• 제목/요약/키워드: nonlinear oscillation

검색결과 208건 처리시간 0.024초

Energy approach for dynamic buckling of shallow fixed arches under step loading with infinite duration

  • Pi, Yong-Lin;Bradford, Mark Andrew;Qu, Weilian
    • Structural Engineering and Mechanics
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    • 제35권5호
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    • pp.555-570
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    • 2010
  • Shallow fixed arches have a nonlinear primary equilibrium path with limit points and an unstable postbuckling equilibrium path, and they may also have bifurcation points at which equilibrium bifurcates from the nonlinear primary path to an unstable secondary equilibrium path. When a shallow fixed arch is subjected to a central step load, the load imparts kinetic energy to the arch and causes the arch to oscillate. When the load is sufficiently large, the oscillation of the arch may reach its unstable equilibrium path and the arch experiences an escaping-motion type of dynamic buckling. Nonlinear dynamic buckling of a two degree-of-freedom arch model is used to establish energy criteria for dynamic buckling of the conservative systems that have unstable primary and/or secondary equilibrium paths and then the energy criteria are applied to the dynamic buckling analysis of shallow fixed arches. The energy approach allows the dynamic buckling load to be determined without needing to solve the equations of motion.

동요(動搖)하는 2차원몰수체(次元沒水體)에 작용(作用)하는 선형(線形) 및 비선형(非線形) 동유체력(動流體力)에 미치는 전진속도(前進速度)의 영향(影響) (Effects of Forward Speed on the Linear and Nonlinear Hydrodynamic Forces Acting on Advancing Submerged Cylinders in Oscillation)

  • 황종흘;김용직;이승수
    • 대한조선학회지
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    • 제24권2호
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    • pp.47-54
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    • 1987
  • Linear and nonlinear hydrodynamic force, which acts on submerged circular and eilliptic cylinders in oscillations as well as in advancing motion, are investigated as an initial-boundary value problem using a numerical method, which makes use of the source distribution on the body surface and the spectral method for treating the free surface waves. In the numerical code developed here, the boundary condition at the body surface is linearized. Using the numerical code so attained, nonlinear effects for different forward speeds and of the large-amplitude motion are computed. One of the major findings is that, when the forward speed is large, the added mass has its minimum and the damping force change rapidly around the frequency corresponding to the speed-frequency parameter, $\tau$=0.25, Compared to the result of Grue's [10], who used linear theory to get abrupt changes in values of the added mass and the damping force at the frequency corresponding to $\tau$=0.25, the present study, which takes nonlinear effects into account, shows much smoother variations near the frequency.

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OSCILLATORY BEHAVIOR OF THE SECOND-ORDER NONLINEAR NEUTRAL DIFFERENCE EQUATIONS

  • Zhang, Zhenguo;Dong, Wenlei;Ping, Bi
    • Journal of applied mathematics & informatics
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    • 제8권1호
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    • pp.111-128
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    • 2001
  • In this paper, we consider the oscillation of the second-order neutral difference equation Δ²(x/sub n/ - px/sub n-r/) + q/sub n/f(x/sub n/ - σ/sub n/) = 0 as well as the oscillatory behavior of the corresponding ordinary difference equation Δ²z/sub n/ + q/sub n/f(R(n,λ)z/sub n/) = 0

Design of PWM-Based Fuzzy Controller for Nonlinear Systems

  • Cha, Dai-Bum;Cho, Kwang-Lae;Lee, Yeun-Woo;Joo, Young-Hoon;Park, Jin-Bae
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2002년도 ICCAS
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    • pp.35.6-35
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    • 2002
  • $\textbullet$ The duffing forced oscillation system. $\textbullet$ The picture is result of the computer simulation. $\textbullet$ Control input of the PWM controller. $\textbullet$ The solid line type is resulted by digital controller. $\textbullet$ The dotted line type is resulted by analogue controller.

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주기적으로 분극반전된 $LiNbO_3$ 결정에서 광매개증폭 (Optical Parametric Oscillation in Periodically Poled Lithium Niobate Crystal)

  • Kim Hong-Gi;Cha Myeong-Sik;Lee Beom-Gu
    • 한국광학회:학술대회논문집
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    • 한국광학회 2001년도 제12회 정기총회 및 01년도 동계학술발표회
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    • pp.222-223
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    • 2001
  • Optical parametric oscillator(OPO) has been used to generate coherent and tunable laser source with birefringent phase-matching technique in various nonlinear materials. In birefringent phase-matching, the output wavelength is controlled with angle or temperature tuning of the refractive index. However these tuning methods have several limitations such as restriction of tuning wavelength due to reasonable angular and temperature tuning ranges, Poynting vector walk-off which limits the interaction length, and thermal stabilization time. (omitted)

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주상체의 비선형 운동(I) -강제동요문제, 조파저항문제- (The Nonlinear Motions of Cylinders(I))

