• Title/Summary/Keyword: natural frequency of a plate

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A Study on Structural reinforcement suggestions for improvement of Seismic Performance of Masonry Buildings in rural areas (농촌지역의 조적조 건축물의 내진성능 개선을 위한 구조적 보강법 제안에 관한 연구)

  • Lee, Deog-Yong;Kim, Il-Jung
    • Journal of the Korean Institute of Rural Architecture
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    • v.15 no.4
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    • pp.51-58
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    • 2013
  • This study Masonry Buildings in rural areas, due to the lateral load resistance for seismic reinforcement method is proposed. Some of the proposed methods for reinforcement directly through finite element analysis to evaluate the change in frequency. The results for the following: This paper has the object of investigating natural frequencies of opening thick plates on Pasternak foundation by means of finite element method and providing Kinematic design data for mat of building structures. In this paper, vibration analysis of rectangular opening thick plate is done by use of Serendipity finite element with 8 nodes by considering shearing strain of plate. It is shown that natrural frequencies depend on not only Winkler foundation parameter but also shear foundation parameter, opening position.

A Study of Vibration Characteristic for Semiconductor Chip Test Equipment (반도체 칩 검사 장비의 진동 특성 연구)

  • Hong, Sung-Keun;Lee, Chul-Hee;Bak, Jeong-Hyun;Lee, Kwang-Hee
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.11 no.3
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    • pp.182-186
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    • 2012
  • This paper aims to analyze the vibration characteristics of the test equipment that inspects any defects in manufactured semiconductor chips and classifies defective chips. This type of equipment should be robust against any vibrations because such vibrations can cause disruption in the process that requires higher precision. 3D model of the structure of the equipment has been used to configure vibration simulation model. Model analysis have been carried out to analyze which part of the equipment is weak against vibration. To minimize the vibration effect of the equipment, the thickness of the plate consist of the equipment and weights are modified. The results show that thicker plate and higher weight in the equipment can decrease vibration effect.

Modal Analysis of Two Rectangular Plates Coupled with Fluid (유체와 연성된 두 직사각형 평판의 모드 해석)

  • Yoo, Gye-Hyoung;Jeong, Kyeong-Hoon;Lee, Seong-Cheol
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.556-561
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    • 2001
  • In order to investigate the vibration characteristics of fluid-structure interaction problem, we modeled two rectangular identical plates coupled with bounded fluid. The fixed boundary condition along the plate edges and an ideal fluid were assumed. An experimental modal analysis in order to extract the modal parameters of the system was performed. Finite element analysis was performed using ANSYS to verify modal parameters and analytic results were compared with experimental results. As a result, comparison of experiment and FEM showed good agreement and the transverse vibration modes, in-phase and out of-phase, were observed alternately in the fluid-coupled system. The effect of distance between two rectangular plates on the fluid-coupled natural frequency was investigated.

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Free Vibration Analysis of Two Rectangular Plates Coupled with Fluid (유체와 연성된 두 직사각 평판의 고유진동 해석)

  • 유계형;정경훈;이성철
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.04a
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    • pp.752-755
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    • 2001
  • In order to investigate the vibration characteristics of fluid-structure interaction problem, we modeled two rectangular identical plates coupled with bounded fluid. The fixed boundary condition along the plate edges and an ideal fluid are assumed. MSC/NASTRAN was used to perform finite element analysis and analytic solutions were compared with experimental solutions to verify finite element model. As a result, comparison of FEM and experiment show good agreement, and the transverse vibration modes, in-phase and out of-phase, were observed alternately in the fluid-coupled system. The effect of distance between two rectangular plates on the fluid-coupled natural frequency is investigated.

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Meshless Method Based on Wave-type Function for Accurate Eigenvalue Analysis of Arbitrarily Shaped, Clamped Plates (임의 형상 고정단 평판의 고정밀도 고유치 해석을 위한 파동 함수 기반 무요소법)

  • Kang, Sang-wook
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.26 no.5
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    • pp.602-608
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    • 2016
  • The paper proposes a practical meshless method for the free vibration analysis of clamped plates having arbitrary shapes by extending the non-dimensional dynamic influence function (NDIF) method, which was developed by the author in 1999. In the proposed method, the domain and boundary of the plate of interest are discretized using only nodes without elements unlike FEM and the system matrices are obtained by making domain nodes and boundary nodes satisfy the governing differential equation and boundary conditions, respectively. However, since the above system matrices are not square ones, the problem of free vibrations of clamped plates is not reduced to an algebraic eigenvalue problem. An additional theoretical treatment is considered to produce an algebraic eigenvalue problem. It is revealed from case studies that the proposed method is valid and accurate.

