Finite element modelling for vibration response of cracked stiffened FGM plates

Abstract

This paper presents the new numerical results of vibration response analysis of cracked FGM plate based on phase-field theory and finite element method. The stiffener is added into one surface of the structure, and it is parallel to the edges of the plate. The displacement compatibility between the stiffener and the plate is clearly indicated, so the working process of the structure is described obviously. The proposed theory and program are verified by comparing with other published papers. Effects of geometrical and material properties on the vibration behaviours of the plate are investigated in this work. The computed results show that the crack and stiffener have a strong influence on both the vibration responses and vibration mode shapes of the structure. The computed results can be used as a good reference to study some related mechanical problems.