The probabilistic characterisation of the response of stochastic beams subjected to deterministic static loads is dealt with. These beams possess random bending flexibility modelled as a compound Poisson field. Starting from the basic equations ruling the beam bending problem, exact closed-form expressions of the response random fields are derived. A cantilever beam and two statically indeterminate beams under a uniformly distributed load are studied. It is shown that for statically determinate beams analytical expressions of response statistics can be easily formulated. Conversely, in the case of statically indeterminate beams a simulation technique may be more straightforward.

Exact solutions for some statically indeterminate stochastic beams

SOFI, Alba
2004

Abstract

The probabilistic characterisation of the response of stochastic beams subjected to deterministic static loads is dealt with. These beams possess random bending flexibility modelled as a compound Poisson field. Starting from the basic equations ruling the beam bending problem, exact closed-form expressions of the response random fields are derived. A cantilever beam and two statically indeterminate beams under a uniformly distributed load are studied. It is shown that for statically determinate beams analytical expressions of response statistics can be easily formulated. Conversely, in the case of statically indeterminate beams a simulation technique may be more straightforward.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12318/16132
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