Nonlinear forced vibrations of laminated composite conical shells by using a refined shear deformation theory

Nonlinear forced vibrations of laminated composite conical shells are investigated by using a higher-order shear deformation theory that includes rotary inertia and geometric nonlinearity in all the kinematic parameters. The system was discretized by using trigonometric expansions. The convergence of the solutions was studied versus the number of degrees of freedom retained in the model. The nonlinear vibration response of laminated composite conical shells to harmonic excitation was studied for different cone angles: hardening and softening response were found according to the geometry. Due to the axial symmetry, a one-to-one internal resonance appeared, as well as quasi-period vibrations. The effect of different lamination sequences on the nonlinear forced vibration response was investigated.