• 제목/요약/키워드: Continuation Method

검색결과 170건 처리시간 0.025초

Nonlinear stability and bifurcations of an axially accelerating beam with an intermediate spring-support

  • Ghayesh, Mergen H.;Amabili, Marco
    • Coupled systems mechanics
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    • 제2권2호
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    • pp.159-174
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    • 2013
  • The present work aims at investigating the nonlinear dynamics, bifurcations, and stability of an axially accelerating beam with an intermediate spring-support. The problem of a parametrically excited system is addressed for the gyroscopic system. A geometric nonlinearity due to mid-plane stretching is considered and Hamilton's principle is employed to derive the nonlinear equation of motion. The equation is then reduced into a set of nonlinear ordinary differential equations with coupled terms via Galerkin's method. For the system in the sub-critical speed regime, the pseudo-arclength continuation technique is employed to plot the frequency-response curves. The results are presented for the system with and without a three-to-one internal resonance between the first two transverse modes. Also, the global dynamics of the system is investigated using direct time integration of the discretized equations. The mean axial speed and the amplitude of speed variations are varied as the bifurcation parameters and the bifurcation diagrams of Poincare maps are constructed.

ON SUPERLINEAR p(x)-LAPLACIAN-LIKE PROBLEM WITHOUT AMBROSETTI AND RABINOWITZ CONDITION

  • Bin, Ge
    • 대한수학회보
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    • 제51권2호
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    • pp.409-421
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    • 2014
  • This paper deals with the superlinear elliptic problem without Ambrosetti and Rabinowitz type growth condition of the form: $$\{-div\((1+\frac{|{\nabla}u|^{p(x)}}{\sqrt{1+|{\nabla}u|^{2p(x)}}}})|{\nabla}u|^{p(x)-2}{\nabla}u\)={\lambda}f(x,u)\;a.e.\;in\;{\Omega}\\u=0,\;on\;{\partial}{\Omega}$$ where ${\Omega}{\subset}R^N$ is a bounded domain with smooth boundary ${\partial}{\Omega}$, ${\lambda}$ > 0 is a parameter. The purpose of this paper is to obtain the existence results of nontrivial solutions for every parameter ${\lambda}$. Firstly, by using the mountain pass theorem a nontrivial solution is constructed for almost every parameter ${\lambda}$ > 0. Then we consider the continuation of the solutions. Our results are a generalization of that of Manuela Rodrigues.

전력계통의 TTC(Total Transfer Capability) 산정을 위한 수송능력평가 프로그램 향상 (Enhancement Power System Transfer Capability Program (PSTCP) To Calculate Total Transfer Capability in Power Systems)

  • 김상암;이병준;송길영
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 C
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    • pp.1514-1516
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    • 1999
  • This paper presents a sequential framework that calculates the total transfer capabilities of power transmission systems. The proposed algorithm enhances the Power System Transfer Capability Program (PSTCP) in conjunction with the Continuation Power Flow(CPF) that is used for steady-state voltage stability analysis and modified Arnoldi-Chebyshev method that calculates rightmost eigenvalues for small signal stability analysis. The proposed algorithm is applied to IEEE 39-bus test system to calculate TTC.

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Dynamical behaviour of electrically actuated microcantilevers

  • Farokhi, Hamed;Ghayesh, Mergen H.
    • Coupled systems mechanics
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    • 제4권3호
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    • pp.251-262
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    • 2015
  • The current paper aims at investigating the nonlinear dynamical behaviour of an electrically actuated microcantilever. The microcantilever is excited by a combination of AC and DC voltages. The nonlinear equation of motion of the microcantilever is obtained by means of force and moment balances. A high-dimensional Galerkin scheme is then applied to reduce the equation of motion to a discrete model. A numerical technique, based on the pseudo-arclength continuation method, is used to solve the discretized model. The electrostatic deflection of the microcantilever and static pull-in instabilities, due to the DC voltage, are analyzed by plotting the so-called DC voltage-deflection curves. At the simultaneous presence of the DC and AC voltages, the nonlinear dynamical behaviour of the microcantilever is analyzed by plotting frequency-response and force-response curves.

A Framework for Determining Minimum Load Shedding for Restoring Solvability Using Outage Parameterization

  • Hwachang Song;Lee, Byongjun
    • KIEE International Transactions on Power Engineering
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    • 제4A권2호
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    • pp.73-78
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    • 2004
  • This paper proposes a framework for determining the minimum load shedding for restoring solvability. The framework includes a continuation power flow (CPF) and an optimal power flow (OPF). The CPF parameterizes a specified outage from a set of multiple contingencies causing unsolvable cases, and it traces the path of solutions with respect to the parameter variation. At the nose point of the path, sensitivity analysis is performed in order to achieve the most effective control location for load shedding. Using the control location information, the OPF for locating the minimum load shedding is executed in order to restore power flow solvability. It is highlighted that the framework systematically determines control locations and the proper amount of load shedding. In a numerical simulation, an illustrative example of the proposed framework is shown by applying it to the New England 39 bus system.

