Vibrations of Stepped Plate Strips with Cracks

摘要

An approximate method is suggested for the vibration analysis of elastic plate strips. The strips supported at two opposite edges and free at the other edges are of piece wise constant thickness. It is assumed that stable part-through cracks are located at the reentrant corners of steps. Making use of the basic concepts of the fracture mechanics a method for determination of eigenfrequencies of stepped plates with cracks is developed. The influence of a crack on the behavior of the strip is modeled as a change of the local flexibility or as a distributed line spring. Numerical results are presented for strips with cracks and without any crack subjected to the tension applied at an edge of the strip.