• 제목/요약/키워드: Chaos analysis

검색결과 249건 처리시간 0.027초

2:1 내부공진을 갖는 케이블의 비선형 진동의 분기해석 (Bifurcation Analysis of Nonlinear Oscillations of Suspended Cables with 2-to-1 Internal Resonance)

  • 장서일
    • 소음진동
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    • 제8권6호
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    • pp.1144-1149
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    • 1998
  • A two degree-of-freedom model of suspended cables is studied for forced resonant response. The method of averaging is used to obtain first-order approximations to the response of the system. A bifurcation analysis of the averaged system is performed in the case of 2-to-1 internal resonance. Nonlinear coupled-mode motions are found to bifurcate from single-mode responses and further bifurcate to limit cycle motions via Hopf bifurcations. The limit cycle solutions undergo period doubling bifurcations to chaos.

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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.

기울기백터를 이용한 카오스 시계열에 대한 예측 (The Prediction of Chaos Time Series Utilizing Inclined Vector)

  • 원석준
    • 정보처리학회논문지B
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    • 제9B권4호
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    • pp.421-428
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    • 2002
  • 지금까지 삽입(Embedding)백터를 이용한 국소적예측방법은 고차미분방정식으로부터 생성된 카오스 시계열을 예측할 때, 파라메타 $\tau$의 추정이 정확하지 않으면 예측성능은 떨어졌다. 지금까지 지연시간 ($\tau$)의 값을 추정하는 방법은 많이 제안되어있지만 실제로 고차원미분방정식부터 생성되어진 수많은 시계열에 모두 적용 가능한 방법은 아직 없다. 이것을 기울기 백터를 이용한 기울기 선형모델을 도입하는 것에 의해 정확한 지연시간 ($\tau$)의 값을 추정하지 않아도 예측성능에 만족할 수 있는 결과를 표시했다. 이것을 이론뿐이 아니고 경제시계열에도 적용해서 종래의 예측방법과 비교해서 그 유효성을 표시했다.

간호대학생의 가상 시뮬레이션 실습 경험 (Nursing students' experiences in virtual simulation practice)

  • 김윤정;김원정;민혜영
    • 한국간호교육학회지
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    • 제26권2호
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    • pp.198-207
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    • 2020
  • Purpose: The purpose of this study was to explore the meaning of nursing students' experiences in virtual simulation practice. Methods: The participants were six nursing students who have experience in a virtual simulation. Data were collected from August to September 2019 through a focus group interview. Giorgi's phenomenological method was used for analysis. Results: The study results revealed 3 constituents and 6 sub-constituents that are essential for nursing student's experiences in a virtual simulation. The three constituents were: "Chaos in the virtual reality", "The process of adjusting to chaos", and "Becoming an independent nurse in a safe virtual reality". Conclusion: Based on the results of this study, the following suggestions are made. Results suggest the development of virtual simulations in Korean, the use of simulations as a group activity first, and the use of simulation between lecture and practice or in the regular curriculum. The results of the study can be used as primary data for providing virtual simulation in nursing education.

리미트사이클을 발생하는 연속시간 모델 순환결합형 신경회로망에서 카오스 신호의 영향 (Analysis of Dynamical State Transition and Effects of Chaotic Signal in Continuous-Time Cyclic Neural Network)

  • 박철영
    • 한국지능시스템학회논문지
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    • 제16권4호
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    • pp.396-401
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    • 2006
  • 순환결합형 신경회로망은 복수 개의 리미트사이클을 생성하며 따라서, 많은 동적 정보를 저장할 수 있는 메모리 시스템으로 사용할 수 있다는 것이 알려져 있다. 본 논문에서는 각 뉴런이 최근접 뉴런에만 이진화한 결합하중 ${\pm}1$로 연결된 연속 시간모델 순환결합형 신경회로망을 구현하였다. 그리고 이런 회로망을 통해 생성되는 리미트사이클의 수와 패턴을 시뮬레이션을 통하여 나타내었다. 또한 카오스 신호를 인가하여 리미트사이클 사이의 천이 가능성을 입증하였다. 특히, 카오스 신호 이외의 랜덤 노이즈를 이용한 해석을 통하여 동적 신경회로망에 카오스 노이즈를 인가하는 경우의 유효성을 검토하였다.

A Possible Application of the PD Detection Technique Using Electro-Optic Pockels Cell With Nonlinear Characteristic Analysis on the PD signals

  • Kang, Won-Jong;Lim, Yun-Sok;Chang, Young-Moo;Koo, Ja-Yoon
    • KIEE International Transactions on Electrophysics and Applications
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    • 제11C권2호
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    • pp.6-11
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    • 2001
  • Abstract- In this paper, a new Partial Discharge (PD) detection using Pockels cell was proposed and considerable apparent chaotic characteristics were discussed. For this purpose, PD was generated from needle-plane electrode in air and detecte by optical measuring system using Pockels cell, based on Mach-Zehner interferometer, consisting of He-Ne laser, single mode optical fiber, 50/50 beam splitter and photo detector. In addition, the presence of chaos of the PD signals has been investigated by examining their means of qualitative and quantitative information. For the former, return map and 3-dimensional strange attractor have been drawn in order to investigate the presence of chaotic characteristics relevant to PD signals, detected through CT and Peckels sensor respectively, in the normalized time series. The presence of strange attractor indicates the existence of fractal structures in it's phase space. For the latter, several dimension values of strange attractor were verified sequentially. Throughout this paper, it is likely that the chaotic characteristics regarding the PD signals under air are verified.

