• Title/Summary/Keyword: nonlinear system analysis

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A Study on the Analysis and Optimal Control of Nonlinear Systems via Walsh Function (월쉬함수에 의한 비선형계의 해석 및 최적제어에 관한 연구)

  • Kim, Jin-Tae;Kim, Tae-Hun;Lee, Myeong-Gyu;An, Du-Su
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.7
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    • pp.354-362
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    • 2000
  • This paper presents the new adaptive optimal scheme for the nonlinear systems, which is based on the Picard's iterative approximation and fast Walsh transform. It is well known that the Walsh function approach method is very difficult to apply for the analysis and optimal control of nonlinear systems. However, these problems can be easily solved by the improvement of the previous adaptive optimal scheme. The proposed method is easily applicable to the analysis and optimal control of nonlinear systems.

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Nonlinear frequency Response Analysis of Hydrodynamic Journal Bearing Under External Disturbance (외란을 받는 저널 베어링의 비선형 주파수 응답 해석)

  • 노병후;김경웅
    • Tribology and Lubricants
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    • v.15 no.1
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    • pp.68-76
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    • 1999
  • This paper presents the nonlinear characteristics of the oil lubricated hydrodynamic journal bearing. The traditional approach is to characterize the behavior and performance of fluid film hydrodynamic journal bearings by means of linearized bearing analysis. The objective of this paper is to examine the nonlinear characteristics of the journal bearing when an external sinusoidal shock is given to the system. The oil film force is obtained by solving the finite width Reynolds equation at each time step by the solution of the column method. Frequency response function and journal orbit obtained from both linear and nonlinear bearing simulations are compared with each other.

Nonlinear Frequency Response Analysis of Circumferentially Grooved Journal Bearing Considering Cavitation (공동을 고려한 원주방향 급유홈 저널 베어링의 비선형 진동 해석)

  • 노병후;김경웅
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 1999.11a
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    • pp.160-166
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    • 1999
  • Nonlinear characteristics of the hydrodynamic journal bearing with circumferentially groove are analyzed numerically considering cavitation region, when an external sinusoidal shock is given to the system. The oil film force is obtained by solving the finite width universal Reynolds equation at each time step. Frequency response function and journal orbit obtained from both linear and nonlinear bearing simulations are compared with each other. The vibration response of the journal is different from the expectation obtained from the linear analysis as increase the vibration amplitude of external disturbance. Therefore, the linear theory is not adequate, and the nonlinear calculation such as used in this research is needed to design safety rotor systems.

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The Analysis of Discharge Characteristics for Discharge Excited KrF Laser System (방전여기 KrF 레이저 장치의 방전특성 해석)

  • Jeong, Jae-Keun;Choi, Boo-Yeon;Lee, Choo-Hie
    • Proceedings of the KIEE Conference
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    • 1988.07a
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    • pp.393-396
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    • 1988
  • In discharge excited excimer laser, it is hard to say that the analysis of laser operation was well explained until now. But this can be improved by analysis the nonlinear discharge characteristics in the cavity. The nonlinear characteristics can be analysed by solving the nonlinear resistance which depends on electron mobility and number density. We can calculate the electron mobility and number density each other using Boltzmann equation and Kinetics equation. So we calculated the nonlinear resistance and analysed nonlinear discharge characteristics.

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Analysis of nonlinear control systems with various diher signals (비선형제어계에 사용하는 제선형화신호의 해석)

  • 이상혁
    • 전기의세계
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    • v.13 no.2
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    • pp.5-10
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    • 1964
  • Some nonlinearities in feedback control systems, such as relay servo, Coulomb friction, saturating amplifier of backlash in gears cause some undesirable effects. These may be static errors, limit cycles or jump phenomena. So, linearizing method of these nonlinearities using dither signals was first suggested by Loeb. He pointed out that the addition of high frequency signal to either the input or the output of a nonlinear system would make the nonlinear performance approximate the performance of linear systems. He used high-frequency sinusoidal wave as dither signal. But, in this thesis, general method of analysis is suggested for nonlinear control systmes using various dither signals, such as noise signal of Gaussian amplitude distribution, sinusoidal dither signal and sawtooth dither signal. Also, the advantage and disadvantage of these dither signals are compared. Throughout the analysis statistical method is adopted and lastly analog computer is used for the experiment of various nonlinear systems using dither signals.

