Probabilistic response of an elastic perfectly plastic oscillator under Gaussian white noise

Cyril Feau (1)

1 CEA-DES (ex-DEN) - CEA-Direction des Energies (ex-Direction de l'Energie Nucléaire)

The response of an elastic perfectly plastic oscillator under zero mean Gaussian white noise excitation is studied in this paper. Considering the work of Vanmarcke and Veneziano, a closed form expression of the mean largest maximum of the plastic drift is given assuming that the plastic process is equivalent to a Brownian motion. In order to better describe the plastic drift a probabilistic model is proposed for the yield increments which occur in clumps. To estimate the input parameters of this model, three theoretical models, based on numerical computations of some relevant integrals, are presented. Alternatively, these parameters can be estimated, more conveniently, according to the results obtained by Ditlevsen with the Slepian model approach. The results of numerical simulations show a quite satisfactory agreement with theoretical predictions.

Keywords: Brownian motion; White noise; nonlinear oscillator; reliability function; Slepian model

Domains: Nuclear Experiment [nucl-ex]; Nuclear Theory [nucl-th]

Cyril Feau. Probabilistic response of an elastic perfectly plastic oscillator under Gaussian white noise. Probabilistic Engineering Mechanics, 2007, 23, pp.36-44. ⟨10.1016/j.probengmech.2007.10.002⟩. ⟨cea-02355388⟩