6533b831fe1ef96bd1299b5d

RESEARCH PRODUCT

Ideal Elastic-Plastic Oscillators Subjected to Stochastic Input

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Abstract The paper deals with the evaluation of the probabilistic response of an ideal elastic-plastic single degree of freedom oscillator subjected to a normal white noise. The analysis has been conducted on the hypothesis that accumulated plastic displacements are a compound homogeneous Poisson process independent of the external excitation. In this case plastic displacements can be treated as an additional external noise, to be identified, acting on a linear system. In the paper a time domain approach to obtain the two variable non stationary correlation function is proposed. Hence the evolutionary power spectral density function is also obtained. A numerical example is presented in order to show the accuracy of the presented procedure in comparison to Monte Carlo simulations.