“…Poursaeidi and Arhani [ 18 ] investigated the failure of an auxiliary steam turbine. Vibration fatigue damage problems [ 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 ] lead to serious structural failures, and their mechanisms are explored in investigations of the dynamic property of structures (such as natural frequency), random vibration problems and fatigue damage problems. In order to solve or avoid the problems caused by vibration fatigue, it is necessary to perform research on the vibration fatigue behaviour of structures.…”