Spatial vibration analysis of thin-walled box girders subject to moving random loads considering the shear effect

• Published in: Acta mechanica Sinica Vol. 42; no. 4
• Main Authors: Cai, Yong, Zhang, Laifu, Feng, Qiqi, Lv, Xiaoyong
• Format: Journal Article
• Language: English
• Published: Beijing The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences 01.04.2026; Springer Nature B.V
• Edition: English ed.
• Subjects: Beam theory (structures); Box girders; Classical and Continuum Physics; Computational Intelligence; Engineering; Engineering Fluid Dynamics; Euler-Bernoulli beams; Exact solutions; Integral transforms; Lateral displacement; Monte Carlo simulation; Random loads; Research Paper; Shear; Standard deviation; Statistical analysis; Theoretical and Applied Mechanics; Torsional vibration; Vibration analysis; Thin-walled box girder; Shear effect; Analytical solutions; Bending-torsional vibration; Moving random loads
• ISSN: 0567-7718; 1614-3116
• DOI: 10.1007/s10409-025-24748-x

This research provides analytical solutions to assess the bending-torsional vibration behavior of a thin-walled box girder subjected to moving random loads. The governing equations of a thin-walled box girder have been formulated to incorporate the impact of shear effect. The technique of integral transformation and the method of statistical analysis are employed to determine the average and standard deviation of the displacements at mid-span. The research’s findings are compared with the results from the Newmark- β technique and the Monte Carlo method to validate the effectiveness of the proposed strategy. By analysing the parameters, it is confirmed that neglecting the shear effect can result in substantial underestimation of lateral displacement. Compared to the Euler-Bernoulli beam theory, which does not consider the shear effect, the proposed theory shows differences of up to 109% in the average value and 213% in the standard deviation. These analysis results provide a reference for the vibration analysis of thin-walled box girders.