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Dynamical Interaction Between Local and Overall Curving in Circular Cylindrical Shells: A One‐Dimensional Approach

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Abstract

The dynamic behaviour of a circular cylindrical shell is described by a one‐dimensional model of continuum with affine local structure. It is shown that, under suitable hypotheses on constitutive prescriptions, the coupling among flexure of the axis due to an external forcing and the ovalisation of the cross‐sections can be reproduced. This dynamical interaction between global and local motions is investigated for a slender and simply supported cylinder subject to a motion of the supports, near external and internal primary resonance conditions.

Sommario. La dinamica di un guscio cilindrico a sezione circolare viene affrontata mediante un modello monodimensionale di continuo con struttura locale affine. Si mostra come, sotto opportune ipotesi sulle relazioni costitutive, possa essere descritto l'accoppiamento tra l'inflessione dell'asse conseguente ad una forzante esterna e l'ovalizzazione delle sezioni trasversali.Questo tipo di interazione dinamica tra moti globali e moti locali viene analizzato per un cilindro snello semplicemente appoggiato sottoposto ad accelerazione di trascinamento, in condizioni di risonanza primaria esterna ed interna.

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Nardinocchi, P., Sepe, V. Dynamical Interaction Between Local and Overall Curving in Circular Cylindrical Shells: A One‐Dimensional Approach. Meccanica 33, 565–576 (1998). https://doi.org/10.1023/A:1004362132420

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  • DOI: https://doi.org/10.1023/A:1004362132420

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