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Acta Mechanica

Erschienen in:

19.08.2020 | Original Paper

Nonlinear vibration analysis of fractional viscoelastic cylindrical shells

verfasst von: M. R. Permoon, H. Haddadpour, M. Shakouri

Erschienen in: Acta Mechanica | Ausgabe 11/2020

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Abstract

Nonlinear vibrations of viscoelastic thin cylindrical shells are studied in this paper. The viscoelastic properties are modeled using the Kelvin–Voigt fractional-order constitutive relationship. Based on the nonlinear Love thin shell theory, the structural dynamics of the cylindrical shell is modeled by using the Newton’s second law, and the Galerkin method is used to discretize the nonlinear partial differential equations into the set of nonlinear ordinary differential equations. The method of multiple scales is used to solve the nonlinear ordinary differential equations, and the amplitude–frequency and phase–frequency equations are extracted. The obtained results are verified with available investigations, and the effects of fractional parameters, excitation, and nonlinearity on the amplitude–frequency and phase–frequency responses of the viscoelastic cylindrical shells are outlined.

Vorheriger Artikel Passive-adaptive mechanical wave manipulation using nonlinear metamaterial plates

Nächster Artikel Analysis of dynamic stability of beam structures

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Titel: Nonlinear vibration analysis of fractional viscoelastic cylindrical shells
verfasst von: M. R. Permoon
H. Haddadpour
M. Shakouri
Publikationsdatum: 19.08.2020
Verlag: Springer Vienna
Erschienen in: Acta Mechanica / Ausgabe 11/2020
Print ISSN: 0001-5970
Elektronische ISSN: 1619-6937
DOI: https://doi.org/10.1007/s00707-020-02785-6

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