Abstract
This paper presents the response of clamped laminated shallow shells with an internal resonance ω_1 ≈ ω_2, where ω_1 and ω_2 are the linear natural frequencies of the symmetric and asymmetric first vibration modes, respectively. The displacements are expressed using eigenvectors for linear vibration modes calculated by the Ritz method. Applying Galerkin's procedure to the equation of motion, non-linear differential equations are derived. The shooting method is used to obtaine the steady-state response when the driving frequency Ω is near ω_1. The modal interaction between the symmetric and asymmetrc modes is discussed.
