“…Bertini et al (2008) and Santus et al (2008Santus et al ( , 2018 responses of whirl on the drill collar; furthermore, the bending cumulative fatigue at the connection was investigated based on the Miner method, and the results indicated that vibration is a major cause of connection fatigue. When using a sonic drill for drilling, the length of the drill string varies as the borehole is extended, and each point in the drill string is subjected to variable-amplitude loads (Bu et al, 2015). When the stress level exceeds the fatigue limit of the drill string material, each cycle causes damage to the drill string.…”