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Archive of Applied Mechanics
Erschienen in: Archive of Applied Mechanics 9/2020

03.06.2020 | Original

Nonlinear thermo-electromechanical vibration analysis of size-dependent functionally graded flexoelectric nano-plate exposed magnetic field

verfasst von: Amin Ghobadi, Yaghoub Tadi Beni, Hossein Golestanian

Erschienen in: Archive of Applied Mechanics | Ausgabe 9/2020

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Abstract

In the present study, a continuous-based thermo-electromechanic model has been developed by the Kirchhoff plate’s theory and the modified flexoelectric theory in order to study the size-dependent nonlinear free vibration of functionally graded flexoelectric nano-plate under the magnetic field. Using the Hamilton’s principle and variation method, the nonlinear governing differential equations of the nano-plate and their associated boundary conditions have been extracted and the governing equations solved by using Galerkin’s and perturbation methods. The electromechanical coupling (electromechanical stress) in the internal energy function causes nonlinearity in the governing equations. The applied magnetic field is a type of external static field along with the nano-plate thickness. The natural frequencies and related mode shapes have been determined in two modes of direct and inverse flexoelectric effects. Also, the effects of such factors as length scale parameters, geometric parameters, thermal, magnetic and electrical loadings were investigated. In the presence of flexoelectric effect, the results showed that the dependence of electromechanical behavior of the structure on size is found to be significant in nanoscales. Regarding the application of this type of nano-plate in the oscillators and considering the flexoelectric effect, the applied potential difference can play an important role in adjusting and controlling the frequency.
Vorheriger Artikel An extended subset of nominal modes method for coated blisks with thickness mistuning of coatings and blisks
Nächster Artikel Vibration analysis of coupled straight–curved beam systems with arbitrary discontinuities subjected to various harmonic forces

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Metadaten
Titel
Nonlinear thermo-electromechanical vibration analysis of size-dependent functionally graded flexoelectric nano-plate exposed magnetic field
verfasst von
Amin Ghobadi
Yaghoub Tadi Beni
Hossein Golestanian
Publikationsdatum
03.06.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 9/2020
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-020-01708-0

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