基于半解析谱元法的钢轨导波频散特性分析

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中图分类号：U213.43 文献标志码：A

Abstract：This study analyses the dispersion characteristics of guided waves in rails.The semi-analytical spectral element method is proposed，and the finite element modelof guided wave propagation inrails is established. Firstly，the spectral element method was used to improve the traditional semi-analytical finiteelement method， and the characteristic equation of waveguide structure was obtained. Secondly，based on the characteristic equation，the dispersion curves of an aluminum plate were calculated，and the dispersion characteristics of guided waves were analyzed.By comparing with the analytical solution of the aluminum plate，the accuracy of semi-analytical spectral element method was verified.Subsequently，the guided wave simulation model of therail was established，and the dispersion characteristics of the guided wave in therail were investigated.Finally，guided wave experiment for the CHN60 rail was carried out by RITEC RAM-50o0 SNAP nonlinear high-energy ultrasonic wave experiment system.The experimental results show that the group velocity obtained by the proposed method is highly consistent with the group velocity measured by experiment，and the relative error is only 0.99% .Hence，the semi-analytical spectral element method has high accuracy and feasibility in the analysis of guided wave dispersion characteristics oftherails，which providesa theoretical basis for guided wave damage detection in rails.

Key words： ultrasonic guided wave; frequency dispersion characteristics; spectral element method; rail

Citation format： LUO WB，CHEN H P， LI H H，et al. Analysis on guided wave dispersion characteristics of rail through semi-analytical spectral element methods[J].JournalofEast China Jiaotong University，2O25，42（5）： 13-20.

钢轨呈现分布距离长、结构截面复杂等特点，传统的定期人工巡检方式和钢轨位移法难以全面掌握钢轨整体的使用状况[1-2]。（剩余10867字）