• Title/Summary/Keyword: free vibration frequencies

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Thermal Buckling Characteristics of Composite Conical Shell Structures

  • Woo, Ji-Hye;Rho, Jin-Ho;Lee, In
    • International Journal of Aeronautical and Space Sciences
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    • v.8 no.2
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    • pp.82-88
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    • 2007
  • Thermal Buckling and free vibration analyses of multi-layered composite conical shells based on a layerwise displacement theory are performed. The Donnell's displacement-strain relationships of conical shell structure are applied. The natural frequencies are compared with the ones existing in the previous literature for laminated conical shells with several cone semi-vertex angles. Moreover, the thermal buckling behaviors of the laminated conical shell are investigated to consider the effect of the semi-vertex angle, subtended angle, and radius to thickness ratio on the structural stability.

Dynamic characteristics of transmission line conductors and behaviour under turbulent downburst loading

  • Darwish, Mohamed M.;El Damatty, Ashraf A.;Hangan, Horia
    • Wind and Structures
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    • v.13 no.4
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    • pp.327-346
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    • 2010
  • During the past decade, many electrical transmission tower structures have failed during downburst events. This study is a part of a research program aimed to understand the behaviour of transmission lines under such localized wind events. The present study focuses on the assessment of the dynamic behaviour of the line conductors under downburst loading. A non-linear numerical model, accounting for large deformations and the effect of pretension loading, is developed and used to predict the natural frequencies and mode shapes of conductors at various loading stages. A turbulence signal is extracted from a set of full-scale data. It is added to the mean component of the downburst wind field previously evaluated from a CFD analysis. Dynamic analysis is performed using various downburst configurations. The study reveals that the response is affected by the background component, while the resonant component turns to be negligible due large aerodynamic damping of the conductors.

Bending analysis of FGM plates using a sinusoidal shear deformation theory

  • Hadji, Lazreg;Zouatnia, Nafissa;Kassoul, Amar
    • Wind and Structures
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    • v.23 no.6
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    • pp.543-558
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    • 2016
  • The response of functionally graded ceramic-metal plates is investigated using theoretical formulation, Navier's solutions, and a new displacement based on the high-order shear deformation theory are presented for static analysis of functionally graded plates. The theory accounts for a quadratic variation of the transverse shear strains across the thickness, and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. The plates are assumed to have isotropic, two-constituent material distribution through the thickness, and the modulus of elasticity of the plate is assumed to vary according to a power-law distribution in terms of the volume fractions of the constituents. Numerical results of the new refined plate theory are presented to show the effect of the material distribution on the deflections, stresses and fundamental frequencies. It can be concluded that the proposed theory is accurate and simple in solving the static and free vibration behavior of functionally graded plates.

Dynamic stiffness formulations for harmonic response of infilled frames

  • Bozyigit, Baran;Yesilcea, Yusuf
    • Structural Engineering and Mechanics
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    • v.68 no.2
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    • pp.183-191
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    • 2018
  • In this paper, harmonic responses of infilled multi-storey frames are obtained by using a single variable shear deformation theory (SVSDT) and dynamic stiffness formulations. Two different planar frame models are used which are fully infilled and soft storey. The infill walls are modeled by using equivalent diagonal strut approach. Firstly, free vibration analyses of bare frame and infilled frames are performed. The calculated natural frequencies are tabulated with finite element solution results. Then, harmonic response curves (HRCs) of frame models are plotted for different infill wall thickness values. All of the results are presented comparatively with Timoshenko beam theory results to reveal the effectiveness of SVSDT which considers the parabolic shear stress distribution along the frame member cross-sections.

Free vibration analysis of multiple open-edge cracked beams by component mode synthesis

  • Kisa, M.;Brandon, J.A.
    • Structural Engineering and Mechanics
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    • v.10 no.1
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    • pp.81-92
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    • 2000
  • This study is an investigation of the effect of cracks on the dynamical characteristics of a cantilever beam, having multiple open-edge transverse cracks. The flexibilities due to crack have been identified for several crack depths and locations. In the study the finite element method and component mode synthesis methods are used. Coupling the components is performed by a flexibility matrix taking into account the interaction forces. Each component is modelled by cantilever beam finite elements with two nodes and three degrees of freedom at each node. The results obtained lead to conclusion that, by using the drop in the natural frequencies and the change in the mode shapes, the presence and nature of cracks in a structure can be detected. There is some counter-evidence, however, that the effects due to multiple cracks may interact to make detection more difficult than for isolated cracks.

