• Title/Summary/Keyword: nonlinear experiments

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Flow-Induced Birefringence of Polymers in the Region of Abrupt Thickness Transition (두께가 급격히 변하는 영역에서 고분자 유동에 의한 복굴절)

  • Lee, H.S.;Isayev, A.I.
    • Transactions of Materials Processing
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    • v.18 no.1
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    • pp.20-25
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    • 2009
  • A finite element analysis was carried out for a 4:1 planar contraction die for polymer melts using the viscoelastic constitutive equation of Leonov. Viscoelastic fluids showed significant differences in pressure drop and birefringence in contraction and expansion flows. The pressure drop was higher and the birefringence smaller in expansion than in contraction flow. The difference increased with increasing flow rate. The nonlinear Leonov model was shown to describe the viscoelastic effects observed in experiments.

A Study on operating characteristics of AC Servo Motor for EV driving (EV구동용 AC Servo Motor의 운전 제특성에 관한 연구)

  • 최장균;조경재;임중열;차인수
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 1998.11a
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    • pp.92-98
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    • 1998
  • In this paper various drive characteristics of a AC Servo Motor for EV(electric vehicle) and hybrid system proposed a countermeasure against air polution are presented. Since the transfer function of the plant is nonlinear and very complicated, there are difficultly in driving the system with real time. The performance of these experiments is confirmed by computer simulation results. The high performance and high accuracy of the driving system, Field oriented vector control system is proposed.

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Realtime Hardware Neural Networks using Interpolation Techniques of Information Data (정보데이터의 복원기법 응용한 실시간 하드웨어 신경망)

  • Kim, Jong-Man;Kim, Won-Sop
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2007.11a
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    • pp.506-507
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    • 2007
  • Lateral Information Propagation Neural Networks (LIPN) is proposed for on-line interpolation. The proposed neural network technique is the real time computation method through the inter-node diffusion. In the network, a node corresponds to a state in the quantized input space. Through several simulation experiments, real time reconstruction of the nonlinear image information is processed.

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SIMULATIONS IN OPTION PRICING MODELS APPLIED TO KOSPI200

  • Lee, Jon-U;Kim, Se-Ki
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.7 no.2
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    • pp.13-22
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    • 2003
  • Simulations on the nonlinear partial differential equation derived from Black-Scholes equation with transaction costs are performed. These numerical experiments using finite element methods are applied to KOSPI200 in 2002 and the option prices obtained with transaction costs are closer to the real prices in market than the prices used in Korea Stock Exchange.

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A KANTOROVICH-TYPE CONVERGENCE ANALYSIS FOR THE QUASI-GAUSS-NEWTON METHOD

  • Kim, S.
    • Journal of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.865-878
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    • 1996
  • We consider numerical methods for finding a solution to a nonlinear system of algebraic equations $$ (1) f(x) = 0, $$ where the function $f : R^n \to R^n$ is ain $x \in R^n$. In [10], a quasi-Gauss-Newton method is proposed and shown the computational efficiency over SQRT algorithm by numerical experiments. The convergence rate of the method has not been proved theoretically. In this paper, we show theoretically that the iterate $x_k$ obtained from the quasi-Gauss-Newton method for the problem (1) actually converges to a root by Kantorovich-type convergence analysis. We also show the rate of convergence of the method is superlinear.

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THE SUBGRADIENT EXTRAGRADIENT METHOD FOR SOLVING MONOTONE BILEVEL EQUILIBRIUM PROBLEMS USING BREGMAN DISTANCE

  • Roushanak Lotfikar;Gholamreza Zamani Eskandani;Jong Kyu Kim
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.2
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    • pp.337-363
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    • 2023
  • In this paper, we propose a new subgradient extragradient algorithm for finding a solution of monotone bilevel equilibrium problem in reflexive Banach spaces. The strong convergence of the algorithm is established under monotone assumptions of the cost bifunctions with Bregman Lipschitz-type continuous condition. Finally, a numerical experiments is reported to illustrate the efficiency of the proposed algorithm.

