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.
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October 1990
Research Papers
The Effect of Transverse Shear Deformation on the Natural Frequencies of Layered Composite Paraboloidal Shells
A. Kayran,
A. Kayran
Department of Mechanical Engineering, University of Delaware, Newark, DE 19716
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J. R. Vinson
J. R. Vinson
Department of Mechanical Engineering, University of Delaware, Newark, DE 19716
Search for other works by this author on:
A. Kayran
Department of Mechanical Engineering, University of Delaware, Newark, DE 19716
J. R. Vinson
Department of Mechanical Engineering, University of Delaware, Newark, DE 19716
J. Vib. Acoust. Oct 1990, 112(4): 429-439 (11 pages)
Published Online: October 1, 1990
Article history
Received:
November 1, 1989
Online:
June 17, 2008
Citation
Kayran, A., and Vinson, J. R. (October 1, 1990). "The Effect of Transverse Shear Deformation on the Natural Frequencies of Layered Composite Paraboloidal Shells." ASME. J. Vib. Acoust. October 1990; 112(4): 429–439. https://doi.org/10.1115/1.2930125
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