Abstract

A stochastic finite element procedure is presented for the solution of structure-foundation problem. The method involves two stages. The first stage is hinged upon adequate representation of the stochastic field and its digital simulation by the local averaging technique along with the covariance matrix decomposition. In the second step, the finite element solution has been obtained utilizing the Neumann expansion method within the framework of Monte Carlo simulation. A curved beam resting on an uncertain elastic foundation is taken up to elucidate the efficiency of the proposed formulation and found to be advantageous in terms of CPU time when c.o.v. of the input random parameters is not too large.

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