• 제목/요약/키워드: Nonlinear phenomena

검색결과 397건 처리시간 0.031초

NONLINEAR HEAT EQUATIONS WITH TRANSCENDENTAL NONLINEARITY IN BESOV SPACES

  • Pak, Hee Chul;Chang, Sang-Hoon
    • 충청수학회지
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    • 제23권4호
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    • pp.773-784
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    • 2010
  • The existence of solutions in Besov spaces for nonlinear heat equations having transcendental nonlinearity: $$\frac{\partial}{{\partial}t}u-{\Delta}u=F(u)$$ is investigated. In particular, it is proved the local existence and blow-up phenomena of the solutions in Besov spaces for nonlinear heat equations corresponding to two transcendental nonlinear functions $F(u){\equiv}{\mid}u{\mid}e^{u^2}$ and $F(u){\equiv}e^u$ of rapid growth.

Design of Enhanced Min-Max Control using Feedforward Control

  • Im, Yoon-Tae;Song, Seong-Ho
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.312-315
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    • 2003
  • This paper deals with robust control problems of linear systems with matched nonlinear uncertainties. In order to handle the uncertainties, a Lyapunov min-max control approach can usually be adopted. By the way, the min-max control input is required to be switched and provokes chattering phenomena which limit the practical implementation. The magnitude of switching control input which cause chattering is dependent on the size of uncertainties. In this paper, it is shown that the magnitude of the min-max control input can be made small using a well-known disturbance observer technique and only considers the disturbance observing errors. The chattering phenomena can be reduced as small as possible by selecting a high diturbance observer gain. The simulations show that the min-max control with a disturbance observer can reduce chattering phenomena much smaller and guarantee much better robust performance rather than the one without a disturbance observer.

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Finite element simulation for steel tubular members strengthened with FRP under compression

  • El-Kholy, Ahmed M.;Mourad, Sherif A.;Shaheen, Ayman A.;Mohamed, Yomna A.
    • Structural Engineering and Mechanics
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    • 제72권5호
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    • pp.569-583
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    • 2019
  • Tubular steel sections are widespread all over the world because of their strength and aesthetic appearance. Tubular steel members may exhibit local buckling such as elephant foot or overall buckling under extreme compression load. Recently, external bonding of fiber reinforced polymers (FRP) sheets for strengthening these members has been explored through experimental research. This paper presents three-dimensional nonlinear finite element analysis (FEA) to investigate the structural behavior of strengthening tubular steel members with FRP against local and overall buckling phenomena. Out-of-roundness and out-of-straightness imperfections were introduced to the numerical models to simulate the elephant foot and overall buckling, respectively. The nonlinear analysis preferences such as the integration scheme of the shell elements, the algorithm for solution of nonlinear equations, the loading procedure, the bisection limits for the load increments, and the convergence criteria were set, appropriately enough, to successfully track the sophisticated buckling deformations. The agreement between the results of both the presented FEA and the experimental research was evident. The FEA results demonstrated the power of the presented rigorous FEA in monitoring the plastic strain distribution and the buckling phenomena (initiation and propagation). Consequently, the buckling process was interpreted for each mode (elephant foot and overall) into three sequential stages. Furthermore, the influence of FRP layers on the nonlinear analysis preferences and the results was presented.

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

  • 황림운;배영철
    • 한국전자통신학회논문지
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    • 제10권7호
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    • pp.845-850
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    • 2015
  • 사람의 감정 중의 하나인 사랑은 사회학과 심리학에서 주된 관심사로 연구되어 왔다. 기본적인 사랑 모델에서 비선형 특성을 찾기는 어렵다. 따라서 본 논문에서는 기본적인 사랑모델에서 비선형 거동을 찾기 위하여 기본적인 사랑 방정식에 외력을 주고 이때의 시계열과 위상 공간을 통하여 비선형 거동이 있음을 확인한다. 또한 이 비선형거동이 일반 카오스 발생현상인 주기배증과정, 카오스, 주기과정의 현상과 유사하게 유사한 주기 배증 과정, 카오스, 주기과정이 있음을 확인한다.

