• 제목/요약/키워드: bifurcation mode

검색결과 64건 처리시간 0.024초

Dynamic Analysis of a Geometrical Non-Linear Plate Using the Continuous-Time System Identification

  • Lim, Jae-Hoon;Choi, Yeon-Sun
    • Journal of Mechanical Science and Technology
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    • 제20권11호
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    • pp.1813-1822
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    • 2006
  • The dynamic analysis of a plate with non-linearity due to large deformation was investigated in this study. There have been many theoretical and numerical analyses of the non-linear dynamic behavior of plates examining theoretically or numerically. The problem is how correctly an analytical model can represent the dynamic characteristics of the actual system. To address the issue, the continuous-time system identification technique was used to generate non-linear models, for stiffness and damping terms, and to explain the observed behaviors with single mode assumption after comparing experimental results with the numerical results of a linear plate model.

저압 열전자 방전 플라즈마의 Monte Carlo 시뮬레이션 (Monte Carlo Simulation of Thermionic Low Pressure Discharge Plasma)

  • 고욱희
    • 전기학회논문지
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    • 제61권12호
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    • pp.1880-1885
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    • 2012
  • Nonlinear dynamical behaviors in thermionic low pressure discharge are investigated using a particle-in-cell(PIC) simulation. An electrostatic PIC code is developed to model the plasma discharge system including the kinetic effects. The elastic collision, excitation collision, ionization collision, and electron-ion recombination collision are considered in this code. The generated electrons and ions are traced to analyze physical characteristics of the plasma. The simulation results show that the nonlinear oscillation structures are observed for cold plasma in the system and the similar structures are observed for warm plasma with a shift in values of the bifurcation parameter. The detailed oscillation process can be subdivided into three distinct mode; anode-glow, temperature-limited, and double-layer modes.

돔형 스페이스 프레임 구조물의 하중모드에 따른 분기점 특성에 관한 연구 (A Study on the Critical Point and Bifurcation According to Load Mode of Dome-Typed Space Frame Structures)

  • 손수덕;김승덕;이승재;김종식
    • 한국공간구조학회논문집
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    • 제11권1호
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    • pp.121-130
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    • 2011
  • 스페이스 프레임 구조물은 연속체 쉘 구조물의 원리를 이용하여 매우 넓은 공간을 효과적 으로 덮을 수 있는 구조물이지만 뜀좌굴 및 분기좌굴 등과 같은 불안정거동은 돔형 구조물에서는 더욱 복잡하게 나타난다. 또한 붕괴메커니즘의 이론적 연구와 실험적 연구결과들 사이에서도 많은 차이를 보인다. 본 논문에서는 미적 효과가 크며 단층의 대공간을 확보하기에 적합한 돔형 공간 구조물의 구조 불안정 특성을 접선강성방정식을 이용하여 비선형 증분해석을 수행하고, Rise-span(${\mu}$)비 및 하중모드($R_L$)에 따른 임계점과 분기점의 특성을 돔형 공간구조물의 예제를 통해 고찰하였다. 여기서 불안정점은 증분해석과정을 통해서 예측할 수 있었으며, 예제에서 낮은 ${\mu}$에서는 전체좌굴이, 높은 ${\mu}$의 경우는 절점좌굴이 지배적이며, 낮은 $R_L$에서 정점좌굴이, 높은 $R_L$에서는 전체좌굴이 지배적이고, 전체좌굴이 나타나는 경우, 분기좌굴하중은 완전형상의 극한점좌굴하중의 약 50%에서 70%의 분포를 보였다.

수직 진동하는 소수성 표면 위 액적의 내부유동 및 증발특성 연구 (Internal Flow and Evaporation Characteristic inside a Water Droplet on a Vertical Vibrating Hydrophobic Surface)

  • 김훈;임희창
    • 대한기계학회논문집B
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    • 제39권7호
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    • pp.579-589
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    • 2015
  • 본 연구의 목적은 수직으로 강제 진동하는 소수성 표면 위에 놓인 액적의 유동 및 증발 특성을 이해하는 것이다. 액적의 공진주파수를 예측하기 위해서 Lamb과 Strani and Sabetta의 이론적 고유진동수식을 이용하였고, 실험값과 비교하여 보다 근접한 고유진동수 식에 대해 타당성을 검증하였다. 액적의 형상 및 내부 유동을 가시화하기 위해 초고속카메라, 초접사렌즈 그리고 연속광을 사용하여 진동하는 소수성 표면 위 액적의 유동 및 증발 특성을 확인하였다. 그 결과 각각의 모드에서 액적은 다양한 형상을 가졌으며, 각각의 액적 내부에서 복잡한 와류가 관찰되었다. 일반적으로, 유동흐름이 대칭축을 따라 위로 상승하여 액적상단에서 표면을 따라 접촉선부근으로 이동하였고, 2차, 4차 모드는 분기형, 6차, 8차 모드는 큰 타원형의 유동패턴을 갖는 것을 확인하였다. 여러 가지 모드 중 4차 모드에서 가장 빠른 유동속도를 가졌으며, 다음은 8, 6, 2차 모드 순서였다. 네 가지 진동 모드에서의 증발률은 4, 8, 6, 2차 모드 순서로 빨랐으며, 각각의 공진에서는 그 주위 주파수 영역보다 빠른 증발률을 보였다. 마지막으로 진동을 이용한 액적의 증발은 4차 모드에서 진행되어야 보다 효율적인 진동 증발을 유도할 수 있다.

