Applied Mathematics and Mechanics >
A new analytical model of bolted flange structures in the rotor system and its verification
Received date: 2025-07-10
Revised date: 2025-09-08
Online published: 2025-10-29
Supported by
Project supported by the National Defense Technology Foundation Under the State Administration of Science, Technology, and Industry for National Defense of China (No. JSZL2022213A001) and the Special Funds for Basic Research in Central Universities of China (No. HYGJZN202322)
Copyright
The bolted flange structure finds significant applications in fields such as aerospace, shipbuilding, and pipeline transportation. The investigation of its dynamic characteristics has consistently been a focal point for researchers; however, there remains a deficiency in the development of robust analytical models. This paper introduces a novel analytical model based on the finite element methods and the Timoshenko beam theory to accurately simulate the bolted flange structure. The stiffness, mass, damping, and inertia matrices of the rotor system are individually derived, and the dynamic equation is subsequently formulated. The model’s validity and accuracy are validated through both the experimental testing and the finite element analysis. This study aims to elucidate the relationship between the external loads and the influence of the geometric configuration on the stiffness and contact behavior of the bolted flange structure, thereby enabling a thorough and precise prediction of the static and dynamic load transfer pathways, as well as the distribution of vibrational energy within the structure, while also facilitating the incorporation of friction and slip effects. Simultaneously, this work provides a foundational framework for the optimization design of bolted flange structures, addressing the factors such as the number, size, and geometric distribution of bolts.
Key words： bolt flange structure; non-uniform beam; dynamical model; model test
Jin CHEN , Kuan LU , Haopeng ZHANG , Wentao ZHANG , Xiaohui GU , Chao FU , Shanmin TUO . A new analytical model of bolted flange structures in the rotor system and its verification[J]. Applied Mathematics and Mechanics, 2025 , 46(11) : 2115 -2134 . DOI: 10.1007/s10483-025-3312-7
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