Frequency domain vibration characteristics of vehicle-track structure based on the spectral geometry method

WU Shenhua1, 2, LEI Xiaoyan1, YU Cuiying2

Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (12) : 101-109.

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (12) : 101-109.
VIBRATION THEORY AND INTERDISCIPLINARY RESEARCH

Frequency domain vibration characteristics of vehicle-track structure based on the spectral geometry method

  • WU Shenhua1,2,LEI Xiaoyan*1,YU Cuiying2
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Abstract

[purpose]In order to research the full frequency domain vibration problem of vehicle-track structure,[method] a dynamic model and algorithm for the vehicle-ballastless track structure coupling system is constructed based on the spectral geometry method.The Rayleigh-Ritz method is applied to derive the stiffness matrix,damping matrix,mass matrix of the track structure spectral geometry element and coupling virtual spring stiffness matrix between elements.The dynamic equation of the vehicle-track structure coupling system is solved by the spectral geometry method,and the vibration response of the vehicle track structure in the full frequency domain is obtained.The influence of track structure element size on convergence and computational efficiency is analyzed,and the range of virtual spring stiffness coefficients for the rail,slab,and support layer is discussed.Compared with the finite element method,the correctness and efficiency of the spectral geometry method is verified.As an application example,the vibration response of the vehicle-track structure coupling system is analyzed under the excitation of random track irregularities.[result]The research results indicate that,while ensuring computational accuracy,larger track structure element sizes for calculation can be used by spectral geometry method,while smaller track structure element sizes can be used by finite element method,Therefore,the computational efficiency of spectral geometry method is much higher than that of finite element method;When the element sizes are 3.25m and 6.5m,the computational efficiency of the spectral geometry method is higher,which can be used as the reference element sizes for analyzing the dynamic problems of vehicle-track structure coupling systems based on the spectral geometry method;The reasonable value for the virtual spring stiffness of the rail, slab,and support layer is greater than or equal to 105 times the bending stiffness of the corresponding components.The displacement amplitude frequency curves of the car body and bogie alternate with numerous peaks and valleys,which are caused by the phase difference of track irregularity excitation between the four wheel sets for the vehicle system;The frequency at the valley of the vertical displacement amplitude frequency curve of the car body and bogie corresponds to the fixed distance filtering and wheelbase filtering frequencies of the vehicle respectively.[Conclusion]The research results offer an efficient and accurate numerical method for solving the dynamic problems of vehicle-track structure coupling systems in the full frequency domain,and provide technical support for vibration reduction analysis and design of vehicle-track structure systems.

Key words

Spectral geometry method;Vehicle-track structure coupling systems;Ballastless track structure / Full frequency domain;Virtual spring. 

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WU Shenhua1, 2, LEI Xiaoyan1, YU Cuiying2. Frequency domain vibration characteristics of vehicle-track structure based on the spectral geometry method[J]. Journal of Vibration and Shock, 2025, 44(12): 101-109

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