An Application of Stochastic Analysis on Beam Bending Problem

摘要

The beam height is assumed to have spatial uncertainty. The formulation to determine the response variability of the beam due to randomness of beam height is given. The concept of variability response function is extended to beam bending problem where the beam height is considered to be one-dimensional, homogenous stochastic field. The randomness of the beam height has than influence not only on the flexural rigidity of the beam, but also on the self-weight load of the beam. Through the proposed formulation, it becomes possible for the weighted integral stochastic finite element analysis to consider complete influence of uncertain geometrical property on response variability.