A mathematical model is proposed for studying the vibration induced loosening of threaded fasteners that are subjected to harmonic transverse excitation, which often causes slippage between the contact surfaces between engaged threads and under the bolt head. Integral equations are derived for the cyclic shear forces as well as the bearing and thread friction torque components. They depend on the ratio of the relative rotational to translational velocities. The relationship between the dynamic thread shear force and bending moment is developed. When the external transverse excitation is large enough, it causes the threaded fasteners to loosen. Numerical results show that the dynamic transverse shear forces on the underhead contact surface, and between the engaged threads, decrease the bearing, and thread friction torque components. The effect of bolt preload, bearing and thread friction coefficients, the amplitude of the harmonic transverse excitation, and the bolt underhead bending on the bolt loosening are investigated. Experimental verification of the analytical model results of the bolt twisting torque is provided.
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April 2009
Research Papers
A Mathematical Model for Vibration-Induced Loosening of Preloaded Threaded Fasteners
Sayed A. Nassar,
Sayed A. Nassar
Fastening and Joining Research Institute, Department of Mechanical Engineering,
Oakland University
, Rochester, MI 48309
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Xianjie Yang
Xianjie Yang
Fastening and Joining Research Institute, Department of Mechanical Engineering,
Oakland University
, Rochester, MI 48309
Search for other works by this author on:
Sayed A. Nassar
Fastening and Joining Research Institute, Department of Mechanical Engineering,
Oakland University
, Rochester, MI 48309
Xianjie Yang
Fastening and Joining Research Institute, Department of Mechanical Engineering,
Oakland University
, Rochester, MI 48309J. Vib. Acoust. Apr 2009, 131(2): 021009 (13 pages)
Published Online: February 18, 2009
Article history
Received:
November 12, 2007
Revised:
July 1, 2008
Published:
February 18, 2009
Citation
Nassar, S. A., and Yang, X. (February 18, 2009). "A Mathematical Model for Vibration-Induced Loosening of Preloaded Threaded Fasteners." ASME. J. Vib. Acoust. April 2009; 131(2): 021009. https://doi.org/10.1115/1.2981165
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