Dynamic Nonlinear Buckling Of Viscoelastic Plate Allowing For Higher Order Modes

The chaotic theory is employed to investigate the dynamic stability of viscoelastic plate with geometry nonlinearity. The influence of high order modes on buckling of viscoelastic plate is considered. The dynamic buckling of viscoelastic plates subject to in-plane periodic load is studied. The von-Karman nonlinear geometry equations are introduced and the linear viscoelastic model is employed. For the sake of obtaining more accurate result, the deflection is described as a trigonometric series with 4 terms instead of single term. The sign of the biggest Lyapunov exponent of the motion is employed to determine the stability of viscoelastic plate. Comparison is made between the 4 items results and 1 term results.