• Title/Summary/Keyword: Mathematical Modelling

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Development of a Prediction Model for Formwork Pressure Exerted by Self-Compacting Concrete (자기충전 콘크리트의 거푸집 측압 예측 모델 개발)

  • Kwon, Seung-Hee
    • Proceedings of the Korea Concrete Institute Conference
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    • 2008.04a
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    • pp.453-456
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    • 2008
  • This study is underway to develop a prediction model for formwork pressure exerted by self-compacting concrete(SCC). Three major mechanisms related to formwork evolution over time were found, and mathematical modelling of each mechanism was made. A calculation method for real formwork pressure by using the mathematical formulae was also established. To verify predictive capability of the prediction model, a parametric study on parameters used in the model was performed. It was confirmed that the proposed model include the essential parameters that can simulate the real formwork pressure evolution over time.

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A Study on Anti-Sway of Crane using Neural Network Predictive PID Controller (Anti-Sway에 관한 연구)

  • 손동섭;이진우;민정탁;이권순
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2002.03a
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    • pp.219-227
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    • 2002
  • In this paper, we designed neural network predictive PID controller to control sway happened in transfer of trolley for automatic travel control system. We include dynamic character of nonlinear system, and mathematical expression veny simple used neural network. When various establishment location and surrounding disturbance were approved based on mathematical modelling of crane, controller designed to become effective control location error and vibration angle of two control variables that simultaneously can predictive control. Neural network predictive PID controller produced parameter of PID controller using neural network self-tuner. Neural network self-tuner's input used crane's output and neural network predictive output. Neural network self-tuner using error back propagation algorithm. We analyzed control performance comparison through computer simulation when applied disturbance about sway of location and angle in transfer of crane. The results show that the proposed neural network predictive PID controller has better performances than general PID controller, neural network PID controller.

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Mathematical Modelling of Love and its Nonlinear Analysis (사랑의 수학적 모델링과 거동 해석)

  • Kim, Soon-Whan;Shon, Young-Woo;Bae, Young-Chul
    • The Journal of the Korea institute of electronic communication sciences
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    • v.9 no.11
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    • pp.1297-1304
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    • 2014
  • Love which is one of the emotional of mankind, has been studied in sociology and psychology as a matter of grate concern. In this paper We represent romantic behaviors in the love equation of Romeo and Juliet as time series and phase portraits. Also we analyze the behavior's relation by using time series and phase portraits when external force applied as the third person between Romeo and Juliet.

Dynamics of a rotating beam with flexible root and flexible hub

  • Al-Qaisia, A.A.
    • Structural Engineering and Mechanics
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    • v.30 no.4
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    • pp.427-444
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    • 2008
  • A mathematical model for the nonlinear dynamics of a rotating beam with flexible root attached to a rotating hub with elastic foundation is developed. The model is developed based on the large planar and flexural deformation theory and the potential energy method to account for axial shortening due to bending deformation. In addition the exact nonlinear curvature is used in the system potential energy. The Lagrangian dynamics and the assumed mode method is used to derive the nonlinear coupled equations of motion hub rotation, beam tip deflection and hub horizontal and vertical displacements. The derived nonlinear model is simulated numerically and the results are presented and discussed for the effect of root flexibility, hub stiffness, torque type, torque period and excitation frequency and amplitude on the dynamic behavior of the rotating beam-hub and on its stability.

Mathematical Modelling of $SF_6$ Puffer Circuit Breakers I : High Current Region ($SF_6$ 파퍼차단기의 수학적 모델링 I : 대전류 영역)

  • Park, K.Y.;Park, J.H.;Shin, Y.J.
    • Proceedings of the KIEE Conference
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    • 1993.07b
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    • pp.640-644
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    • 1993
  • A mathematical arc model based on the integral method has been developed to study the arc behaviour of $SF_6$ Puffer circuit breakers during high current period. The interaction between the compression chamber and the arc interrupter plays a critical role in determining the arc behaviour. Computations have been carried out for the puffer circuit breaker of Noeske et al.[1]. The aerodynamic behaviour and electrical characteristics of the puffer circuit breaker have been investigated. In addition, the pressure rise in the compression chamber and arc voltage have been computed and the results compared with the available experimental results of Noeske et al.[1]. Special attention has been paid to the presence of the shock.

