This study focuses on investigating the mechanism of bolt loosening under harmonic vibration. An implicit monitoring method of bolt loosening based on strain detection is proposed. By conducting simulations on a PCB (Printed Circuit Board) structure with fastening bolts base on the implicit method, a three-stage peculiarity for bolt loosening is established under harmonic vibration. Under different tightening torques, distinct effecting trends of the two excitation parameters of excitation amplitudes and frequencies on the strain response are indicated comprehensively. The comprehensive effect mechanism of the excitation amplitudes and frequencies on bolt loosening is investigated, and the results reveal that when the tightening torque is small, the excitation amplitude has a main impact on the strain RMS, while when the tightening torque is larger, the excitation frequency plays a major role. A bolt loosening peculiarity based on strain monitoring is provided for different excitation frequencies, amplitudes accompanied with different tightening torques under harmonic vibration. In practical application, the RMS value of the strain response of the monitored point is calculated and then compared with the three-stage loosening peculiarity to determine whether the bolt is loosen or not. The simulation analysis and test verification on a four-bolt connection structure are conducted based on the implicit method under harmonic vibration, and the good consistency is shown. Valuable insights for the detection and prevention of bolt loosening are provided, which have important engineering reference significance.
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