Numerical Analysis of Two-Dimensional Nonlinear Radiation Problem Using Higher-Order Boundary Element Method (고차경계요소법을 이용한 2차원 비선형 방사문제의 수치해석)

  • Hong-G. Sung;Hang-S. Choi
    • Journal of the Society of Naval Architects of Korea
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    • v.37 no.1
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    • pp.67-81
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    • 2000
  • An accurate and efficient numerical method for two-dimensional nonlinear radiation problem has been developed. The wave motion due to a moving body is described by the assumption of ideal fluid flow, and the governing Laplace equation can be effectively solved by the higher-order boundary element method with the help of the GMRES (Generalized Minimal RESidual) algorithm. The intersection or corner problem is resolved by utilizing the so-called discontinuous elements. The implicit trapezoidal rule is used in updating solutions at new time steps by considering stability and accuracy. Traveling waves caused by the oscillating body are absorbed downstream by the damping zone technique. It is demonstrated that the present method for time marching and radiation condition works efficiently for nonlinear radiation problem. To avoid the numerical instability enhanced by the local gathering of grid points, the regriding technique is employed so that all the grids on the free surface may be distributed with an equal distance. This makes it possible to reduce time interval and improve numerical stability. Special attention is paid to the local flow around the body during time integration. The nonlinear radiation force is calculated by the "acceleration potential technique". Present results show good agreement with other numerical computations and experiments.

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Explicit Nonlinear Finite Element Analysis for Flexure Behavior of FRP-Concrete Composite Beam (FRP-콘크리트 합성보의 휨거동에 관한 외연적 비선형 유한요소해석 연구)

  • Yoo, Seung Woon;Kang, Ga Ram
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.37 no.2
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    • pp.269-276
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    • 2017
  • In order to study ultimate flexure behavior of FRP-concrete composite structures which can replace reinforced concrete structures, ABAQUS, a general purpose analysis program, was utilized for numerical nonlinear analysis of structural performance and behavior characteristics of FRP-concrete composite beams. Explicit nonlinear finite element analysis was conducted and the numerical results were compared with previous experiments. Concrete damaged plasticity model was adopted as material properties of concrete and Euro code was used as compressive stress state. Nonlinear analysis was performed for four different types of FRP-concrete composite beams, and ultimate load and cracking pattern was compared and analyzed. The model suggested in this research was able to simulate ultimate load and cracking pattern properly, it is expected to be utilized in study of precise structural and behavioral characteristics of various FRP-concrete composite structures.

Dynamic Analysis of Gimbal Structure System Including Nonlinear Elastic Rubber Vibration Isolator with Shock Acceleration (비선형 탄성 방진 고무부에 충격 가속도를 받는 짐발 구조 시스템의 동적 해석)

  • Lee, Sang Eun;Lee, Tae Won
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.40 no.4
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    • pp.415-422
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    • 2016
  • When shock acceleration is applied to a mechanical system, it may cause malfunctioning and damage to the system. Hence, to prevent these problems when developing a gimbal structure system for observation reconnaissance, the MIL-STD-810G shock standard must be satisfied as a design specification. Rubber vibration isolators are generally assembled on the base of the system in order to reduce the shock transferred from the aircraft. It is difficult to analyze the transient behavior of the system accurately, because rubber has a nonlinear load-deformation curve. To treat the nonlinear characteristic of the rubber, bilinear approximation was introduced. Using this assumption, transient responses of the system under base shock acceleration were calculated by the finite element method. In addition, experiments with a true prototype were performed using the same conditions as the analytical model. Compared with experimental data, the proposed numerical method is useful for the transient analysis of gimbal structure systems, including rubber vibration isolators with nonlinear stiffness and damping.

Study on Real Time Control of Robot Manipulator Using Sliding Mode (슬라이딩 모드를 이용한 로보트 매니퓰레이터의 실시간 제어에 관한 연구)

  • ;靑島伸治
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.11
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    • pp.2011-2020
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    • 1992
  • This paper discusses about real time control applying sliding mode to robot manipulators whose nonlinear terms, which are inertia term, Corilis term and centrifugal force mterm, are regarded as disturbances. We could simplify the dynamic equations of a manipulator and servo system, which are composed of linear elements and nonlinear elements, by assuming that non-linear terms are external disturbance. By simplifying that equation, we could easily obtain a control input which satisfy sliding mode. We proposed a new control input algorithm to decrease chattering in the application of sliding mode control of manipulator whose nonlinear elements are regarded as disturbances. We could take impulse response of linear elements of dynamic equations of a robot manipulator and servo system by Signal Compression Method. So then, we could obtain the unknown parametes of its linear lements, which are used to obtain switching parameter satisfying sliding mode, by Signal Compression Method. In this experiments, we used DSP(Digital Signal Processor) controller to suppress chattering by obtaining a switching speed and to carry out real time control.