Analysis of a curved beam on uncertain elastic foundation

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 ma...

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Bibliographic Details
Published in:Finite elements in analysis and design 2000-08, Vol.36 (1), p.73-82
Main Authors: Chakraborty, Subrata, Kumar Sarkar, Susanta
Format: Article
Language:English
Subjects:
Beams, plates and shells
Computational techniques
Curved beam
Exact sciences and technology
Finite-element and galerkin methods
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
Neumann expansion
Physics
Solid mechanics
Stochastic simulation
Structural and continuum mechanics
Structural mechanics (beam, string...)
Theory and numerical methods
Winkler foundation
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Summary: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.
ISSN:0168-874X
1872-6925
DOI:10.1016/S0168-874X(00)00009-3