Certificate of Registration Media number Эл #ФС77-53688 of 17 April 2013. ISSN 2308-6033. DOI 10.18698/2308-6033
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Mathematical model for computing parameters of a longitudinally corrugated conical shell supported by frames

Published: 27.08.2018

Authors: Dudchenko A.A., Sergeev V.N.

Published in issue: #8(80)/2018

DOI: 10.18698/2308-6033-2018-8-1794

Category: Mechanics | Chapter: Dynamics, Strength of Machines, Instruments, and Equipment

The paper investigates the stress-strain state of a thin shell using a mathematical model according to which a longitudinally corrugated shell may be represented by a continuous set of stringers oriented along the generatrices of a conical surface. The stringers are only linked longitudinally, each of them undergoing just tension-compression and bending in the axial section plane of the rotational shell. A conical shell supported by a discrete set of frames is a discrete-continuous system studied by means of the generalised function approach. The authors derived integrodifferential conical shell equilibrium equations in terms of generalised displacements, which are of interest for those specialising in calculating thin shell structure parameters

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