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  4. Investigation of Size-Dependency in Free-Vibration of Micro-Resonators Based on the Strain Gradient Theory
 
research article

Investigation of Size-Dependency in Free-Vibration of Micro-Resonators Based on the Strain Gradient Theory

Vatankhah, R.
•
Kahrobaiyan, M. H.  
March 1, 2016
Latin American Journal Of Solids And Structures

This paper investigates the vibration behavior of micro-resonators based on the strain gradient theory, a non-classical continuum theory capable of capturing the size effect appearing in micro-scale structures. The micro-resonator is modeled as a clamped-clamped micro-beam with an attached mass subjected to an axial force. The governing equations of motion and both classical and non-classical sets of boundary conditions are developed based on the strain gradient theory. The normalized natural frequency of the micro-resonator is evaluated and the influences of various parameters are assessed. In addition, the current results are compared to those of the classical and modified couple stress continuum theories.

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Type
research article
DOI
10.1590/1679-78252430
Web of Science ID

WOS:000375779000006

Author(s)
Vatankhah, R.
Kahrobaiyan, M. H.  
Date Issued

2016-03-01

Publisher

FapUNIFESP (SciELO)

Published in
Latin American Journal Of Solids And Structures
Volume

13

Issue

3

Start page

498

End page

515

Subjects

Strain gradient theory

•

Micro-resonator

•

Size-dependency

•

Length scale parameter

•

Free vibration

Note

This article is licensed under a Creative Commons Attribution 4.0 International License

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
INSTANT-LAB  
Available on Infoscience
July 19, 2016
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/127992
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