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Filaments are assumed to be placed along the geodesic fiber path on the shell of revolution resulting in the variation of the stiffness coefficients along the axis of the composite shell of revolution with general meridional curvature.
Extensional and bending strain-displacement relationships are derived from general expressions for a thin shell of revolution.
The numerical computation is based on the general shell of revolution semi-analytical finite element applicable to moderately thick shells.
The analysis is developed for a shell of revolution of arbitrary meridian, and then applied to a complete circular toroidal shell.
With an efficient program (Fast4) for shell of revolution structures, all mechanical (elastic) details of the curved cochlear cross-section and the organ of Corti can be computed.
An analytical solution procedure is presented for the free vibration of vessels consisting of a shell of revolution having varying meridional curvature and circular plate lids.
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In addition, a crude single-ply carbon/polyurethane hyperbolic shell-of-revolution structure is built and tested.
A mathematical model governing the large deformation of a hyperbolic shell-of-revolution FMC structure using the energy approach is presented.
The idea is based on the hypothesis that upon twisting a single-ply flexible-matrix-composite (FMC) hyperbolic shell-of-revolution structure, with rigid fibers and negligible matrix stiffness, a considerable volume reduction ensues.
This latter problem is then solved by using the multi-segment method of integration [Kalnins, A., 1964. Analysis of shell of revolutions subjected to symmetrical and non-symmetrical loads. Journal of Applied Mechanics 31, 1355 1365].
Toroidal shells belong to the shells of revolution family.
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