Chaos prediction in nonlinear viscoelastic plates subjected to subsonic flow and external load using extended Melnikov's method

摘要

Chaotic behavior of the viscoelastic plates subjected to subsonic flow and simultaneous external excitation is studied in this paper. The equation of motion of the plate is derived using the von-Karman theory. Galerkin's approach is adopted as the solution method. Corresponding extended Melnikov's integral is obtained for the non-Hamiltonian system by numerical and analytical approaches. A parametric study is carried out, and effects of different parameters such as linear and nonlinear stiffness and structural damping on the chaotic behavior of the dynamical system are investigated. Chaos thresholds are obtained, and the correlation between the analytical and numerical results is evaluated.