• Title/Summary/Keyword: a nonlinearity

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Ultrasonic linear and nonlinear properties of fatigued aluminium 6061-T6 with voids (기공을 포함한 피로손상 알루미늄 6061-T6의 초음파 특성평가)

  • Kang, To;Song, Sung-Jin;Na, Jeong K.;Park, Jin-Ho
    • Journal of the Korean Institute of Gas
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    • v.19 no.5
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    • pp.41-46
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    • 2015
  • It is known that in aluminum 6061-T6, which is composed of $Mg_2Si$ and ${\beta}-Al_5FeSi$, void nucleation grows around ${\beta}-Al_5FeSi$ of Al606-T6. In this work, growth of voids was checked by scanning a 6061-T6 specimen with SEM observation. The effects of dislocation damping, coherency strain and voids on ultrasonic attenuation and nonlinearity parameters were experimentally measured. It was observed that a nonlinearity parameter increases until 75 percent of fatigue life and decreases after that. From the results, the authors inferred that dislocation damping and coherency damping increase nonlinearity parameters and void nucleation decreases them as ultrasonic scattering increases with void. The application of nonlinearity parameters in estimating degradation of materials with complex microstructures through fatigue process, therefore, should be carefully considered.

Detecting Nonlinearity of Hydrologic Time Series by BDS Statistic and DVS Algorithm (BDS 통계와 DVS 알고리즘을 이용한 수문시계열의 비선형성 분석)

  • Choi, Kang Soo;Kyoung, Min Soo;Kim, Soo Jun;Kim, Hung Soo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.2B
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    • pp.163-171
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    • 2009
  • Classical linear models have been generally used to analyze and forecast hydrologic time series. However, there is growing evidence of nonlinear structure in natural phenomena and hydrologic time series associated with their patterns and fluctuations. Therefore, the classical linear techniques for time series analysis and forecasting may not be appropriate for nonlinear processes. In recent, the BDS (Brock-Dechert-Scheinkman) statistic instead of conventional techniques has been used for detecting nonlinearity of time series. The BDS statistic was derived from the statistical properties of the correlation integral which is used to analyze chaotic system and has been effectively used for distinguishing nonlinear structure in dynamic system from random structures. DVS (Deterministic Versus Stochastic) algorithm has been used for detecting chaos and stochastic systems and for forecasting of chaotic system. This study showed the DVS algorithm can be also used for detecting nonlinearity of the time series. In this study, the stochastic and hydrologic time series are analyzed to detect their nonlinearity. The linear and nonlinear stochastic time series generated from ARMA and TAR (Threshold Auto Regressive) models, a daily streamflow at St. Johns river near Cocoa, Florida, USA and Great Salt Lake Volume (GSL) data, Utah, USA are analyzed, daily inflow series of Soyang dam and the results are compared. The results showed the BDS statistic is a powerful tool for distinguishing between linearity and nonlinearity of the time series and DVS plot can be also effectively used for distinguishing the nonlinearity of the time series.

Robot Arm Design with Nonlinearity and Workspace Consideration (비선형 효과 및 작업 공간을 고려한 로보트 팔의 설계)

  • Lee, Sang-Jo;Yun, Yeong-Sik
    • Journal of the Korean Society for Precision Engineering
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    • v.5 no.3
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    • pp.20-30
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    • 1988
  • Using the design parameters of multi-joint manipulator, worspace of the manipulator were evaluated analytically, and the relation between such design parameters and nonlinearity of the manipulator were presented dynamically. The ratio of the volumes of a manipulator's workspace to the cube of its total link length presents a kinematic performance index [NVI] for the manipullator. It is possible to geometrically represent the manipulator dynamics with the generalized inertia ellipsoid (GIE). The relation between the GIE configuration and the characteristics of manipulator dynamics was analysed in terms of inertia and nonlinear forces (Coliolis and centrifugal forces). The nonlinearity caused by the change of the GIE configuration were affected by the difference between the major and minor axes length of the GIE. The results of this investigationare applied to the optimal design of the manipulator.

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Geometric Nonlinear Analysis of Flexible Media Using $C^1$ Beam Element ($C^1$보요소를 이용한 유연매체의 기하비선형 해석)

  • Jee, Jung-Geun;Hong, Sung-Kwon;Jang, Yong-Hoon;Park, No-Cheol;Park, Young-Pil
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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    • pp.326-329
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    • 2005
  • In the development of sheet-handling .machinery, it is important to predict the static and dynamic behavior of the sheets with a high degree of reliability because the sheets are fed and stacked at suck a high speed flexible media behaves geometric nonlinearity of large displacement and small strain. In this paper, static analysis of flexible media are performed by FEM considering geometric nonlinearity. Linear stiffness matrix and geometric nonlinear stiffness matrix based m the updated Lagrangian approach are derived using $C^1$ beam element and numerical simulations are performed by Updated Newton-Raphson(UNR) method.

