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 / Falsone, G; Sofi, Alba. - (2004). (Intervento presentato al convegno Seventh International Conference on Computational Structures Technology tenutosi a Lisbon - Portugal nel 7 - 9 September 2004) [10.4203/ccp.79.111].
Exact solutions for some statically indeterminate stochastic beams
SOFI, Alba
2004-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