Creep analysis of CFT columns subjected to eccentric compression loads

  • Han, Bing;Wang, Yuan-Feng;Wang, Qian;Zhang, Dian-Jie
    • Computers and Concrete
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    • 제11권4호
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    • pp.291-304
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    • 2013
  • By considering the creep characteristics of concrete core under eccentric compression, a creep model of concrete filled steel tubes (CFT) columns under eccentric compressive loads is proposed based on the concrete creep model B3. In this proposed model, a discrete element method is introduced to transform the eccentric loading into axial loading. The validity of the model is verified by comparing the predicting results with the published creep experiments results on CFT specimens under compressive loading, together with the predicting values based on other concrete creep models, such as ACI209, CEB90, GL2000 and elastic continuation and plastic flow theory. By using the proposed model, a parameters study is carried out to analysis the effects of practical design parameters, such as concrete mix (e.g. water to cement ratio, aggregate to cement ratio), steel ratio and eccentricity ratio, on the creep of CFT columns under eccentric compressive loading.

가용송전용량 계산을 위한 최적화기법 응용 (Application of Optimization Technique for Available Transfer Capability Caculation)

  • 김규호;신동준;김진오;김태균
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 하계학술대회 논문집 A
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    • pp.183-185
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    • 2004
  • This paper deals with an application of optimization technique for available transfer capability(ATC) calculation. ATC is an important indicator of the usable amount of transmission capacity accessible by several parties for commercial trading. Sequential quadratic programming(SQP) is used to calculate the ATC problem with state-steady security constraints. The proposed method is applied to 10 machines 39 buses model systems. The results are discussed and compared to those obtained by continuation power flow(CPF).

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모바일 뱅킹에서 비밀퍼즐을 이용한 비밀증명방법과 거래승인방법 (Password Authentication and Transaction Confirmation Method Using Secret Puzzle on Mobile Banking)

  • 맹영재;양대헌;이경희
    • 정보보호학회논문지
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    • 제21권1호
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    • pp.187-199
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    • 2011
  • 모바일뱅킹에서 사용자인증과 거래승인을 보호하는 것은 매우 중요하다. 스마트폰에 설치된 악성 프로그램은 사용자가 입력하는 비밀을 얻어내거나 거래내용을 조작하여 사용자에게 승인하도록 유도할 수도 있다. 이 논문에서는 사용자의 비밀과 거래승인을 보호하기 위한 연구들의 보안성과 편의성을 분석하고, 이를 바탕으로 사용자의 비밀을 보호하고 문서의 내용을 조작하는 공격에 대응하는 방법을 제안한다.

고온연료의 점화 및 화염 소화특성에 미치는 복사효과 (Radiation Effects on the Ignition and Flame Extinction of High-temperature Fuel)

  • 김유정;오창보;최병일;한용식
    • 한국화재소방학회논문지
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    • 제27권6호
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    • pp.50-56
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    • 2013
  • 대향류 비예혼합 연료-공기 유동장에서 고온연료의 점화특성과 형성된 화염의 소화특성에 미치는 복사효과에 대해 수치계산을 통해 검토하였다. 화학반응의 계산을 위해 GRI-v3.0의 상세화학반응기구를 사용하였으며, 단열계산과 광학적으로 얇은 복사모델을 적용하여 계산을 수행하였다. 대향류 유동장의 점화와 소화점을 정확히 찾기 위하여 화염제어 연속계산법을 적용하였다. 결과를 통해 스트레인율 변화에 대해 최고 온도보다는 최고 H 라디칼 농도가 점화와 소화거동을 이해하는데 더 적합하다는 것을 확인하였다. 최고 H 라디칼 농도변화 거동을 통해 기존에 알려진 S-곡선, C-곡선 및 O-곡선 등을 확인하였다. 복사열손실 분율($f_r$)과 공간에 대해 적분된 열발생률(IHRR)을 통해 $f_r$이 가장 큰 점에서 복사효과에 의한 소화가 발생하였으며, 화염신장 소화점에서는 IHRR이 가장 높지만 화염에서의 전도에 의한 열손실로 인해 소화가 되는 것을 확인하였다. 복사는 화염신장 소화점에는 거의 영향이 없지만 복사 소화점과 점화점에는 큰 영향을 주는 것을 알 수 있었다. 또한 연료의 온도가 높아질수록 복사에 의한 소화점의 스트레인율과 화염신장에 의한 스트레인율 사이의 영역이 넓어지게 되어 화염 안정성이 향상되고 있음을 알 수 있었다.

중력 포텐셜에서의 웨이브렛 생성과 응용 (Wavelet Generation and It's Application in Gravity Potential)

  • 김삼태;진홍성;임형래
    • 한국지구과학회지
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    • 제25권2호
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    • pp.109-114
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    • 2004
  • 중력 포텐셜의 해석에 웨이브렛 변환 방법을 적용하였다. 웨이브렛을 만드는 단계 함수가 제안되었다. 단계 함수는 중력 포텐셜에서의 그린 함수로 대치될 수 있음이 보여졌다. 상향연속은 단계함수와의 컨볼루션 곧 웨이브렛 변환으로 표현될 수 있다. 단계인자는 높이 변화를 나타낸다. 다중경계는 각 단계에서의 웨이브렛 변환치의 국부 최대값을 연결하여 구해지며 이는 지층의 불연속면을 나타낸다. 다중경계 방법을 마산 창원지역의 중력자료에 적용하였다.