• 제목/요약/키워드: bifurcation analysis

검색결과 264건 처리시간 0.023초

Bifurcation 현상의 수학적 분석을 통한 IPT 보상 회로의 최적설계 (Optimal Design of IPT Compensation Circuits based on Mathematical Analysis of Bifurcation)

  • 이재우;유승희;우동균;이병국
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 2014년도 전력전자학술대회 논문집
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    • pp.530-531
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    • 2014
  • 본 논문에서는 자기유도결합 무선전력전송 (IPT) 시스템의 Bifurcation 현상에 대한 분석을 통해, 1, 2차 보상회로 별 Bifurcation 현상 발생 임계점을 도출한다. 도출된 임계점에 해당하는 파라미터를 근거로 400W급 SP 보상회로 IPT 시스템에 대한 PSIM 시뮬레이션을 통하여 분석의 타당성을 검증한다.

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접촉을 고려한 보의 탄소성 좌굴진행 해석 (An analysis of progressing buckles of thin compressed beam with contact treatment)

  • 김종봉;양동열
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1997년도 추계학술대회논문집
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    • pp.28-31
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    • 1997
  • Buckling analysis of thin compressed beam has been carried out. Pre-buckling and post-buckling are simulated by finite element method incorporating with the incremental nonlinear theory and the Newton-Raphson solution technique. In order to find the bifurcation point, the determinent of the stiffness matrix is calculated at every iteration procedure. For post-buckling analysis, a small perturbed initial guess is given along the eigenvector direction at the bifurcation point. Nonlinear elastic buckling and elastic-plastic buckling of cantilever beam are analyzed. The buckling load and buckled shape of the two models are compared.

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TELEMAC-2D를 적용한 개수로 분류부 유량비 변화에 의한 흐름특성 분석 (Numerical analysis of flow characteristics at the bifurcation channel by changing of discharge ratio using TELEMAC-2D)

  • 정대진;장창래;정관수
    • 한국수자원학회논문집
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    • 제52권1호
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    • pp.1-10
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    • 2019
  • 본 연구에서는 분류부 흐름에 대한 TELEMAC-2D 2차원 수치모형의 적용성을 검증하고, 수치실험을 통한 분류유량비 계산식의 비교분석, 분류유량비 변화에 따른 분류부 흐름특성 변화를 분석하였다. 본 수치모형은 분류부 수심평균 유속분포와 수위에 대해 실내실험결과와 잘 일치하는 결과를 나타냈다. 주수로의 하류방향 관성력과 모멘트가 감소하면 분류유량비가 증가하게 되고, 분류수로에서 상대적인 고유속 분포구간은 넓어지며, 분류수로 주흐름의 역방향 유속은 감소한다. 분류유량비가 증가할수록 분류수로 내 흐름분리구역 규모는 감소하며, 흐름분리구역 규모 산정시 유선분포 작도뿐만 아니라 종방향 프루우드 수가 $Fr{\approx}0$이 되는 지점 확인으로 더 명확하게 산정할 수 있다.

디스크 런아웃에 기인한 브레이크 스퀼소음 (Brake Squeal Noise Due to Disk Run-out)

  • 임재훈;조성진;최연선
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 추계학술대회
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    • pp.595-600
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    • 2004
  • This paper deals with a cause analysis of a squeal noise in a brake system. It has been proved that the squeal noise is influenced by the angular misalignment of a disk, disk run-out, with the previously experimental study. In this study, a cause of the noise is examined by using FE analysis program(SAMCEF) and numerical analyses with a derived analytical equation of the disk based on the experimental results. The FE analyses and numerical results show that the squeal noise is due to the disk run-out as the experimental results and the frequency component of the noise equals to that of a disk's bending mode arising from the Hopf bifurcation.

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Cell Cycle Regulation in the Budding Yeast

  • Nguyen, Cuong;Yoon, Chang-No;Han, Seung-Kee
    • 한국생물정보학회:학술대회논문집
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    • 한국생물정보시스템생물학회 2005년도 BIOINFO 2005
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    • pp.278-283
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    • 2005
  • Cell cycle is regulated cooperatively by several genes. The dynamic regulatory mechanism of protein interaction network of cell cycle will be presented taking the budding yeast as a sample system. Based on the mathematical model developed by Chen et at. (MBC, 11,369), at first, the dynamic role of the feedback loops is investigated. Secondly, using a bifurcation diagram, dynamic analysis of the cell cycle regulation is illustrated. The bifurcation diagram is a kind of ‘dynamic road map’ with stable and unstable solutions. On the map, a stable solution denotes a ‘road’ attracting the state and an unstable solution ‘a repelling road’ The ‘START’ transition, the initiation of the cell cycle, occurs at the point where the dynamic road changes from a fixed point to an oscillatory solution. The 'FINISH' transition, the completion of a cell cycle, is returning back to the initial state. The bifurcation analysis for the mutants could be used uncovering the role of proteins in the cell cycle regulation network.

