The Variation Of The Natural Frequencies With Increasing Pure Shear Loads For Rectangular Isotropic Plates

A numerical study was performed, to investigate the influence of applied pure shear on the natural frequencies of flat isotropic rectangular plates with simply supported boundary conditions all around their perimeter. Various aspect ratios were investigated, and their relevant buckling loads and modes were calculated using the ANSYS Workbench 2020 FE code. It was found that the frequency squared vs. the applied pure shear relationship displays a non-linear behavior. This behavior can be approximated with a high confidence when fitting a 4th order polynomial equation to the numerical curve. The number of points used to fit the polynomial equation and predict the flat plate pure shear-buckling load was investigated yielding a recommended value of points till 70% Nxycr to be used for engineering purposes.