ABSTRACT
A unified method for determining the lowest natural frequency of large amplitude free vibrations of thin elastic plates of any shape and placed on elastic foundation is discussed. The conformal transformation technique is used and Galerkin’s principle is utilised to calculate approximate values of the lowest natural frequency. Time periods for circular, square and cornered plates placed on elastic foundation have been determined for simply supported and clamped edge boundary conditions. Frequencies have also been determined experimentally. The results are presented in the form of graphs and compared with other available results.
