The dynamic properties of the model of vibrating screen are obtained using the software Pro/ MECHANICA. The natural frequencies and mode shapes of the screen are calculated, and the distribution law of dynamic stress is found out. It shows that the structure design of the screen is reasonable. Under the working conditions designed, its dynamic strength is satisfied. This paper provides engineering estimates of non-linear fracture mechanics parameters for vibrating screen arthropleure cracks, subject to alternate stress and Vibrating. Solutions are given in the form of two different approaches.