Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Deformation and Stress Analysis of Catenary Shell of Revolution

Version 1 : Received: 18 April 2021 / Approved: 19 April 2021 / Online: 19 April 2021 (14:03:24 CEST)

How to cite: Sun, B. Deformation and Stress Analysis of Catenary Shell of Revolution. Preprints 2021, 2021040494 (doi: 10.20944/preprints202104.0494.v1). Sun, B. Deformation and Stress Analysis of Catenary Shell of Revolution. Preprints 2021, 2021040494 (doi: 10.20944/preprints202104.0494.v1).

Abstract

The catenary shells of revolution are widely used in constructions due to their unique mechanics' feature. However, no publications on this type of shells can be found in the literature. To have a better understanding of the deformation and stress of the catenary shells of revolution, we formulate the principal radii for two kinds of catenary shells of revolution and their displacement type governing equations. Numerical simulations are carried out based on both Reissner-Meissner mixed formulations and displacement formulations. Our investigations show that both deformation and stress response of elastic catenary shells of revolution are sensitive to its geometric parameter $c$, and reveal that the mechanics of the catenary shells of revolution does much better than the spherical shells. Two complete codes in Maple are provided.

Subject Areas

Catenary; surface of revolution; Gauss curvature; minimal surface; shells; deformation; stress; Maple

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