Nonlinear Dynamical Analysis of a Breathing Crack Plate Based on Structural Intensity Method

Abstract

A Breathing crack is one of the most common damage in plate structures. When a plate vibrates, the breathing crack will produce the open and closing movement, and the structure has nonlinear dynamic response characteristics. In this paper, the contact nonlinearity of a plate structure with a breathing crack is considered, and the nonlinear vibration of the breathing cracked plate is analyzed. The structural intensity is studied under dynamic excitation and the surface structural intensity vector field of the structure is determined. The position and shape of the crack are identified by the structural intensity maps, which provide a theoretical basis for the damage identification of cracked structures with a breathing crack.