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Engineering with Computers

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07.02.2022 | Original Article

Nonlinear forced vibrations of three-phase nanocomposite shells considering matrix rheological behavior and nano-fiber waviness

verfasst von: R. Nopour, F. Ebrahimi, A. Dabbagh, M. M. Aghdam

Erschienen in: Engineering with Computers | Ausgabe 1/2023

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Abstract

The present study investigates the nonlinear vibrations in thin-walled shells consisting of three-phase polymer nanocomposites with regard to the viscoelastic properties of polymer and curved shape of carbon nanotubes (CNTs). To this end, a hierarchical micromechanical framework is introduced to study the effective properties of multi-scale hybrid (MSH) nanocomposite. Next, the von Kármán-type nonlinearity is considered together with the displacement field of the classical shell theory to derive the governing equations in the context of Hamilton’s principle. In addition, the impacts of both axial compression and transverse harmonic stimulation on the dynamic response of the system are taken into consideration. Afterward, the method of harmonic balance is implemented to find the frequency–response relation of the structure. The transient response is also achieved with the aid of fourth-order Runge–Kutta method. The results of this work reveal that resonance estimation in such hybrid nanomaterial structures will be inaccurate if the softening effect of waviness phenomenon on the modulus is ignored. On one hand, it is demonstrated that the amplitude of the dynamic deflection of the shell will be reduced with time (i.e., due to the viscoelastic properties of the polymer). On the other hand, it is depicted that rising the content of glass fibers (GFs) in the MSH nanocomposite shell results in softer oscillations. The reason for this trend is the reducing impact of this change on the content of the CNTs in the composition of the polymer nanocomposite.

Vorheriger Artikel Wave dispersion relations in laminated fiber-reinforced composite plates with surface-mounted piezoelectric materials

Nächster Artikel Peridynamic modeling and simulation of thermo-mechanical fracture in inhomogeneous ice

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Titel: Nonlinear forced vibrations of three-phase nanocomposite shells considering matrix rheological behavior and nano-fiber waviness
verfasst von: R. Nopour
F. Ebrahimi
A. Dabbagh
M. M. Aghdam
Publikationsdatum: 07.02.2022
Verlag: Springer London
Erschienen in: Engineering with Computers / Ausgabe 1/2023
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI: https://doi.org/10.1007/s00366-022-01608-7

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