This paper presents a stochastic finite element method to calculate the variation of eigenvalues and eigenvectors functionally graded beams. The modulus material is assumed have spatial uncertainty as one-dimensional random field. formulation for beam due randomness elastic given using first-order perturbation approach. approach was validated with Monte Carlo simulation in previous studies spec...

by virtue of a complete set of two displacement potentials, an analytical derivation of the elastostatic green’s functions of an exponentially graded transversely isotropic bi-material full-space was presented. three-dimensional point-load green’s functions for stresses and displacements were given in line-integral representations. the formulation included a complete set of transformed stress-p...