• Title/Summary/Keyword: plate equation

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Analysis of dielectric-filled-parallel-plate waveguide with finite number of periodic slots as a leaky wave antenna : E-polarization (유전체로 채워진 유한한 주기적인 슬롯을 갖는 평행평판 도파관 누설파 안테나의 해석 : E-편파)

  • 이창원;이종익;윤리호;조영기
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.32A no.12
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    • pp.48-54
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    • 1995
  • Dielectrically filled parallel-plate waveguide with finite number of periodic slots in its upper plate as a leaky wave antenna is analysed for E-polarization case. The integro-differential equation whose unknown is the slot equivalent magnetic current over the slot is formulated and solved by use of Galerkin's method. From knowledge of the equivalent magnetic current, the propagation constant and radiation pattern for the finite periodic structure are determined and compared with the results of the infinite case. Good correspondence between them is observed.

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Elastic Buckling of Transversely Isotropic Plate with Variable Width (폭이 변하는 Transversely Isotropic 판의 탄성좌굴)

  • Yoon, S.J.;Jung, J.H.
    • Composites Research
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    • v.15 no.5
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    • pp.35-43
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    • 2002
  • Presented in this paper are the results of an analytical investigation pertaining to the elastic buckling behavior of transversely isotropic plate with variable width subjected to unequal uniaxial compression forces at the ends and in-plane shear forces at the sides. The existing analytical solution developed for the isotropic plates is extended so that the transversely isotropic material properties can be taken into account in the plate buckling analyses. For the derivation of buckling equation the power series solution is employed. Graphical forms of results for finding the buckling strength of tapered plates are presented. In addition, the finite element analysis is also conducted. The results are compared and discussed.

Active control of sound fields from vibrating plates using piezoelectric and viscoelastic material (압전재료와 점탄성재료를 이용한 평판진동 음장의 능동제어)

  • 강영규;김재환;최승복
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.311-315
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    • 2002
  • The coupled finite/boundary element method is used in numerical analysis for acoustic radiation from the vibration of rectangular composite plate which is simply supported. This analysis is validated using the Wallace equation for an isotropic plate. Active control of sound fields has been carried out using 3 pairs of piezoelectric sensor/actuator and a pair of viscoelastic material by passive constrained layer damping treatment. The results show that the optimal placement of piezoelectric sensor/actuator and VE patch is required to control the sound fields from a vibrating composite plate.

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Strip Shape Analysis and Curvature Prediction of Front End Downward Bending in Plate Rolling by Finite Element Method (후판 압연중 발생하는 판의 하향벤딩시 선단부 판 형상의 고찰 및 곡률예측)

  • 이중형;황상무
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1997.10a
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    • pp.110-114
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    • 1997
  • The major object in this report is the curvature prediction of front end downward bending in plate rolling. Because of relations front end shape and curvature in plate, many simulations were carried out to obtain empirical model. Simulation conditions, for example the position and the size of bottom stripper or roller table etc., were limited to the POSCO conditions. Though the result in this report can be applied to the special case, the tendency of this result is similar to the many cases. So the empirical model equation can be improved or expanded to many simulation conditions.

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Control of flow-induced noise from a circular cylinder using a splitter plate (분할판을 이용한 원형실린더 유동소음의 제어)

  • 유동현;최해천;최명렬;강신형
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1997.04a
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    • pp.636-642
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    • 1997
  • Laminar vortex shedding behind a circular cylinder with and without splitter plates attached to the circular cylinder at low Reynolds numbers are simulated by solving the unsteady incompressible Navier-Strokes equations. The Strouhal number, lift and drag rapidly change with the splitter plate. Far-field noise from the vortex shedding behind the cylinder is computed using the Lighthill acoustic analogy and the Curle's solution for the Lighthill equation. The acoustic source functions are obtained from the computed near-field velocity and pressure. Numerical results show that the volume quadrupole noise is small at low Mach numbers, compared with the surface dipole noise. Also the amplitude and frequency of the acoustic density fluctuations are varied with the length of splitter plates. The scattering effects at the edge of a splitter plate are considered by using the half-plane Green's function.

