The Effect of Transverse Shear Deformation on the Natural Frequencies of Layered Composite Paraboloidal Shells

[+] Author and Article Information
A. Kayran, J. R. Vinson

Department of Mechanical Engineering, University of Delaware, Newark, DE 19716

J. Vib. Acoust 112(4), 429-439 (Oct 01, 1990) (11 pages) doi:10.1115/1.2930125 History: Received November 01, 1989; Online June 17, 2008


An analysis is presented for the study of the effect of transverse shear deformation on the natural frequencies of layered composite paraboloidal shells. The applicability of linear shell theory due to Reissner is assumed and governing equations are solved for the natural frequencies using the transfer matrix approach. The results of the present analysis are compared with the results for paraboloidal shells reported in the literature and good agreement is found. Transverse shear deformation effects are carried out separately for axisymmetric torsional vibration modes, axisymmetric bending-extensional vibration modes and nonsymmetric vibration modes. The variation of the effect of transverse shear deformation with respect to different rim boundary conditions, geometry of the paraboloid, material type (isotropic-orthotropic), lamination arrangement and particular meridional and circumferential vibration modes is investigated.

Copyright © 1990 by The American Society of Mechanical Engineers
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