• Title/Summary/Keyword: Periodic External Force

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Nonlinear Behavior in Love Model with Discontinuous External Force

  • Bae, Youngchul
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.16 no.1
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    • pp.64-71
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    • 2016
  • This paper proposes nonlinear behavior in a love model for Romeo and Juliet with an external force of discontinuous time. We investigated the periodic motion and chaotic behavior in the love model by using time series and phase portraits with respect to some variable and fixed parameters. The computer simulation results confirmed that the proposed love model with an external force of discontinuous time shows periodic motion and chaotic behavior with respect to parameter variation.

Analysis of Nonlinear Behavior in Fractional Van der Pol Equation with Periodic External Force (주기적인 외력을 가진 Van der Pol 발진기에서의 비선형 거동 해석)

  • Bae, Young-Chul
    • The Journal of the Korea institute of electronic communication sciences
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    • v.11 no.1
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    • pp.87-92
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    • 2016
  • Van der Pol's oscillators is non-conservative oscillator that having nonlinear damping phenomena. The energy of its system is dissipative at a high amplitude whereas its system creates the energy at low amplitude. In order to identify another behaviors in the Van der Pol oscillator, the periodic external force applied in the Van der Pol oscillator. This paper confirms the pattern of variation for the limit cycle according to parameter variation in order to identify another behaviors in the Van der Pol oscillator.

Analysis of Nonlinear Behavior in Fractional Van der Pol Equation with Periodic External Force and Fractional Differential Equation (분수 차수 미분 방정식과 주기적인 외력을 가진 Van der Pol 발진기에서의 비선형 거동 해석)

  • Lee, Jeong-Gu;Kim, Soon-Whan;Bae, Young-Chul
    • The Journal of the Korea institute of electronic communication sciences
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    • v.11 no.2
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    • pp.191-196
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    • 2016
  • Van der Pol's oscillators is non-conservative oscillator that having nonlinear damping phenomena. The energy of its system is dissipative at a high amplitude whereas its system creates the energy at low amplitude. This paper deals with the Van der Pol oscillator model with a fractional order when the external force apply into Van der Pol oscillator. This paper confirms the status of variation for the limit cycle according to the parameter variation of fractional order in the Van der Pol oscillator that can be represented by fractional differential equation.

Analysis of Nonlinear Behavior in Love Model with External Force (외력을 가진 사랑 모델에서 비선형 거동 해석)

  • Huang, Lyni-Un;Bae, Young-Chul
    • The Journal of the Korea institute of electronic communication sciences
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    • v.10 no.7
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    • pp.845-850
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    • 2015
  • Love which is one of the emotional of mankind, has been studied in sociology and psychology as a matter of great concern. Through such a research, the researchers have provided the basic mathematical model for love model, we cannot find nonlinear characteristics through the basic love model. Therefore, in this paper, in order to find nonlinear behaviors in the basic love model, we apply external force to the basic love model. Then we confirm the existence of nonlinear behaviors through time series and phase portrait. We also confirm that this nonlinear behaviors have the periodic doubling, chaotic phenomena and periodic process which are very similar to typical chaotic occurrence phenomena.

A study on effects of the fiber orientation and point angle on drilling characteristics of carbon fiber epoxy composite materials (탄소섬유 에폭시 복합재료의 드릴링 특성에 있어 섬유 배열방향과 선단각의 영향에 관한 연구)

  • Kim, Hyeong C.;Lee, Woo Y.;Namgung, Suk.
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.4
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    • pp.119-125
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    • 1997
  • The drilling experiment of carbon fiber epoxy composite material with WC-drill has been done under the various cutting conditions in order to minimize the problems occurred in the material while being drilled. It has been confirmed by a frequency analysis of the cutting force signals that the variation of cutting force resulted from the periodic variation of the angle between the ortating drill and the stacking angle of the carbon fiber. By the drilling experiment with several drills having different point angles, the drilling char- acteristics, which show the relations between the change in the point angle and cutting force or external surface condition, were analyzed.

