Please use this identifier to cite or link to this item: https://hdl.handle.net/10216/123350
Author(s): Batool Soleimani Roody
Hamed Akhavan
Pedro Ribeiro
Ali Reza Fotuhi
Title: Free, periodic, large amplitude vibrations of small-scale piezoelectric beams by a modified couple stress theory
Issue Date: 2018
Abstract: With the goal of studying the evolution of their natural frequencies with the vibration amplitude, free, periodic vibrations of small-scale beams in piezoelectric materials are investigated. A modified couple stress theory is applied, in order to take the smallscale effects into consideration. The partial differential governing equations are transformed to ordinary differential equations by Bubnov-Galerkin's method. The latter equations are solved by the method of Multiple Scales. The results of this perturbation method are compared with solutions computed using a numerical method for boundary value problems, known as shooting method. The small-scale effects on the non-linear natural frequencies of piezoelectric beams are discussed.
URI: https://hdl.handle.net/10216/123350
Source: Dynamics of micro and nano electromechanical systems: multi-field modelling and analysis (Proceedings of EUROMECH Colloquium 603)
Document Type: Artigo em Livro de Atas de Conferência Internacional
Rights: restrictedAccess
Appears in Collections:FEUP - Artigo em Livro de Atas de Conferência Internacional

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