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

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.


Published in:
Latin American Journal Of Solids And Structures, 13, 3, 498-515
Year:
2016
Publisher:
Sao Paulo, Latin Amer J Solids Structures
ISSN:
1679-7825
Keywords:
Laboratories:




 Record created 2016-07-19, last modified 2018-09-13


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