On quantifying the effect of noise in radial basis function based stochastic free vibration analysis of laminated composite beam

This paper presents the effect of noise on Radial basis function (RBF) based stochastic natural frequency analysis of thin-walled laminated composite beams. The RBF based method is built up on the basis of information acquired regarding the behaviour of the response quantity throughout the entire design space utilizing few algorithmically chosen design points The crucial issue of expensive computation involved in uncertainty quantification of composite structures and the development of radial basis function based uncertainty quantification algorithm to mitigate this lacuna. On the other hand, noise is an inevitable factor in every real life design methods and structural response monitoring for any practical systems. In this paper, a novel algorithm is developed to explore the effect of noise in surrogate based uncertainty quantification methods. The probability distributions for higher modes of natural frequencies (first eight) corresponding to the bending modes has been calculated. The study reveals that stochasticity/ system irregularity in structural and material attributes influences the system performance remarkably. To ensure robustness, safety and sustainability of the structure, it is very crucial to consider such forms of uncertainties during the analysis. The proposed method for quantifying the effect of noise for the proposed computationally efficient RBF based framework in this paper is general in nature and therefore, it can be further extended to explore other surrogate based approach of uncertainty quantification under the influence of noise.