Nonlinear damping and forced vibration analysis of laminated composite plates with composite viscoelastic core layer

  • Youzera, Hadj;Ali, Abbache;Meftah, Sid Ahmed;Tounsi, Abdelouahed;Hussain, Muzamal
    • Steel and Composite Structures
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    • v.44 no.1
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    • pp.91-104
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    • 2022
  • The purpose of the present work is to study the parametric nonlinear vibration behavior of three layered symmetric laminated plate. In the analytical formulation; both normal and shear deformations are considered in the core layer by means of the refined higher-order zig-zag theory. Harmonic balance method in conjunction with Galerkin procedure is adopted for simply supported laminate plate, to obtain its natural and damping properties. For these aims, a set of complex amplitude equations governed by complex parameters are written accounting for the geometric nonlinearity and viscoelastic damping factor. The frequency response curves are presented and discussed by varying the material and geometric properties of the core layer.

Hydroelastic Vibration Analysis of Two Circular Plates with Simply Supported Boundary Condition (단순지지된 두 원판의 유체연성 고유진동 해석)

  • 정경훈;이규만;박근배
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11b
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    • pp.603-608
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    • 2001
  • This paper deals with the free vibration of two identical circular plates coupled with a bounded fluid. An analytical method based on the finite Fourier-Bessel series expansion and Rayleigh-Ritz method is suggested. In the theory, it is assumed that the ideal fluid is filled between the two plates and the plates are simply supported along the plate edges. The proposed method is verified by the finite element analysis using commercial software with an excellent accuracy. The effect of the plate boundary conditions on the fluid-coupled natural frequency is investigated.

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A Study on the Natural Frequency of Al Square Plates with a Brass Inclusion using Rule of Mixtures (혼합법칙을 이용한 황동 개재물이 있는 Al 정사각판의 고유진동수 해석)

  • Lee, Youn-Bok;Lee, Se-Hoon;Lee, Young-Shin
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.19 no.4 s.74
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    • pp.399-406
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    • 2006
  • The natural frequencies of Al square plates with a brass inclusion were analyzed by the rule of mixtures. The rule of mixtures is the method to derive natural frequency mutiplying effective inplane wane speed and nondimensional frequency parameters. Numerical models were Al square plates with an inclusion with cantilever type, 2 clamped edge-2 free edge type, 3 clamped edge-1 free edge type and fully clamped edge type. In cantilever type plates, 2 clamped edge-2 free edge type plates and 3 clamped edge-1 free edge plates with an inclusion, good agreement within 10% obtained from rule of mixtures' results and numerical analysis results within inclusion area ratio 1/9. It was found that the natural frequencies of the cantilever type, 2 clamped edge-2 free edge type and 3 clamped edge-1 free edge type plates with an inclusion decrease as the size of inclusion increases when inclusion is located center of plates. And when the density of inclusion is less than the plates, natural frequency of plates with an inclusion increases as the size of inclusion increases.

Structural damage identification using gravitational search algorithm

  • Liu, J.K.;Wei, Z.T.;Lu, Z.R.;Ou, Y.J.
    • Structural Engineering and Mechanics
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    • v.60 no.4
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    • pp.729-747
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    • 2016
  • This study aims to present a novel optimization algorithm known as gravitational search algorithm (GSA) for structural damage detection. An objective function for damage detection is established based on structural vibration data in frequency domain, i.e., natural frequencies and mode shapes. The feasibility and efficiency of the GSA are testified on three different structures, i.e., a beam, a truss and a plate. Results show that the proposed strategy is efficient for determining the locations and the extents of structural damages using the first several modal data of the structure. Multiple damages cases in different types of structures are studied and good identification results can be obtained. The effect of measurement noise on the identification results is investigated.

A Stusy on the Coupled Vibration of Train Wheel and Pail - Dynamic Characteristics of Train Wheel with the Stepped Thickness - (車輪과 鐵路의 連成振動에 관한 硏究)

  • 김광식;박민태
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.1
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    • pp.63-73
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    • 1987
  • This study is a part of the research on the coupled vibration of train wheel with the stepped thickness and rail. The research was conducted for the purpose of examining the dynamic characteristics of train wheel at the running state and preventing the vibrations of the high speed railway. The stress at the boundary surface of web and rim, .sigma.$_{c}$, was analyzed in consideration of the uniform In-plane compressive stress depending on the conditions of rolling and the In-plane compressive stress depending on the rotation of train wheel. Then the equation of transverse vibration of the annular plate with the stepped thickness was analyzed by Rayleigh-Ritz's method. As a result of study, it was known that the rotational speed increase the natural frequency slightly and the acceleration level highly while the reaction force between train wheel and rail decrease the natural frequency linearly and the critical buckling is generated at n=1.