ABSTRACT
This chapter investigates the effect of rotational uncertainty under operating condition in the dynamic responses of composite shells. A response surface method based on central composite design algorithm is used for the quantification of rotational and ply-level uncertainties. The stochastic eigenvalue problem is solved by using QR iteration algorithm. An eight noded isoparametric quadratic element with five degrees of freedom at each node is considered in the finite element formulation. Sensitivity analysis is carried out to address the influence of different input parameters on the output natural frequencies. The sampling size and computational cost is reduced by employing the present surrogate based approach compared to direct Monte Carlo simulation. The stochastic mode shapes are also depicted for a typical laminate configuration.