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Dynamic Analysis of a Flexible Spinning Disk with Angular Acceleration Considering Nonlinearity (비선형성을 고려한 각가속도를 갖는 유연 회전원판의 동적 해석)

  • 정진태;정두한
    • Journal of KSNVE
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    • v.9 no.4
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    • pp.806-812
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    • 1999
  • Dynamic behaviors are analyzed for a flexble spinning disk with angular acceleration, considering geometric nonlinearity. Based upon the Kirchhoff plate theory and the von Karman strain theory, the nonlinear governing equations are derived which are coupled equations with the in-plane and out-of-planedisplacements. The governing equations are discretized by using the Galerkin approximation. With the discretized nonlinear equations, the time responses are computed by using the generalized-$\alpha$ method and the Newton-Raphson method. The analysis shows that the existence of angular acceleration increases the displacements of the spinning disk and makes the disk unstable.

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Reduction nonlinearity of output luminance using modified ADS driving method in SMPDP

  • Cheng, Li'an;Xia, J.;Tang, Y.M.;Wu, Z.;Zheng, Y.S.;Zhang, X.;Wang, B.P.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2006.08a
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    • pp.1487-1490
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    • 2006
  • One of the factors deteriorating PDP image quality is the nonlinearity and nonuniform of output luminance as a function of input gray level. A novel method using modified ADS driving scheme is proposed to decrease this nonlinearity. It optimizes the reset pulse and adjusts the subfields, makes the relation of output luminance and input gray level almost linear. This method can be applied to general commercial PDPs.

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Stability analysis of fuzzy logic controller using the concept of sector bound nonlinearity (제한된 부채꼴에서의 비선형 개념을 이용한 퍼지 논리제어기의 안정성 해석)

  • 김인익;박상배;이균경
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.573-578
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    • 1991
  • A stability analysis technique has been proposed for linear SISO system associated with fuzzy logic controller. An analysis technique using the concept of well-known sector bound nonlinearity and its graphical interpretation, i.e., the circle criterion, is presented. Thus the use of classical Nyquist locus and the BODE diagram is brought into the picture. The aim of this present note is to represent a graphical approach based on sector bound nonlinearity and circle criterion for assessing the performance(degree of stability) of the linear SISO system associated with fuzzy logic controller. The degree of stability of the system is defined in terms of its gain and phase margins as defined in Section 3.

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VCO Nonlinearity Correction Technique using an Internal Reflection (내부 반사를 이용한 VCO 비선형성 보정기법)

  • 김병욱;김영수
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2000.11a
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    • pp.158-161
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    • 2000
  • In this paper, we propose a new technique to compensate for the VCO nonlinearity using only the returned beat signal whose spectrum contains the internal reflections and the targets simultaneously. In the case of a distance measurement system using single antenna, the reflections from the circulator and the antenna are much larger than the return signal from target. The beat signal by these reflections is at much lower frequency than that of the target, and the VCO nonlinearity can be compensated leer using these signals. Indoor experiments were carried out and the results show marked improvement in the shape of range profile arid the range resolution.

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Robust H(sup)$\infty$ FIR Sampled-Data Filtering for Uncertain Time-Varying Systems with Lipschitz Nonlinearity

  • Ryu, Hee-Seob;Yoo, Kyung-Sang;Kwon, Oh-Kyu
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.4
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    • pp.255-261
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    • 2000
  • This paper presents the results of the robust H(sub)$\infty$ FIR filtering for a class of nonlinear continuous time-varying systems subject to real norm-bounded parameter uncertainty and know Lipschitz nonlinearity under sampled measurements. We address the problem of designing filters, using sampled measurements, which guarantee a prescribed H(sub)$\infty$ performance in continuous time-varying context, irrespective of the parameter uncertainty and unknown initial states. The infinite horizon causal H(sub)$\infty$FIR filter are investigated using the finite moving horizon in terms of two Riccati equations with finite discrete jumps.

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Theoretical study of Electromagnetic Waves in Chiral media: about Nonlinearity & Multilayers (Chiral 매질에서, 전자기파의 비선형성과 여러겹 구조에서의 Coupled-mode theory에 관한 연구)

  • Jeong, Yoon-Chan;Lee, Hyuk
    • Proceedings of the KIEE Conference
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    • 1995.11a
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    • pp.547-551
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    • 1995
  • We analyze the nonlinearity of chiral media and coupled-mode theory of chiral multilayers. In first topic, second order nonlinear coupled equations are constructed and a phase matchine method is suggested. This approach can be developed to higher order nonlinearity and electric-field-induced second harmonic generation. In second topic, coupled mode equation in chiral multilayers is constructed, and solved for both codirectional coupling and contradirectional coupling. There is a previous formulation about chiral mutilayers[1] with 4$\times$4 matrix but it did not give detail results, so this approach will be compared with that.

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