Analysis of Static and Dynamic Track Irregularities on Kilometer-Level High-Speed Railway Bridges Based on Fractal Theory

The track geometry condition of a kilometer-level high-speed railway (HSR) bridge can have a significant impact on the ride quality of high-speed trains. This paper presents a comprehensive analysis of static and dynamic track irregularities on kilometer-level HSR bridges using fractal theory. The study focuses on exploring the relationship between different measurement methods for static track irregularities and dynamic track irregularities in various frequency bands. The analysis involves preprocessing the data, calculating chord measurements using the midpoint chord method, and determining the fractal dimensions of static and dynamic track irregularities using the R/S analysis method. Additionally, one-dimensional linear regression analysis is conducted on the fractal dimensions for different chord lengths to establish the correlation between static and dynamic irregularities. One-dimensional linear regression analysis is performed on the fractal dimensions for different chord lengths, yielding regression parameters that describe the relationship between static and dynamic irregularities. The results illustrate a clear linear relationship between the measurement results of static and dynamic track irregularities. Fractal analysis serves as a valuable tool in understanding the correlation between these irregularities, providing insights into the behavior of railway bridges. The findings of this research contribute to the field of track irregularity assessment by quantitatively evaluating the characteristics of HSR bridges, aiding in their design and maintenance to enhance safety and performance.