Abstract

Abstract:In presentpaper, comparison of First Order Shear Deformation Theory (FSDT) and simpleFSDT on Nano rectangular FG plate vibration analysis according to modifiedcouple stress theory under moving load is developed. Every theory has identicalpattern. First, displacement fields and associated strains are introduced.Equations of motion and boundary conditions are extracted from Hamilton’sprinciple and for studying of small scale effect; modified couple stress theoryis employed. Analytical solution for a simply supported Nano FG plate attained.Numerical examples are presented in order to verification of the researchaccuracy. The results show that power law index and length scale parameter haveinverse effect on plate’s deflections, but same trends in frequency, althoughthere are slight differences between the theories at their amplitudes.

Keywords– Simple First Order Shear Deformation Theory, FSDT,Modified Couple Stress Theory, Hamilton’s principle