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Forced Convection Heat Transfer in a Plate Fin With Transient Heat Conduction (과도열전도를 갖는 평판핀에서의 강제대류 열전달)

  • 조진호;이상균
    • Journal of the korean Society of Automotive Engineers
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    • v.9 no.4
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    • pp.69-76
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    • 1987
  • A conjugate conduction-convection analysis has been made for a plate fin which exchanges heat with its fluid environment by forced convection. The analysis is based on a one- dimensional model for the plate fin whereby the transient heat conduction equation for the fin is solved simultaneously with the conservation equations for mass, momentum, and energy in the fluid boundary layer adjacent to the fin. The forced convection heat transfer coefficient is not specified in advance but is one the results of the numerical solutions. Numerical results of the overall heat transfer rate, the local heat transfer coefficient, the local heat flux, the fin efficiency and the fin surface temperature distribution for Pr=0.7 are presented for a wide range of operating conditions.

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Fuzzy control for geometrically nonlinear vibration of piezoelectric flexible plates

  • Xu, Yalan;Chen, Jianjun
    • Structural Engineering and Mechanics
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    • v.43 no.2
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    • pp.163-177
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    • 2012
  • This paper presents a LMI(linear matrix inequality)-based fuzzy approach of modeling and active vibration control of geometrically nonlinear flexible plates with piezoelectric materials as actuators and sensors. The large-amplitude vibration characteristics and dynamic partial differential equation of a piezoelectric flexible rectangular thin plate structure are obtained by using generalized Fourier series and numerical integral. Takagi-Sugeno (T-S) fuzzy model is employed to approximate the nonlinear structural system, which combines the fuzzy inference rule with the local linear state space model. A robust fuzzy dynamic output feedback control law based on the T-S fuzzy model is designed by the parallel distributed compensation (PDC) technique, and stability analysis and disturbance rejection problems are guaranteed by LMI method. The simulation result shows that the fuzzy dynamic output feedback controller based on a two-rule T-S fuzzy model performs well, and the vibration of plate structure with geometrical nonlinearity is suppressed, which is less complex in computation and can be practically implemented.

Numerical procedure for the vibration analysis of arbitrarily constrained stiffened panels with openings

  • Cho, Dae Seung;Vladimir, Nikola;Choi, Tae Muk
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.6 no.4
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    • pp.763-774
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    • 2014
  • A simple and efficient vibration analysis procedure for stiffened panels with openings and arbitrary boundary conditions based on the assumed mode method is presented. Natural frequencies and modes are determined by solving an eigenvalue problem of a multi-degree-of-freedom system matrix equation derived by using Lagrange's equations of motion, where Mindlin theory is applied for plate and Timoshenko beam theory for stiffeners. The effect of stiffeners on vibration response is taken into account by adding their strain and kinetic energies to the corresponding plate energies whereas the strain and kinetic energies of openings are subtracted from the plate energies. Different stiffened panels with various opening shapes and dispositions for several combinations of boundary conditions are analyzed and the results show good agreement with those obtained by the finite element analysis. Hence, the proposed procedure is especially appropriate for use in the preliminary design stage of stiffened panels with openings.

Heat and Mass Transfer in Highly Porous Media (고 다공성 물질에서 열 및 물질전달)

  • 이금배
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.3
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    • pp.685-693
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    • 1990
  • The heat transfer coefficients were calculated numerically to see the effects of radiation around the porous medium put on the flat plate at a distance from the leading edge of flat plate for the two-dimensional laminar flows. To verify the analytical model developed and invoke the heat/mass transfer analogy, an experiment was carried out using naphthalene sublimation technique. From the effects of the wake, Sherwood number is maximum around the region where the porous medium is attached. The theoretical results correspond well with the experimental results at small Darcy number. Permeability of ceramic blocks used for experiment was also measured and the Forchheimer equation is applicable in our measurement range.

A Study on the Design Formula about Strengthening in Flexure with Steel Plate in Reinforced Concrete Beams (철근콘크리트 보의 강판 휨보강 설계식에 관한 연구)

  • Kim, Jong-Ok;Jang, Hwa-Kyun;Won, Young-Sul;Joo, Kyung-Jai
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.4 no.4
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    • pp.121-128
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    • 2000
  • When RC beams are strengthening in flexure with steel plate, they have initial strain due to dead load. Strain of steel used in strengthening member is zero. The effect of strengthening in flexure at member changes in accordance with the quantity of initial strain. But in most cases, Quantity of reinforcement is determined without regard to the difference of initial strain when there are calculated the strengthening in flexure at beams. Such method is possible to suggest inadequate quantity of reinforcement. Thus, the object of the study is to suggest practical design equation and reinforcement proposal using comparison and analysis reinforcement efficiency about fexural strength in case with regard and without regard to the initial strain when Re beams are strengthening in flexure with steel plate.

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