• 제목/요약/키워드: chaotic motion

검색결과 80건 처리시간 0.022초

Dynamical Rolling Analysis of a Vessel in Regular Beam Seas

  • Lee, Sang-Do;You, Sam-Sang
    • 해양환경안전학회지
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    • 제24권3호
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    • pp.325-331
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    • 2018
  • This paper deals with the dynamical analysis of a vessel that leads to capsize in regular beam seas. The complete investigation of nonlinear behaviors includes sub-harmonic motion, bifurcation, and chaos under variations of control parameters. The vessel rolling motions can exhibit various undesirable nonlinear phenomena. We have employed a linear-plus-cubic type damping term (LPCD) in a nonlinear rolling equation. Using the fourth order Runge-Kutta algorithm with the phase portraits, various dynamical behaviors (limit cycles, bifurcations, and chaos) are presented in beam seas. On increasing the value of control parameter ${\Omega}$, chaotic behavior interspersed with intermittent periodic windows are clearly observed in the numerical simulations. The chaotic region is widely spread according to system parameter ${\Omega}$ in the range of 0.1 to 0.9. When the value of the control parameter is increased beyond the chaotic region, periodic solutions are dominant in the range of frequency ratio ${\Omega}=1.01{\sim}1.6$. In addition, one more important feature is that different types of stable harmonic motions such as periodicity of 2T, 3T, 4T and 5T exist in the range of ${\Omega}=0.34{\sim}0.83$.

Possibility of Chaotic Motion in the R&D Activities in Korea

  • Loh, Jeunghwee
    • Journal of Information Technology Applications and Management
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    • 제21권3호
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    • pp.1-17
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    • 2014
  • In this study, various characteristics of R&D related economic variables were studied to analyze complexity of science and technology activities in Korea, as reliance of R&D activities of the private sector is growing by the day. In comparison to other countries, this means that it is likely to be fluctuated by economic conditions. This complexity characteristic signifies that the result of science and technology activities can be greatly different from the anticipated results - depending on the influences from economic conditions and the results of science and technology activities which may be unpredictable. After reviewing the results of 17 variables related to science and technology characteristics of complex systems intended for time-series data - in the total R&D expenditure, and private R&D expenditure, numbers of SCI papers, the existence of chaotic characteristics were. using Lyapunov Exponent, Hurst Exponent, BDS test. This result reveals science and technology activity of the three most important components in Korea which are; heavy dependence on initial condition, the long term memory of time series, and non-linear structure. As stable R&D investment and result are needed in order to maintain steady development of Korea economy, the R&D structure should be less influenced by business cycles and more effective technology development policy for improving human resource development must be set in motion. And to minimize the risk of new technology, the construction of sophisticated technology forecasting system should take into account, for development of R&D system.

Duffing 방정식을 가진 MEMS에서의 카오스 현상 (Chaotic Phenomena in MEMS with Duffing Equation)

  • 배영철
    • 한국전자통신학회논문지
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    • 제6권5호
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    • pp.709-716
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    • 2011
  • 최근 센서 네트워크 등이 대량으로 설치되면서 전원에 대한 유지보수의 어려움을 자지고 있다. 이를 해결하기 위한 방법으로 센서 네트워크에 MEMS 발진기를 삽입하여 MEMS 발생하는 진동을 이용한 전원 개발이 관심을 받고 있다. 본 논문에서는 MEMS 시스템에서 전원 신호로 사용할 수 있는 진동 신호를 발생시키기 위한 방법의 하나로 Duffing 방정식으로 구성하는 MEMS 시스템을 제안하고 이 시스템의 진동신호에서 카오스적인 거동을 컴퓨터 시뮬레이션으로 확인하고 검증하였다. 검증 방법으로 파라미터 변화에 의한 주기 운동과 카오스 운동이 있음을 시계열 데이터, 위상 공간, 전력 스펙트럼, 포엔카레 멥을 통하여 확인하였다.

공초점 현미경을 이용한 마이크로믹서 내부의 3차원 이미지화 (3-D Imaging in a Chaotic Micromixer Using Confocal Laser Scanning Microscopy (CLSM))

  • 김현동;김경천
    • 한국가시화정보학회:학술대회논문집
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    • 한국가시화정보학회 2006년도 추계학술대회 논문집
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    • pp.96-101
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    • 2006
  • 3-D visualization using confocal laser scanning microscopy (CLSM) in a chaotic micromixer was performed as a reproduction experiment and the feasibility of 3-0 imaging technique in the microscale was confirmed. For diagonal micromixer (DM) and two types of staggered herringbone micromixers (SHM) designed by Whitesides et al., to verify the evolution of mixing, cross sectional images are reconstructed at the end of every cycle. In a DM, clockwise rotational flow motion generated by diagonal ridges placed on the floor of micromixer is observed and this motion makes the fluid commingle. On the contrary, there are two rotational flow structures in the SHM and the centers of rotation exchange their position each other every half cycle because of the V shape of ridges varying their orientation every half cycle. Local rotational flow and local extensional flow generated by the complicate ridge pattern make the flow be chaotic and accelerate the mixing of fluid. The dominant parameter that influences on the mixing characteristic of SHM is not the length of micromixer but the number of ridges under the same flow configurations.

