Snap-through and nonlinear oscillations of bistable asymmetric FCSS composite laminated square plate subjected to excitation: Theoretical, numerical and experimental researches

摘要

? 2022 Elsevier LtdThis paper proposes the theoretical, numerical and experimental researches on the dynamic snap-through phenomena and nonlinear oscillations of the bistable asymmetric composite laminated square thin plate under the foundation excitation and novel boundary support. The boundary conditions of four corner simply-support (FCSS) are designed. The displacement solutions satisfying the boundary conditions are assumed to describe various nonlinear oscillations of the bistable asymmetric composite laminated square thin plate under the foundation excitation. According to the third-order shear deformation theory (TSDT), von-Karman nonlinear strain displacement relations and virtual work principle, the nonlinear differential governing equation of motion are theoretically derived for the bistable asymmetric composite laminated square thin plate. Based on Hamilton principle, the nonlinear ordinary differential equations of motion for the curvatures in different directions are obtained. Numerical simulations are used to analyze the interesting snap-through phenomena and nonlinear oscillations of the bistable asymmetric FCSS composite laminated thin plate. The influences of the amplitude and frequency for the basic excitation on the snap-through are discussed. It is seen that under a certain external excitation, the bistable plate goes through the single stable, periodic snap-through and chaotic snap-through oscillations. The experimental platform of the bistable asymmetric composite laminated thin plate is established with four corner simply-support under the foundation excitation. Through the vibration experiments, the dynamic snap-through phenomenon and nonlinear oscillations are studied for the bistable asymmetric FCSS laminated composite square thin plates.