Abstract:
The first natural frequency and buckling load of a micro-plate that is subjected to biaxial uniform loads are discussed in this paper. For considering size-dependency of the structure due to geometrical dimension of the plate (which is in the range of micrometre), the modified couple stress theory is applied. The characteristic equation of the plate was obtained by the Hamilton principle and the Poisson’s ratio effects were considered. Plates with two boundary types on edges (simply support and clamped) were analysed. The motion equation of the plate was solved using the trial double sinusoidal functions. The obtained results indicated that the difference between the modified and classical couple stress theory to determine natural frequency and buckling load of the plate depends on the Poisson’s ratio and aspect ratio of the plate that relates its thickness to the length scale parameter.