Optimal design and active control for orthotropic two-dimensional structures

Aim of this paper is the applications of random uncertainty models in article control and optimal design of two dimensional structures. Uncertainties are modeled via random fields that account for fluctuations of the physical properties of the structure around a deterministic field. We extend classical results and tools in stochastic optimal control and structural optimization to systems affected by random uncertainties. A stochastic-based concept of optimality is set forth and the proposed designs are optimal with respect to this newly established criterion, numerical studies on orthotropic two dimensional plates are worked out to complete the paper validating its theoretical derivations.