MULTI-PULSE CHAOTIC DYNAMICS OF CARBON FIBER REINFORCED POLYMER LAMINATED CYLINDRICAL SHELL UNDER NON-NORMAL BOUNDARY CONDITIONS WITH 1:2 INTERNAL RESONANCE

摘要

The global bifurcation and multi-pulse chaotic dynamics of a carbon fiber reinforced polymer laminated cylindrical shell under non-normal boundary conditions with 1:2 internal resonance are studied in this paper for the first time. The extended Melnikov method is generalized to investigate the multi-pulse chaotic dynamics of the non-autonomous nonlinear dynamical system. A two-degrees-of-freedom nonlinear ordinary differential governing system of the CFRP laminated cylindrical shell under the non-normal boundary conditions is obtained by utilizing the von-Karman type nonlinear geometric relationship, the first-order shear deformation theory, Hamilton principle and Galerkin method. The extended Melnikov method here is improved to analyze the non-autonomous nonlinear dynamics system for the carbon fiber reinforced polymer laminated cylindrical shell directly. The results we obtained shows there exist multi-pulse chaotic motions of the carbon fiber reinforced polymer laminated cylindrical shell. Numerical simulations also display that the Shilnikov type multi-pulse chaotic motions can occur in the carbon fiber reinforced polymer laminated cylindrical shell.