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Nonlinear Finite Element Analysis for the Precast Concrete Large Panel Subassemblage subjected to Horizontal Force (수평하중을 받는 프리캐스트 콘크리트 대형 판넬 부분구조의 비선형 해석)

  • 박병순;서수연;이원호;이리형
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1993.10a
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    • pp.157-162
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    • 1993
  • During earthquakes, the joints provide a principal means for energy dissipation, and these are also responsible for introducing a nonlinear behavior to the overall building system, while large panels remain in the elastic range. In analysis for the precast concrete large panel system, it is difficult to make a general analysis for their behavior because of differences in joint details. Therefore, in case of presence of vertical joints, it is more difficult because of the interaction between the horizontal joints and vertical joints, In this study, a nonlinear finite element analysis is performed using the gap element, friction element, and concrete material model, and the results are compared with the experimental results.

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Nonlinear Analysis on Dynamic Behavior of a Rotor-Bearing System Under External Disturbances (외란을 받는 축-베어링 시스템의 동적 거동에 대한 비선형 해석)

  • 노병후;김경웅
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2001.06a
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    • pp.334-339
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    • 2001
  • The nonlinear vibration characteristics of hydrodynamic journal bearings with a circumferentially groove are analyzed numerically when the external sinusoidal disturbances are given to the rotor-bearing system continuously. Also, the cavitation algorithm implementing the Jakobsson-Floberg-Olsson boundary condition is adopted to predict cavitation regions in the fluid film more accurately than conventional analysis which uses the Reynolds condition. It is found that the difference between linear and nonlinear analysis is much more remarkable as the amplitude of external disturbance increases, and it depends upon the excitation frequency of external disturbance. It is also shown that the cavity region in the fluid film is increased as the amplitude or excitation frequency of external disturbance increases. The whirling center of the steady state orbit moves closer to the bearing center as the amplitude or the excitation frequency of the external disturbance increases because of smaller range of full film region.

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Ride Quality of a Passenger Car with Nonlinear Suspension System (현가장치의 비선형성을 고려한 승용차의 승차감 해석)

  • Cho, Sung-Jin;Choi, Yeon-Sun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.838-843
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    • 2005
  • The nonlinear characteristics of a suspension is directly related to the ride quality of a passenger car. In this study, a dynamic experiment for a spring and a damper of a passenger car is performed to analyze the nonlinear characteristics using MTS 1-axial testing machine and a mathematical nonlinear dynamic suspension model based on experimental data is devised to estimate the ride quality using Billings' method. The devised nonlinear model is applied to the ride quality analysis using K factor and the effect of suspension parameters is examined. As a result, the friction between the cylinder and the piston of a damper is the most effective parameter for the ride quality of a passenger car.

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Nonlinear responses of an arbitrary FGP circular plate resting on the Winkler-Pasternak foundation

  • Arefi, Mohammad;Allam, M.N.M.
    • Smart Structures and Systems
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    • v.16 no.1
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    • pp.81-100
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    • 2015
  • This paper presents nonlinear analysis of an arbitrary functionally graded circular plate integrated with two functionally graded piezoelectric layers resting on the Winkler-Pasternak foundation. Geometric nonlinearity is considered in the strain-displacement relation based on the Von-Karman assumption. All the mechanical and electrical properties except Poisson's ratio can vary continuously along the thickness of the plate based on a power function. Electric potential is assumed as a quadratic function along the thickness direction. After derivation of general nonlinear equations, as an instance, numerical results of a functionally graded material integrated with functionally graded piezoelectric material obeying two different functionalities is investigated. The effect of different parameters such as parameters of foundation, non homogenous index and boundary conditions can be investigated on the mechanical and electrical results of the system. A comprehensive comparison between linear and nonlinear responses of the system presents necessity of this study. Furthermore, the obtained results can be validated by using previous linear and nonlinear analyses after removing the effect of foundation.

Cheap control for a class of nonlinear system

  • Lee, Jie-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10a
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    • pp.812-816
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    • 1987
  • A quadratic regulator problem for a class of nonlinear system, in which a small parameter multiplies the control cost, is considered. In the analysis of the problem, we utilize the method of multiple time-scale decomposition which has been devised for analyzing complex linear cheap control problems. In so doing, we extend the class of nonlinear systems, considerably, for which the minimum cost becomes zero as the small parameter goes to zero.

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