• Title/Summary/Keyword: nonlinear coupling

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The effect of ion to electron mass ratio on Ion beam driven instability and ion holes by PIC simulation

  • Hong, Jin-Hy;Lee, En-Sang;Min, Kyoung-Wook;Parks, George.K.
    • The Bulletin of The Korean Astronomical Society
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    • v.37 no.1
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    • pp.92.2-92.2
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    • 2012
  • Previous simulations posed a problem that they used reduced ion to electron mass ratios to save computation time. It was assumed that ion and electron dynamics are sufficiently separated, but it was not clearly verified. In this study, we examine the effect of ion to electron mass ratios on the generation of ion holes by ion beam driven instability. Ion holes are generated via electron holes in an applied electric field with the given initial condition. First, the ion acoustic instability is excited and nonlinearly develops. After the ion acoustic instability nonlinearly develops, the ion two-stream instability is excited and develops into ion holes. This implies that the previously suggested ion beam driven instability is strongly affected by the coupling between ions and electrons and the ion to electron mass ratio is important on the development of the instability. The energy transition and detail variation is different as reduced mass ratio under the same observation value based on FAST satellite. Although, the parameters are rescaled by conserving the kinetic energy to obtain the proper results, the nonlinear evolution is not perfectly identical.

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Geometric Non-linear Analysis of the Plane Frame Structures including Shear Deformation Effect (전단변형(剪斷變形)을 고려(考慮)한 평면(平面)뼈대 구조물(構造物)의 기하적(幾何的)인 비선형(非線形) 해석(解析))

  • Kim, Moon Young;Chang, Sung Pil
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.10 no.1
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    • pp.27-36
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    • 1990
  • Two beam/column elements in order to analyze the geometric nonlinear plane framed structures including the effects of transverse shear deformation and bending stretching coupling are developed. In the case of the first element (finite segment method), tangent stiffness matrix are derived by directly integrating the equilibrium equations whereas in the case of the second element (finite element method) elastic and geometric stiffness matrices are calculated by using the hermitian polynomials including shear deformation effect as the shape function. Both elements possess the usual six degree of freedoms. Numerical results are presented for the selected test problems which demonstrate that both elements represent reliable and highly accurate tools.

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An Extended Similarity Solution for One-Dimensional Multicomponent Alloy Solidification in the Presence of Shrinkage-Induced Flow (체적수축유동이 있는 일차원 다원합금 응고에 대한 확장된 해석해)

  • Chung, Jae-Dong;Yoo, Ho-Seon;Choi, Man-Soo;Lee, Joon-Sik
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.3
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    • pp.426-434
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    • 2000
  • This paper deals with a generalized similarity solution for the one-dimensional solidification of ternary or higher-order multicomponent alloys. The present approach not only retains the existing features of binary systems such as temperature- solute coupling, shrinkage-induced flow, solid-liquid property differences, and finite back diffusion, but also is capable of handling a multicomponent alloy without restrictions on the partition coefficient and microsegregation parameter. For an alloy of N-solute species, governing equations in the mushy region reduce to (N+2) nonlinear ordinary differential equations via similarity transformation, which are to be solved along with the closed-form solutions for the solid and liquid regions. A linearized correction scheme adopted in the solution procedure facilitates to determine the solidus and liquidus positions stably. The result for a sample ternary alloy agrees excellently with the numerical prediction as well as the reported similarity solution. Additional calculations are also presented to show the utility of this study. Finally, it is concluded that the present analysis includes the previous analytical approaches as subsets.