BLOW-UP PHENOMENA FOR A QUASILINEAR PARABOLIC EQUATION WITH TIME-DEPENDENT COEFFICIENTS UNDER NONLINEAR BOUNDARY FLUX

  • Kwon, Tae In;Fang, Zhong Bo
    • 충청수학회지
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    • 제31권3호
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    • pp.287-308
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    • 2018
  • This paper deals with blow-up phenomena for an initial boundary value problem of a quasilinear parabolic equation with time-dependent coefficient in a bounded star-shaped region under nonlinear boundary flux. Using the auxiliary function method and differential inequality technique, we establish some conditions on time-dependent coefficient and nonlinear functions for which the solution u(x, t) exists globally or blows up at some finite time $t^*$. Moreover, some upper and lower bounds for $t^*$ are derived in higher dimensional spaces. Some examples are presented to illustrate applications of our results.

횡자속형 스위치드 리럭턴스 전동기의 설계 및 특성 해석 (Design and Characteristics Analysis of a Transverse Flux Type Switched Reluctance Motor)

  • 김경호;조윤현;구대현;정연호;강도현
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제51권1호
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    • pp.7-15
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    • 2002
  • The paper proposes the characteristics analysis for a Transverse flux type Switched Reluctance Motor(TSRM) considering the nonlinear magnetic phenomena. To investigate the nonlinear parameters of magnetic equivalent circuit, the designed TSRM is analyzed by the 2D and 3D finite element method as functions of input current and angular displacement. On the base of FEM analysis results, the current, torque, back EMF and output power wave of TSRM are simulated from the motion equation by MATLAB/Simulink. The simulated performance characteristics for a 4-phase, 24-pole TSRM are verified by experimental results of a prototype TSRM.

Robustness of Data Mining Tools under Varting Levels of Noise:Case Study in Predicting a Chaotic Process

  • Kim, Steven H.;Lee, Churl-Min;Oh, Heung-Sik
    • 한국경영과학회지
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    • 제23권1호
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    • pp.109-141
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    • 1998
  • Many processes in the industrial realm exhibit sstochastic and nonlinear behavior. Consequently, an intelligent system must be able to nonlinear production processes as well as probabilistic phenomena. In order for a knowledge based system to control a manufacturing processes as well as probabilistic phenomena. In order for a knowledge based system to control manufacturing process, an important capability is that of prediction : forecasting the future trajectory of a process as well as the consequences of the control action. This paper examines the robustness of data mining tools under varying levels of noise while predicting nonlinear processes, includinb chaotic behavior. The evaluated models include the perceptron neural network using backpropagation (BPN), the recurrent neural network (RNN) and case based reasoning (CBR). The concepts are crystallized through a case study in predicting a chaotic process in the presence of various patterns of noise.

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비선형 광신호의 간섭현상 연구 (Study on the Interference Phenomena of Nonlinear Optical Signals)

  • 이은성;한재원;박승남;이충희
    • 한국광학회지
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    • 제3권4호
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    • pp.239-243
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    • 1992
  • KDP 결정에서 2차 고조파가 발생될 때와 질소기체에서 CARS신호가 발생될 때 나타나는 간섭현상을 조사하였다. 비선형 신호들의 위상차이를 주기 위하여 광학유리를 이용하여 제작된 위상변이장치와 고압기체셀을 사용하였으며 각 매질에 대한 가간섭길이를 측정하였다. 특정한 스톡스광의 파장에서 CARS신호가 상쇄간섭을 일으키도록 위상변이장치의 두께를 조정한 후, 넓은 파장영역에서 상쇄간섭된 질소 CARS 스펙트럼을 얻었다. 위상변이장치의 두께를 바꾸면서 상쇄간섭정도의 변화를 관찰하였다.

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Nonlinear Characteristics of Low-speed Flow Induced Vibration for the Safety Design of Micro Air Vehicle

  • 장태진;김동현;이인
    • 한국소음진동공학회논문집
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    • 제12권11호
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    • pp.873-881
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    • 2002
  • The fluid induced vibration (FIV) phenomena of an equivalent airfoil system of MAV have been investigated in low Reynolds number flow region. Unsteady flows with viscosity are computed using two-dimensional incompressible Navier-Stokes equations. The present fluid/structure interaction analysis is based on one of the most accurate computational approach with computational fluid dynamics (CFD) and computational structural dynamics (CSD) techniques. The highly nonlinear fluid/structure interaction phenomena due to severe flow separations have been analyzed for the low Reynolds region that has a dominancy of flow viscosity. The effects of Reynolds number and initial angle of attack on the fluid/structure coupled vibration instability are shown and the qualitative trend of FIV phenomenon is investigated.