• Title/Summary/Keyword: Second-Order Modelling

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A study on the performance improvement of hydraulic position control system using series-feedback compensator (직렬 피이드백 보상기를 이용한 위치제어 유압시스템의 성능향상에 관한 연구)

  • 이교일;이종극
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.332-337
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    • 1988
  • A digital series-feedback compensator algorithm for tracking time-varying signal is presented. The series-feedback compensator is composed of one closed loop pole / zero cancellation compensator and one desired-input generator. This algorithm is applied to nonlinear hydraulic position control system. The hydraulic servo system is modelled as a second order linear model and cancellation compensator is modelled from it. The desired input generator is inserted to reduce modelling error. Digital computer simulation output using this control method is present and the usefulness of this control algorithm for nonlinear hydraulic system is verified.

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MATHEMATICAL MODELLING FOR THE AXIALLY MOVING MEMBRANE WITH INTERNAL TIME DELAY

  • Kim, Daewook
    • East Asian mathematical journal
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    • v.37 no.1
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    • pp.141-147
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    • 2021
  • In [1], we studied the PDE system with time-varing delay. Time delay occurs due to loosening in a high-speed moving axially directed membrane (string, belt, or plate) at production. Our purpose in this work derives a mathematical model with internal time delay. First, we consider the physical phenomenon of axially moving membrane with respect to kinetic energy, potential energy and work done. By the energy conservation law in physics, we get the second order nonlinear PDE system with internal time delay.

A Theoretical Study on Land Cover Classification - Focused on Natural Environment Management - (토지피복분류에 관한 이론적 연구 - 자연환경관리를 중심으로 -)

  • Jeon, Seong-Woo;Kim, Kwi-Gon;Park, Chong-Hwa;Lee, Dong-Kun
    • Journal of the Korean Society of Environmental Restoration Technology
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    • v.2 no.1
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    • pp.29-37
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    • 1999
  • Land cover classification is an essential basic information in natural environment management; however, land cover classification studies in Korea have not yet been proceeded to a sufficient level. At the present, only a limited number of the precedent studies that only cover definite city area has been conducted. Furthermore, there is almost no research conducted on the land cover classification schemes that could accurately classify the Korea's land cover conditions. This study primarily focuses on the land cover classification scheme which carries the most urgent priority in order to classify and to map out the Korean land cover conditions. In order to develop the most suitable land cover classification scheme, many foreign land cover classification cases and projects that are being carried out were reviewed in depth. The land cover classification scheme this study proposes comprises 3 levels : The first level consists of 7 different classes; the second level consists of 22 different classes; and the third level is made up of 50 classes. The land cover classification map will serve many important roles in natural environment management, such as the conjecture of natural habitats and estimation of oxygen production or carbon dioxide absorption capability of a forest. In water pollution modelling, the land cover classification data can be used to estimate and locate non-point sources of water pollution. If applied to a watershed, modelling it will allow to estimate the total amount of pollution from non-point sources of pollution in the water shed. The land cover classification data will also be good as a barometer data that determines defusion of air pollutants in air pollution modelling.

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Numerical modelling for evaluating the TMD performance in an industrial chimney

  • Iban, A.L.;Brownjohn, J.M.W.;Belver, A.V.;Lopez-Reyes, P.M.;Koo, K.
    • Wind and Structures
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    • v.17 no.3
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    • pp.263-274
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    • 2013
  • A numerical technique for fluid-structure interaction, which is based on the finite element method (FEM) and computational fluid dynamics (CFD), was developed for application to an industrial chimney equipped with a pendulum tuned mass damper (TMD). In order to solve the structural problem, a one-dimensional beam model (Navier-Bernoulli) was considered and, for the dynamical problem, the standard second-order Newmark method was used. Navier-Stokes equations for incompressible flow are solved in several horizontal planes to determine the pressure in the boundary of the corresponding cross-section of the chimney. Forces per unit length were obtained by integrating the pressure and are introduced in the structure using standard FEM interpolation techniques. For the fluid problem, a fractional step scheme based on a second order pressure splitting has been used. In each fluid plane, the displacements have been taken into account considering an Arbitrary Lagrangian Eulerian approach. The stabilization of convection and diffusion terms is achieved by means of quasi-static orthogonal subscales. For each period of time, the fluid problem was solved and the geometry of the mesh of each fluid plane is updated according to the structure displacements. Using this technique, along-wind and across-wind effects have been properly explained. The method was applied to an industrial chimney in three scenarios (with or without TMD and for different damping values) and for two wind speeds, showing different responses.

A REDUCED-ORDER MODELLING FOR ROSENAU-RLW EQUATION WITH B-SPLINE GALERKIN FINITE ELEMENT METHOD

  • Jia, Li-Jiao;Piao, Guang-Ri
    • Journal of the Chungcheong Mathematical Society
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    • v.32 no.3
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    • pp.261-280
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    • 2019
  • We apply a reduced-order method based on B-spline Galerkin finite elements formulation to Rosenau-RLW equation for the first time and explain their process in detail. The ensemble of snapshots is very large generally, and it is difficult to apply POD to the ensemble of snapshots directly. Hence, we try to pick up important snapshots among the whole data. In this paper, we represent three different reduced-order schemes. First, the classical POD technique is examined. Second, (equally sampled snapshots) are exploited for POD technique. Finally, afterward sampling snapshots by CVT, for those snapshots, POD technique is implemented again.

