Reliability-based design optimization of trusses under dynamic shakedown constraints

A reliability-based design optimization problem under dynamic shakedown constraints for elastic perfectly plastic truss structures subjected to stochastic wind actions is presented. The simultaneous presence of quasi-static (cyclic) thermal loads is also considered. As usual in the shakedown theory, the quasi-statical loads will be defined as variable within a deterministic domain, while the dynamic problem will be treated considering an extended Ceradini-Gavarini approach. Some sources of uncertainties are introduced in the structural system and in the load definition. The reliability-optimization problem is formulated as the minimization of the volume of the structure subjected to deterministic and probabilistic constraints (related with the dynamic shakedown behavior). The related reliability constraints check is performed by means of a standard Monte Carlo simulation technique. An illustrative example is reported in order to validate the proposed approach and to provide useful practical tools.