LAUSR

The global bifurcations and chaotic motions in mode interaction of a composite laminated cylindrical shell subjected to complex loads are investigated in the case of 1 / 2 sub-harmonic resonance for the first-order mode, primary resonance for the second-order mode and 1:2 internal resonance. The energy-phase method is implemented to analyze the global dynamics of the shell. The analytical results illustrate that there exist Shilnikov-type multi-pulse jumping orbits for the resonant case homoclinic to certain invariant sets in both Hamiltonian and dissipative perturbations which lead to chaos in the system. Homoclinic trees which represent the repeated bifurcations of multi-pulse solutions are found. The diagrams also demonstrate the reducing of pulse numbers and the homoclinic tree break up gradually as the dissipation factor is increased. Numerical evidence of chaotic behaviors is presented to verify the theoretical predictions.