• 제목/요약/키워드: bifurcation analysis

검색결과 264건 처리시간 0.02초

분지관 내 물체 주위 맥동류에 대한 CFD 해석 (CFD ANALYSIS FOR A PULSATILE FLOW AROUND A BODY INSIDE A BIFURCATED TUBE)

  • 황도연;유성수;이명수;한병윤;박형구
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2009년 춘계학술대회논문집
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    • pp.183-190
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    • 2009
  • The objective of this study is to get simulation data about pulsatile flow around an interior solid body inside a bifurcated tube. All the processes were based on CFD method, with a commercial FVM code, SC/Tetra ver. 6.0 for solving, and with CATIA R16 for generating geometries. The bifurcated tube models were drawn with the bifurcated angle of 45 degrees, considering Murray's law about the diameter ratio. With various locations of the object, the effects of flow on the drag were considered. For the pulsating flow condition, the velocity wave profile was given as the inlet boundary condition. To validate all the result, the simulation was compared with the existing data of the other papers first. Overall flow field of both data were similar, but there was some difference at a zero velocity. Therefore the next simulation was continued with the sine wave profiles where there is no negative flow, and then the data was compared with one of the pulmonary artery velocity where there is negative flow. The final process was to calculate flow variables such as the wall shear stress (WSS) and to compute the drag of the solid object.

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DYNAMIC ANALYSIS OF A PERIODICALLY FORCED HOLLING-TYPE II TWO-PREY ONE-PREDATOR SYSTEM WITH IMPULSIVE CONTROL STRATEGIES

  • Kim, Hye-Kyung;Baek, Hun-Ki
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제14권4호
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    • pp.225-247
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    • 2010
  • In this paper, we establish a two-competitive-prey and one-predator Holling type II system by introducing a proportional periodic impulsive harvesting for all species and a constant periodic releasing, or immigrating, for the predator at different fixed time. We show the boundedness of the system and find conditions for the local and global stabilities of two-prey-free periodic solutions by using Floquet theory for the impulsive differential equation, small amplitude perturbation skills and comparison techniques. Also, we prove that the system is permanent under some conditions and give sufficient conditions under which one of the two preys is extinct and the remaining two species are permanent. In addition, we take account of the system with seasonality as a periodic forcing term in the intrinsic growth rate of prey population and then find conditions for the stability of the two-prey-free periodic solutions and for the permanence of this system. We discuss the complex dynamical aspects of these systems via bifurcation diagrams.

제형파형강판 복부판의 탄성 연성전단좌굴 거동 (Elastic Interactive Shear Buckling Behavior of Trapezoidally Corrugated Steel Webs)

  • 이종원;길흥배;이학은
    • 한국강구조학회 논문집
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    • 제17권6호통권79호
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    • pp.707-715
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    • 2005
  • 파형강판은 파형 형상으로 가공된 강판으로 높은 면내, 면외 방향의 강성을 갖으며, 건물, 교량 등으로 적용도가 높아지고 있다. 파형강판을 플레이트 거더나 프리스트레스트 박스거더교의 복부판으로 적용하면, 파형강판의 아코디언 효과에 의해 플랜지가 휨응력을 복부판이 전단응력을 대부분 지지하는 효율적인 구조를 얻을 수 있다. 전단응력을 받는 파형 강판은 전체좌굴, 국부좌굴 및 연성좌굴에 의해 내하력을 상실할 수 있다. 세 가지 좌굴 모드 중 연성 좌굴에 대한 명확한 분석은 거의 이루어지지 않았고 보수적인 강도 예측을 위한 강도 감소식이 사용되고 있다. 따라서 본 연구에서는 연성 좌굴 거동에 미치는 기하학적인 인자들의 영향을 파악하기 위하여 유한요소해석법을 이용한 좌굴해석이 수행되었다. 해석 결과는 연성 좌굴은 패널의 세장비와 북부판 높이 두께비의 복합변수에 의존하는 것으로 나타났다.

