Identification of Excitation Force for Under-Chassis Equipment of Railway Vehicles in Frequency Domain
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ORIGINAL PAPER
Identification of Excitation Force for Under‑Chassis Equipment of Railway Vehicles in Frequency Domain Jiangxue Chen1 · Jinsong Zhou1 · Dao Gong1 · Wenjing Sun1 · Yu Sun1 · Taiwen You1 · Yuanjin Ji1 Received: 11 July 2020 / Revised: 1 October 2020 / Accepted: 9 October 2020 © Krishtel eMaging Solutions Private Limited 2020
Abstract Purpose The excitation force of under-chassis active equipment of railway vehicles has a significant impact on the flexible vibration of the car body. Mastering the excitation force of equipment can control the vehicle body vibration more comprehensively. Methods To identify the excitation force of under-chassis equipment of railway vehicles, four frequency-based force identification methods such as least square method and Tikhonov regularization methods based on L-Curve, ordinary crossvalidation, and generalized cross-validation respectively, are studied. Results and Conclusions Laboratory test shows the effectiveness of the above identification methods. A plate model is used to analyze the influence of the measuring positions and measuring noise on the identification accuracy of different types of excitation forces. It is found that it is a suitable method to determine the optimal combination of measuring points according to the optimal condition number criterion. Based on the finite element model of the car body with under-chassis equipment, the excitation force of the under-chassis equipment is identified, and the validity of the optimal condition number criterion is verified. In addition, the results show that when the frequency response function and the responses of measuring points are disturbed by noise, the above methods show different robustness to the models with different degrees of complexity. The equipment structure of railway vehicles is complicated, which is easy to be disturbed by noise in the actual test, and the signal-to-noise ratio is small. Therefore, it may be appropriate to choose Tikhonov regularization based on the L-Curve. Keywords Under-chassis equipment · Excitation force · Identification method · Tikhonov regularization
Introduction In practical engineering problems such as vibration control, fault diagnosis, and structural optimization design, it is usually necessary to grasp the excitation force acting on the structure. With the lightweight design of railway vehicles, the problem of flexible vibration of the car body has become increasingly prominent [1, 2], in which the excitation force from equipment has become one of the important factors. Gong [3] studied the coupling vibration between the car body and the underchassis equipment that considered the temperature-dependent characteristics of rubber elements. Sun [4] showed that the excitation force from equipment has a significant effect on the vibration of the car body. When establishing the railway vehicle dynamic model, the effect of equipment excitation on the * Jinsong Zhou [email protected] 1
Institute of Rail Transit, Tongji University, Shanghai 201804, China
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