Buckling Analysis of Toroidal Shell by Rayleigh-Ritz Method-Reference-Cited by-同舟云学术

Buckling Analysis of Toroidal Shell by Rayleigh-Ritz Method

Published:2019-05-13 Issue:4 Volume:141 Page:
ISSN:0094-9930
Container-title:Journal of Pressure Vessel Technology
language:en
Short-container-title:

Author:

Senjanović Ivo¹,Alujević Neven²,Ćatipović Ivan²,Čakmak Damjan²,Vladimir Nikola²,Cho Dae-Seung³

Affiliation:

1. Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Ivana Lucica 5, Zagreb 10000, Croatia e-mail:

2. Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Ivana Lucica 5, Zagreb 10000, Croatia

3. Department of Naval Architecture and Ocean Engineering, Pusan National University, 63 beon-gil 2, Busandaehak-ro, Geumjeong-gu, Busan 46239, South Korea

Abstract

The energy approach is used to analyze the buckling stability of toroidal shells. A closed and an open toroidal shell, as well as a shell segment are considered. Linear strain energy and nonlinear strain energy due to a uniform external pressure are formulated. Variations of the in-surface and normal displacement components in the circumferential and meridional directions are assumed in the form of a double Fourier series. The eigenvalue problem for the determination of the critical pressure is formulated by the Rayleigh–Ritz method (RRM). The proposed procedure is evaluated by numerical examples: one for a closed and another one for a simply supported open toroidal shell. The obtained results are validated by a comparison with results obtained by the finite strip method (FSM) and the finite element method (FEM), which shows a very good agreement.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Safety, Risk, Reliability and Quality

Link

http://asmedigitalcollection.asme.org/pressurevesseltech/article-pdf/doi/10.1115/1.4043594/6409151/pvt_141_04_041204.pdf

Reference35 articles.

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