Vibration Analysis of Strain Gradient Micro-Scale Resonators

The strain gradient theory, a non-classical continuumtheory capable of capturing the size effect appearing inmicro-scale structures, is employed in this paper in orderto investigate the vibration of micro-resonators. Themicro-resonator is modeled as a clamped-clampedmicro-beam with an attached mass subjected to an axialforce. The governing equations of motion and bothclassical and non-classical sets of boundary conditionsare developed based on the strain gradient theory. Thenormalized natural frequency of the micro-resonator isevaluated. The results indicate that as the ratio of thebeam thickness to the length scale parameter decreases,the frequency increases.

کلیدواژه ها:

Strain gradient theory ، Micro-resonator ، Length scale parameter ، Free vibration