A hybrid method for analysing stationary random vibration of structures with uncertain parameters

2022 ◽  
Vol 164 ◽  
pp. 108259
Author(s):  
Fan Liu ◽  
Yan Zhao
2016 ◽  
Vol 33 (2) ◽  
Author(s):  
Pan Xiang ◽  
Yan Zhao ◽  
Jiahao Lin ◽  
D Kennedy ◽  
Fred W Williams

Purpose The purpose of this paper is to present a new random vibration-based assessment method for coupled vehicle-track systems with uncertain parameters when subjected to random track irregularity. Design/methodology/approach The uncertain parameters of vehicle are described as bounded random variables. The track is regarded as an infinite periodic structure, and the dynamic equations of the coupled vehicle-track system, under mixed physical coordinates and symplectic dual coordinates, are established through wheel-rail coupling relationships. The random track irregularities at the wheel-rail contact points are converted to a series of deterministic harmonic excitations with phase lag by using the pseudo excitation method. Based on the polynomial chaos expansion of the pseudo response, a chaos expanded pseudo equation is derived, leading to the combined hybrid pseudo excitation method - polynomial chaos expansion method Findings The impact of uncertainty propagation on the random vibration analysis is assessed efficiently. According to GB5599-85, the reliability analysis for the stability index is implemented, which can grade the comfort level by the probability. Comparing to the deterministic analysis, it turns out that neglect of the parameter uncertainty will lead to potentially risky analysis results. Originality/value The proposed method is compared with Monte Carlo simulations, achieving good agreement. It is an effective means for random vibration analysis of uncertain coupled vehicle-track systems and has good engineering practicality


2015 ◽  
Vol 135 (6) ◽  
pp. 357-365
Author(s):  
Satoshi Ihara ◽  
Hironori Itoh ◽  
Noriki Kobayashi ◽  
Yuko Inoue ◽  
Hiroaki Terato ◽  
...  

2017 ◽  
Vol 12 (2) ◽  
pp. 142
Author(s):  
Hemakumar Reddy Galiveeti ◽  
Arup Kumar Goswami ◽  
Nalin B. Dev Choudhury

AIAA Journal ◽  
2001 ◽  
Vol 39 ◽  
pp. 2001-1758
Author(s):  
Romualdo Ruotolo ◽  
Massimiliano Cotterchio

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