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February 19, 2026Discover Mechanical Engineering0 citationsOpen Access

FEM and metamodeling-aided analysis of load-bearing capacity and Eigen frequency of large bolts with holes for sensor integration

PBPravishan BhandariAGAlexander GrafYXYakun Xu

Key Points

  • Evaluate the load-bearing capacity and eigen frequency of sensory bolts, addressing the integration of sensors.
  • Developed a weighted average load-carrying-capacity parameter using FE simulation.
  • Created a predictive metamodel with the Kriging approach to optimize simulation time.
  • Conducted modal analysis through FEM to assess eigen frequency related to structural integrity.
  • Optimized hole height for sensor integration without exceeding threshold radius.
  • Standard size electronics reduced load capacity of sensory bolts by 65%.
  • Characterized the relationship between load-bearing capacity degradation and bolt eigen frequency.

Abstract

Abstract The transformation of a standard conventional bolt to a standard sensory bolt represent challenges because of the conflict between sensory and mechanical functions such as size of the hole, which must be large enough to integrate sensors and electronics, yet small enough to maintain the load bearing capacity and structural integrity. This work introduces a weighted average load-carrying-capacity parameter for bolts used in wind turbines. This parameter, determined through FE simulation, is based on three key factors: maximum stress, maximum plastic strain, and dissipated plastic energy. To reduce the time and computational demands of FE simulation-based optimisation, a predictive metamodel using the Kriging approach was developed. This model provides insights into the degradation of the bolts’ load-bearing capacity. Through optimization, it was found that the height of the lower hole, where the sensor is integrated, could be flexibly chosen provided that its radius was below some threshold value and the use of electronics of standard size already reduced the load capacity of the sensory bolt by 65%. Finally, a short FEM based modal analysis was done to characterize the sensory bolt’s eigen frequency, shedding light on the interplay between the mass loss and the boundary stiffness of the preloaded bolt. Graphical abstract

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Cite This Study

Bhandari et al. (2026) studied this question.

synapsesocial.com/papers/6996a8c7ecb39a600b3efd45https://doi.org/10.1007/s44245-025-00178-4
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