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Mathematical Modelling of a Double-sided Linear Induction Motor and Derivation of Equvalent Circuit (양측식 선형 유도 전동기의 수학적 모델링과 등가 회로 유도)

  • Hong, E.P.;Eyou, H.G.;Yoo, J.Y.;Park, G.T.
    • Proceedings of the KIEE Conference
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    • 1995.07a
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    • pp.337-339
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    • 1995
  • A Linear Induction Machine(LIM) is the motor which is developed from an rotary induction machine. Usually, the electromagnetic field of an LIM is analyzed by Maxwell's equations. The structure of an LIM is different from a conventional rotary machine, an LIM has some particular characteristics such as the end effects. Hence, the mathematical analysis of an LIM is very complicated and the implementation of the equivalent model is difficult. In this paper, the dynamic equations and the equivalent model of a Double-sided short primary LIM(DLIM) is obtained by the winding function and a d-q theory. The validity of the proposed methodology is verified by numerical analysis.

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Integrated Model for Assessment of Risks in Rail Tracks under Various Operating Conditions

  • G. Chattopadhyay;V. Reddy;Larsson, P-O
    • International Journal of Reliability and Applications
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    • v.4 no.4
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    • pp.183-190
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    • 2003
  • Rail breaks and derailments can cause a huge loss to rail players due to loss of service, revenue, property or even life. Maintenance has huge impact on reliability and safety of railroads. It is important to identify factors behind rail degradation and their risks associated with rail breaks and derailments. Development of mathematical models is essential for prediction and prevention of risks due to rail and wheel set damages, rail breaks and derailments. This paper addresses identification of hazard modes, estimation of probability of those hazards under operating, curve and environmental condition, probability of detection of potential hazards before happening and severity of those hazards for informed strategic decisions. Emphasis is put on optimal maintenance and operational decisions. Real life data is used for illustration.

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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.

STABILIZED-PENALIZED COLLOCATED FINITE VOLUME SCHEME FOR INCOMPRESSIBLE BIOFLUID FLOWS

  • Kechkar, Nasserdine;Louaar, Mohammed
    • Journal of the Korean Mathematical Society
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    • v.59 no.3
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    • pp.519-548
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    • 2022
  • In this paper, a stabilized-penalized collocated finite volume (SPCFV) scheme is developed and studied for the stationary generalized Navier-Stokes equations with mixed Dirichlet-traction boundary conditions modelling an incompressible biological fluid flow. This method is based on the lowest order approximation (piecewise constants) for both velocity and pressure unknowns. The stabilization-penalization is performed by adding discrete pressure terms to the approximate formulation. These simultaneously involve discrete jump pressures through the interior volume-boundaries and discrete pressures of volumes on the domain boundary. Stability, existence and uniqueness of discrete solutions are established. Moreover, a convergence analysis of the nonlinear solver is also provided. Numerical results from model tests are performed to demonstrate the stability, optimal convergence in the usual L2 and discrete H1 norms as well as robustness of the proposed scheme with respect to the choice of the given traction vector.

A NEW MODELLING OF TIMELIKE Q-HELICES

  • Yasin Unluturk ;Cumali Ekici;Dogan Unal
    • Honam Mathematical Journal
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    • v.45 no.2
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    • pp.231-247
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    • 2023
  • In this study, we mean that timelike q-helices are curves whose q-frame fields make a constant angle with a non-zero fixed axis. We present the necessary and sufficient conditions for timelike curves via the q-frame to be q-helices in Lorentz-Minkowski 3-space. Then we find some results of the relations between q-helices and Darboux q-helices. Furthermore, we portray Darboux q-helices as special curves whose Darboux vector makes a constant angle with a non-zero fixed axis by choosing the curve as one of the types of q-helices, and also the general case.