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Free Vibration Analysis of Orthotropic Thick Shells of Revolution Using Discrete Layer Theory

โœ Scribed by B.P. Gautham; N. Ganesan


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
219 KB
Volume
171
Category
Article
ISSN
0022-460X

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โœฆ Synopsis


A two-noded finite element is presented for the analysis of thick orthotropic layered shells of revolution based on the discrete layer theory. The effects of transverse shear deformation and rotary inertia are taken into consideration. A piece-wise linear variation of the in-plane displacements across the thickness is assumed. The displacements are expanded in a Fourier series in the circumferential direction, as this reduces the order of the problem facilitating the evaluation of both symmetric and asymmetric circumferential modes of vibration. The effect of piece-wise linear variation on the representation of the shear deformation is studied by means of varying the number of layers across the thickness. The representation and the effect of the boundary conditions are discussed. Results are presented for spherical shells.


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