Stochastic FEM-based thermally buckled natural frequency of composite plate reinforced with date seed natural filler on elastic foundations using a perturbation approach

Natural fillers and fibers exhibit high variability in their mechanical properties, while traditional deterministic FEM is unable to capture this inherent uncertainty in composite materials. The uniqueness of the presented work lies in its integration of a stochastic thermally induced free vibration of an elastically supported multiphase composite plate (ESMPCP) reinforced with date seed powder and short glass fiber on elastic foundations. The stochastic natural frequencies characterized by mean and coefficient of variation (COV) have been computed numerically for the first time using a MATLAB code based on a finite element model, first-order perturbation technique (FOPT), and first-order shear deformation theory (FSDT). The effective elastic properties of ESMPCP were predicted using the Mori–Tanaka and Halpin–Tsai models. Various random parameters are investigated for their impact on the vibrational characteristics. Findings show that increasing the shear parameter ([Formula: see text]) leads to a 67.8% rise in the mean frequency of ESMPCP, reflecting the better resistance against vibration of the shear parameter relative to the Winkler parameter ([Formula: see text]) alone. Also, increasing the date seed filler content (10–40%) raises the mean frequency by about 40% and decreases the COV, making it suitable for vibration-sensitive applications.