Vibration analysis of layered curved arch

This paper is devoted to modelling vibration of layered curved circular arch with perfect or imperfect bonding between any two adjacent layers. The author has developed an efficient iterative process to obtain accurate determination of the stress and displacement fields for “stress critical” calculations such as damping and delamination. The differential equations which govern the free vibrations of a circular ring segment and the associated boundary conditions are derived by Hamiltonʹs principle considering shear deformation and normal deformations of all layers. The interfacial perfectly or weakly bonding conditions and free traction conditions on the lateral surfaces are ensured. For the imperfect bonding, a general spring-layer model is adopted. The author used a new iterative process to successively refine the stress/strain field in the sandwich arch. The new models are used to predict the modal frequencies and damping of layered curved arch with perfect or imperfect bonding between any two adjacent layers. The solutions for a three layer circular arch are compared to a three layer approximate model.