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Asymmetric vibrations and chaos in spherical caps under uniform time-varying pressure fields

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Abstract

This paper presents a study on nonlinear asymmetric vibrations in shallow spherical caps under pressure loading. The Novozhilov’s nonlinear shell theory is used for modeling the structural strains. A reduced-order model is developed through the Rayleigh–Ritz method and Lagrange equations. The equations of motion are numerically integrated using an implicit solver. The bifurcation scenario is addressed by varying the external excitation frequency. The occurrence of asymmetric vibrations related to quasiperiodic and chaotic motion is shown through the analysis of time histories, spectra, Poincaré maps, and phase planes.

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Acknowledgements

The authors acknowledge the University of Modena and Reggio Emilia for supporting this research through the project “Interflu / Non-Newtonian Fluids and Fluid-Structure Interaction.”

Funding

FAR2020 Mission Oriented—(CUP E99C20001160007).

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Authors and Affiliations

  1. University of Modena and Reggio Emilia, 41121, Modena, Italy

    Giovanni Iarriccio, Antonio Zippo & Francesco Pellicano

  2. InterMech MoRe Centre, 41121, Modena, Italy

    Giovanni Iarriccio, Antonio Zippo & Francesco Pellicano

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  1. Giovanni Iarriccio
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  2. Antonio Zippo
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  3. Francesco Pellicano
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Correspondence to Giovanni Iarriccio.

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Iarriccio, G., Zippo, A. & Pellicano, F. Asymmetric vibrations and chaos in spherical caps under uniform time-varying pressure fields. Nonlinear Dyn 107, 313–329 (2022). https://doi.org/10.1007/s11071-021-07033-7

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  • DOI: https://doi.org/10.1007/s11071-021-07033-7

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