• Title/Summary/Keyword: plates vibration

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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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Transient Response Analysis of Trapezoidal Corrugated Plates with Stiffeners (보강된 사다리꼴 주름판의 과도 응답 해석)

  • Park, Kyung-Jo;Kim, Young-Wann
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.24 no.10
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    • pp.788-794
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    • 2014
  • In this paper, the transient response analysis of the trapezoidal corrugated plate subjected to the pulse load is investigated by the theoretical method. Three types of pulse loads are considered: stepped, isosceles triangular and right triangular pulse loads. The corrugated plates can be represented as an orthotropic plate. Both the effective extensional and flexural stiffness of this equivalent orthotropic plate are considered in the analysis. The plate is stiffened by concentric stiffeners perpendicular to the corrugation direction. The stiffening effect is represented by the discrete stiffener theory. This theoretical results are validated by those obtained from 3D finite element analysis based on shell elements. Some numerical results are presented to check the effect of the geometric properties.

Natural Frequency of Elastic Supported Building Slab (탄성지지된 복합재료 상판의 고유 진동수)

  • 김덕현;이정호;박정호
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1997.10a
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    • pp.215-222
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    • 1997
  • A method of calculating the natural frequency corresponding to the first mode of vibration of beams and tower structures, with irregular cross-sections and with arbitrary boundary conditions was developed and reported by D. H. Kim in 1974. This method has been developed for two-dimensional problems including the laminated composite plates and was proved to be very effective for the plates with arbitrary boundary conditions and irregular sections. In this paper, the result of application of this method to the subject problem is presented. This problem represents the building slabs with a kind of passive and active control devices. Any method may be used to obtain the deflection influence surfaces needed for this vibration analysis. Finite difference method is used for this purpose, in this paper. The influence of the modulus of the foundation on the natural frequency is thoroughly studied.

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Accrate Vibration Analysis of Rhombic Plates with Various Combinations of Edge Conditions Considering Corner Stress Singularities (모서리 응력 특이도를 고려한 다양한 경계조건의 조합을 갖는 마름모꼴형 평판의 엄밀한 진동 해석)

  • 김주우;한봉구
    • Computational Structural Engineering
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    • v.11 no.4
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    • pp.275-286
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    • 1998
  • 본 논문은 고정, 단순, 또는 자유 연단 조건의 네 가지의 다른 조합을 갖는 마름모꼴형 평판의 자유진동 데이터를 처음으로 제시한 연구이다. 본 논문의 주된 관점은 마름모꼴 형 평판 둔각모서리의 휨응력의 특이도를 엄밀히 고려하여 해석하는 것이다. Ritz 방법을 이용하여 수직진동변위를 두 가지 적합 함수식으로 가정하였다. 힌지와 고정, 자유와 고정, 또한 힌지와 자유인 모서리 응력 특이도의 중대한 영향력이 이해될 수 있도록 충분히 큰 1650 둔각모서리를 갖는 마름모꼴형 평판에 대하여 엄밀한 무차원 진동수와 수직변동변위의 전형적인 등고선을 제시하였다.

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A Simple Method of Vibration Analysis of Special Orthotropic Plate with A Pair of Opposite Edges Simply Supported and The Other Pair of Opposite Edges Free (양단단순-양단자유지지된 특별직교 이방성 적층복합판의 진동해석을 위한 간편법)

  • Kim Duk-Hyun;Kim, Kyeong-Jin;Hong, Chang-Woo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1996.04a
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    • pp.135-142
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    • 1996
  • In this paper, a simple tut accurate method of vibration analysis of structural elements with or without attached mass/masses is presented. The method used has been developed by the senior author since 1974. This method is very effective for the plates with arbitrary boundary conditions and irregular sections. This method is applied to the special orthotropic Plate with two opposite edges simply supported and the other two opposite edges free. Such plate represents the most of the simply supported bridges/decks, including concrete and girders-cross beam systems. Detailed illustration is given for beams and plates for easy understanding. Some laminate orientation for which the special orthotropic equations can be applied are identified.

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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.

A note on buckling and vibration of clamped orthotropic plates under in-plane loads

  • Felix, D.H.;Bambill, D.V.;Rossit, C.A.
    • Structural Engineering and Mechanics
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    • v.39 no.1
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    • pp.115-123
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    • 2011
  • The present work deals with obtaining the critical buckling load and the natural frequencies of clamped, orthotropic, rectangular thin plates subjected to different linear distributed in-plane forces. An analytical solution is proposed. Using the Ritz method, the dependence between in-plane forces and natural frequencies are estimated for various plate sizes, and some results are compared with finite element solutions and where possible, comparison is made with previously published results. Beam functions are used as admissible functions in the Ritz method.

Nonlinear vibration of laminated composite plates subjected to subsonic flow and external loads

  • Norouzi, Hamed;Younesian, Davood
    • Steel and Composite Structures
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    • v.22 no.6
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    • pp.1261-1280
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    • 2016
  • We study chaotic motion in a nonlinear laminated composite plate under subsonic fluid flow and a simultaneous external load in this paper. We derive equations of motion of the plate using the von-$K{\acute{a}}rm{\acute{a}}n^{\prime}s$ hypothesis and the Hamilton's principle. Galerkin's approach is adopted as the solution method. We then conduct a divergence analysis to obtain critical velocities of the transient flow. Melnikov's integral approach is used to find the critical parameters in which chaos takes place. Effects of different parameters including the aspect ratio, plate material and the ply angle in laminates on the critical flow speed are investigated. In a parametric study, we show that how the linear and nonlinear stiffness of the plate and the load frequency and amplitude would influence the chaotic behavior of the plate.

A Study on the Vibration Characteristics of Laminated Composite Rectangular Plate using ANSYS (ANSYS를 이용한 복합 적층 사각판의 진동특성에 관한 연구)

  • 이기형
    • Journal of the Korean Society of Safety
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    • v.12 no.2
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    • pp.37-44
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    • 1997
  • Composite materials have various complicated characteristics depending on the ply materials, ply orientations, ply stacking sequences and boundary conditions. Therefore, it is difficult to analyze composite materials. For efficient use of composite materials in engineering applications, the dynamic behavior such as natural frequencies and nodal patterns should be identified. This study presents FEM results for the free vibration of symmetrically and antisymmetrically laminated composite and hybrid composite rectangular plates. The natural frequencies of laminated composite rectangular plates having the various boundary conditions (completely clamped, 2-edge clamped, cantilevered) are experimentally obtained. In order to demonstrate the validity of the experiment, FEM analysis using ANSYS was performed and natural frequencies experimentally obtained is compared with that calculated by FEM analysis. The results obtained from both experiment and FEM analysis show a good agreement.

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Control of Acoustic Response of A/C Rectangular Plate Using Piezo Electric Material (압전 소자를 이용한 항공기용 사각박판에 대한 음향 반응제어)

  • Jung, Do-Hee;Park, Seen-Ok
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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    • pp.633-636
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    • 2004
  • Acoustic response control of a corner-pinned plate using piezoelectric wafers was studied, both theoretically and experimentally. Three different sizes of aluminum alloy plates were used and available ball joints were employed to hold the plate at the four comers. The plate with the largest aspect ratio showed the largest and most clear responses to the acoustic excitation in the range of frequencies $(0\sim200Hz)$, and sound pressure levels $(80\sim100dB)$ as predicted. The reduction of the acoustic response of the plate by piezoelectric actuator was very significant, more than expected, but abatement of the sound transmission through the plate was only slightly altered by the piezoelectric actuator. This work is an original work extending earlier work with doors excited by acoustic fields. The important difference is the used of ball joints to simulate the joints.

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