Dynamic Analysis of Bolted Rotor Systems using CUF-Based Beam Models and Interface Friction Modelling
Rodolfo AZZARA, Yulian JIANG, Matteo FILIPPI, Chaofeng LI, Erasmo CARRERA
Abstract. Bolted joints are widely employed in high load rotor systems such as aero-engines, where frictional stick-slip at the interfaces significantly influences the system’s dynamic response. These nonlinear effects cannot be captured adequately by conventional linearized stiffness models. To address this limitation, a high fidelity structural model of bolted rotor systems is developed using the Carrera Unified Formulation (CUF). CUF provides a procedure for automatically and hierarchically obtaining lower- and higher-order one-dimensional beam models. The linearized equations of motion include the Coriolis and initial stress contributions. A frictional contact model is integrated to capture the time varying stick-slip behavior at bolted interfaces. The proposed CUF-based methodology with bolted-interface friction modelling provides an effective tool for analyzing bolted rotor systems and offers valuable insights for the design of bolted joints in rotating machinery.
Keywords
CUF, FEM, Higher-Order Beam Models, Rotordynamics, Bolted Joints, Stick-Slip
Published online 11/8/2026, 4 pages
Copyright © 2026 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: Rodolfo AZZARA, Yulian JIANG, Matteo FILIPPI, Chaofeng LI, Erasmo CARRERA, Dynamic Analysis of Bolted Rotor Systems using CUF-Based Beam Models and Interface Friction Modelling, Materials Research Proceedings, Vol. 73, pp 294-297, 2026
DOI: https://doi.org/10.21741/9781644904459-57
The article was published as article 57 of the book Mechanics of Advanced Materials and Structures
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
References
[1] Nguyen-Hoang M., and Becker W., 2020. Tension failure analysis for bolted joints using a closed-form stress solution. Composite Structures, 238, 111931. https://doi.org/10.1016/j.compstruct.2020.111931
[2] Yang, T., Ma, H., Qin, Z., Guan, H., and Xiong, Q., 2022. Coupling vibration characteristics of the shaft-disk-drum rotor system with bolted joints. Mechanical Systems and Signal Processing, 169, 108747. https://doi.org/10.1016/j.ymssp.2021.108747
[3] Sharos, P.A., and McCarthy, C.T., 2020. Novel finite element for near real-time design decisions in multi-fastener composite bolted joints under various loading rates. Composite Structures, 240, 112005. https://doi.org/10.1016/j.compstruct.2020.112005
[4] Wu, B., Wang, T., Xu, C., and Xu, B., 2010. Finite element analysis of behavior of bolted flange connections under bending loading. Applied Mechanics and Materials, 26, 1168-1171. https://doi.org/10.4028/www.scientific.net/AMM.26-28.1168
[5] Carrera, E., Cinefra, M., Petrolo, M., and Zappino, E., 2014. Finite element analysis of structures through unified formulation. John Wiley & Sons. https://doi.org/10.1002/9781118536643
[6] Azzara, R., Filippi, M., and Carrera, E., 2024. Geometrically nonlinear transient analyses of rotating structures through high-fidelity models. Composite Structures, 343, 118265. https://doi.org/10.1016/j.compstruct.2024.118265
[7] Jiang, Y., Zhao, Y., Cao, H., Li, C., and Zhou, J., 2025. Dynamic modeling of a shaft-disk system considering bolted interface friction. International Journal of Mechanical Sciences, 297, 110332. https://doi.org/10.1016/j.ijmecsci.2025.110332