Exact Dynamic Element Stiffness Matrices of Shear Deformable Nonsymmetric Thin-walled Beam-Columns (전단변형을 받는 비대칭 박벽 보-기둥 요소의 엄밀한 동적강도행렬)

  • Yoon Hee-Taek;Park Young-Kon;Kim Yong-Ki
    • Proceedings of the KSR Conference
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    • 2005.05a
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    • pp.536-543
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    • 2005
  • Derivation procedures of exact dynamic stiffness matrices of thin-walled curved beams subjected to axial forces are rigorously presented for the spatial free vibration analysis. An exact dynamic stiffness matrix is established from governing equations for a uniform curved beam element with nonsymmetric thin-walled cross section. Firstly this numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. Thus, displacement functions of dispalcement parameters are exactly derived and finally exact stiffness matrices are determined using element force-displacement relationships. The natural frequencies of the nonsymmetric thin-walled curved beam are evaluated and compared with analytical solutions or results by ABAQUS's shell elements in order to demonstrate the validity of this study.

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Static and Free Vibration Analyses of Hybrid Girders by the Equivalent Beam Theory (등가보 이론을 이용한 복합 거더의 정적 및 자유진동 해석)

  • Choi, In-Sik;Yeo, In-Ho
    • Proceedings of the KSR Conference
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    • 2007.05a
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    • pp.1068-1073
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    • 2007
  • 3D finite element analyses of a corrugated steel web girder and a steel truss web girder are conducted to investigate the static and dynamic behaviour of the hybrid girders. And the analyses results are compared with those by the equivalent beam theory. The equivalent theory is a theory that all section properties of a truss structure are replaced by section properties of a beam including the shear coefficient. When applying the equivalent beam theory, the shear coefficient of the corrugated steel web girder is estimated as the area ratio of total section to web section and that of the steel truss web girder is calculated by the equation proposed by Dewolf. Static deflections and natural frequencies by 3D finite element analyses and the those by the equivalent beam theory are relatively in good agreement.

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Position control of two link flexible manipulator using Timoshenko beam model (Timoshenko beam 모델을 이용한 두개의 링크를 갖는 유연성 매니퓰레이터의 위치 제어)

  • 김기환;강경운;전홍태
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10a
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    • pp.382-387
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    • 1990
  • In this paper, the dynamic modeling and tip position of rotating Timoshenko beam analyzed by means of FEM (finite element method) and Hyperstability MRAC(model referenced adaptive control) technique of each other. The governing equations of the rotating beams are drived from Hamilton's principle. The dynamic model of this multi-link is drived by Lagrange approach. The shear deformation and rotary inertia are incorporated into a finite element model for determining the bending frequencies of the rotating beam. Simulation results for uniform cantilever beams by using the MRAC are compared with the available results. It will be shown that the proposed method offers an accurate and effective one to solve the free vibration problems of rotating beams' stability.

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Free Vibration Analysis of the Scroll Compressor Housing by Shell Theory (셸이론을 이용한 스크롤 압축기 하우징의 자유진동해석)

  • Kim, H.S.;Lee, Y.S.;Yang, M.S.;Choi, M.H.;Ryu, C.H.
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.242-247
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    • 2000
  • In this study, the Rayleigh's energy method and the Rayleigh-Ritz method on the basis of Flugge's shell theory was used to analyze the dynamic characteristics of the scroll compressor housing with clamped boundary condition. The frequencies and mode shapes from theoretical calculation were compared with those of commercial finite element code, ANSYS. In order to validate the theory, modal test was also performed by impact test and FFT analysis.

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An exact transfer matrix method for coupled bending and bending vibrations of a twisted Timoshenko beam

  • Lee, Jung Woo;Lee, Jung Youn
    • Structural Engineering and Mechanics
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    • v.72 no.6
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    • pp.797-807
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    • 2019
  • In this study, an exact transfer matrix expression for a twisted uniform beam considering the effect of shear deformation and rotary inertia is developed. The particular transfer matrix is derived by applying the distributed mass and transcendental function while using a local coordinate system. The results obtained from this method are independent for a number of subdivided elements, and this method can determine the required number of exact solutions for the free vibration characteristics of a twisted uniform Timoshenko beam using a single element. In addition, it can be used as a useful numerical method for the computation of high-order natural frequencies. To validate the accuracy of the proposed method, the computed results are compared with those reported in the existing literature, and the comparison results indicate notably good agreement. In addition, the method is used to investigate the effects of shear deformation and rotary inertia for a twisted beam.