A Study on High Performance Controller Design of Elastic Maniplator (탄성매니퓰레이터의 고성능 제어기 설계에 관한 연구)

  • Lee, Ji-U;Han, Seong-Hyeon;Lee, Man-Hyeong
    • Journal of the Korean Society for Precision Engineering
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    • v.9 no.3
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    • pp.73-82
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    • 1992
  • An industrial robot, installed real manufacturing processes an element of the system autmation, can be considered as an uncertain system due to dynamic uncertainties in inertial parameters and varying payloads. Most difficuties in controlling a robot manipulator are caused by the fact that the dynamic equations describing the motions of the manipulator are inherently nonlinear and heavily coupled effects between joints and associated links. Existing robot conrol systems have constant predefined gains and do not cover the complex dynamic interactions between manipulator joints. As a result, the manipulator is severly limited in range of application, speed of operation and variation of payload. The proposed controller is operated by adjusting its gains based on the response of the manipulator in such a way that the manipulator closely matches the reference model trajectories defined by the desinger. The proposed manipulator studied has two loops, an inner loop of model reference adaptive controller and an outer loop of state feedback controller with integral action to guarantee the stability of the adaptive scheme. This adaptation algorithm is based on the hyperstailiy approach with an improved Lyapunov function. The coupling among joints and the nonlinearity in the dynamic equation are explicitly considered. The designed manipulator controller shows good tracking performance in practical working environment, various load variations and parameter uncertainties.

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Use of Composite Tailoring Techniques for a Low Vibration Rotor (복합재료 테일러링 기법을 이용한 저진동 로터 개발)

  • 이주영;박일주;정성남
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.575-580
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    • 2004
  • In this work, the effect of composite couplings and mass distributions on hub loads of a hingeless rotor in forward flight is investigated. 1'he hingeless composite rotor is idealized as a laminated thin-walled box-beam. The nonclassical effects such as transverse shear and torsion warping are considered in the structural formulation. The nonlinear differential equations of motion are obtained by applying Hamilton's principle. The blade responses and hub loads are calculated using a finite element formulation both in space and time. The aerodynamic forces acting on the blade are calculated using the quasi-steady strip theory. The theory includes the effects of reversed flow and compressibility The magnitude of elastic couplings obtained by MSC/NASTRAN is compared with the classical pitch-flap($\delta$$_{3}$) coupling. It is observed that the elastic couplings and mass distributions of the blade have a substantial effect on the behavior of $N_{b/}$rev hub loads. About 40% hub loads is reduced by tailoring or redistributing the structural properties of the blade.f the blade.

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Comparative Simulation of flicker Mitigating Efficiencies of Various Compensating Devices using Matlab/Simulink (Matlab/Simulink를 이용한 무효전력 보상장치의 플리커 저감 효과 연구)

  • Jung, Jae-Ahn;Cho, Soo-Hwan;Jang, Gil-Soo;Kang, Moon-Ho
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.83-84
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    • 2008
  • Voltage fluctuation, also known as flicker, is a power quality problem caused by nonlinear loads like electric arc furnace. Since it is interpreted as a variation of the supplied electrical energy, it causes the residential customers to feel much annoyed visually through the lamps. Due to the statistical nature of IEC (International Electrotechnical Commission) short-term flicker severity index, Pst, it is not feasible to pre-evaluate the flicker level using the transient power system simulators such as Sim Power System in Matlab/Simulink. So this paper presents not only how to design the Matlab/Simulink IEC flickermeter to yield the Pst value, which considering electric distribution environments of South Korea, but also how to mitigate the voltage flicker at the Point of Common Coupling (PCC). In order to achieve this, the flicker mitigation efficiencies of various compensating devices, such as Static Var Compensator (SVC), STATCOM will be applied and compared. The simulated result demonstrates which compensating equipment is the most efficient method to mitigate the flicker phenomenon.

