engleski

An Analysis of the Beam Bending Problem with Random Beam Height

The standard beam bending problem has been obtained where the beam height is assumed to have spatial uncertainty. The formulation to determine the response variability of the beam due to randomness of the beam height is given. The concept of variablity 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 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. The coefficeint variation and variance of the response deflection was calculated as the function of the coefficeint of variation and variance of the beam height as the input quantity. Numerical example shows good agreement of the proposed weighted integral method with solution calculated by Monte Carlo simulation.

Beam bending; Response variability; uncertain geometrical property; weighted integral method

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