Research on the Vertical Amplitude-dependent and Frequency-dependent Mechanical Model of the Primary Conical Rubber Springs for Railway Vehicles

doi:10.3901/JME.2025.20.293

Abstract

Abstract: Rubber springs exhibit significant nonlinear dynamic characteristics under different vibration frequencies. As suspension components, rubber spring can attenuate the transmission of vibration effectively. Accurate simulation of nonlinear dynamic characteristics at high frequencies is crucial for improving the prediction of vehicle dynamic performance under complex working conditions. In order to estimate the strong nonlinear characteristics of the primary conical rubber springs in the medium-high frequencies (10～80 Hz) accurately, to establish the vertical amplitude-dependent and frequency-dependent mechanical model, obtaining a frequency-dependent fractional differential model which can simulate the frequency-dependent characteristics by changing the fractional order, then propose a modified static model to modify the vertical deformation of conical rubber springs and parallel the Berg friction model. Through vertical dynamic test of the primary conical rubber springs at different loading frequencies and loading amplitude, the relevant parameters of the vertical amplitude-dependent and frequency-dependent mechanical model can be obtained from the experimental data. Finally, comparing the simulation results with the experimental data under different loading conditions. It is shown that the dynamic stiffness of the primary conical rubber springs decreases with increasing vibration amplitude and shows a significant upward trend with increasing vibration frequency; frequency-dependent fractional differential model can estimate the dynamic characteristics of rubber under high-frequency as well as low-frequency conditions by contrast with the constant fractional differential model; the proposed vertical amplitude-dependent and frequency-dependent mechanical model can estimate the amplitude and frequency variation characteristics of the dynamic performance of conical springs accurately.

Key words: conical rubber, dynamic characteristics, high-frequency, frequency-dependent fractional order

CLC Number:

U270

ZHOU Di, DAI Liangcheng, CHI Maoru, ZENG Pengcheng, LI Xuyang, ZHENG Yang. Research on the Vertical Amplitude-dependent and Frequency-dependent Mechanical Model of the Primary Conical Rubber Springs for Railway Vehicles[J]. Journal of Mechanical Engineering, 2025, 61(20): 293-300.

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