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Dynamic analysis of high-speed railway train-bridge system after barge collision

  • Xia, Chaoyi;Ma, Qin;Song, Fudong;Wu, Xuan;Xia, He
    • Structural Engineering and Mechanics
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    • v.67 no.1
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    • pp.9-20
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    • 2018
  • In this paper, a framework is proposed for dynamic analysis of train-bridge systems with a damaged pier after barge collision. In simulating the barge-pier collision, the concrete pier is considered to be nonlinear-inelastic, and the barge-bow is modeled as elastic-plastic. The changes of dynamic properties and deformation of the damaged pier, and the additional unevenness of the track induced by the change of deck profile, are analyzed. The dynamic analysis model for train-bridge coupling system with a damaged pier is established. Based on the framework, an illustrative case study is carried out with a $5{\times}32m$ simply-supported PC box-girder bridge and the ICE3 high-speed train, to investigate the dynamic response of the bridge with a damaged pier after barge collision and its influence on the running safety of high-speed train. The results show that after collision by the barge, the vibration properties of the pier and the deck profile of bridge are changed, forming an additional unevenness of the track, by which the dynamic responses of the bridge and the car-body accelerations of the train are increased, and the running safety of high-speed train is affected.

Nonlinear Fracture Finite Element Model of Reinforced Concrete Plates (철근콘크리트판의 비선형 파괴 유한요소 모델에 관한 연구)

  • Jin, Chi Sub;Cha, Young Soo;Eom, Jong Uk
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.8 no.3
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    • pp.11-20
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    • 1988
  • A general finite element method is developed to analyze reinforced concrete plates under dead loads and monotonically increasing live loads. This method can be used to trace the load-deformation response and crack propagation through elastic, inelastic and ultimate ranges. The internal concrete and steel stresses can also be determined for any stage of the response history. A layered 8 node isoparametric element taking account of coupling effect between the membrane and the bending action is developed. An incremental tangent stiffness method is used to obtain a numerical solution. Validity of the method is studied by comparing the numerical solutions with other results.

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A Study on the Nonlinearity of Chaotic Signal by Bispectral Analysis (바이스펙트럼 해석에 의한 카오스 신호의 비선형성에 관한 연구)

  • Lee, Hae-Jin;Lee, Gyeong-Tae;Park, Young-Sun;Cha, Kyung-Joon;Park, Moon-Il;Oh, Jae-Eung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.8
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    • pp.817-825
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    • 2007
  • During thirty years, deterministic chaos has moved center stage in many areas of applied mathematics. One important stimulus for this, particularly in the early 1970s, was work on nonlinear aspects of the dynamics of plant and animal populations. There are many situations, at least to a crude first approximation, by a simple first-order difference equation. Past studies have shown that such equations, even though simple and deterministic, can exhibit a surprising array of dynamical behavior, from stable points, to a bifurcating hierarchy of stable cycles, to apparently random fluctuations. But higher-order spectral analyses of such behavior are usually not considered. Higher-order spectra of a signal contain important information that is not present in its power spectrum. So, if we find the spectral pattern and get information from it, it will be able to be used effectively in so many fields. Hence, this paper uses auto bicoherence and bicoherence residue which are sort of bispectrum. Applying these to behavior of logistic difference equation, which is typical chaotic signal, the phenomenon of phase coupling and the appearance of frequency band can be analyzed. Such information means that bispectral analysis is useful to detect nonlinearity of signal.

Use of Composite Tailoring Techniques for a Low Vibration Rotor (복합재료 테일러링 기법을 이용한 저진동 로터 개발)

  • 이주영;박일주;정성남
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.8
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    • pp.734-740
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    • 2004
  • In this work, the effect of composite couplings and mass distributions on hub loads of a hingeless rotor in forward flight is investigated. The hingeless composite rotor is idealized as a laminated thin-walled box-beam. The nonclassical effects such as transverse shear and torsion warping are considered In the structural formulation. The nonlinear differential equations of motion are obtained by applying Hamilton’s principle. The blade responses and hub loads are calculated using a finite element formulation both in space and time. The aerodynamic forces acting on the blade are calculated using the quasi-steady strip theory. The theory includes the effects of reversed flow and compressibility. The magnitude of elastic couplings obtained by MSC/NASTRAN is compared with the classical pitch-flap($\delta$$_3$) coupling. It Is observed that the elastic couplings and mass distributions of the blade have a substantial effect on the behavior of $N_{b}$ /rev hub loads. About 40% hub loads is reduced by tailoring or redistributing the structural properties of the blade.e.