Forced vibrations of a boxed shell of square cross-section

We construct the solution of the problem on the steady-state vibrations of a finite boxed shell of square cross-section with symmetry conditions at the shell ends. We present the dispersion curves, find the natural frequencies, and study the stress distribution in the shell. We obtain a simple formu...

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Bibliographic Details
Published inMechanics of solids Vol. 44; no. 6; pp. 907 - 914
Main Authors Vorobel’, V. M., Popov, G. Ya, Reut, V. V.
Format Journal Article
LanguageEnglish
Published Heidelberg Allerton Press, Inc 01.12.2009
Springer
Subjects
Classical Mechanics
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Physics and Astronomy
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
stressed state
forced vibrations
boxed shell
asymptotics
Natural frequency
Stress analysis
Lagrange interpolation
Forced vibration
Cylindrical shell
Low frequency
Modeling
Small parameter method
Steady state
Structural analysis
Wave dispersion
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Summary:We construct the solution of the problem on the steady-state vibrations of a finite boxed shell of square cross-section with symmetry conditions at the shell ends. We present the dispersion curves, find the natural frequencies, and study the stress distribution in the shell. We obtain a simple formula for the approximate analysis of the shell in the case of low-frequency vibrations on the basis of the expansion of the solution in two small parameters and on the Lagrange interpolation formula.
ISSN:0025-6544
1934-7936
DOI:10.3103/S0025654409060089