Chaotic Rocking Vibration of a Rigid Block with Sliding Motion Under Two-Dimensional Harmonic Excitation

  • Jeong, Man-Yong;Kim, Jeong-Ho;Yang, In-Young
    • Journal of Mechanical Science and Technology
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    • 제16권9호
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    • pp.1040-1053
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    • 2002
  • This research deals with the influence of nonlinearities associated with impact and sliding upon the rocking behavior of a rigid block, which is subjected to two-dimensional horizontal and vertical excitation. Nonlinearities in the vibration were found to depend strongly on the effect of the impact between the block and the base, which involves an abrupt reduction in the system's kinetic energy. In particular, when sliding occurs, the rocking behavior is substantially changed. Response analysis using a non-dimensional rocking equation was carried out for a variety of excitation levels and excitation frequencies. The chaos responses were observed over a wide response region, particularly, in the cases of high vertical displacement and violent sliding motion, and the chaos characteristics appear in the time histories, Poincare maps, power spectra and Lyapunov exponents of the rocking responses. The complex behavior of chaotic response, in phase space, is illustrated by the Poincare map. The distribution of the rocking response is described by bifurcation diagrams and the effects of sliding motion are examined through the several rocking response examples.

생태계 복원사업의 생태.경제 통합체계 동태분석(II) -임진강 참게 복원사업의 확장모형- (An Integrated Ecological-Economic System Dynamics Model Analysis on the Ecosystem Restoration Policy (II): Extensions and Relaxations of the Model of King Crabs in the Imjin River, Korea)

  • 정회성;전대욱
    • 한국시스템다이내믹스연구
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    • 제7권2호
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    • pp.97-120
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    • 2006
  • This paper deals with the extension of and discussion on the System Dynamics model (Jeong & Jeon, 2005) of river crabs in Korea. The previous model has been elaborated to empirically search for the optimal restoration and harvest rates of crabs in the Imjin River, on the basis of theoretical models of population dynamics in the field of bio-mathematics and environmental economics. In this paper, the authors tries to couple a series of new feedback loops related to density restrictions and cannibalistic behaviors with a stage-structured model of the crab ecosystem, and also to endogenize the parameter of baby crabs' survival that is caused by water quality improvement and income increase. Through these extensions and relaxations, the authors are able to argue about the strategic decision of the optimal rates additional considerations as well as the properties of the integrated system that was not covered in the previous paper.

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쉘형 스페이스 프레임 구조물의 하중 및 경계조건에 따른 불안정 거동에 관한 연구 (A Study on the Unstable behavior according to Lode and boundary condition of shelled space frame structure)

  • 김남석;손수덕;김승덕
    • 한국공간구조학회:학술대회논문집
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    • 한국공간구조학회 2008년도 춘계 학술발표회 논문집
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    • pp.80-85
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    • 2008
  • 본 논문에서는 쉘형 스페이스 프레임 구조물의 구조 불안정 특성을 조사한다. 대공간 구조물은 대경간을 가볍게 만들기 위해 두께비를 얇게 만들어야 하므로, 구조설계시 구조불안정 검토가 중요하다. 쉘형 구조물의 구조불안정은 다양한 조건에 따라 민감하게 반응하며, 이는 대변형을 수반하는 비선형 문제에 귀착하게 된다. 따라서 본 연구에서는 기하학적 비선형을 고려한 수치해석 기법을 통하여 쉘형 스페이스 프레임 구조물의 하중 및 경계조건에 따른 불안정 거동을 비교하고, 불안정 현상에 미치는 영향을 파악하여 기초적인 붕괴 메커니즘을 규명한다.

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프레임형 대공간 구조물의 절점강성변화에 따른 불안정 현상과 임계좌굴하중 (Unstable Behaviour and Critical Buckling Load of Framed Large Spatial Structures in accordance with the Variation of Joint Rigidity)

  • 손수덕;이승재;이동우;김승덕
    • 한국공간구조학회논문집
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    • 제14권3호
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    • pp.47-56
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    • 2014
  • This paper investigates the characteristics of unstable behaviour and critical buckling load by joint rigidity of framed large spatial structures which are sensitive to initial conditions. To distinguish the stable from the unstable, a singular point on equilibrium path and a critical buckling level are computed by the eigenvalues and determinants of the tangential stiffness matrix. For the case study, a two-free node example and a folded plate typed long span example with 325 nodes are adopted, and these adopted examples' nonlinear analysis and unstable characteristics are analyzed. The numerical results in the case of the two-free node example indicate that as the influence of snap-through is bigger; that of bifurcation buckling is lower than that of the joint rigidity as the influence of snap-through is lower. Besides, when the rigidity decreases, the critical buckling load ratio increases. These results are similar to those of the folded-typed long span example. When the buckling load ratio is 0.6 or less, the rigidity greatly increases.