경피신경전기자극기를 이용한 비지각적 감각자극 강도가 뇌혈류에 미치는 영향 (Effect of Non-perceptual Sensory Stimulation Intensity Using Transcutaneous Electrical Nerve Stimulation on Cerebral Blood Flow)

  • 정주연;강창기
    • 감성과학
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    • 제27권2호
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    • pp.81-90
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    • 2024
  • 본 연구에서는 경피신경전기자극(TENS)을 이용하여 다양한 자극 강도에 따른 뇌혈관에 미치는 영향을 확인하고자 한다. 특히 비지각적 감각의 전기자극을 통해 총경동맥(CCA)에서의 혈류 변화 및 혈관의 구조적인 변화를 확인해 보고자 한다. 본 연구에는 20대의 건강한 성인 24명이 참여하였다. 자극 강도는 감각 역치 미만, 감각 역치, 그리고 감각 역치 초과 세 가지를 각각 랜덤 순서로 적용하였다. 측정위치는 CCA 분기점의 1cm 하단에서 측정하였고, 혈류속도는 C-mode 도플러, 혈관의 구조는 B-mode 영상을 통해 측정하였다. 측정은 각각의 자극별로 중재 전, 중재 중, 그리고 중재 후에 수행하였고 각 세션마다 혈압의 변화를 측정하였다. 그 결과 최고 수축기 속도(PSV)는 역치미만의 비지각적 감각자극에서 중재 후 유의하게 감소함이 확인되었다(p = .008). 역치 미만의 자극 후 PSV는 자극 전보다 평균 3.04% 유의하게 감소한 것으로 나타났다(p = .011). 반면 CCA의 혈관 직경의 변화는 모든 강도에서 자극 전후 유의한 변화가 나타나지 않았다. 본 연구에서 적용한 단시간의 비지각적 전기자극이 혈관의 직경이나 혈압의 유의한 변화를 주지 않으면서 즉각적인 혈류속도 감소에 효과가 있음을 발견했다. 따라서 본 연구는 경동맥 부위에 환자의 불편함과 부작용이 없는 전기자극을 통해 뇌혈류의 조절이 가능하다는 것을 보여주는 중요한 시도로 평가될 수 있다.

돔형 공간 구조물의 Rise-span 비에 따른 불안정 거동 특성에 관한 연구 (A Study on the Unstable behavior According to rise-span ratio of dome type space frame)

  • 손수덕;김승덕;강문명
    • 한국공간정보시스템학회:학술대회논문집
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    • 한국공간정보시스템학회 2004년도 춘계 학술발표회 논문집 제1권1호(통권1호)
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    • pp.75-82
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    • 2004
  • Many researcher's efforts have made a significant advancement of space frame structure with various portion, and it becomes the most outsanding one of space structures. However, with the characteristics of thin and long term of spacing, the unstable behavior of space structure is shown by initial imperfection, erection procedure or joint, especially space frame structure represents more. This kind of unstable problem could not be set up clearly and there is a huge difference between theory and experiment. Moreover, the discrete structure such as space frame has more complex solution, this it is not easy to derive the formulation of design about space structure. In this space frame structure, the character of rise-span ratio or load mode is represented by the instability of space frame structure with initial imperfection, and snap-through or bifurcation might be the main phenomenon. Therefore, in this study, space frame structure which has a lot of aesthetic effect and profitable for large space covering single layer is dealt. And because that the unstable behavior due to variation of inner force resistance in the elastic range is very important collapse mechanism, I would like to investigate unstable character as a nonlinear behavior with a geometric nonlinear. In order to study the instability. I derive tangent stiffness matrix using finite element method and with displacement incremental method perform nonlinear analysis of unit space structure, star dome and 3-ring star dome considering rise-span $ratio(\mu}$ and load $ratio(R_L)$ for analyzing unstable phenomenon.

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Large-scale and small-scale self-excited torsional vibrations of homogeneous and sectional drill strings