Parametric Modelling of Uncoupled System (언커플시스템의 파라메트릭 모델링)

  • Yoon, Moon-Chul;Kim, Jong-Do;Kim, Kwang-Heui
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.5 no.3
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    • pp.36-42
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    • 2006
  • The analytical realization of uncoupled system was introduced in this study using times series and its spectrum analysis. The ARMAX spectra of time series methods were compared with the conventional FFT spectrum. Also, the response of second order system uncoupled was solved using the Runge-Kutta Gill method. In this numerical analysis, the displacement, velocity and acceleration were calculated. The displacement response among them was used for the power spectrum analysis. The ARMAX algorithm in time series was proved to be appropriate for the mode estimation and spectrum analysis. Using the separate response of first and second mode, each modes were calculated separately and the response of mixed modes was also analyzed for the mode estimation using several time series methods.

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Biosorption of Rhodamine B onto Waste Activated Sludge: Equilibrium and Kinetic Modelling (폐 활성슬러지를 이용한 Rhodamine B의 생체흡착:흡착평혀여 및 흡착속도 모델링)

  • Lee Chang-Han;Ahn Kab-Hwan
    • Journal of Environmental Science International
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    • v.14 no.9
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    • pp.881-888
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    • 2005
  • The biosorption of dye, Rhodamine B(Rh-B), onto waste activated sludge was investigated. The biosorption capacity and contact time were shown as a simulation of dye adsorption equilibrium and kinetics models. We observed that biosorption of Rh-B occurred rapidly less than 4 hr. These experimental data could be better fitted by a pseudo-second-order rate equation than a pseudo-first-order rate equation. The equilibrium dependence between biosorption capacity and initial concentration of Rh-B was estimated and it was found that the equilibrium data of biosorption were fitted by four kinds of model such as Langmuir, Freundlich, Redlich-Peterson, and Koble-Corrigan model. The average percentage errors, $\varepsilon(\%)$, observed between experimental and predicted values by above each model were $21.19\%,\;9.97\%,\;10.10\%\;and\;11.76\%$, respectively, indicating that Freundlich and Redlich-Peterson model could be fitted more accrately than other models.

Comparative studies of density functionals in modelling hydrogen bonding energetics of acrylamide dimers

  • Lin, Yi-De;Wang, Yi-Siang;Chao, Sheng D.
    • Coupled systems mechanics
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    • v.6 no.3
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    • pp.369-376
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    • 2017
  • Intermolecular interaction energies and conformer geometries of the hydrogen bonded acrylamide dimers have been studied by using the second-order Møller-Plesset (MP2) perturbation theory and the density functional theory (DFT) with 17 density functionals. Dunning's correlation consistent basis sets (up to aug-cc-pVTZ) have been used to study the basis set effects. The DFT calculated interaction energies are compared to the reference energy data calculated by the MP2 method and the coupled cluster method at the complete basis set (CCSD(T)/CBS) limit in order to determine the relative performance of the studied density functionals. Overall, dispersion-energy-corrected density functionals outperform uncorrected ones. The ${\omega}B97XD$ density functional is particularly effective in terms of both accuracy and computational cost in estimating the reference energy values using small basis sets and is highly recommended for similar calculations for larger systems.

Relation between total degradation of steel concrete bond and degree of corrosion of RC beams experimental and computational studies

  • Maurel, Olivier;Dekoster, Mickael;Buyle-Bodin, Francois
    • Computers and Concrete
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    • v.2 no.1
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    • pp.1-18
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    • 2005
  • This paper presents a study on the effects of localized steel-concrete bond degradation on the flexural behaviour of RC beams. A finite element analysis is undertaken to complete the experimental analysis. The first part deals with an experimental study on beams where bond was removed by using plastic tube at different locations and for various lengths. The flexural behaviour was studied at global scale (load-deflection) and local scale (moment-curvature). The second part, a numerical study using a simplified special finite element (rust element) modelling the rust layer occurring between reinforcement and concrete with corrosion was conducted in order to find the relation between the degree of corrosion and the degradation of the steel-concrete bond. The computed value of the corrosion degree corresponding to the total degradation of bond has been used in a second time to model the tests, in order to evaluate the influence of the loss of bond, the steel cross section reduction, and the combination of both. The results enable to evaluate the influence of the different corrosion effects on the flexural behaviour, according to the length and the location of the corroded zone.

Numerical Solution of Second Order Linear Partial Differential Equations using Agricultural Systems Application Platform (농업시스템응용플랫폼을 이용한 2계 편미분 방정식의 해석)

  • Lee, SungYong;Kim, Taegon;Suh, Kyo;Han, Yicheol;Lee, Jemyung;Yi, Hojae;Lee, JeongJae
    • Journal of The Korean Society of Agricultural Engineers
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    • v.58 no.1
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    • pp.81-90
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    • 2016
  • The Agricultural Systems Application Platform (ASAP) provides bottom-up modelling and simulation environment for agricultural engineer. The purpose of this study is to expand usability of the ASAP to the second order partial differential equations: elliptic equations, parabolic equations, and hyperbolic equations. The ASAP is a general-purpose simulation tool which express natural phenomenon with capsulized independent components to simplify implementation and maintenance. To use the ASAP in continuous problems, it is necessary to solve partial differential equations. This study shows usage of the ASAP in elliptic problem, parabolic problem, and hyperbolic problem, and solves of static heat problem, heat transfer problem, and wave problem as examples. The example problems are solved with the ASAP and Finite Difference method (FDM) for verification. The ASAP shows identical results to FDM. These applications are useful to simulate the engineering problem including equilibrium, diffusion and wave problem.