ABSTRACT
This chapter presents an efficient stochastic free vibration analysis of composite doubly curved shells. The stochastic finite element formulation is carried out considering rotary inertia and transverse shear deformation based on Mindlin’s theory. The sampling size and computational cost in the probabilistic analysis is reduced by employing a Kriging model based approach compared to direct Monte Carlo simulation. Besides detailed investigation on the stochastic natural frequencies corresponding to low frequency vibration modes, the stochastic mode shapes and frequency response functions are also presented for a typical laminate configuration. The effect of noise on the kriging based uncertainty propagation algorithm is addressed. Results are presented for different levels of noise in a probabilistic framework to provide a comprehensive idea about stochastic structural responses under the influence of simulated noise.
