Free Vibration of a Thin Shell Structure of Rectangular Cross-Section

This paper presents an analysis on the free vibration of a shell structure of rectangular cross-section. The shell of rectangular cross-section is modeled by four rectangular panels elastically connected at right angles under general boundary conditions. With the general boundary and coupling condit...

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Bibliographic Details
Published in:Key engineering materials 2011-07, Vol.486, p.107-110
Main Authors: Chen, Yue Hua, Liu, Zhi Gang, Jin, Guo Yong
Format: Article
Language:English
Subjects:
Boundaries
Cross sections
Free vibration
Mathematical models
Shells
Springs
Thin walled shells
Vibration
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Summary:This paper presents an analysis on the free vibration of a shell structure of rectangular cross-section. The shell of rectangular cross-section is modeled by four rectangular panels elastically connected at right angles under general boundary conditions. With the general boundary and coupling conditions accounted for several groups of linear springs, the double series solutions for both flexural and in-plane vibrations are obtained by employing the Rayleigh-Ritz method and the validation of the calculations is proved by comparing the eigenpairs with the Finite Element Method results. It is shown that the mode shapes of the rigidly coupled model perform a symmetrical feature.
ISSN:1013-9826
1662-9795
1662-9795
DOI:10.4028/www.scientific.net/KEM.486.107