Canonical exact solutions for Levy-plates on two-parameter foundation using Green's functions

Abstract

This paper concerns the elastic bending, buckling and vibration problems of Levy-plates resting on various two-parameter foundation models. Using Green's functions, canonical exact solutions have been derived for such plates. These exact solutions are valuable to researchers and engineers as they serve as benchmark results for checking the convergence, validity and accuracy of numerical solutions. For this purpose, some sample bending, buckling and vibration results for Levy-plates on two-parameter foundation are presented. Moreover, these exact solutions show clearly the intrinsic features of the solutions with respect to the various design parameters.