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- Title
Investigation of Size-Dependency in Free-Vibration of Micro-Resonators Based on the Strain Gradient Theory.
- Authors
Vatankhah, R.; Kahrobaiyan, M. H.
- 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.
- Subjects
MICRORESONATORS (Optoelectronics); CONJUGATE gradient methods; BOUNDARY value problems; MATHEMATICAL continuum
- Publication
Latin American Journal of Solids & Structures, 2016, Vol 13, Issue 3, p498
- ISSN
1679-7817
- Publication type
Article
- DOI
10.1590/1679-78252430