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RESEARCH PRODUCT

Hysteretic Systems Subjected to Delta Correlated Input

M. Di PaolaS. Caddemi

subject

symbols.namesakeAnalytical expressionsMathematical analysisLinear systemsymbolsProbabilistic logicProcess (computing)Poisson processExternal noiseClosed-form expressionSingle degree of freedomMathematics

description

The paper deals with the evaluation of the probabilistic response of a single degree of freedom elastic-perfectly plastic system subjected to a delta correlated input process. The probabilistic characterisation of the response is here obtained by considering the accumulated plastic deformations as a compound homogeneous Poisson process independent of the external input. In this case the former can be considered as an external noise acting on the linear system. A closed form solution is also obtained and the analytic expression is compared with the customary Monte-Carlo method.

https://doi.org/10.1007/978-3-642-85092-9_4