PEM-based random vibration analysis under service-braking conditions on an irregular track

• Published in: Engineering computations Vol. 40; no. 9/10; pp. 3055 - 3074
• Main Authors: Liu, Xiaoxue, Liu, Yuchen, Zhang, Youwei, Guo, Hanfei
• Format: Journal Article
• Language: English
• Published: Bradford Emerald Publishing Limited 05.12.2023; Emerald Group Publishing Limited
• Subjects: Algorithms; Braking; Efficiency; Equations of motion; Excitation; Gaussian process; Irregularities; Multibody systems; Power spectral density; Random processes; Random vibration; Springs (elastic); Stationary processes; Structural response; Time domain analysis; Traffic speed; Vehicles; Vibration analysis; Coupled vehicle-track system; Pseudo-excitation method; Service-braking; Random vibration
• ISSN: 0264-4401; 1758-7077
• DOI: 10.1108/EC-01-2023-0034

PurposeAccording to relevant research, non-uniform speed has a significant impact on the vehicle-track systems. Up to now, research work on it is still very limited. In this paper, the PEM is adopted to further transform it into a deterministic process to solve the vehicle’s problem of running at a non-uniform speed.Design/methodology/approachThe multi-body vehicle model has 10 degrees of freedom and the track is regarded as a finite long beam supported by lumped sleepers and ballast blocks. They are connected via linear Hertz springs. The vertical track irregularity is a Gaussian stationary process in the space domain. It is transformed into a uniformly modulated nonstationary random process in the time domain with respect to the non-uniform vehicle speed. By solving the equation of motion of the coupled vehicle-track system with the pseudo-excitation method, the pseudo-response and consequently the power spectral density and the standard deviation of the structural response can be obtained.FindingsTwo kinds of vehicle braking programs are taken in the numerical example and some beneficial conclusions are drawn.Originality/valueThe pseudo-excitation method (PEM) was used to perform the random vibration analysis of a coupled non-uniform speed vehicle-track system. Transforming the track irregularity into a uniformly modulated nonstationary random process in time domain with respect to the non-uniform vehicle speed was undertaken. The pseudo-response of the coupled system is solved by applying the Newmark algorithm with constant space integral steps. The random vibration transfer mechanism of the coupled system is fully discussed.