  • 이호영;황종흘
    • 대한조선학회논문집
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    • 제29권4호
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    • pp.114-131
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    • 1992
  • 본 논문은 2차원 자유표면파문제에서 시간영역해법을 이용하여 2차원 운동문제에 적용할 수 있는 수치해석을 하였다. 경계조건으로는 엄밀한 물체표면 경계조건과 비선형 자유표면경계 조건을 부과했다. 수치해를 구하는데는 코시이론을 이용하여 제2종 프레드흘름 경계적분방정식을 도출하고 이를 이산화시켜 처리하였다. 수치계산을 위해 전영역을 유한한 영역으로 제한하여야 한다. 제한된 영역에서 방사해의 부과를 위해 전영역을 수치해석영역과 외부영역으로 나누고, 외부영역의 해는 그린 제2정리를 이용하고, 선형자유표면조건을 만족하는 과도그린함수를 사용한다. 위의 그린 제2정리를 이용한 식으로 부터 초기조건, 선형 자유표면조건, 무한원방조건을 이용하여 단순화시킨 다음 포텐셜과 유동함수의 관계식으로 치환하면 비선형해와 정합할 수 있는 정합행렬을 구할 수 있다. 본 논문에서 개발한 정합방법을 이용하여 적용할 문제로서 첫째는 주상체가 상하동요, 수평동요하는 경우 계산이고 두번째로는 수면하에서 타원형실린더가 일정속도로 항진할 때 계산을 수행한 결과를 고차스펙트럴방법과 비교하였다.

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Nonlinear motion analysis of a two-link arm using first integrals

  • Yu, Kee-Ho;Takahashi, Takayuki;Inooka, Hikaru
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국제학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.507-512
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    • 1993
  • In this paper we discuss the nonlinear motion of a conservative two-link arm using first integrals, which includes one integral constant. In the analysis of the motion, the constant plays important role. First, we give some discussion on the free motion by focusing on the integral constant. As the result, the free motion can be classified into two types-the one is oscillation and the other is rotation. Second, we discuss the forced motion of the arm actuated only at the second joint. We take the first integral in a more general form, and show that the forced motion of the second link can be expressed as a variation of the integral constant. Also, the characteristic of the forced motion actuated by arbitrary constant torques is discussed.

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Effect of Chaos and Instability of Brillouin-Active Fiber Based on Optical Communication Networks

  • 김용갑
    • 한국정보전자통신기술학회논문지
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    • 제6권4호
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    • pp.272-277
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    • 2013
  • In this paper the effect of instability and chaos in optical fiber networks based on the Internet is described. Nonlinear optical fiber effect especially Brillouin scattering in networks has emerged as the essential means for the construction of active optical devices used for all-optic in-line switching, channel selection, amplification, oscillation in optical communications and a host of other applications. The inherent optical feedback by the back-scattered Stokes wave in optical networks also leads to instabilities in the form of optical chaos. This paradigm of optical chaos in fiber Internet serves as a test for fundamental study of chaos and its suppression and exploitation in practical application in optical fiber communication. This paper attempts to present a survey and some of our research findings on the nature of Brillouin chaotic effect on Internet based optical communication.

Effect of Chaos and Instability of Brillouin-Active Fiber Based on Optical Communication

  • 염경태;김관규;김지형;김용갑
    • 한국정보전자통신기술학회논문지
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    • 제1권1호
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    • pp.61-66
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    • 2008
  • In this paper the effect of instability and chaos in optical fiber networks based on the Internet is described. Nonlinear optical fiber effect especially Brillouin scattering in networks has emerged as the essential means for the construction of active optical devices used for all-optic in-line switching, channel selection, amplification, oscillation in optical communications and a host of other applications. The inherent optical feedback by the back-scattered Stokes wave in optical networks also leads to instabilities in the form of optical chaos. This paradigm of optical chaos in fiber Internet serves as a test for fundamental study of chaos and its suppression and exploitation in practical application in optical fiber communication. This paper attempts to present a survey and some of our research findings on the nature of Brillouin chaotic effect on Internet based optical communication.

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퍼지 로직 알고리듬을 이용한 차량 구동력 제어 (Vehicle traction control using fuzzy logic algorithm)

  • 박성훈;권동수
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.680-683
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    • 1996
  • The dynamics of the vehicle system has highly nonlinear components such as an engine, a torque converter and variable road condition. This thesis proposes a Fuzzy Logic Algorithm that shows better control performance than Antiwindup PI in the highly nonlinear vehicle system. Traction Control System(TCS), which adjusts throttle valve opening by Fuzzy Logic Algorithm improves vehicle drivability, steerability and stability when vehicle is starting and cornering. When a throttle valve is opened at large degree, Fuzzy Logic Algorithm shows better performances like a small settling time and a small oscillation than Antiwindup PI in simulation. The decreased desired slip ratio improves steerability in the simulation when a vehicle is cornering. The Fuzzy Logic Algorithm has been tested by a 1/5-scale vehicle for tracking the constant desired velocity.

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