Probability-Based Approach for Inverse Stochastic Structural Problems

The topic of this paper is related to the inverse stochastic mechanic problems, in which it is necessary to estimate the unknown mechanical and geometrical random quantities of the structures once the external loads and displacement responses are probabilistically known. In particular, in this work, a probability-based approach for inverse stochastic problems, working directly in terms of probability density functions (PDFs), is presented. This approach has been possible thanks to the application of the probability transformation method (PTM), which has been recently introduced for the solution of many stochastic analysis problems.