Stochastic Natural Frequencies of Functionally Graded Plates Based on Power Law Index

The present paper deals with the stochastic natural frequency analysis of functionally graded material (FGM) plates by employing the multivariate adaptive regression splines surrogate (MARS) model. The gradation of material properties of constitute materials is carried out by power law distribution. The variation in material properties for different value of power law index or exponent is considered as input variables, while the first three natural frequencies are considered as output responses. The MARS model is coupled with the finite element model to reduce computational time. The results of the MARS model are validated with the results obtained from the traditional Monte Carlo simulation (MCS). The statistical analysis is portrayed to describe the probability density function of natural frequencies corresponding to power law index.