Stochastic Beams on Elastic Foundation

by Mircea Grigoriu, Cornell Univ, Ithaca, NY, USA,
Mahmoud Khater, Cornell Univ, Ithaca, NY, USA,
Thomas O'Rourke, Cornell Univ, Ithaca, NY, USA,



Document Type: Proceeding Paper

Part of: Structural Safety Studies

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: Stochastic processes | Elastic analysis | Elastic foundations | Finite element method | Finite difference method | Beams | Pipelines

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