Investigation of Size-Dependency in Free-Vibration of Micro-Resonators Based on the Strain Gradient Theory
Abstract 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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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Associação Brasileira de Ciências Mecânicas
2016
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| Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016000300498 |
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