Impact of in-plane follower force on the frequency response of the hybrid angle-ply laminated system via dynamic simulation and generalized differential quadrature framework

Central concern of this article is presenting the high-exactitude analysis on hygro-thermo-mechanical vibration of three-phase multi-scale hybrid composite angle-ply laminated rectangular plate (MHCALRP) for different couples of boundary conditions within the context of twelve-variable refined higher order shear deformation theory (RHOSDT12). Defining the kinematics of the system according to RHOSDT12 is the essential step toward achieving sufficient accuracy in elucidation of vibrational behavior of moderately thick plates. Mechanical properties of MHCALRP are calculated through two-step Halpin–Tsai homogenization process. Numerical solution to the governing differential motion equations is acquired by implementing generalized Differential quadrature method (GDQM). Accuracy of the employed approach is evaluated by a comparative study with the published studies. As a practical conclusion it is revealed that the orientation angle of the macrofibres can effectively compensate the lack of nano reinforcement as well as the absence of extensional load to overcome negative impacts of hygrothermal environment in an affordable cost. The influence of extensional load along two directions, nano/macro scale reinforcements and hygro-thermal environment on the vibrational response of the MHCALRP is completely elucidated through the parametric investigation.