Acquiring the High-Precision Spectrum of Track Irregularity by Integrating Inclination in Chord Methods: Mathematics, Simulation, and a Case Study

Pengjiao Wang, Fengqi Guo (), Hong Zhang, Junhui Jin, Qiaoyun Liao and Yongfeng Yan
Additional contact information
Pengjiao Wang: School of Civil Engineering, Central South University, Changsha 410075, China
Fengqi Guo: School of Civil Engineering, Central South University, Changsha 410075, China
Hong Zhang: College of Mechanical and Intelligent Manufacturing, Central South University of Forestry and Technology, Changsha 410075, China
Junhui Jin: Zhuzhou CRRC Special Equipment Technology Co., Zhuzhou 412001, China
Qiaoyun Liao: Zhuzhou CRRC Special Equipment Technology Co., Zhuzhou 412001, China
Yongfeng Yan: Zhuzhou CRRC Special Equipment Technology Co., Zhuzhou 412001, China

Mathematics, 2024, vol. 12, issue 14, 1-21

Abstract: Accurate measurement of track irregularity and the corresponding spectrum is essential for evaluating the performance of transportation systems. Chord measuring methods can achieve fine accuracy but are limited by waveform distortion and a restricted range of recoverable wavelength. To address this, this work explores the effectiveness of integrating inclination data in chord-based measurement to obtain a higher precision and more reliable spectrum. Firstly, the theoretical principles and mathematics of the proposed method are described. We demonstrate that by utilizing inclinometer sensors, the measuring reference can be maintained throughout the measurement, therefore obtaining an authentic waveform of track irregularity. Adaptive technics are employed to examine and extract cumulative components in the measured signal, which also benefits the accuracy of spectral estimation. Error analysis is then conducted by simulated sampling. Furthermore, a case study of field measurement and numerical simulation via multi-body dynamics for a monorail system is presented. The results verify the accuracy and robustness of the proposed method, showing that it provides a broader range of recoverable wavelength, minimum parametric interference, and advantages of signal authenticity. The simulation results prove the significant effects of track irregularity on the dynamic response of the monorail system, hence revealing the value of the presented methods and results.

Keywords: track irregularity; measurement; inclination; chord reference methods; trend extraction; monorail transit systems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/14/2197/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/14/2197/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:14:p:2197-:d:1434302

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().