협착이 발생된 관상동맥에 대한 이식우회로술의 효과분석 (Analysis of Bypass Grafting Effects in Stenosed Coronary Arteries)

  • 김형호;서상호;이정상
    • 대한기계학회논문집B
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    • 제36권2호
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    • pp.153-159
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    • 2012
  • 협착이 발생된 관상동맥의 치료를 위해 외과적인 수술방법으로는 이식우회로술이 많이 사용된다. 이식우회로술 시술 시 개존율 향상을 위해서는 최적의 혈관 문합 시술에 대한 연구가 필요하다. 본 연구의 목적은 Y-grafting bypass 와 T-grafting bypass 시술의 효과와 분지각도 및 문합각도 변화에 따른 문합효과를 분석하였다. 이를 위해 기하학적 형상을 최적화하고 각각의 기하학적 형상에 대해 혈류역학적 특성을 비교분석하였다. 이식혈관의 분지각도와 문합각도가 각각 $30^{\circ}$$15^{\circ}$일 경우에 LAD 와 LCX 쪽 모두 혈류량이 고르게 분배됨을 확인하였다.

비선형 진동계 정규모드의 수치적 계산 연구 (Research on Numerical Calculation of Normal Modes in Nonlinear Vibrating Systems)

  • 이경현;한형석;박성호;전수홍
    • 한국소음진동공학회논문집
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    • 제26권7호
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    • pp.795-805
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    • 2016
  • Nonlinear normal modes(NNMs) is a branch of periodic solution of nonlinear dynamic systems. Determination of stable periodic solution is very important in many engineering applications since the stable periodic solution can be an attractor of such nonlinear systems. Periodic solutions of nonlinear system are usually calculated by perturbation methods and numerical methods. In this study, numerical method is used in order to calculate the NNMs. Iteration of the solution is presented by multiple shooting method and continuation of solution is presented by pseudo-arclength continuation method. The stability of the NNMs is analyzed using Floquet multipliers, and bifurcation points are calculated using indirect method. Proposed analyses are applied to two nonlinear numerical models. In the first numerical model nonlinear spring-mass system is analyzed. In the second numerical model Jeffcott rotor system which has unstable equilibria is analyzed. Numerical simulation results show that the multiple shooting method can be applied to self excited system as well as the typical nonlinear system with stable equilibria.

Light intensity controlled wrinkling patterns in photo-thermal sensitive hydrogels

  • Toh, William;Ding, Zhiwei;Ng, Teng Yong;Liu, Zishun
    • Coupled systems mechanics
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    • 제5권4호
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    • pp.315-327
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    • 2016
  • Undergoing large volumetric changes upon incremental environmental stimulation, hydrogels are interesting materials which hold immense potentials for utilization in a wide array of applications in diverse industries. Owing to the large magnitudes of deformation it undergoes, swelling induced instability is a commonly observed sight in all types of gels. In this work, we investigate the instability of photo-thermal sensitive hydrogels, produced by impregnating light absorbing nano-particles into the polymer network of a temperature sensitive hydrogel, such as PNIPAM. Earlier works have shown that by using lights of different intensities, these hydrogels follow different swelling trends. We investigate the possibility of utilizing this fact for remote switching applications. The analysis is built on a thermodynamic framework of inhomogeneous large deformation of hydrogels and implemented via commercial finite element software, ABAQUS. Various examples of swelling induced instabilities, and its corresponding dependence on light intensity, will be investigated. We show that the instabilities that arise have their morphologies dependent on the light intensity.