ABSTRACT

In this chapter, uncertainty caused by inevitable random variation of environmental factors such as temperature are dealt with. The propagation of thermal uncertainty in composite structures has significant computational challenges. This chapter presents the thermal, ply-level and material uncertainty propagation in frequency responses of laminated composite plates by employing a surrogate model which is capable of dealing with both correlated and uncorrelated input parameters. In the present generalized high dimensional model representation (GHDMR) based approach, diffeomorphic modulation under observable response preserving homotopy (D-MORPH) regression is utilized to ensure the hierarchical orthogonality of high dimensional model representation component functions. The stochastic range of thermal field includes elevated temperatures up to 375 K and sub-zero temperatures up to cryogenic range of 125 K.