Abstract
Internal resonance of thin rectangular laminated plates with degenerate modes is investigated using the method of multiple scales. The plates are assumed to be simply supported along all edges, and both movable and immovable edge conditions are considered. In order to use the method of multiple scales properly, the definition of the detuning parameter σ, which expresses the relationship between the linear natural frequency ω and the driving frequency Ω, is changed from Ω=ω+εσ to Ω2=ω2+εσ. The influence of the lamination sequence and the edge conditions on two-mode responses of the plates is shown. The accuracy of the analytical results is confirmed by comparing them with results of numerical integration of the equation of motion. Furthermore, it is shown that the two-mode responses that lose stability via a Hopf bifurcation lead to chaotic motion.
