• 제목/요약/키워드: Nonlinear Oscillation

검색결과 208건 처리시간 0.025초

석유 시추보호관의 운동특성에 관한 실험적 고찰 (An Experimental Study on the Dynamic Behavior of a Marine Riser)

  • 김용철;이판묵;홍사영
    • 한국해양공학회지
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    • 제2권1호
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    • pp.46-58
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    • 1988
  • The experimental investigations on the motion characteristics of a marine riser both in air and water were performed. The static deflections and natural frequencies of the riser in air including the effect of static offset, were obtained from the experiment. These results were compared with those of theoretical prediction by using a simple asymptotic formula. In order to investigate the nonlinear motion characteristics of the riser subject to nonlinear viscous drag and large displacement, the forced oscillation tests both in air and water were performed. In the forced oscillation tests in air, it was found that the transverse motion due to geometrical nonlinearity grows when the amplitude of in-line oscillation exceeds a certain critical value, say, order of 1-2 diameters. The planar motions of the riser in water due to vortex shedding and the geometrical nonlinearity were described. Some of these results were also compared with those of theoretical analysis, which uses a numerical perturbation technique based on the derived linear asymptotic solutions, and found to be generally in good agreement.

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OSCILLATION OF HIGHER ORDER STRONGLY SUPERLINEAR AND STRONGLY SUBLINEAR DIFFERENCE EQUATIONS

  • Grace, Said R.;Han, Zhenlai;Li, Xinhui
    • Journal of applied mathematics & informatics
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    • 제32권3_4호
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    • pp.455-464
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    • 2014
  • We establish some new criteria for the oscillation of mth order nonlinear difference equations. We study the case of strongly superlinear and the case of strongly sublinear equations subject to various conditions. We also present a sufficient condition for every solution to be asymptotic at ${\infty}$ to a factorial expression $(t)^{(m-1)}$.

Oscillation of Second-Order Nonlinear Forced Functional Dynamic Equations with Damping Term on Time Scales

  • Agwa, Hassan Ahmed;Khodier, Ahmed Mahmoud;Ahmed, Heba Mostaafa Atteya
    • Kyungpook Mathematical Journal
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    • 제56권3호
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    • pp.777-789
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    • 2016
  • In this paper, we establish some new oscillation criteria for the second-order forced nonlinear functional dynamic equations with damping term $$(r(t)x^{\Delta}(t))^{\Delta}+q({\sigma}(t))x^{\Delta}(t)+p(t)f(x({\tau}(t)))=e(t)$$, and $$(r(t)x^{\Delta}(t))^{\Delta}+q(t)x^{\Delta}(t)+p(t)f(x({\sigma}(t)))=e(t)$$, on a time scale ${\mathbb{T}}$, where r(t), p(t) and q(t) are real-valued right-dense continuous (rd-continuous) functions [1] defined on ${\mathbb{T}}$ with p(t) < 0 and ${\tau}:{\mathbb{T}}{\rightarrow}{\mathbb{T}}$ is a strictly increasing differentiable function and ${\lim}_{t{\rightarrow}{\infty}}{\tau}(t)={\infty}$. No restriction is imposed on the forcing term e(t) to satisfy Kartsatos condition. Our results generalize and extend some pervious results [5, 8, 10, 11, 12] and can be applied to some oscillation problems that not discussed before. Finally, we give some examples to illustrate our main results.

대진폭 조화 운동을 하는 잠수구에 의한 비선형 조파현상의 시간영역 해석 (Time-Domain Analysis of Nonlinear Wave-Making Phenomena by a Submerged Sphere Oscillating with Large Amplitude)

  • 김용직;하영록
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2006년 창립20주년기념 정기학술대회 및 국제워크샵
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    • pp.382-385
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    • 2006
  • A high-order spectral/boundary-element method is newly adapted as an efficient numerical tool. In this method, the velocity potential is expressed as the sum of surface potential and body potential. Then, surface potential is solved fly using the high-order spectral method and body potential is solved fly using the high-order boundary element method. Through the combination of these two methods, the wave-making problems fly a submerged sphere moving with the large amplitude oscillation are solved in time-domain. With the example calculations, nonlinear effects on free-surface profiles and hydrodynamic forces are shown and discussed.

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비대칭 출력부하에 대한 포화함수를 이용한 자동동조 알고리듬 (Autotuning algorithm for asymmetric output using saturation function)

  • 오승록;오동철
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 심포지엄 논문집 정보 및 제어부문
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    • pp.141-143
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    • 2005
  • An unknown linear time invariant plant with asymmetric oscillation in the output such as a static load disturbance. A saturation function nonlinear element is used to find the one point information in the frequency domain. An asymmetric self-oscillation caused by such as a static load disturbance saturation function feedback is analyzed. a new method to tune a PID controller based on the analysis is proposed in the presence of asymmetric oscillation. The proposed method does not require the knowledge of plant d.c. gain with an asymmetric oscillation in the plant output.

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NONLINEAR BEHAVIOR OF A GALLOPING CABLE

  • Oh, Hye-Young
    • Journal of applied mathematics & informatics
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    • 제3권2호
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    • pp.169-182
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    • 1996
  • This paper presents the numerical experiment of a dis-cretized loaded cable with periodic forcing. There appeared to be var-ious type of nonlinear oscillations over a wide range of fequencies and amplitudes for the periodic forcing term. The same forcing term can give rise to large or small oscillation by solving initial value problem and observing the solutions after a long time.

매든-줄리안 진동의 위상에 따른 동아시아 지역의 강수와 순환의 변동성 (East Asian Precipitation and Circulation Response to the Madden-Julian Oscillation)

  • 한상대;서경환
    • 한국지구과학회지
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    • 제30권3호
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    • pp.282-293
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    • 2009
  • 본 연구는 겨울철과 여름철에 8개의 다른 MJO 전파 위상에 따라 동아시아 지역에서 강수와 기온, 순환 아노말리에 대하여 매든-줄리안 진동(MJO)/계절내 진동(ISO)의 영향에 대하여 고찰하였다. MJO의 중심이 동인도양에 위치한 3번 위상과 MJO의 중심이 서반구에 위치한 8번 위상에서 한반도의 겨울철 강수 패턴이 비선형적으로 나타난다. 이 두 위상에서 MJO의 강도가 2보다 작은 경우 양의 아노말리가 나타나는 반면에 2보다 큰 경우 음의 강수 아노말리가 나타났다. MJO 강도가 클 때 나타나는 이러한 음의 강수 아노말리는 한반도가 고기압성 아노말리 영역에 놓이고 북풍계열의 바람에 의한 한랭 건조한 바람의 이류에 의해 형성된다. 또한 본 연구에서는 여름철 ISO의 동진 및 북진 전파 위상에 따른 강수와 순환의 반응을 연구하였다.

Compensation for temperature-level control of tanked water system with time delay

  • Nakamura, Masatoshi;Watanabe, Kiyoto
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국제학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.42-47
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    • 1993
  • Importance of separation of a nonlinear dynamical system into nonlinear static part and linear dynamical part was insisted in designing a controller for the nonlinear system. We further proposed compensation techniques for oscillation of controlled variables caused by system time delay and compensation of steady state errors caused by modelling errors of the systems. The proposed principle of designing procedure and the compensation methods were discussed by applying them for temperature and level control of an actual tanked water system.

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