Vibration of multi-layered bands with interfacial imperfection

A new laminate model is presented for the dynamic analysis of laminated band. The bond between any two adjacent layers is assumed either perfect or imperfect, which is uniformly described by a general spring-layer model. The differential equations which govern the free vibrations of a band and the associated boundary conditions are derived by Hamiltonʹs principle considering bending, shear and normal deformation of all layers. The author used a new iterative process to successively refine the stress/strain field in the layers. The model includes the effects of transverse shear and rotatory inertia. The iterative model is used to predict the modal frequencies of simply supported laminated band. Numerical examples are finally considered and discussed.