Moment Independent Sensitivity Analysis of Porous Functionally Graded Plates Subjected to Free Vibrations

This paper presents a moment-independent sensitivity analysis of porous functionally graded plates subjected to random free vibrations. This study intends to identify the parameters that have significant impacts on the output. The FE formulation employs eight-noded isoperimetric quadratic elements. Monte Carlo simulation technique is adopted with a standard Eigenvalue problem to evaluate random natural frequencies. Power law is used to describe the distribution of material properties in these structures. The study considers elastic modulus, Poisson ratio, shear modulus, and mass density as the various random input parameters, while the outputs obtained are the first three natural frequencies. To reduce evaluation time and cost, PCE model is used as a surrogate, which is also validated to demonstrate its prediction accuracy with the MCS results. The first three probabilistic natural frequencies are depicted using statistical analyses. The outcomes obtained in this study are the first known results, and can be applied in the optimal designing of structures constructed from hybrids.