Free and forced vibration nonlinear analysis of a microbeam using finite strain and velocity gradients theory

Ralston Fernandes, S. Mahmoud Mousavi, Sami El-Borgi*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

9 Citations (Scopus)

Abstract

A nonlinear finite strain and velocity gradient framework is formulated for the Euler–Bernoulli beam theory. This formulation includes finite strain and the strain gradient within the strain energy generalization as well as velocity and its gradient within the kinetic energy generalization. Consequently, static and kinetic internal length scales are developed to capture size effects. The governing equation with initial and boundary conditions is obtained using the variational approach. Free and forced vibration of a simply supported nanobeam is studied for different values of static and kinetic length scales using the method of multiple scales.

Original languageEnglish
Pages (from-to)2657-2670
Number of pages13
JournalACTA MECHANICA
Volume227
Issue number9
Early online date19 May 2016
DOIs
Publication statusPublished - Sep 2016
MoE publication typeA1 Journal article-refereed

Fingerprint Dive into the research topics of 'Free and forced vibration nonlinear analysis of a microbeam using finite strain and velocity gradients theory'. Together they form a unique fingerprint.

Cite this