Applying the second variant of the boundary-shape perturbation method and using three-dimensional equations and relations of the elasticity theory including the first three approximations the author has obtained an analytical solution to the problem of elastic equilibrium for noncanonical near-cylindrical shells subjected to fluctuating axial external forces. The influence of individual shapes of noncanonical shells, amplitude and parameter of oscillation of boundary surfaces in the axial or circumferential directions on the value of maximum stresses has been clarified. An almost numerical convergence is demonstrated, based on contribution (in absolute magnitude) of each of the approximations to the sum total. For a shell in the form of bellows, which is under a permanent external pressure, a comparison is made between the hoop stress values as found by the boundary-shape perturbation method and the data obtained by the finite-difference method using equations of the Vekua theory of shells.
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Translated from Problemy Prochnosti, No. 1, pp. 58 – 74, January – February, 2012.
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Chernopiskii, D.I. On stress-strain state in thick-walled cylindrical shells bounded by corrugated surfaces. Strength Mater 44, 40–52 (2012). https://doi.org/10.1007/s11223-012-9347-8
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DOI: https://doi.org/10.1007/s11223-012-9347-8