Thermoelastic vibration analysis of two dimensional functionally graded Rectangular Microplates

This paper develops the classical laminate plate theory (CLPT) for thermoelastic vibration analysis of microplates. Material of the microplate is graded through the length and thickness of the plate (i.e. 2D-FGM). Gradient of the material is assumed to obey the power law in terms of the volume fraction of the constituents. Geometry of the microplate is assumed to be rectangular and the sizedependent vibrational behavior of the plate in micro scale is studied by applying the modified couple stress theory.nonExpanding the displacement field by admissible functions which satisfy the essential boundary conditions and applying the Hamilton principle with Ritz method, the natural frequencies of the microplate are obtained. Effects of thickness to length ratio on free vibration of microplate is studied. Finally, the effect of various parameters such as thermal environment and length scale parameter onvibrational behavior of introduced problems are studied in detail.

Keywords:

Thermoelastic vibration , Microplates , Modified couple stress theory , two dimensional functionally graded