes in water management practices over the last century, as well as climate change, have contributed to this problem in varying degrees. These changes include the construction of reservoirs in the 1920s, the pumpage of shallow groundwater for irrigation in the 1960s and the implementation of high efficiency agricultural practices in the 1980s. This paper will examine the impacts that each of these actions, along with changes in the region's climate, has had on stream flow in the Walker River, and ultimately the TDS concentration in Walker Lake.

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CEL 기법을 이용한 유한 요소 해석에서 지반의 극한 파괴 상태 감지를 위한 정량적 물리량 기준 (A Quantitative Physical Parameter for Detection of Ultimate Failure State of Soil Using CEL Method in Finite Element Analysis)

  • 김성민;이주형;정영훈
    • 한국지반공학회논문집
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    • 제34권12호
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    • pp.59-69
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    • 2018
  • 한계평형법 이론들을 사용하기 위해서는 극한 파괴 상태에서 나타나는 파괴 전단면을 찾아야 한다. 강도 감소법에서는 유한요소해석의 수치해가 일정 반복 횟수 이내에 수렴하지 못하는 시점을 극한 파괴 상태로 정의한다. 하지만 Coupled Eulerian-Lagrangian (CEL)기법을 유한요소해석에서 사용하면 극한 파괴 상태에 도달하여도 수치해의 비수렴 상황이 발생하지 않으므로 이러한 정의는 사용하기 어렵다. 본 연구에서는 CEL 기법을 이용한 유한요소해석에서 지반의 극한 파괴 상태를 감지할 수 있는 객관적인 물리량 기준을 제시하였다. 비배수 조건의 연약지반이 연속기초 하중을 받는 경우 극한 파괴 상태에 해당하는 이론적 하중에서 소성 소산 에너지의 변화속도가 민감하게 변화함을 찾을 수 있었다.

Analytical methods for determining the cable configuration and construction parameters of a suspension bridge

  • Zhang, Wen-ming;Tian, Gen-min;Yang, Chao-yu;Liu, Zhao
    • Structural Engineering and Mechanics
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    • 제71권6호
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    • pp.603-625
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    • 2019
  • Main cable configurations under final dead load and in the unloaded state and critical construction parameters (e.g. unstrained cable length, unstrained hanger lengths, and pre-offsets for tower saddles and splay saddles) are the core considerations in the design and construction control of a suspension bridge. For the purpose of accurate calculations, it is necessary to take into account the effects of cable strands over the anchor spans, arc-shaped saddle top, and tower top pre-uplift. In this paper, a method for calculating the cable configuration under final dead load over a main span, two side spans, and two anchor spans, coordinates of tangent points, and unstrained cable length are firstly developed using conditions for mechanical equilibrium and geometric relationships. Hanger tensile forces and unstrained hanger lengths are calculated by iteratively solving the equations governing hanger tensile forces and the cable configuration, which gives careful consideration to the effect of hanger weight. Next, equations for calculating the cable configuration in the unloaded state and pre-offsets of saddles are derived from the cable configuration under final dead load and the conditions for unstrained cable length to be conserved. The equations for the main span, two side spans and two anchor spans are then solved simultaneously. In the proposed methods, coupled nonlinear equations are solved by turning them into an unconstrained optimization problem, making the procedure simplified. The feasibility and validity of the proposed methods are demonstrated through a numerical example.

경제적 갑질에 대한 게임이론적 분석 (Game Theoretical Analysis of Economic Gab-Jil)

  • 양채열
    • 중소기업연구
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    • 제41권3호
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    • pp.95-106
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    • 2019
  • 경제적 강자가 경제적 약자의 희생을 강요하면서 경제적 이익을 추구하는 경제분야에서의 갑질은 심각한 사회문제가 되고 있을 뿐만이 아니라 경제의 활력을 소진시키고 있다. 특히 자동차 산업 분야에서 '납품단가 강제인하'와 가맹점 사업분야에서 통행세와 보복출점 등의 문제가 논란거리가 되고 있다. 이 논문은 경제적 갑질에 대하여 게임모형으로 분석하여 개선안을 제안한다. 갑질이 발생하는 '나쁜 균형'을 바람직한 결과인 '좋은 균형'으로 이전시킬 수 있는 방안의 하나는 법제도적 조치로 약자의 협상력을 강화하는 것이다. 이는 또한 규제·감독기관의 집행력에만 의존하지 않고, 관련 시장참여자들의 유인에 의하여 자동집행되는 보다 시장친화적인 사후적·항구적인 시스템이 된다.