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Vibration Localization of a Periodic Structure Undertaking External Force (외력을 받는 주기적 구조물의 진동 국부화)

  • Kim, Jae-Young;Yoo, Hong-Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.543-548
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    • 2000
  • Vibration localization of a periodic structure with mistuning is presented in this paper. Mistuning in periodic structures can lead to an increase of the forced response which is much larger than those of perfectly tuned assembly. Thus, mistuning has a critical impact on high cycle fatigue in structures, and it is of great importance to predict the mistuned forced response in efficient manner. In this paper, forced response of a coupled pendulum is investigated to identify localization effects of periodic structures. The effects of mistuning and damping on the maximum forced response are examined. It is seen that in certain condition of mistuning and coupling, strong localization occurs and this can be significant under weak damping.

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Orifice shape effect of the TLCD system under a low frequency (저주파수 하의 TLCD 시스템의 오리피스 형상 효과)

  • Lim, HeeChang
    • Journal of the Korean Society of Visualization
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    • v.12 no.1
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    • pp.30-34
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    • 2014
  • Bluff bodies under the external periodic force vibrate at their own natural or forced frequency. Rectangular bodies or similar structures such as high-rise towers and apartments, and recently a well-cited application - offshore floating bodies, usually needs to reduce these vibrations for stability and the mode control. Therefore, this study is aiming to reduce or control the vibration of a structure by a passive control method, i.e., TLCD (Tuned Liquid Column Damper). Controlling a moving body with a TLCD based on a variety of the orifice shape has been preliminary studied. In order to get a proper control, an optimized study is made on the design of the orifice shape, which has internal plates with the holes. The results show the force acting on the body due to the periodic movement highly depends on the number of holes on the plate and the height of the water level. Therefore, the optimum shape of the orifice and the height of the water level should be confirmed by a series of experiments.

Modal Analysis on SPL of the Periodic Structure depend on Unsymmetrical Beam Space (비대칭형 보강재 간격에 따른 주기구조물의 SPL모드 해석)

  • 김택현;김종태
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.11 no.1
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    • pp.52-60
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    • 2002
  • The purpose of this research is to study the vibration and acoustic pressure radiation from a thin isotropic flat plate stiffened by a rectangular array of beams, and excited by a time harmonic point force. These constructions on aircraft and ship structures are often subjected to fiequency dependent pressure fluctuations and forces. Forces from the these excitations induce structural vibrations in a wide range of fiequencies, which may cause such things as acoustic fatigue and internal cabin noise in the aircraft. It is thus important that the response characteristics and vibration modes of such periodic structures be horn. From this theoretical model, the sound pressure levels(SPL) in a semi-infinite fluid(water) bounded by the plate with the variation in the locations of an external time harmonic point farce on the plate can be calculated efficiently using three numerical tools such as the Gauss-jordan method the LU decomposition method md the IMSL numerical package.

A study on the Flux Feedback Approach for the Rejection of Dynamic Disturbance Forces in a Magnetically Suspended System (자기력 부상 시스템에서 외란 제거를 위한 자속 궤환 방식에 관한 연구)

  • Lee, Jun-Ho;Shin, Kyeong-Ho;Lee, Kang-Mi;Kim, Bak-Hyun;Kim, Jong-Ki;Kim, Yong-Kyu
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.05a
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    • pp.1212-1217
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    • 2006
  • This study is concerned with static and sinusoidal disturbance rejection for a single periodic input disturbance with known period. In the area of active elimination of a disturbance force, the control input should have two different kinds of gains: one is to deliver a stable control and the other is a force component to cancel the external disturbance force. In this paper we employ a simple state feedback control law to make the balance beam stable and employ a linear observer to estimate the states which represent the external disturbance force components. Simulation results verify our proposed control method to reject a static and sinusoidal disturbance force.

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Optimal Excitation Trajectories for the Dynamic Parameter Identification of Industrial Robots by Using Combined Model (통합모델과 최적 경로설계를 통한 산업용 로봇 동적 매개변수 규명)

  • Park, K.J.
    • Journal of Power System Engineering
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    • v.12 no.2
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    • pp.55-61
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    • 2008
  • This paper discusses the advantages of using Fourier-based periodic excitation and of combining internal and external models in dynamic robot parameter identification. Internal models relate the joint torques or forces with the motion of the robot; external models relate the reaction forces and torques on the bedplate with the motion data. This combined model allows to combine joint torque/force and reaction torque/force measurements in one parameter estimation scheme. This combined model estimation will yield more accurate parameter estimates, and consequently better predictions of actuator torque, which is shown by means of a simulated experiment on a CRS A465 industrial robot.

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