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.
Similar content being viewed by others
References
Brazier, L.G., ‘On the flexure of thin cylindrical shells and other ‘Thin’ sections’, Proc. Royal Society of London, Series A, 116 (1927) 104–114.
Calladine, C.R., Theory of Shell Structures, Cambridge University Press, 1983.
Podio Guidugli, P., ‘Flexural instabilities of elastic rods’, J. Elasticity 12(1) (1982) 3–17.
Nayfeh, A.H. and Raouf, R.A., ‘Nonlinear forced response of infinitely long circular cylindrical shells’, J. Appl. Mech. 54 (1987) 571–577.
Sepe, V. and Devitofranceschi, A., ‘Nonlinear forced oscillations of finite length circular cylindrical shells’, In: Proc. 3rd European Conf. on Structural Dynamics EURODYN’ 96, Firenze, Italy, 1 1996 pp. 431–438.
Capriz, G., Continua with Microstructure, Springer-Verlag, 1992.
Di Carlo, A. and Nardinocchi P., ‘Torsione e Ovalizzazione’, In: Proc. 13 Conf. of Italian Society of Theor. and Appl. Mech., AIMETA’ 97, Siena, Italy 3 1997 pp. 213–219, (in Italian).
Di Carlo, A., ‘A nonstandard format for continuum mechanics’, In: Batra, R.C. and Beatty, M.F. (Eds), Contemporary Research in the Mechanics and Mathematics of Materials, CIMNE, Barcelona, Spain, 1996, pp. 92–104.
Di Carlo, A. and Nardinocchi P., ‘Equazioni di bilancio e identificazione delle costanti elastiche per un continuo monodimensionale con struttura affine’, Proc. XII Conf. of Italian Society of Theor. and Appl. Mech., AIMETA’ 95, Napoli, Italy 5 1995 pp. 213–219, (in Italian).
Tatone, A. and Rizzi N., ‘Nonstandard models for thin-walled beams with a view to applications’, J. Appl. Mech. 63 (1996).
Rizzi, N. and Tatone, A., ‘Modelli monodimensionali di gusci prismatici sottili’, In: Proc. 9 Conf. of Italian Society of Theor. and Appl. Mech., AIMETA’ 88, 2 1988 pp. 591–597, (in Italian).
Nayfeh, A.H. and Balachandran, B., ‘Modal interactions in dynamical and structural systems’, Appl. Mech. Rev. 42(11), Part 2, 1989, S175-S201.
Haddow, A.G., Barr, A.D.S. and Mook, D.T., ‘Theoretical and experimental study of modal interaction in a two-degree-of-freedom structure’, J. Sound and Vibration 97(3) (1984) 451–473.
Nayfeh, A.H. and Mook, D.T., Nonlinear Oscillations, Wiley, 1979.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Issue Date:
DOI: https://doi.org/10.1023/A:1004362132420