Stochastic Beams on Elastic Foundationby Mircea Grigoriu, Cornell Univ, Ithaca, NY, USA,
Mahmoud Khater, Cornell Univ, Ithaca, NY, USA,
Thomas O'Rourke, Cornell Univ, Ithaca, NY, USA,
Abstract: The finite difference method is applied to the second-moment analysis of beams on elastic foundation with random characteristics. The method is simpler than the stochastic finite element method because it involves only point values of the random parameters and not spatial averages of these parameters as needed in finite element studies. The finite difference method is applied to the analysis of cast iron pipeline subject to permanent ground displacements and a continuous foundation supporting two randomly loaded columns.
Subject Headings: Elastic foundations | Elastic analysis | Beams | Finite element method | Stochastic processes | Finite difference method | Parameters (statistics) | Cast iron
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