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Vibration correlation technique for predicting the buckling load of imperfection-sensitive isotropic cylindrical shells: An analytical and numerical verification

Franzoni, Felipe and Degenhardt, Richard and Albus, Jochen and Arbelo, Mariano (2019) Vibration correlation technique for predicting the buckling load of imperfection-sensitive isotropic cylindrical shells: An analytical and numerical verification. Thin-Walled Structures, 140, pp. 236-247. Elsevier. DOI: 10.1016/j.tws.2019.03.041 ISSN 0263-8231

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Official URL: http://www.sciencedirect.com/science/article/pii/S0263823118312813

Abstract

This paper presents an analytical and numerical investigation of the relationship between the compressive load level and the natural frequency variation toward a vibration correlation technique for the buckling load calculation of imperfection-sensitive isotropic cylindrical shell structures. Firstly, a back-to-basic s study is proposed and the linear equation between the applied load and the square of the loaded natural frequency is revisited. Such review considers the Flügge-Lur'e-Byrne's linear shell theory for the free vibrations of an isotropic unstiffened cylindrical shell under uniform axial loading. The demonstrated linear equation is rearranged for expressing the square of the applied load as a quadratic function of the square of the loaded natural frequency. The suggested formulation provides the analytical support to a novel vibration correlation technique that has been empirically proposed and experimentally validated for unstiffened cylindrical shells. Aiming a numerical verification based on finite element models, two cylindrical shells are defined. At first, the critical buckling load and the fundamental natural frequency for different load levels are determined and compared to the analytical results for validation of the numerical models. The finite element models are extended considering geometric nonlinearities, more realistic boundary conditions and three magnitudes of a benchmark measured initial geometric imperfection. The numerical results are considered for analyzing the variation of the natural frequency in the surroundings of buckling and for verifying the vibration correlation technique.

Item URL in elib:https://elib.dlr.de/124714/
Document Type:Article
Title:Vibration correlation technique for predicting the buckling load of imperfection-sensitive isotropic cylindrical shells: An analytical and numerical verification
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Franzoni, FelipeFelipe.Franzoni (at) dlr.deUNSPECIFIED
Degenhardt, RichardRichard.Degenhardt (at) dlr.deUNSPECIFIED
Albus, JochenArianeGroup GmbHUNSPECIFIED
Arbelo, MarianoITAUNSPECIFIED
Date:July 2019
Journal or Publication Title:Thin-Walled Structures
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:140
DOI :10.1016/j.tws.2019.03.041
Page Range:pp. 236-247
Publisher:Elsevier
ISSN:0263-8231
Status:Published
Keywords:Nondestructive experiments, Vibration correlation technique, Free vibrations, Cylindrical shells, Buckling, Imperfection-sensitive structures
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:other
DLR - Research area:Raumfahrt
DLR - Program:R - no assignment
DLR - Research theme (Project):R - no assignment
Location: Braunschweig
Institutes and Institutions:Institute of Composite Structures and Adaptive Systems > Structural Mechanics
Deposited By: Franzoni, Felipe
Deposited On:14 Dec 2018 12:26
Last Modified:06 Sep 2019 15:20

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