Stochastic Higher-order Finite Element Model for the Free Vibration of a Continuous Beam resting on Elastic Support with Uncertain Elastic Modulus

This paper deals with a continuous beam resting on elastic support modulus derived from random process. Governing equations of the stochastic higher-order finite element method free vibration were Hamilton's principle. The process was discretized by averaging variables in each element. A solution for eigenvalue problem obtained using perturbation technique, conjunction method. Spectral representation used to generate and employ Monte Carlo simulation. good agreement between results first-order technique