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Journal ArticleDOI

On edge-disturbance interaction and decoupling errors in thin-walled nonshallow spherical-shell frusta

Alphose Zingoni, +1 more
- 01 Jan 1992 - 
- Vol. 13, Iss: 5, pp 375-386
TLDR
In this paper, a closed-form, compact and easily programmable formulae for the complete determination of internal actions and deformations stemming from arbitrary flexural and shearing actions uniformly distributed along the edges of a nonshallow thin-walled spherical-shell frustum was presented.
Abstract
This paper presents closed-form, compact and easily programmable formulae for the complete determination of internal actions and deformations stemming from arbitrary flexural and shearing actions uniformly distributed along the edges of a nonshallow thin-walled spherical-shell frustum. The shell edges are assumed to be sufficiently close to each other for bending-disturbance interaction to occur between them. The ensuing influence-coefficient expressions bring out the interaction component more explicitly than existing formulae. Unlike previous work on problems of spherical-shell frusta, the present study quantifies decoupling errors as continuous functions of a single fundamental parameter β. Edge-effect decoupling criteria are established for various error tolerances.

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Citations
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Journal ArticleDOI

A theoretical formulation for the stress analysis of multi-segmented spherical shells for high-volume liquid containment

TL;DR: In this paper, a linear-elastic theoretical formulation is presented for the complete determination of the state of stress in large thin-walled liquid-filled vessels in the form of multi-segmented spherical shells.
Journal ArticleDOI

Strength and stability of spherical-conical shell assemblies under external hydrostatic pressure

TL;DR: In this paper, a thin-walled shell-of-revolution assembly comprising a deep spherical shell dome axisymmetrically and tangentially joined to a steep-sided conical shell, the whole being a closed shell structure intended for stationary deployment beneath the surface of the sea in relatively shallow water.
Journal ArticleDOI

Simplification of the derivation of influence coefficients for symmetric frusta of shells of revolution

TL;DR: In this paper, a technique for simplification of the derivation of the influence coefficients for symmetric frusta of shells of revolution is presented, where the key strategy is the reduction of the number of unknowns of the problem by decomposing a system of arbitrary shell-edge actions into symmetric and anti-symmetric components conforming to the equatorial symmetry of the configuration.
Journal ArticleDOI

Discontinuity phenomena around the supports of stepwise-thickened spherical steel tanks. Part 1: Theoretical considerations and parametric results

TL;DR: In this article, the authors examined the edge effect at the upper and lower thickness discontinuity locations of spherical steel tanks in which shell thickness is stepwise-increased in a band centred about the support circle of latitude.
Journal ArticleDOI

Discontinuity phenomena around the supports of stepwise-thickened spherical steel tanks. Part 2: Numerical examples and design recommendations

TL;DR: Zingoni and Pavlovic as mentioned in this paper studied discontinuity phenomena around the supports of locally thickened spherical steel tanks, where such thickening is achieved abruptly from either side of the support latitude.
References
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Journal ArticleDOI

Theory of elastic thin shells

Journal ArticleDOI

Computation of bending disturbances in axisymmetrically loaded spherical shells: a study of the accuracy of Geckeler's approximation

TL;DR: In this paper, the accuracy of the bending disturbances in (axisymmetrically loaded) spherical shells is computed by means of the widely used simplified method known as Geckeler's approximation (often employed as a benchmark for numerical models).
Journal ArticleDOI

On the Bending of Spherical Shells

TL;DR: In this article, the bending behavior of spherical shells is reduced to the solution of a second-order differential equation with complex coefficients, and the influence coefficients and functions of truncated spherical shells are evaluated and presented in curve form for the analysis of structures composed of spherical segments.
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