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  4. Investigation of Size-Dependency in Free-Vibration of Micro-Resonators Based on the Strain Gradient Theory
 
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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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1679-7825-lajss-13-03-00498.pdf

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http://purl.org/coar/version/c_970fb48d4fbd8a85

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