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Title: Vibrations of fiber-reinforced laminated deep shells

Abstract

This paper deals with a numerical method for the free vibrational analysis of laminated deep shells. The strain-displacement relations are obtained for a general laminated shell geometry described by orthogonal curvilinear coordinates. Parabolic variation of transverse shear stresses along the thickness and the effects of rotary inertia are included in the formulation. The displacement fields are represented by Bezier patches. The shape and size of these patches are controlled by certain arbitrary points called control points. Owing to the special characteristics of these control points, the treatment of displacements, slopes, curvatures, etc., at a particular edge becomes very simple. Hence, the enforcement of boundary conditions along the edges is straightforward. Ritz-type solution procedure is used for the eigen-analysis of the shell structure. Numerical examples involving laminated spherical, conical, and cylindrical shells are investigated in detail. Such shell geometries usually have planes of symmetry; hence, only one-quarter of the shell is analyzed in this study. Good convergence of the natural frequencies is observed by using eight-order Bezier functions. The results are compared with the existing sources in the literature. The influences of material strength and number of layers on the natural frequencies are also examined.

Authors:
;  [1]
  1. Univ. of Western Ontario, London, Ontario (Canada). Dept. of Mechanical Engineering
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
403298
Resource Type:
Journal Article
Journal Name:
Journal of Pressure Vessel Technology
Additional Journal Information:
Journal Volume: 118; Journal Issue: 4; Other Information: DN: Paper presented at the Pressure Vessels and Piping Conference, Minneapolis, MN (US), June 19--23, 1994; PBD: Nov 1996
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES; SHELLS; COMPOSITE MATERIALS; MECHANICAL VIBRATIONS; NUMERICAL ANALYSIS; THEORETICAL DATA

Citation Formats

Kumar, V, and Singh, A V. Vibrations of fiber-reinforced laminated deep shells. United States: N. p., 1996. Web. doi:10.1115/1.2842206.
Kumar, V, & Singh, A V. Vibrations of fiber-reinforced laminated deep shells. United States. https://doi.org/10.1115/1.2842206
Kumar, V, and Singh, A V. 1996. "Vibrations of fiber-reinforced laminated deep shells". United States. https://doi.org/10.1115/1.2842206.
@article{osti_403298,
title = {Vibrations of fiber-reinforced laminated deep shells},
author = {Kumar, V and Singh, A V},
abstractNote = {This paper deals with a numerical method for the free vibrational analysis of laminated deep shells. The strain-displacement relations are obtained for a general laminated shell geometry described by orthogonal curvilinear coordinates. Parabolic variation of transverse shear stresses along the thickness and the effects of rotary inertia are included in the formulation. The displacement fields are represented by Bezier patches. The shape and size of these patches are controlled by certain arbitrary points called control points. Owing to the special characteristics of these control points, the treatment of displacements, slopes, curvatures, etc., at a particular edge becomes very simple. Hence, the enforcement of boundary conditions along the edges is straightforward. Ritz-type solution procedure is used for the eigen-analysis of the shell structure. Numerical examples involving laminated spherical, conical, and cylindrical shells are investigated in detail. Such shell geometries usually have planes of symmetry; hence, only one-quarter of the shell is analyzed in this study. Good convergence of the natural frequencies is observed by using eight-order Bezier functions. The results are compared with the existing sources in the literature. The influences of material strength and number of layers on the natural frequencies are also examined.},
doi = {10.1115/1.2842206},
url = {https://www.osti.gov/biblio/403298}, journal = {Journal of Pressure Vessel Technology},
number = 4,
volume = 118,
place = {United States},
year = {Fri Nov 01 00:00:00 EST 1996},
month = {Fri Nov 01 00:00:00 EST 1996}
}