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Bonhoeffer Van der Pol 오실레이터 모델의 하드웨어 구현에 의한 카오스 운동 해석 (The chaotic motion analysis by hardware implementation of Bonhoeffer Van der Pol oscillation model)

  • 배영철;서삼문;임화영
    • 한국정보처리학회논문지
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    • 제3권4호
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    • pp.877-882
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    • 1996
  • Bonhoeffer-Van der Pol(BVP)모델을 실제 소자값을 이용하여 하드웨어를 구현하고 A1 coswt를 인가하여 주기 운동과 카오스 운동을 조사하였다. BVP모델의 하드웨어를 구성하기 위해 컴퓨터 시뮬레이션〔11〕에 의해 구현된 결과를 이용하여 실제 소자값 으로 Rescaling 하였으며 각 계수의 값을 a=0.7, b=0.8, c=0.1로 정하고 주기적 자극 전류의 진폭을 0에서 1.3까지 변화시켜 주기운동에서 카오스 운동으로 천이됨을 위 상공간, 시계열 데이터로 확인하였다.

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Chaotic phenomena in the organic solar cell under the impact of small particles

  • Jing, Pan;Zhe, Jia;Guanghua, Zhang
    • Steel and Composite Structures
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    • 제46권1호
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    • pp.15-31
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    • 2023
  • Organic solar cells utilized natural polymers to convert solar energy to electricity. The demands for green energy production and less disposal of toxic materials make them one of the interesting candidates for replacing conventional solar cells. However, the different aspects of their properties including mechanical strength and stability are not well recognized. Therefore, in the present study, we aim to explore the chaotic responses of these organic solar cells. In doing so, a specific type of organic solar cell constructed from layers of material with different thicknesses is considered to obtain vibrational and chaotic responses under different boundaries and initial conditions. A square plate structure is examined with first-order shear deformation theory to acquire the displacement field in the laminated structure. The bounding between different layers is considered to be perfect with no sliding and separation. On the other hand, nonlocal elasticity theory is engaged in incorporating the structural effects of the organic material into calculations. Hamilton's principle is adopted to obtain governing equations with regard to boundary conditions and mechanical loadings. The extracted equations of motion were solved using the perturbation method and differential quadrature approach. The results demonstrated the significant effect of relative glass layer thickness on the chaotic behavior of the structure with higher relative thickness leading to less chaotic responses. Moreover, a comprehensive parameter study is presented to examine the effects of nonlocality and relative thicknesses on the natural frequency of square organic solar cell structure.

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.

Nonlinear vibration of laminated composite plates subjected to subsonic flow and external loads

  • Norouzi, Hamed;Younesian, Davood
    • Steel and Composite Structures
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    • 제22권6호
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    • pp.1261-1280
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    • 2016
  • We study chaotic motion in a nonlinear laminated composite plate under subsonic fluid flow and a simultaneous external load in this paper. We derive equations of motion of the plate using the von-$K{\acute{a}}rm{\acute{a}}n^{\prime}s$ hypothesis and the Hamilton's principle. Galerkin's approach is adopted as the solution method. We then conduct a divergence analysis to obtain critical velocities of the transient flow. Melnikov's integral approach is used to find the critical parameters in which chaos takes place. Effects of different parameters including the aspect ratio, plate material and the ply angle in laminates on the critical flow speed are investigated. In a parametric study, we show that how the linear and nonlinear stiffness of the plate and the load frequency and amplitude would influence the chaotic behavior of the plate.

분기 모우드를 활용한 얇은 빔의 혼돈 역학에 관한 연구 (On the Chaotic Vibrations of Thin Beams by a Bifurcation Mode)

  • 이영섭;주재만;박철희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1995년도 춘계학술대회논문집; 전남대학교, 19 May 1995
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    • pp.121-128
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    • 1995
  • The results are summarized as what follows: 1) The modeling of thin beams, which is a continuous system, into a two DOF system yields satisfactory results for the chaotic vibrations. 2) The concept of "natural forcing function" derived from the eigenfunction of the bifurcation mode is very useful for the natural responses of the system. 3) Among the perturbation techniques, HBM is a good estimate for the response when the geometry of motion is known. 4) It is known that there exist periodic solutions of coupled mode response for somewhat large damping and forcing amplitude, as well as weak damping and forcing. 5) The route-to-chaos related with lateral instability in thin beams is composed of period-doubling and quasiperiodic process and finally follows discontinuous period-doubling process. 6) The chaotic vibrations are verified by using Poincare maps, FFT's, time responses, trajectories in the configuration space, and the very powerful technique Lyapunov characteristics exponents.exponents.

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BVP 오실레이터 모델에서의 미소 파라미터 섭동에 의한 카오스 제어 및 하드웨어 구현 (The study of Controlling chaos for BVP oscillation model by small parameter perturbation and hardware implementation)

  • 배영철;서삼문;임화영
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1995년도 추계학술대회 논문집 학회본부
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    • pp.154-156
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    • 1995
  • The effect of a periodic and a chaotic' behaviour in the Bonhoeffer-Van der Pol(BVP) oscillation of the nerve membrane driven by a periodic stimulating current $A_1=cos\;{\omega}\;t$ are investigated by numeric analysis and hardware Implementation. To control the chaotic motion, we are suggested by temperature parameter c, $c=c(1+\eta\;cos\;{\Omega}\;t)$ which the values of $\eta,\;Omega$ varied respectively. The feasibilities of chaotic and periodic phenomena were analysed by phase plane and time series.

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