Dynamic Modeling of Thin-Walled Beams with Non-Rigid Connections Considering Displacement Compatibility

Yonglu Liu; Hongxiao Cong; Fei Li; Yao Du; Lei Zhang

doi:10.13206/j.gjgS25091502

Volume 41 Issue 4

Apr. 2026

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Article Navigation > STEEL CONSTRUCTION(Chinese & English) > 2026 > 41(4): 38-47

Yonglu Liu, Hongxiao Cong, Fei Li, Yao Du, Lei Zhang. Dynamic Modeling of Thin-Walled Beams with Non-Rigid Connections Considering Displacement Compatibility[J]. STEEL CONSTRUCTION(Chinese & English), 2026, 41(4): 38-47. doi: 10.13206/j.gjgS25091502

Citation:

Yonglu Liu, Hongxiao Cong, Fei Li, Yao Du, Lei Zhang. Dynamic Modeling of Thin-Walled Beams with Non-Rigid Connections Considering Displacement Compatibility[J]. STEEL CONSTRUCTION(Chinese & English), 2026, 41(4): 38-47. doi: 10.13206/j.gjgS25091502

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Dynamic Modeling of Thin-Walled Beams with Non-Rigid Connections Considering Displacement Compatibility

doi: 10.13206/j.gjgS25091502

1. Harbin Electric Corporation Marine Intelligent Company Limited, Harbin 150028, China;
2. College of Mechanical and Electrical Engineering, Hohai University, Changzhou 213200, China

Received Date: 2025-09-15
Available Online: 2026-06-08

Abstract

Abstract

Based on the one-dimensional higher-order beam theory and displacement compatibility conditions， this paper proposed a dynamic modeling method for thin-walled structures with non-rigid connections. By introducing nodal domain displacement compatibility equations and element coupling conditions， a beam-joint coupling model capable of accurately describing section distortion and flexibility effects of joint interfaces was established. This method， through establishing nodal displacement constraint relationships and stiffness integration strategies， achieved efficient characterization of higher-order modal coupling behavior while strictly ensuring kinematic consistency. Numerical examples demonstrated that the proposed model could predict the dynamic response of the structure with significantly better accuracy than traditional beam models： in the vibration analysis of the non-rigid connection structures， the errors in predicting the first nine natural frequencies did not exceed 10% ； in transient response analysis， the results were highly consistent with those of the three-dimensional shell model. Furthermore， the number of elements in this model was only about 1% of that in the shell model， significantly improving computational efficiency， and demonstrating good engineering application value in the conceptual design and parameter optimization stages of light weight thin-walled structures.
- one-dimensional higher-order beam theory,
- non-rigid connections,
- displacement compatibility,
- thin-walled structures,
- dynamic modeling

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References(29)

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