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Stability Analysis and Control of Nonlinear Behavior in V2 Switching Buck Converter

  • Hu, Wei;Zhang, Fangying;Long, Xiaoli;Chen, Xinbing;Deng, Wenting
    • Journal of Power Electronics
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    • 제14권6호
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    • pp.1208-1216
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    • 2014
  • Mismatch between switching frequency and circuit parameters often occurs in industrial applications, which would lead to instability phenomena. The bifurcation behavior of $V^2$ controlled buck converter is investigated as the pulse width modulation period is varied. Nonlinear behavior is analyzed based on the monodromy matrix of the system. We observed that the stable period-1 orbit was first transformed to the period-2 bifurcation, which subsequently changed to chaos. The mechanism of the series of period-2 bifurcations shows that the characteristic eigenvalue of the monodromy matrix passes through the unit circle along the negative real axis. Resonant parametric perturbation technique has been applied to prevent the onset of instability. Meanwhile, the extended stability region of the converter is obtained. Simulation and experimental prototypes are built, and the corresponding results verify the theoretical analysis.

Buckling of aboveground oil storage tanks under internal pressure

  • Yoshida, Shoichi
    • Steel and Composite Structures
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    • 제1권1호
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    • pp.131-144
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    • 2001
  • Overpressurization can occur due to the ignition of flammable vapors existing inside aboveground oil storage tanks. Such accidents could happen more frequently than other types of accident. In the tank design, when the internal pressure increases, the sidewall-to-roof joint is expected to fail before failure occurs in the sidewall-to-bottom joint. This design concept is the socalled "frangible roof joint" introduced in API Standard 650. The major failure mode is bifurcation buckling in this case. This paper presents the bifurcation buckling pressures in both joints under internal pressure. Elastic and elastic-plastic axisymmetric shell finite element analysis was performed involving large deformation in the prebuckling state. Results show that API Standard 650 does not evaluate the frangible roof joint design conservatively in small diameter tanks.

분기좌굴이론의 탄소성 유한요소법에의 적용 (An Introduction of Bifurcation Algorithm into the Elastic-Plastic Finite Element Analysis)

  • 김종봉;양동열;윤정환
    • 소성∙가공
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    • 제9권2호
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    • pp.128-139
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    • 2000
  • Wrinkling is one of the major defects in sheet metal products and may be also attributable to the wear of the tool. The initiation and growth of wrinkles are influenced by many factors such as stress state, mechanical properties of the sheet material, geometry of the body, and contact condition. It is difficult to analyze the wrinkling initiation and growth considering the factors because the effects of the factors are very complex and the wrinkling behavior may show a wide variation for small deviations of the factors. In this study, the bifurcation theory is introduced for the finite element analysis of wrinkling initiation and growth. All the above mentioned factors are conveniently considered by the finite element method. The finite element formulation is based on the incremental deformation theory and elastic-plastic elements considering the planar anisotropy of the sheet metal. The proposed method is verified by employing a column buckling problem. And then, the initiation and growth of wrinkling in deep drawing of cylindrical cup are analyzed.

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SMES를 포함하는 전력계통의 비선형현상 해석에 관한 연구 (A Study of Nonlinear Behaviors in Power Systems with SMES)

  • 안병학;이병준
    • 대한전기학회논문지:전력기술부문A
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    • 제48권4호
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    • pp.379-387
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    • 1999
  • In general, solving or analyzing nonilinear dynamical equations is very difficult and requires special techniques. To avoid these difficulties, systems are generally linearized in an attempt to predict their begavior. These linearized equations, however, may not predict true system behavior. Therefore, the nonlinear dynamical analysis using bifurcation theory may become a fundamental framework in understanding nonlinear situation in power systems. In this paper, we propose a systematic procedure based on a bifurcation theory to analyze nonlinear behaviors in power systems. We show usefulness of our procedure by applying 3-bus model system. In addition, we consider nonlinear model of SMES and verify the effect of SMES in power system's nonlinear behaviors.

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소성 이방성이 박판의 주름 발생에 미치는 영향 (The effect of plastic anisotropy on wrinkling behavior of sheet metal)

  • 양동열
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1999년도 춘계학술대회논문집
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    • pp.14-17
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    • 1999
  • The wrinkling behavior of a thin sheet with perfect geometry is a kind of compressive instability. The compressive instability is influenced by many factors such as stress state mechanical properties of the sheet material geometry of the body contact conditions and plastic anisotropy. The analysis of compressive instability in plastically deforming body is difficult considering all the factors because the effects of the factors are very complex and the instability behavior may show wide variation for small deviation of the factors. In this study the bifurcation theory is introduced for the finite element analysis of puckering initiation and growth of a thin sheet with perfect geometry. All the above mentioned analysis and the post-bifurcation behavior is analyzed by introducing the branching scheme proposed by Riks. The finite element formulation is based on the incremental deformation theory and elastic-plastic material modeling. in order to investigate the effect of plastic anisotropy on the compressive instability a square plate that is subjected to compression in one direction and tension in the other direction is analyzed by the above-mentionedfinite element analysis. The critical stress ratios above which the buckling does not take place are found for various plastic anisotropic modeling method and discussed. Finally the effect of plastic anisotropy on the puckering behavior in the spherical cup deep drawing process is investigated.

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