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

Authors

Abstract

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.

Author Biographies

Konstantin V. Avramov, Anatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine

D. Sc. (Engineering), Associate Member of the NAS of Ukraine

Borys V. Uspenskyi, Anatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine

Cand. Sc. (Engineering)

Borys H. Liubarskyi, National Technical University "Kharkiv Polytechnic Institute"

D. Sc. (Engineering)

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Published

2026-05-04

Issue

Vol. 29 No. 1 (2026)

Section

Dynamics and Strength of Machines

License

Copyright (c) 2026 К. В. Аврамов, Б. В. Успенський, Б. Г. Любарський, О. А. Смецьких, І. В. Біблік

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