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Rotor Vibration Characteristics Considering Nonlinear Stiffness of Spigot Bolts

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Abstract

Purpose

In this paper, the spigot bolted connection structure is taken as the research object, and its nonlinear stiffness characteristics are studied, focusing on revealing the influence of the spigot on the overall stiffness characteristics of the connection structure. On this basis, the influence of the stiffness change of the bolt connection on the dynamic characteristics of the rotor system is analyzed.

Methods

The nonlinear stiffness characteristics of bolted connection structures are studied from the aspects of stress–strain analysis and finite-element numerical simulation in different stages of the structure, and the equivalent models of bending stiffness and radial stiffness are established. The finite-element model of the rotor is established using the six-degree-of-freedom Timoshenko beam element. The Newmark-β method is used to calculate the vibration response of the rotor system considering the nonlinear stiffness of the bolt connection structure.

Results

Under different tensile loads, the spigot bolted connection structure can be divided into three deformation states: spigot viscous state, front flange separation of bolt, and rear flange separation of bolt. The force on the structure is different under different deformation states, resulting in piecewise tensile stiffness nonlinear characteristics; the overall bending stiffness shows an “inverted S” shape nonlinear change law. The rotor dynamic characteristics of the spigot bolted connection structure: under small unbalance, the nonlinear characteristics of bending stiffness have not been excited, the rotor vibration is periodic vibration; under large unbalance, the nonlinear characteristics of bending stiffness are excited, and the rotor presents a complex quasi-periodic motion in a certain speed range.

Conclusion

The force on the spigot bolted connection structure is different under different deformation states, resulting in piecewise tensile stiffness nonlinear characteristics; the overall bending stiffness shows an “inverted S” shape nonlinear change law. The rotor unbalance mainly affects the excitation of the nonlinear characteristics of the bending stiffness, as the unbalance increases, the quasi-periodic vibration area moves backward, and the speed range narrows.

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Data Availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Funding

This work was supported by the National Natural Science Foundation of China (Grant No. 52272436) and National Science and Technology Major Project (J2019-IV-004-0071).

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Authors and Affiliations

  1. College of Civil Aviation, Nan**g University of Aeronautics and Astronautics, Nan**g, 210016, China

    **angxiang Shen

  2. College of General Aviation and Flight, Nan**g University of Aeronautics and Astronautics, Liyang, 213300, China

    Guo Chen

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  1. **angxiang Shen
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Correspondence to **angxiang Shen.

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Shen, X., Chen, G. Rotor Vibration Characteristics Considering Nonlinear Stiffness of Spigot Bolts. J. Vib. Eng. Technol. 12, 6703–6721 (2024). https://doi.org/10.1007/s42417-024-01279-2

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  • DOI: https://doi.org/10.1007/s42417-024-01279-2

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