• Title/Summary/Keyword: Nonlinear Relationship

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Linear and Nonlinear Optical Properties of Vanadium Pentoxide Films Prepared by Pulsed-Laser Deposition

  • Cui, Liqi;Wang, Ruiteng;Wang, Weitian
    • Korean Journal of Materials Research
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    • v.31 no.7
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    • pp.382-385
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    • 2021
  • Well-crystallized vanadium pentoxide V2O5 thin films are fabricated on MgO single crystal substrates by using pulsed-laser deposition technique. The linear optical transmission spectra are measured and found to be in a wavelength range from 300 to 800 nm; the data are used to determine the linear refractive index of the V2O5 films. The value of linear refractive index decreases with increasing wavelength, and the relationship can be well explained by Wemple's theory. The third-order nonlinear optical properties of the films are determined by a single beam z-scan method at a wavelength of 532 nm. The results show that the prepared V2O5 films exhibit a fast third-order nonlinear optical response with nonlinear absorption coefficient and nonlinear refractive index of 2.13 × 10-10 m/W and 2.07 × 10-15 cm2/kW, respectively. The real and imaginary parts of the nonlinear susceptibility are determined to be 3.03 × 10-11 esu and 1.12 × 10-11 esu, respectively. The enhancement of the nonlinear optical properties is discussed.

Building a Nonlinear Relationship between Air and Water Temperature for Climate-Induced Future Water Temperature Prediction (기후변화에 따른 미래 하천 수온 예측을 위한 비선형 기온-수온 상관관계 구축)

  • Lee, Khil-Ha
    • Journal of Environmental Policy
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    • v.13 no.2
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    • pp.21-38
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    • 2014
  • In response to global warming, the effect of the air temperature on water temperature has been noticed. The change in water temperature in river environment results in the change in water quality and ecosystem, especially Dissolved Oxygen (DO) level, and shifts in aquatic biota. Efforts need to be made to predict future water temperature in order to understand the timing of the projected river temperature. To do this, the data collected by the Ministry of Environment and the Korea Meteororlogical Administration has been used to build a nonlinear relationship between air and water temperature. The logistic function that includes four different parameters was selected as a working model and the parameters were optimized using SCE algorithm. Weekly average values were used to remove time scaling effect because the time scale affects maximum and minimum temperature and then river environment. Generally speaking nonlinear logistic model shows better performance in NSC and RMSE and nonlinear logistic function is recommendable to build a relationship between air and water temperature in Korea. The results will contribute to determine the future policy regarding water quality and ecosystem for the decision-driving organization.

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Comparative Study on the Nonlinear Material Model of HyperElastic Material Due to Variations in the Stretch Ratio (신장률 변화에 따른 초탄성 재료의 비선형 재료모델 비교 연구)

  • Lee, Kangsu;Ki, Minsuk;Park, Byoungjae
    • Journal of Ocean Engineering and Technology
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    • v.32 no.4
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    • pp.253-260
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    • 2018
  • Recently, the application of non-steel materials in ships and offshore plants is increasing because of the development of various nonlinear materials and the improvement of performance. Especially, hyper-elastic materials, which have a nonlinear stress-strain relationship, are used mainly in marine plant structures or ships where impact relaxation, vibration suppression, and elasticity are required, while elasticity must be maintained, even under high strain conditions. In order to simulate and evaluate the behavior of the hyperelastic material, it is very important to select an appropriate material model according to the strain of the material. This study focused on the selection of material models for hyperelastic materials, such as rubber used in the marine and offshore fields. Tension and compression tests and finite element simulations were conducted to compare the accuracy of the nonlinear material models due to variations in the stretch ratio of hyper-elastic material. Material coefficients of nonlinear material models are determined based on the curve fitting of experimental data. The results of this study can be used to improve the reliability of nonlinear material models according to stretch ratio variation.

Stabilization of Nonlinear Discrete-Time Systems in a Frequency Domain

  • Okuyama, Yoshifumi;Nakamori, Kenji;Takemori, Fumiaki
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.33.2-33
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    • 2001
  • The robust stability condition for sampled-data control systems with a sector nonlinearity was presented in our previous paper. Although it is applicable only to the sampled-data control system of a certain class, a usual discretetime control system can belongs to this type of class. This paper analyzes the amplitude dependent behavior of nonlinear sampled-data (i.e., discrete-time) control systems in a frequency domain. By considering restricted areas (sectors) in the nonlinear characterisitic, the existence of a sustained oscillation is estimated, and the relationship between the stable/unstable conditions and the result derived from describing function is compared. Based on these considerations, the stabilization of nonlinear discrete-time control systems is examined in the frequency domain.

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Nonlinear Modeling of Piezoelectric Actuators for Scanning Tunneling Microscopy (주사터널링현미경을 위한 압전구동기의 비선형 모델링)

  • 정승배;박준호;김승우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.9
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    • pp.2272-2283
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    • 1994
  • In scanning tunneling microscopy, the piezoelectric actuator is popuilarly used in stacked type as it can provide remarkable positioning resolution and stiffness. The actuator, however, exhibits a considerable amount of hystereic nonlinearity, resulting in losses of overall measuring accuracy when a linear model is used for its control and calibration, In this study, a nonlinear model is proposed for predicting the precise relationship between the input connand voltage and the output displacement of the actuator itself, cross-coupled electrical behaviours of the driving circuit with the actuator, and mechanical characteristics of the driven components of the actuator. Finally experimental results prove that the nonlinear model enhances the measuring of scanning tunneling microscopy by an order ten in comparison with a conventional linear model.

