Stochastic FEM based Thermally Buckled Natural Frequency of Composite Plate Reinforced with Date Seed Natural Filler on Elastic Foundations Using a Perturbation Approach

This paper presents a stochastic thermally induced free vibration of elastically supported multiphase composite plate (ESMPCP) reinforced with date seed natural filler on elastic foundations using perturbation method. The ESMPCP rests on a two-parameter Pasternak elastic foundation. The governing equations are formulated using First-Order Shear Deformation Theory (FSDT) with Moritanaka and Halpin Tsai model. The stochastic response, characterized by the mean and coefficient of variation (COV) of natural frequencies, is evaluated using the Stochastic Finite Element Method (SFEM) based on a First Order Perturbation Technique (FOPT). Key parameters such as date seed and short glass fiber volume fractions, plate thickness, plate aspect ratio, temperature increments, foundation parameters, frequency modes and supports conditions are investigated in terms of their influence on the vibrational characteristics numerically first time with the help of inhouse MATLAB code. The developed MATLAB based computational framework is validated through Monte Carlo Simulations (MCS) and also compared with available literature. It shows strong agreement, demonstrating the robustness and accuracy of the proposed methodology. The findings shows that date seed filler reinforced polymer matrix composites lead to higher natural frequencies making it suitable for lightweight and vibration sensitive applications.