Linear Vibrations of Nanotube-Reinforced Composite Conical Shell with Ring Stiffener

Linear vibrations of thin-walled structure, which consists of nanotube-reinforced conical shell and ring stiffeners, are analyzed. Ring is attached at the end of truncated conical shell. Such shell structure describes adapter of rocket. Dynamic of such structure is actual problem of aerospace engine...

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Bibliographic Details
Date:2026
Main Authors: Аврамов, К. В., Успенський, Б. В., Любарський, Б. Г., Смецьких, О. А., Біблік, І. В.
Format: Article
Language:English
Published: Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України 2026
Online Access:https://journals.uran.ua/jme/article/view/359589
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Journal Title:Journal of Mechanical Engineering

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Journal of Mechanical Engineering
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Summary:Linear vibrations of thin-walled structure, which consists of nanotube-reinforced conical shell and ring stiffeners, are analyzed. Ring is attached at the end of truncated conical shell. Such shell structure describes adapter of rocket. Dynamic of such structure is actual problem of aerospace engineering. Material of this shell is nanocomposite, and ring is manufactured from isotropic material. Higher order shear deformation theory for the shell and Euler-Bernoulli theory for ring stiffeners are applied. The Rayleigh-Ritz method is used to derive the equations of the structure vibrations. The potential energy of the thin-walled structure is used. This potential energy consists of potential energy of the conical shell and potential energy of the ring. It is assumed that the ring vibrates in two perpendicular planes, performs vibrations in circumference directions, and torsional vibrations occur. The least action variational principle is used. As a result, the generalized eigenvalue problem is derived. The data of eigenfrequencies calculations is verified by finite element calculations in ANSYS software.