Search

Natural frequencies corresponding to axi‐ and antisymmetric modes of vibration of the structural elements described in the title are studied using the optimized Rayleigh–Ritz approach. It is assumed that the plates are elastically restrained against translation and rotation. The plate amplitude is approximated in terms of polynomial coordinate functions that satisfy the boundary conditions, each one containing an undetermined exponential parameter that allows for the minimization of the eigenvalues under investigation.