동적 카오틱 뉴런의 수렴 특성에 관한 연구 (A Study on the Convergence Characteristics Analysis of Chaotic Dynamic Neuron)

  • Won-Woo Park
    • 융합신호처리학회논문지
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    • 제5권1호
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    • pp.32-39
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    • 2004
  • 생체 뉴론은 일반적으로 지속적 또는 과도적인 카오틱 특성을 가지고 있다. 생체 뉴론의 카오틱 반응에 대한 분석적인 해석은 아직까지 이루어지지 않고 있다. 동적 카오틱 반응에 대한 카오틱 뉴런의 과도 카오틱 특성은 지역 수렴 문제를 극복하는데 도움이 되지만 일반적으로 지속적인 카오틱 응답은 최적화 문제에 악영향을 미치게 되므로 초기 카오틱 특성은 사라져야 한다. 패턴 인식, 확인, 예측, 그리고 제어에 사용되는 대부분의 신경회로망 응용에 있어서 필요한 최적화 문제를 해결하기 위해서는 뉴론은 한 개의 안정적인 고정점을 가지고 있어야 한다. 본 논문에서는 동적 카오틱 뉴런의 동적 특성과 카오틱 응답을 발생시키는 조건을 분석하고, 카오틱 뉴런의 수렴조건을 제안하였다.

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구분적선형시스템을 이용한 해양 구조물의 거동분석 (Analysis of Response behaviors of offshore mooring structures by a piecewise-linear system)

  • 마호성
    • 전산구조공학
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    • 제10권4호
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    • pp.251-265
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    • 1997
  • 해양계선시스템(offshore mooring system)의 거동을 구분적선형시스템(piecewise-linear system)을 이용하여 분석하였다. 계선시스템의 복원력을 유도하고 거기에 상응하는 근사치 구분적선형시스템의 복원력을 구하여 두 시스템의 복원력을 비교하였다. 다양한 파력 하에서의 계선시스템의 응답거동을 분석하였다. 시스템의 비선형정도 및 매개변수의 영향에 대하여 집중적으로 연구하였다. 시스템의 응답거동의 특성은 포인케어맵(Poincare map)을 통하여 확인하였다. 구분적선형시스템을 이용하여 분석한 결과, 계선시스템은 일반 조화, 열조화 및 복잡한 비선형거동인 chaos를 포함한 다양한 응답거동을 갖음을 알아냈다. 여러 값의 매개변수를 적용하여 시스템의 응답거동에 미치는 영향을 알아냈으며, 매개변수지도를 통하여 응답거동의 영역을 확인하였다.

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Hopf Bifurcation Study of Inductively Coupled Power Transfer Systems Based on SS-type Compensation

  • Xia, Chenyang;Yang, Ying;Peng, Yuxiang;Hu, Aiguo Patrick
    • Journal of Power Electronics
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    • 제19권3호
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    • pp.655-664
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    • 2019
  • In order to analyze the nonlinear phenomena of the bifurcation and chaos caused by the switching of nonlinear switching devices in inductively coupled power transfer (ICPT) systems, a Jacobian matrix model, based on discrete mapping numerical modeling, is established to judge the system stability of the periodic closed orbit and to study the nonlinear behavior of Hopf bifurcation in a system under full resonance. The general flow of the parameter design, based on the stability principle for ICPT systems, is proposed to avoid the chaos and bifurcation phenomena caused by unreasonable parameter selection. Firstly, based on the state equation of SS-type compensation, a three-dimensional bifurcation diagram with the coupling coefficient as the bifurcation parameter is established with a numerical simulation to observe the nonlinear phenomena in the system. Then Filippov's method based on a Jacobian matrix model is adopted to deduce the boundary of stable operation and to judge the type of the bifurcation in the system. Then the general flow of the parameter design based on the stability principle for ICPT systems is proposed through the above analysis to realize stable operation under the conditions of weak coupling. Finally, an experimental platform is built to confirm the correctness of the numerical simulation and modeling.

Concurrent topology optimization of composite macrostructure and microstructure under uncertain dynamic loads

  • Cai, Jinhu;Yang, Zhijie;Wang, Chunjie;Ding, Jianzhong
    • Structural Engineering and Mechanics
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    • 제81권3호
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    • pp.267-280
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    • 2022
  • Multiscale structure has attracted significant interest due to its high stiffness/strength to weight ratios and multifunctional performance. However, most of the existing concurrent topology optimization works are carried out under deterministic load conditions. Hence, this paper proposes a robust concurrent topology optimization method based on the bidirectional evolutionary structural optimization (BESO) method for the design of structures composed of periodic microstructures subjected to uncertain dynamic loads. The robust objective function is defined as the weighted sum of the mean and standard deviation of the module of dynamic structural compliance with constraints are imposed to both macro- and microscale structure volume fractions. The polynomial chaos expansion (PCE) method is used to quantify and propagate load uncertainty to evaluate the objective function. The effective properties of microstructure is evaluated by the numerical homogenization method. To release the computation burden, the decoupled sensitivity analysis method is proposed for microscale design variables. The proposed method is a non-intrusive method, and it can be conveniently extended to many topology optimization problems with other distributions. Several numerical examples are used to validate the effectiveness of the proposed robust concurrent topology optimization method.