• Title/Summary/Keyword: coupled problem

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Eigenvalue problem petaining to the rigorous three-dimensional vector coupled-wave analysis of diffraction from surface-relief gratings (표면양각회절격자에 대한 엄밀한 3차원벡터 결합파해석의 고유값문제)

  • 조두진
    • Korean Journal of Optics and Photonics
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    • v.5 no.4
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    • pp.439-444
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    • 1994
  • When diffraction by arbitrary two-dimensional surface-relief dielectric gratings is analyzed using the rigorous three-dimensional vector coupled-wave analysis, it is found that the matrix eigenvalue problem pertaining to the analysis can always be simplified to that for a matrix which has the dimension of a quarter of the original, so that computing time and memory requirements for computer may be greatly reduced. However this kind of simplification can not be obtained in the case of volume diffraction gratings. tings.

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Heat transfer analysis of steel plate by moving coil in induction heating process (이동하는 유도가열 코일에 의한 강판의 열 유동 해석)

  • Yun, Jin-O;Yang, Yeong-Su;Gang, Dae-Hyeon
    • Proceedings of the KWS Conference
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    • 2005.11a
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    • pp.126-128
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    • 2005
  • This paper presents a 3-D finite element analysis of a magneto-thermal coupled problem with moving conductor. In the magnetic and thermal analyses, temperature-dependent magnetic and thermal material properties were considered. Transient finite element method for analysis of moving conductor needs many number of elements and much time to make calculation. Therefore, in this paper, finite element formulation derived from quasi-state is adopted. Finite element results were compared with the experimental results. The results demonstrate that this approach is suitable to solve the magneto-thermal coupled problem.

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Visualization of Sound Field of Plate-Cavity Coupled System by Experimental Method (실험적 방법에 의한 평판-공동 연성계의 음장 가시화)

  • 김시문;김양한
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1997.04a
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    • pp.662-668
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    • 1997
  • Since the structural impedance is much greater than that of medium in the most cases, we often assume that the structure is rigid and that the structural vibration is independent of medium, i.e. we usually calculate the vibration of the structure first, and then obtain the radiation sound from it. This assumption is no longer satisfied when the structural stiffness is small or the fluid impedance is comparable to it. This situation often happens in underwater acoustics. Although many researchers have studied about structural-fluid coupling, we have difficulties in solving the problem analytically. Therefore the numerical method using powerful computation leads us to obtain the various coupling problem. To understand the physical coupling phenomena, visualization of sound field by a geometrically simple system(plate-cavity coupled system) is performed experimentally. Acoustic holographic method is used to estimate sound field.

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A Study on Fluid-Structure Interaction of a Hydrostatic Thrust Bearing (정압 스러스트 베어링의 유체-구조물 사이의 상호작용에 관한 연구)

  • Kim, Byung-Tak
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.5 no.3
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    • pp.92-98
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    • 2006
  • In this study, the behavior characteristics of a hydrostatic thrust bearing used in hydraulic equipment was analyzed using a commercial finite element program, ADINA. The solid domain was modeled with the fluid domain simultaneously to solve the fully coupled problem, because this is a problem where a fully coupled analysis is needed in order to model the fluid-structure interaction(FSI). The results such as bearing deformation, stress, film thickness and lifting bearing force were obtained through FSI analysis, and then they were compared with the results calculated from the classical method, a single step sequential analysis. It was found that the result difference between two analyses was increased according to the injection pressure. Therefore, in case of high pressure loading, it is desirable to conduct the FSI analysis to examine the deformation characteristics of a hydrostatic slipper bearing.

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Optimal Tuning of Bi-axial Servomechanisms for High-Precision Motion Control (고정밀 운동제어를 위한 2축 서보메커니즘의 최적튜닝)

  • Sung, Chul-Mo;Chung, Sung-Chong
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.17 no.5
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    • pp.44-51
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    • 2008
  • In this paper, the optimal tuning of a cross-coupled controller linked with the feedforward controller is studied to reduce contouring and tracking errors of a bi-axial servomechanisms by using the previously developed integrated tuning method. The CCC system for an arbitrary curve, which is combined with the feedforward controller, is formulated by a state-space based on a series of linear motion trajectories. An optimal tuning problem is formulated as a nonlinear constrained optimization problem including relevant controller parameters of the servo. To verify the effectiveness of the proposed optimal tuning procedure, linear and circular motion experiments are performed on the xy-table. Experimental results confirm that both tracking and contouring errors are significantly reduced by applying the proposed control and tuning system.

