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Effect of In-Plane Loads on Natural Frequency of Transversely Isotropic Thick Annular Sector Plate

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Year: 2012
COI code: ISAV02_166
Paper Language: English

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Authors Effect of In-Plane Loads on Natural Frequency of Transversely Isotropic Thick Annular Sector Plate

  A. Hasani Baferani - Mechanical Engineering Department, Amirkabir University of Technology, Hafez Ave
A. R. Ohadi -


In this paper, effects of in-plane loads on the vibration of transversely isotropic annular sector plate have been studied. Based on third-order shear deformation plate theory, the governingcoupled partial differential equations have been analytically solved. By doing some mathematical manipulations, these equations are converted to decoupled differential equations.Based on Levy’s solution, the radial edges are assumed to be simply supported and differentboundary conditions are considered for circular edges. Therefore, nine different boundary conditions are considered here. At first, stability equations have been analytically solved andthe critical buckling loads obtained. Then, the natural frequency has been extracted from thegoverning equations of motion subjected to in-plane loads. The results show that the in-plane loads affect significantly natural frequency of transversely-isotropic annular sector plate. Furthermore,these results are highly dependent to boundary conditions. By considering severalload ratios, the natural frequencies have been evaluated. It is observed that the natural frequency of annular sector plate vanishes when the applying load equals to the critical buckling load. In most boundary conditions, increasing the load ratios causes to decrease the natural frequency


Vibration; In-plane loads; Annular sector plate; Transversely isotropic

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COI code: ISAV02_166

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Hasani Baferani, A. & A. R. Ohadi, 2012, Effect of In-Plane Loads on Natural Frequency of Transversely Isotropic Thick Annular Sector Plate, 2nd International Conference on Acoustics and Vibration, تهران, دانشگاه صنعتي شريف, the text, wherever referred to or an achievement of this article is mentioned, after mentioning the article, inside the parental, the following specifications are written.
First Time: (Hasani Baferani, A. & A. R. Ohadi, 2012)
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The University/Research Center Information:
Type: state university
Paper No.: 19660
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