EFFECT OF EXCITATION AMPLITUDE ON DYNAMICS OF POST-BUCKLED RECTANGULAR COMPOSITE PLATE

摘要

Buckled laminated composite plate behavior not only exhibits quadratic and cubic non-linearity but also parametric and forced excitation when it is subjected to in-plan dynamic loading. A rectangular simply supported symmetric cross-ply laminated composite plate is studied. The effect of the excitation amplitude on the chaotic behavior of the rectangular laminated plate undergoing dynamic buckling is investigated. The bifurcation diagrams and the bifurcation parameter (forcing frequency) ranges for the chaotic motion are obtained. Fundamental and sub-harmonic resonances are studied. The results show that the excitation amplitude has a good effect on the behavior of the laminated composite plat during the process of dynamic post-buckling. Hamilton's Principle, Galerkine Method, and Lagrangian Equation are used to obtain the equations of motion. Transverse shear deformation (nonlinear higher-order shear deformation theory), Geometric non-linearitiy and In-plane inertia and rotary inertia are considered. Differential equation of one-degree of freedom with quadratic and cubic non-linearities as well as parametric and harmonic excitation terms is stated. Controlling the chaos rang by adding damping foil layer is studied as well. The equation has been integrated numerically by utilizing MATLAB.