• 제목/요약/키워드: Nonlinear differential equation

검색결과 447건 처리시간 0.024초

Flexible 효과를 고려한 다물체 시스템의 동역학적 해석에 관한 연구

  • 최승렬;한창수
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1992년도 추계학술대회 논문집
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    • pp.349-353
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    • 1992
  • The purpose of this paper is to develop methods for the dynamic analysis of multibody system that consist of interconnected rigid and deformable component. The equations of motion are derived by using the Lagrange's equation and finite element theory for the elastic mechanism systems. The type of equation of motion is the differential algebraic equation included kinematic nonlinear algebraic equation. The generalized coordinate partitioning method is used for solving this equation. To show the validity of this analysis solver, couple of models were canalized and those results were compared with the commercial package(ADAMS).

APPROXIMATE CONTROLLABILITY FOR NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS

  • Jeong, Jin-Mun;Rho, Hyun-Hee
    • Journal of applied mathematics & informatics
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    • 제30권1_2호
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    • pp.173-181
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    • 2012
  • In this paper, we study the control problems governed by the semilinear parabolic type equation in Hilbert spaces. Under the Lipschitz continuity condition of the nonlinear term, we can obtain the sufficient conditions for the approximate controllability of nonlinear functional equations with nonlinear monotone hemicontinuous and coercive operator. The existence, uniqueness and a variation of solutions of the system are also given.

반도체 레이저의 변조특성에서 비선형 이득에 관한 연구 (Analysis of nonlinear gain in modulation characteristics of semiconductor lasers)

  • 엄진섭;김창봉
    • 전자공학회논문지D
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    • 제35D권2호
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    • pp.93-100
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    • 1998
  • In this paper we analyze the effect of nonlinear gain on laser modulation characteristics applying a small-signal analysis to the rate equation which includes a nonlinear gain term. Also we analyze the resonance frequency and the damping factor which determine laser modulation characteristics, define K factor which is the proportionality factor between resonance frequency and damping factor, and conclude that the decrease in K factor is due to increases in differential gain and no correlation between K factor and nonlinear gain is identified.

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비선형 경계조건을 가진 봉의 공진응답을 위한 다중시간해의 타당성 (Validity of the Multiple Scale Solution for a Resonance Response of a Bar with a Nonlinear Boundary Condition)

  • 이원경;여명환;배상수
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1996년도 추계학술대회논문집; 한국과학기술회관, 8 Nov. 1996
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    • pp.275-281
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    • 1996
  • In order to examine the validity of an asymptotic solution obtained from the method of multiple scales, we investigate a third-order subharmonic resonance response of a bar constrained by a nonlinear spring to a harmonic excitation. The motion of the bar is governed by a linear partial differential equation with a nonlinear boundary condition. The nonlinear boundary value problem is solved by using the finite difference method. The numerical solution is compared with the asymptotic solution.

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Boundary Control of Axially Moving Continua: Application to a Zinc Galvanizing Line

  • Kim Chang-Won;Park Hahn;Hong Keum-Shik
    • International Journal of Control, Automation, and Systems
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    • 제3권4호
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    • pp.601-611
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    • 2005
  • In this paper, an active vibration control of a tensioned, elastic, axially moving string is investigated. The dynamics of the translating string are described with a non-linear partial differential equation coupled with an ordinary differential equation. A right boundary control to suppress the transverse vibrations of the translating continuum is proposed. The control law is derived via the Lyapunov second method. The exponential stability of the closed-loop system is verified. The effectiveness of the proposed control law is simulated.

Hinged-clamped 보의 확률적 응답특성 (Stochastic Response of a Hinged-Clamped Beam)

  • 조덕상
    • 한국산업융합학회 논문집
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    • 제3권1호
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    • pp.43-51
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    • 2000
  • The response statistics of a hinged-clamped beam under broad-band random excitation is investigated. The random excitation is applied at the nodal point of the second mode. By using Galerkin's method the governing equation is reduced to a system of nonautonomous nonlinear ordinary differential equations. A method based upon the Markov vector approach is used to generate a general first-order differential equation in the dynamic moment of response coordinates. By means of the Gaussian and non-Gaussian closure methods the dynamic moment equations for the random responses of the system are reduced to a system of autonomous ordinary differential equations. The case of two mode interaction is considered in order to compare it with the case of three mode interaction. The analytical results for two and three mode interactions are also compared with results obtained by Monte Carlo simulation.

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Boundary Control of a Tensioned Elastic Axially Moving String

  • Kim, Chang-Won;Hong, Keum-Shik;Park, Hahn
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.2260-2265
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    • 2005
  • In this paper, an active vibration control of a tensioned elastic axially moving string is investigated. The dynamics of the translating string are described by a non-linear partial differential equation coupled with an ordinary differential equation. A time varying control in the form of right boundary transverse motions is proposed in stabilizing the transverse vibrations of the translating continuum. A control law based on Lyapunov's second method is derived. Exponential stability of the closed-loop system is verified. The effectiveness of the proposed controller is shown through simulations.

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Approximate Controllability for Semilinear Neutral Differential Systems in Hilbert Spaces

  • Jeong, Jin-Mun;Park, Ah-Ran;Son, Sang-Jin
    • Kyungpook Mathematical Journal
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    • 제61권3호
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    • pp.559-581
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    • 2021
  • In this paper, we establish the existence of solutions and the approximate controllability for the semilinear neutral differential control system under natural assumptions such as the local Lipschitz continuity of nonlinear term. First, we deal with the regularity of solutions of the neutral control system using fractional powers of operators. We also consider the approximate controllability for the semilinear neutral control equation, with a control part in place of a forcing term, using conditions for the range of the controller without the inequality condition as in previous results.

비선형 미분방정식의 TSK 퍼지 모델 유도에 관하여 (On the Derivation of TSK Fuzzy Model for Nonlinear Differentical Equations)

  • 이상민;조중선
    • 한국지능시스템학회논문지
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    • 제11권8호
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    • pp.720-725
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    • 2001
  • 비선형 미분방정식으로부터 TSK(Takagi-Sugeno-Kang) 퍼지모델을 유도한느 것은 퍼지 제어의 이론분야에서는 매우 중요한 문제이다. 본 논문에서는 off-equilibrium에서 상수항을 가지는 부분 미분 방정식을 배제시키는 방법을 제안한다. 이는 전건부의 언어적 표현이 삼각형 소속함수들을 가지는 기본적인 TSK 퍼지모델에서 체계적으로 유도되어진다. 그리고, 유도된 TSK 퍼지모델의 전건부 소속함수들은 GA(Genetic Algorithm)를 이용하여 최적화함으로써 실제 미분방적식에 근사화한다. 아울러 이상의 제안된 방법의 우수성을 모의실험을 통하여 검증한다.

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

  • 이정구;김순환;배영철
    • 한국전자통신학회논문지
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    • 제11권2호
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    • pp.191-196
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    • 2016
  • Van der Pol 발진기는 비선형 제동 현상을 가진 비보존 발진기로서 높은 진폭에서의 에너지는 소산적이며 낮은 진폭들에서는 생성되는 구조를 가진다. 본 논문에서는 분수 차수를 가지는 Van der Pol 발진기 모델에서 주기적 외력을 인가하였을 경우 분수차수로 표현되는 미분 방정식에서 분수차수의 파라미터 변화에 따른 리미트 사이클이 변화 상태를 확인하고자 한다.