Numerical analysis of stick–slip induced nonlinear vibration and acoustic responses of composite laminated plates with friction boundaries

Abstract

This paper is concerned with the development of a numerical model for predicting the nonlinear structural and acoustic responses of a composite laminated plate induced by stick–slip motions. The structural model of the plate is formulated using a higher-order shear deformation zigzag theory for accommodating the analysis of both thin and relatively thick composite plates. A phenomenological macro-slip friction model is adopted to describe the stick and slip motions of the friction boundaries. The nonlinear dynamics model of the composite plate is established based on a finite element method, and the exterior acoustic fluid is modeled using a time-domain boundary element method. The nonlinear vibro-acoustic responses of the plate are calculated by considering the compatibility conditions on the common interface of the plate and the fluid. The role of the frictional forces in the vibration and sound radiation of the plate is explained. It is found that the periodical distortions of the sound pressure waves are mainly due to the stick-to-slip transitions of the friction boundary other than the slip-to-stick transitions. The effects of the preload, friction coefficient and stiffness of the boundary on the nonlinear structural and acoustic responses of composite plates are examined.