COMPARISON OF FSDT AND SFSDT ON NANO RECTANGULAR FG PLATE VIBRATION BASED ON MODIFIED COUPLE STRESS THEORY UNDER MOVING LOAD

Abstract

In present paper, comparison of First Order Shear Deformation Theory (FSDT) and simple FSDT on Nano
rectangular FG plate vibration analysis according to modified couple stress theory under moving load is developed.
Every theory has identical pattern. First, displacement fields and associated strains are introduced. Equations of motion
and boundary conditions are extracted from Hamilton’s principle and for studying of small scale effect; modified couple
stress theory is employed. Analytical solution for a simply supported Nano FG plate attained. Numerical examples are
presented in order to verification of the research accuracy. The results show that power law index and length scale
parameter have inverse effect on plate’s deflections, but same trends in frequency, although there are slight differences
between the theories at their amplitudes