Abstract
A nonlinear integro‐differential equation for determination of the shape of the meridian of a shell of revolution for which a prescribed external load produces no change in the curvature and torsion of the median surface has been derived. A formula for determination of the cross‐sectional area of an elastic stiffening ring has been obtained.
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REFERENCES
M. R. Horne, Shells with Zero Bending Stress, J. Mech. Phys. Solids, 2,No. 2, 117 (1954).
S. P. Timoshenko and S. Voinovskii-Kriger, Plates and Shells [in Russian], Nauka, Moscow (1966).
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Martynenko, T.M. Geometric Shapes of Membrane Shells Stiffened with an Elastic Ring. Journal of Engineering Physics and Thermophysics 77, 219–221 (2004). https://doi.org/10.1023/B:JOEP.0000020743.71050.0c
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DOI: https://doi.org/10.1023/B:JOEP.0000020743.71050.0c