• Title/Summary/Keyword: plate motion

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Flow Induced by the Uniform Motion of Top Plate over the Bottom Plate with Vertical Fin (수직 휜을 갖는 아래 평판 위에서 등속 운동을 하는 위 평판에 의한 유동)

  • Park, Jun-Sang
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.7
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    • pp.877-884
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    • 2001
  • A theoretical analysis is conducted on the Stokes flow in a narrow channel. A vertical fin is mounted on the bottom plate and the flow is induced by uniformly sliding top plate. The governing harmonic equation was solved in the transformed ζ-plane, which is obtained by applying conformal mappings to the physical plane. By using well-known transformation technique, closed-form expressions for velocity and skin frictional stress on the top and bottom plates were obtained.

A Study on Characteristic Analysis of C-Plate Cover and Examination of Weak Parts (C-Plate 커버의 구조해석 및 취약부 규명)

  • 김옥구;송준엽;강재훈;박화영
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.373-377
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    • 2003
  • Recently, advanced manufacturing systems with high speed and intelligence have been developed for the betterment of machining ability. In this case, reliability prediction work with motion characteristic evaluation of sliding cover(C-plate, Bellows, etc) has also important role from design procedure to manufacturing and assembly process. Accordingly in this study, H/W test-bed system for reliability evaluation of sliding cover has been developed to obtain proper reference data for design of new model, prevention trouble (failure mode), and improvement of quality and lift cycle extremely for advanced mother machinery.

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Dynamic Characteristics of the Plate with Structural Damages (구조손상을 갖는 평판의 동적특성)

  • Kim, Nam-In;Lee, U-Sik
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.357-362
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    • 2000
  • Though there have been many researches to investigate the relationship between the damage location, damage size and the changes in eigenparameters, there have been few studies on the small-sized damages. Thus, this paper considers the plate with small local damages. The equation of motion for damaged plate is derived in terms of the damage distribution function and then the effects of small damages on the dynamic characteristics of plate are investigated. It is observed that the damage-induced modal coupling and a sufficient number of vibration modes should be considered especially for small damage detections.

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Study on the Development of Noncontact Vibration Exciter for Thin Plates Using Magnetism (자력을 이용한 비접촉식 박판 가진장치 개발에 관한 연구)

  • Hur, Kwan-Do;Son, In-Soo
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.26 no.1
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    • pp.104-109
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    • 2016
  • The noncontact vibration exciter system using the electro-magnet for a thin plate is studied in this paper. Based on the Euler-Bernoulli beam theory, the equation of motion of thin plate is derived. The main purpose of this experiment is to match the input-frequency and response frequency of thin plate. The test equipment is configured to vibrate on both sides of the thin plate using the electro-magnet. Two frequencies(input frequency and response frequency) in our experiments show very good agreement. This study results will contribute to basic investigate of an alternative air-knife system for the steel industry.

A new four-unknown refined theory based on modified couple stress theory for size-dependent bending and vibration analysis of functionally graded micro-plate

  • Amar, Lemya Hanifi Hachemi;Kaci, Abdelhakim;Yeghnem, Redha;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • v.26 no.1
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    • pp.89-102
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    • 2018
  • This work investigates a novel plate formulation and a modified couple stress theory that introduces a variable length scale parameter is presented to discuss the static and dynamic of functionally graded (FG) micro-plates. A new type of third-order shear deformation theory of Reddy that use only 4 unknowns by including undetermined integral variables is proposed in this study. The equations of motion are derived from Hamilton's principle. Analytical solutions are obtained for a simply supported micro-plate. Numerical examples are presented to examine the effect of the length scale parameter on the responses of micro-plates. The obtained results are compared with the previously published results to demonstrate the correctness of the present formulation.

Identification of Damages within a Plate Structure (평판 구조물의 손상규명)

  • Kim, Nam-In;Lee, U-Sik
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.671-675
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    • 2000
  • In this study, an FRF-based structural damage identification method (SDIM) is proposed for plate structures. The present SDIM is derived from the partial differential equation of motion of the damaged plate, in which damage is characterized by damage distribution function. Various factors that might affect the accuracy of the damage identification are investigated. They include the number of modal data used in the analysis and the damage-induced modal coupling. In the present SDIM, an efficient iterative damage self-search method is introduced. The iterative damage search method efficiently reduces the size of problem by searching out and then by removing all damage-free zones at each iteration of damage identification analysis. The feasibility of the present SDIM is studied by some numerically simulated tests.

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Dynamic Characteristic Analysis of Trapezoidal Cantilever Plates Undergoing Translational Acceleration (가속을 받는 사다리꼴 외팔 평판의 동특성 해석)

  • 임홍석;유홍희
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.268-273
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    • 2002
  • A modeling method for the dynamic characteristic analysis of a translationally accelerated trapezoidal cantilever plate is presented in this paper. The equations of motion for the plate are derived and transformed into a dimensionless form. The effects of the inclination angles and the acceleration on the vibration characteristics of the plate are investigated. Incidentally, natural frequency loci veering and associated mode shape variations are observed and discussed

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Numerical solution for nonlinear asymmetric vibrations of a circular plate (원판의 비선형 비대칭진동을 위한 수치해)

  • Lee, Won-K.;B.Samoylenko, Sergey
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.05a
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    • pp.73-80
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    • 2006
  • In order to examine the validity of an asymptotic solution for nonlinear interaction in asymmetric vibration modes of a perfect circular plate, we obtain the numerical solution. The motion of the plate is governed by nonlinear partial differential equation. The initial and boundary value problem is solved by using the finite difference method. The numerical solution is compared with the asymptotic solution. It is found that traveling waves relating clockwise and counterclockwise as well as standing wave are depicted by the numerical solution.

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Free vibration analysis of rotating cantilever plates using the p-version of the finite element method

  • Hamza-Cherif, Sidi Mohammed
    • Structural Engineering and Mechanics
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    • v.22 no.2
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    • pp.151-167
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    • 2006
  • A p-version of the finite element method in conjunction with the modeling dynamic method using the arc-length stretch deformation is considered to determine the bending natural frequencies of a cantilever flexible plate mounted on the periphery of a rotating hub. The plate Fourier p-element is used to set up the linear equations of motion. The transverse displacements are formulated in terms of cubic polynomials functions used generally in FEM plus a variable number of trigonometric shapes functions representing the internals DOF for the plate element. Trigonometric enriched stiffness, mass and centrifugal stiffness matrices are derived using symbolic computation. The convergence properties of the rotating plate Fourier p-element proposed and the results are in good agreement with the work of other investigators. From the results of the computation, the influences of rotating speed, aspect ratio, Poisson's ratio and the hub radius on the natural frequencies are investigated.

Frequency analysis of moderately thick uniform isotropic annular plates by discrete singular convolution method

  • Civalek, Omer;Ersoy, Hakan
    • Structural Engineering and Mechanics
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    • v.29 no.4
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    • pp.411-422
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    • 2008
  • In the present study, free vibration analysis of thick annular plates is analyzed by discrete singular convolution method. The Mindlin plate theory is employed. The material is isotropic, homogeneous and obeys Hook's law. In this paper, discrete singular convolution method is used for discretization of equations of motion. Axisymmetric frequency values are presented illustrating the effect of radius ratio and thickness to radius ratio of the annular plate. The influence of boundary conditions on the frequency characteristics is also discussed. Comparing results with those in the literature validates the present analysis. It is shown that the obtained results are very accurate by this approach.