A space-probabilistic separation approach for Structure Static reliability analysis

Abstract

Abstract:In mechanics, as in many scientific domains, information and data can be:deterministic (certainty known or with error safety coefficient),probabilistic (random with known probability distribution),possibilistic (random known with an uncertainty factor on the reliability of the information. Parameters change in a known range, but the probability is unidentified).The probabilistic mechanical approaches aim to give an estimation of the solution when the information on the parameters of analyzed problem is uncertain.For some mechanical problems with probabilistic parameters, a constraint to be satisfied is added. In engineering design, the reliability analysis is an example of such constraint.In this paper, and for static probabilistic-reliability analysis, an approach reducing the size of numerical computing is proposed. It will be validated on static discrete and continuous systems having probabilistic parameters.