A beam-like model is proposed to address nonlinear dynamic response of a thin pipe, under the action of a resonant transverse load. The mechanical model consists of a Timoshenko beam enriched with further kinematic and dynamic variables which, besides extension and bending, consistently describe local effects, related to ovalization and warping of the cross-section. The nonlinear equations of motions are derived via the principle of virtual work, and internal resonance between the global and local modes is addressed by the multiple scale method, after a Galerkin projection of the equations on the first significant modes. The softening behavior induced by the local deformation remarkably affects the asymptotic solution, which turns out to be in good agreement with that provided by numerical integration.

Casalotti, A., Zulli, D., Luongo, A. (2021). Dynamic response to transverse loading of a single-layered tubular beam via a perturbation approach. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 137, 103822 [10.1016/j.ijnonlinmec.2021.103822].

Dynamic response to transverse loading of a single-layered tubular beam via a perturbation approach

Casalotti A.;
2021-01-01

Abstract

A beam-like model is proposed to address nonlinear dynamic response of a thin pipe, under the action of a resonant transverse load. The mechanical model consists of a Timoshenko beam enriched with further kinematic and dynamic variables which, besides extension and bending, consistently describe local effects, related to ovalization and warping of the cross-section. The nonlinear equations of motions are derived via the principle of virtual work, and internal resonance between the global and local modes is addressed by the multiple scale method, after a Galerkin projection of the equations on the first significant modes. The softening behavior induced by the local deformation remarkably affects the asymptotic solution, which turns out to be in good agreement with that provided by numerical integration.
2021
Casalotti, A., Zulli, D., Luongo, A. (2021). Dynamic response to transverse loading of a single-layered tubular beam via a perturbation approach. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 137, 103822 [10.1016/j.ijnonlinmec.2021.103822].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/438272
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 5
social impact