• Title/Summary/Keyword: Classical model

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Bubble Nucleation in Polymer Solutions (고분자 용액에서의 기포 형성)

  • 강성린;김기영;곽호영
    • Polymer(Korea)
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    • v.28 no.1
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    • pp.51-58
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    • 2004
  • The molecular cluster model for the homogeneous bubble nucleation rather than the classical nucleation theory was extended to predict the bubble nucleation events in elastomers(cross-linked polymers), polymers and polymer which are dissolved in the organic solvent. The classical theory assumes the formation of the critical bubble while the molecular cluster model assumes the critical cluster as for the initiation of the bubble nucleation. For the bubble nucleation in elastomers and polymers, the strain energy overcome by a critical bubble was also considered. The calculation results for the number of bubbles nucleated in elastormers and polymer solutions, which are about 10$\^$8/∼10$\^$12/ bubbles/㎤ are in good agreement with observed ones.

Fractional Order Modeling and Control of Twin Rotor Aero Dynamical System using Nelder Mead Optimization

  • Ijaz, Salman;Hamayun, Mirza Tariq;Yan, Lin;Mumtaz, Muhammad Faisal
    • Journal of Electrical Engineering and Technology
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    • v.11 no.6
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    • pp.1863-1871
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    • 2016
  • This paper presents an application of fractional order controller for the control of multi input multi output twin rotor aerodynamic system. Dynamics of the considered system are highly nonlinear and there exists a significant cross-coupling between the horizontal and vertical axes (pitch & yaw). In this paper, a fractional order model of twin rotor aerodynamic system is identified using input output data from nonlinear system. Based upon identified fractional order model, a fractional order PID controller is designed to control the angular position of level bar of twin rotor aerodynamic system. The parameters of controller are tuned using Nelder-Mead optimization and compared with particle swarm optimization techniques. Simulation results on the nonlinear model show a significant improvement in the performance of fractional order PID controller as compared to a classical PID controller.

A Hilbert-Huang Transform Approach Combined with PCA for Predicting a Time Series

  • Park, Min-Jeong
    • The Korean Journal of Applied Statistics
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    • v.24 no.6
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    • pp.995-1006
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    • 2011
  • A time series can be decomposed into simple components with a multiscale method. Empirical mode decomposition(EMD) is a recently invented multiscale method in Huang et al. (1998). It is natural to apply a classical prediction method such a vector autoregressive(AR) model to the obtained simple components instead of the original time series; in addition, a prediction procedure combining a classical prediction model to EMD and Hilbert spectrum is proposed in Kim et al. (2008). In this paper, we suggest to adopt principal component analysis(PCA) to the prediction procedure that enables the efficient selection of input variables among obtained components by EMD. We discuss the utility of adopting PCA in the prediction procedure based on EMD and Hilbert spectrum and analyze the daily worm account data by the proposed PCA adopted prediction method.

Enhanced Classical Tafel Diagram Model for Corrosion of Steel in Chloride Contaminated Concrete and the Experimental Non-Linear Effect of Temperature

  • Hussain, Raja Rizwan
    • International Journal of Concrete Structures and Materials
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    • v.4 no.2
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    • pp.71-75
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    • 2010
  • The chloride ion attack on the passive iron oxide layer of reinforcement steel embedded in concrete under variable temperature environment is influenced by several parameters and some of them still need to be further investigated in more detail. Different school of thoughts exist between past researchers and the data is limited in the high temperature and high chloride concentration range which is necessary with regards to setting boundary conditions for enhancement of tafel diagram model presented in this research. The objective of this paper is to investigate the detrimental coupled effects of chloride and temperature on corrosion of reinforced concrete structures in the high range by incorporating classical Tafel diagram chloride induced corrosion model and laboratory controlled experimental non-linear effect of temperature on corrosion of rebar embedded in concrete.

MODELING AND ANALYSIS OF AN EPIDEMIC MODEL WITH CLASSICAL KERMACK-MCKENDRICK INCIDENCE RATE UNDER TREATMENT

  • Kar, T.K.;Batabyal, Ashim;Agarwal, R.P.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.14 no.1
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    • pp.1-16
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    • 2010
  • An epidemic model with Classical Kermack-Mckendrick incidence rate under a limited resource for treatment is proposed to understand the effect of the capacity for treatment. We have assumed that treatment function is strictly increasing function of infective individuals and becomes constant when the number of infective is very large. Existence and stability of the disease free and endemic equilibrium are investigated, boundedness of the solutions are shown. Even in this simple version of the model, backward bifurcation and multiple epidemic steady states can be observed with some sets of parameter values. Hopf-bifurcation analyses are given and numerical examples are provided to help understanding.