A method of nonlinear optimal regulator using a Liapunov-like function

  • Kawabata, Hiroaki;Shirao, Yoshiaki;Nagahara, Toshikuni;Inagaki, Yoshio
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.1060-1065
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    • 1990
  • In general it is difficult to determine a Liapunov function for a given asymptotically stable, nonlinear differential equations system. But, in the system with control inputs, it is feasible to make a given positive function, except for a small area, globally satisfy the conditions of the Liapunov function for the system. We call such a positive function a Liapunov-like function, and propose a method of nonlinear optimal regulator using this Liapunov-like function. We also use the periodic Liapuitov-like friction that suits the system whose equilibrium points exist periodically. The relationship between the Liapunov function and cost function which this nonlinear regulator minimizes is considered using inverse optimal method.

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Nonlinear Time-Domain Analysis of Underground Subway Structure Subjected to Seismic Loadings (지진하중에 대한 지하철구조물의 비선형 시간영역해석)

  • 김재민;이중건
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2001.09a
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    • pp.163-170
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    • 2001
  • This paper presents results of nonlinear analyses for underground structures including both the soil-structure interaction and nonlinear behavior of concrete material. For this purpose, a hybrid method is employed, in which a dynamic analysis technique for a linear soil-structure interaction system and a general purpose FE program are combined in hybrid and practical manners. A couple of nonlinear analyses are carried out for framed structures in multi-layered half space soil medium. The yielding of concrete structure is considered by a multi-linear stress- strain relationship. The numerical results suggest that ductile design fur the intermediate columns in the underground framed structure is substantially important in aseismic design.

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Nonlinear Dynamic Analysis of Vehicle-Bridge Interaction considering the Hertzian Contact Spring and Rail Irregularities (헤르쯔 접촉스프링과 레일 요철을 고려한 차량-교량 동적상호작용 비선형 해석)

  • Kang, Young-Jong;Neuyen, Van-Ban;Kim, Jung-Hun;Kang, Yoon-Suk
    • Proceedings of the KSR Conference
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    • 2010.06a
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    • pp.1478-1485
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    • 2010
  • In this paper, the nonlinear dynamic response of Vehicle-Bridge interaction with the coupled equations of motion including nonlinear Hertzian contact is presented. The moving train model is chosen to have 10 degrees of freedom (DOF). The bridge is modeled as 2D Euler-Bernoulli beam element with 4 DOF for each element, two for rotations and another two for translations. The nonlinear Hertzian contact is used to simulate the interaction between vehicle and bridge. Base on the relationship of wheel displacement of the vehicle and the vertical displacement of the bridge in Hertzian contact, the coupled equations of motion of the whole system is derived. The convenient formulation was encoded into a computer program. The contact forces, contact area and stress of the rail surface were also computed. The accuracy and efficiency of the proposed program are verified and compared with exact analytical solution and other previous studies. Various numerical examples and parametric studies have demonstrated the versatility and applicability of the proposed program.

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Development of a Nonlinear Near-Wall Model for Turbulent Flow and Heat Transfer (난류유동 및 대류열전달에 대한 비선형 난류모형의 개발)

  • Park, Tae-Seon;Seong, Hyeong-Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.11
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    • pp.1569-1580
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    • 2001
  • A new nonlinear near-wall turbulence model is developed to predict turbulent flow and heat transfer in strongly nonequilibrium flows. The k-$\varepsilon$-f$\sub$${\mu}$/, model of Park and Sung$\^$(1)/ is extended to a nonlinear formulation. The stress-strain relationship is the thrid-order in the mean velocity gradients. The strain dependent coefficients are obatined from the realizability constraints and the singular behavior at large strains. An improved explicit heat flux model is proposed with the aid of Cayley-Hamilton theorem. This new model includes the quadratic effects of flow deformations. The near-wall asymptotic behavior is incorporated by modifying the f$\sub$λ/ function. The model performance is shown to be satisfactory.

SYNTHESIS OF DISCRETE TIME FLIGHT CONTROL SYSTEM USING NONLINEAR MODEL MATCHING

  • Aoi, Kazunari;Osa, Yasuhiro;Uchikado, Shigeru
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.460-460
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    • 2000
  • Until now various model matching systems have been proposed for linear system, but very little has been done for nonlinear system In this paper, a design method of discrete time flight control system using nonlinear model matching is proposed. This method is based on Hirschorn's algorithm and facilitates easy determination of the control law using the relationship, between the output and the input, which is obtained by the time shift of the output. Also as a result, this method is the extension of the linear model matching control system proposed by Wolovich, in which the control law is obtained by left-multiplying the output by the interactor matrix. At the end of paper, the proposed control system is applied to CCV flight control system of an aircraft and the feasibility of the proposed approach is shown by the numerical simulations.

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