In this paper, an inverse bi-harmonic axisymmetric elasticity problem is solved by invoking measured out-of-plane surface deformation values at discrete locations around a preloaded bolt head, in order to calculate the under head contact stress and joint clamp load that would have caused that out-of-plane surface deformation. Solution of this type of inverse problem promises to improve the automation process of bolted joint system assembly, especially in critical and safety related applications. For example, a real-time optically measured joint surface deformation can be utilized for automating process control of bolted joint assembly in a reliable fashion. This would be a significant reliability improvement as compared to the commonly used method in mass production using torque-only control method in which there is wide scatter in the torque-tension correlation due to the normal scatter in frictional variables. Finite Element Analysis (FEA) method is used to validate the inverse problem solution provided in this paper.
Inverse Solution for Bolt Preload Using Joint Surface Deformation
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Zaki, AM, Nassar, SA, Shillor, M, & Kruk, S. "Inverse Solution for Bolt Preload Using Joint Surface Deformation." Proceedings of the ASME 2013 Pressure Vessels and Piping Conference. Volume 2: Computer Technology and Bolted Joints. Paris, France. July 14–18, 2013. V002T02A031. ASME. https://doi.org/10.1115/PVP2013-97145
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