  • Gulyayev, V.I.;Glushakova, O.V.
    • Interaction and multiscale mechanics
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    • 제4권4호
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    • pp.291-311
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    • 2011
  • To simulate the self excited torsional vibrations of rotating drill strings (DSs) in vertical bore-holes, the nonlinear wave models of homogeneous and sectional torsional pendulums are formulated. The stated problem is shown to be of singularly perturbed type because the coefficient appearing before the second derivative of the constitutive nonlinear differential equation is small. The diapasons ${\omega}_b\leq{\omega}\leq{\omega}_l$ of angular velocity ${\omega}$ of the DS rotation are found, where the torsional auto-oscillations (of limit cycles) of the DS bit are generated. The variation of the limit cycle states, i.e. birth (${\omega}={\omega}_b$), evolution (${\omega}_b<{\omega}<{\omega}_l$) and loss (${\omega}={\omega}_l$), with the increase in angular velocity ${\omega}$ is analyzed. It is observed that firstly, at birth state of bifurcation of the limit cycle, the auto-oscillation generated proceeds in the regime of fast and slow motions (multiscale motion) with very small amplitude and it has a relaxation mode with nearly discontinuous angular velocities of elastic twisting. The vibration amplitude increases as ${\omega}$ increases, and then it decreases as ${\omega}$ approaches ${\omega}_l$. Sectional drill strings are also considered, and the conditions of the solution at the point of the upper and lower section joints are deduced. Besides, the peculiarities of the auto-oscillations of the sectional DSs are discussed.

Dynamics and instability of the Karman wake mode induced by periodic forcing

  • Mureithi, Njuki W.
    • Wind and Structures
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    • 제7권4호
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    • pp.265-280
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    • 2004
  • This paper presents some fundamental results on the dynamics of the periodic Karman wake behind a circular cylinder. The wake is treated like a dynamical system. External forcing is then introduced and its effect investigated. The main result obtained is the following. Perturbation of the wake, by controlled cylinder oscillations in the flow direction at a frequency equal to the Karman vortex shedding frequency, leads to instability of the Karman vortex structure. The resulting wake structure oscillates at half the original Karman vortex shedding frequency. For higher frequency excitation the primary pattern involves symmetry breaking of the initially shed symmetric vortex pairs. The Karman shedding phenomenon can be modeled by a nonlinear oscillator. The symmetrical flow perturbations resulting from the periodic cylinder excitation can also be similarly represented by a nonlinear oscillator. The oscillators represent two flow modes. By considering these two nonlinear oscillators, one having inline shedding symmetry and the other having the Karman wake spatio-temporal symmetry, the possible symmetries of subsequent flow perturbations resulting from the modal interaction are determined. A theoretical analysis based on symmetry (group) theory is presented. The analysis confirms the occurrence of a period-doubling instability, which is responsible for the frequency halving phenomenon observed in the experiments. Finally it is remarked that the present findings have important implications for vortex shedding control. Perturbations in the inflow direction introduce 'control' of the Karman wake by inducing a bifurcation which forces the transfer of energy to a lower frequency which is far from the original Karman frequency.

구조시스템에 따른 케이블 돔의 정적 불안정거동 특성에 관한 연구 (A Study of Static Unstable Behavioral Characteristics of Cable Dome Structures according to the Structural System)

  • 조인기;김형석;김승덕;강문명
    • 한국공간정보시스템학회:학술대회논문집
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    • 한국공간정보시스템학회 2004년도 춘계 학술발표회 논문집 제1권1호(통권1호)
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    • pp.131-138
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    • 2004
  • The cable structure is a kind of ductile structural system using the tension cable and compression column as a main element. From mechanical characteristics of the structural material, it is profitable to be subjected to the axial forces than bending moment or shear forces. And we haweto consider the local buckling when it is subjected to compression forces, but tension member can be used until the failure strength. So we can say that the tension member is the most excellent structural member. Cable dome structures are made up of only the tension cable and compression column considering these mechanical efficiency and a kind of structural system. In this system, the compression members are connected by using tension members, not connected directly each other. Also, this system is lightweight and easy to construct. But, the cable dome structural system has a danger of global buckling as external load increases. That is, as the axisymmetric structure is subjected to the axisymmetric load, the unsymmetric deformation mode is happened at some critical point and the capacity of the structure is rapidly lowered by this reason. This phenomenon Is the bifurcation and we have to reflect this in the design process of the large space structures. In this study, We investigated the nonlinear unstable phenomenon of the Geiger, Zetlin and Flower-type cable dome.

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절점 강성을 고려한 공간 구조물의 비선형 불안정 거동에 관한 연구 (A Study of Nonlinear Unstable Phenomenon of Framed Space Structures Considering Joint Rigidity)

  • 손수덕;김승덕;황경주;강문명
    • 한국공간구조학회논문집
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    • 제3권1호
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    • pp.87-97
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    • 2003
  • The structural system that discreterized from continuous shells is frequently used to make a large space structures. As well these structures show the unstable phenomena when a load level over the limit load, and snap-through and bifurcation are most well known of it. For the collapse mechanism, rise-span ratio, element stiffness and load mode are main factor, which it give an effect to unstable behavior. In our real situation, most structures have semi-rigid joint that has middle characteristic between pin and rigid joint. So the knowledge of semi-rigid joint is very important problem of stable large space structure. And the instability phenemena of framed space structures show a strong non-linearity and very sensitive behavior according to the joint rigidity For this reason In this study, we are investigating to unstable problem of framed structure with semi-rigidity and to grasp the nonlinear instability behavior that make the fundamental collapse mechanism of the large space frame structures with semi-rigid joint, by proposed the numerical analysis method. Using the incremental stiffness matrix in chapter 2, we study instability of space structures.

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