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

摘要

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 parame-ters. The system was discretized by using trigonometric expansions. The convergence of the solutions was stud-ied 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 non-linear forced vibration response was investigated.