Stochastic Free Vibration and Impact Responses of Functionally Graded Plates: A Support Vector Machine Learning Model Approach

Purpose The aim of this paper is to quantify the stochastic effect for functionally graded (FG) plate in conjunction to free vibration and impact loading. Method The variabilities in geometric and materials properties are considered. A support vector machine (SVM) is employed to construct the surrogate model. The constructed model portrays significant accuracy along with computational cost effectiveness. The output parameters are peak contact force, peak impactor displacement, and peak plate displacement for impact analysis, and the first three natural frequencies are considered for free vibration analysis. Results and Conclusions The results are portrayed in the form of probability density function (PDF), scatter, and the error plots. Sensitivity analysis is performed to know the effect of each input parameter in the present stochastic model. The integration of scale effect i.e., from micro to macro homogenization of the isotropic functionally graded plate is performed for young’s modulus, shear modulus, and Poisson’s ratio. This analysis is important for quality control at the time of design and manufacturing of such components.