Stochastic free vibration analyses of composite shallow doubly curved shells – A Kriging model approach

TLDR: In this paper, the Kriging model approach for stochastic free vibration analysis of composite shallow doubly curved shells is presented. And the convergence studies and error analysis are carried out to ensure the accuracy of present approach.

Abstract: This paper presents the Kriging model approach for stochastic free vibration analysis of composite shallow doubly curved shells. The finite element formulation is carried out considering rotary inertia and transverse shear deformation based on Mindlin’s theory. The stochastic natural frequencies are expressed in terms of Kriging surrogate models. The influence of random variation of different input parameters on the output natural frequencies is addressed. The sampling size and computational cost is reduced by employing the present method compared to direct Monte Carlo simulation. The convergence studies and error analysis are carried out to ensure the accuracy of present approach. The stochastic mode shapes and frequency response function are also depicted for a typical laminate configuration. Statistical analysis is presented to illustrate the results using Kriging model and its performance.