Free, periodic, large amplitude vibrations of small-scale piezoelectric beams by a modified couple stress theory

• Type: Article in International Conference Proceedings Book
• Date: 2018

Authors

Batool Soleimani Roody (Author) Other; Hamed Akhavan (Author) FEUP; Pedro Ribeiro (Author) FEUP; Ali Reza Fotuhi (Author) Other

Conference proceedings International

Title: Dynamics of micro and nano electromechanical systems: multi-field modelling and analysis (Proceedings of EUROMECH Colloquium 603)

Pages: 1-4

EUROMECH Colloquium 603

Porto, Portugal, 3 September 2018

Other information

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 4