Exact dynamic stiffness matrix for a thin-walled beam-column of doubly asymmetric cross-section

  • Shirmohammadzade, A.;Rafezy, B.;Howson, W.P.
    • Structural Engineering and Mechanics
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    • v.38 no.2
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    • pp.195-210
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    • 2011
  • Bernoulli-Euler beam theory is used to develop an exact dynamic stiffness matrix for the flexural-torsional coupled motion of a three-dimensional, axially loaded, thin-walled beam of doubly asymmetric cross-section. This is achieved through solution of the differential equations governing the motion of the beam including warping stiffness. The uniform distribution of mass in the member is also accounted for exactly, thus necessitating the solution of a transcendental eigenvalue problem. This is accomplished using the Wittrick-Williams algorithm. Finally, examples are given to confirm the accuracy of the theory presented, together with an assessment of the effects of axial load and loading eccentricity.

Application of Coupled Reactor Kinetics Method to a CANDU Reactor Kinetics Problem.

  • Kim, Hyun-Dae-;Yeom, Choong-Sub;Park, Kyung-Seok-
    • Proceedings of the Korea Society for Energy Engineering kosee Conference
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    • 1994.11a
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    • pp.141-145
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    • 1994
  • A computer code for solving the 3-D time-dependent multigroup neutron diffusion equation by a coupled reactor kinetics method recently developed has been developed and for evaluating its applicability in CANDU transient analysis applied to a 3-D kinetics benchmark problem which reveals non-uniform loss of coolant accident followed by an asymmetric insertion of shutdown devices. The performance of the method and code has been compared with the CANDU design code, CERBERUS, employing a finite difference improved quasistatic method.

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Photothermoelastic interactions under Moore-Gibson-Thompson thermoelasticity

  • Kumar, Rajneesh;Sharma, Nidhi;Chopra, Supriya
    • Coupled systems mechanics
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    • v.11 no.5
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    • pp.459-483
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    • 2022
  • In the present work, a new photothermoelastic model based on Moore-Gibson-Thompson theory has been constructed. The governing equationsfor orthotropic photothermoelastic plate are simplified for two-dimension model. Laplace and Fourier transforms are employed after converting the system of equations into dimensionless form. The problem is examined due to various specified sources. Moving normal force, ramp type thermal source and carrier density periodic loading are taken to explore the application of the assumed model. Various field quantities like displacements, stresses, temperature distribution and carrier density distribution are obtained in the transformed domain. The problem is validated by numerical computation for a given material and numerical obtained results are depicted in form of graphs to show the impact of varioustheories of thermoelasticity along with impact of moving velocity, ramp type and periodic loading parameters. Some special cases are also explored. The results obtained in this paper can be used to design various semiconductor elements during the coupled thermal, plasma and elastic wave and otherfieldsin thematerialscience, physical engineering.

High concentration ratio approximation of linear effective properties of materials with cubic inclusions

  • Mejak, George
    • Coupled systems mechanics
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    • v.7 no.1
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    • pp.61-77
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    • 2018
  • This paper establish a high concentration ratio approximation of linear elastic properties of materials with periodic microstructure with cubic inclusions. The approximation is derived using first few terms of power series expansion of the solution of the equivalent eigenstrain problem with a homogeneous eigenstrain approximation. Viability of the approximation at high concentration ratios is proved by comparison with a numerical solution of the homogenization problem. To this end some theoretical result of symmetry properties of the homogenization problem are given. Using these results efficient numerical computation on a reduced computational domain is presented.

A MULTIGRID METHOD FOR AN OPTIMAL CONTROL PROBLEM OF A DIFFUSION-CONVECTION EQUATION

  • Baek, Hun-Ki;Kim, Sang-Dong;Lee, Hyung-Chun
    • Journal of the Korean Mathematical Society
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    • v.47 no.1
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    • pp.83-100
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    • 2010
  • In this article, an optimal control problem associated with convection-diffusion equation is considered. Using Lagrange multiplier, the optimality system is obtained. The derived optimal system becomes coupled, non-symmetric partial differential equations. For discretizations and implementations, the finite element multigrid V-cycle is employed. The convergence analysis of finite element multigrid methods for the derived optimal system is shown. Some numerical simulations are performed.