A Goodness-Of-Fit Test for Adaptive Fourier Model in Time Series Data

  • Lee, Hoonja
    • Communications for Statistical Applications and Methods
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    • v.10 no.3
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    • pp.955-969
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    • 2003
  • The classical Fourier analysis, which is the typical frequency domain approach, is used to detect periodic trends that are of the sinusoidal shape in time series data. In this article, using a sequence of periodic step functions, describes an adaptive Fourier series where the patterns may take general periodic shapes that include sinusoidal as a special case. The results, which extend both Fourier analysis and Walsh-Fourier analysis, are applies to investigate the shape of the periodic component. Through the real data, compare the goodness-of-fit of the model using two methods, the adaptive Fourier method which is proposed method in this paper and classical Fourier method.

Geometrically nonlinear analysis of thin-walled open-section composite beams

  • Vo, Thuc Phuong;Lee, Jae-Hong
    • Proceeding of KASS Symposium
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    • 2008.05a
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    • pp.113-118
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    • 2008
  • This paper presents a flexural-torsional analysis of thin-walled open-section composite beams. A general geometrically nonlinear model for thin-walled composite beams and general laminate stacking sequences is given by using systematic variational formulation based on the classical lamination theory. The nonlinear algebraic equations of present theory are linearized and solved by means of an incremental Newton-Raphson method. Based on the analytical model, a displacement-based one-dimensional finite element model is developed to formulate the problem. Numerical results are obtained for thin-walled composite beams under general loadings, addressing the effects of fiber angle, laminate stacking sequence and loading parameters.

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ROBUST CONTROLLER DESIGN FOR THE NUCLEAR REACTOR POWER BY EXTENDED FREQUENCY RESPONSE METHOD

  • Lee, Yoon-Joon;Na, Man-Gyun
    • Nuclear Engineering and Technology
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    • v.38 no.6
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    • pp.551-560
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    • 2006
  • In this study, a controller for a nuclear reactor power is designed. The reactor is modeled using the three dimensional reactor design code MASTER. From the relationship of the input and output of the reactor code, a reactor dynamic model is derived by the system identification method. This model is more realistic than the one based on mathematical theories. With this model, a robust controller is designed by the extended frequency response method. As this method has the same theoretical background as the classical method, all of the existing design techniques of the classical method can be used directly. Furthermore, by introducing the real part of a Laplacian operator into the frequency response, the control design specification can be considered at the initial stage of design. The designed controller is simple, and gives a sufficient robustness with good performance.

A Lattice Model Based on Molecular Clusters for Supercritical Fluids (초임계 유체를 위한 분자 클러스터 기반의 격자모델)

  • Shin, Moon-Sam
    • Proceedings of the KAIS Fall Conference
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    • 2010.05b
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    • pp.961-964
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    • 2010
  • A semi-empirical fluctuation term is presented to improve a classical equation of state (EOS) for volumetric properties in the critical region. The term is based on the two assumptions: (1) The Helmholtz energy is individually divided into classical and long-range density fluctuation contribution (2) All molecules form cluster near the critical region due to long-range density fluctuation. To formulate such molecular cluster, we extended the Veytsman statistics originally developed for the cluster due to hydrogen bonding. The probability function in the statistics is modified to represent the characteristics of long-range density fluctuation vanishing far from critical region. The proposed fluctuation contribution was incorporated into the Sanchez-Lacombe EOS and the combined model with 6 adjustable parameters has been tested against experimental VLE data. The combined model is found to well represent flatten critical isotherm for methane and top of the coexistence curve for the tested components. The prediction results for caloric data are in good agreement with the experimental data.

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Uncertain Programming Model for Chinese Postman Problem with Uncertain Weights

  • Zhang, Bo;Peng, Jin
    • Industrial Engineering and Management Systems
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    • v.11 no.1
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    • pp.18-25
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    • 2012
  • IChinese postman problem is one of the classical combinatorial optimization problems with many applications. However, in application, some uncertain factors are frequently encountered. This paper employs uncertain programming to deal with Chinese postman problem with uncertain weight Within the framework of uncertainty theory, the concepts of expected shortest route, ${\alpha}$-shortest route, and distribution shortest route are proposed. After that, expected shortest model, and ${\alpha}$-shortest model are constructed. Taking advantage of properties of uncertainty theory, these models can be transf-ormed into their corresponding deterministic forms, which can be solved by classical algorithm..