Transverse vibration of laminated-composite-plates with fillers under moving mass rested on elastic foundation using higher order shear deformation theory

Usually, the laminated-composite-plates (LCPs) are strengthened by altering the constituents. The use of nano-particles as filler is a new approach in this regard. Here, flyash and graphene are used as fillers in epoxy-based woven E-glass fabric-reinforced LCPs. The LCPs are often subjected to moving mass/load in use and it becomes necessary to study their stability. Further, foundation support has an important role in structural stability. Here, the response of LCPs resting on elastic foundations to a moving load is studied. A fifth-order plate-theory based on Eringen’s non-local model for LCPS with filler is followed and validated with finite-element-analysis (FEA) and other literature. The effect of the intensity of moving mass, its position on LCP, speed, the material variant, foundation constant, and damping ratio on the dynamicity of LCPs is then reported. It is observed that masses moving on the LCP induce instability with frequency loss (FL) and increased dynamic amplitude ratio (DAR) in vibration. LCPs with the least FL and maximum DAR are more stable. Further, LCP with flyash (FLCP) is highly unstable with 18.5% FL for 10% moving load and GLCP (LCP with graphene) is the most stable (6% loss). Meanwhile, the DAR for GLCP is maximum (16.13%) at 140 m/s critical velocity of moving mass. Increasing the Pasternak co-efficient increases foundation stiffness and frequency whereas Winkler’s parameter has a negligible effect. The foundation without damping oscillates more critically (with a maximized DAR of 1.92) in comparison to the foundation with a damping ratio of 0.1 (DAR of 1.17).