Abstract

Linear guided wave based methods have been proposed to measure the axial load of continuously welded rail (CWR) in service. The underlying principle is that the propagation velocities of excited guided waves are sensitive to the axial load. However, the in-service CWR inevitably faces changes in rail wear and temperature, which also affects the propagating guided waves and results in severe degradation of existing methods. In this paper, we proposed the IGA-IWLS algorithm to estimate the axial load of in-service CWR using multiple guided wave modes. This novel load estimation method takes rail profile and phase velocities of a small set of wave modes as input, then uses an improved genetic algorithm to roughly search the candidate solutions of axial load and Young's modulus, and finally employs weighted least squares algorithm to iteratively converge to the estimated value of axial load. The paper presents the estimation theory in detail, including selection of the optimal set of guided wave modes and the IGA-IWLS algorithm. Numerical experiments show that the proposed method is able to estimate the axial load of CWR with an accuracy less than 2 MPa and is robust to measurement error and model error.

Highlights

  • Welded rail (CWR) is widely used in modern railways

  • Using the measured rail profile, we first establish the semi-analytical finite element (SAFE) model of Continuously welded rail (CWR) that can estimate the theoretical values of phase velocities of wave modes, if axial load and Young’s modulus are known

  • The results suggest that the modes propagating through rail web and rail foot are almost unaffected by rail wear in axial load estimation

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Summary

INTRODUCTION

Welded rail (CWR) is widely used in modern railways. Due to the absence of the expansion joints, thermal expansions and contractions in CWR are constrained, resulting in large longitudinal stress when the temperature of CWR is different from the neutral temperature (NT), i.e., the temperature corresponding to the zero stress in CWR. One has to measure the elastic modulus, rail profile, and the phase or group velocity of at least one propagating mode of rail guided waves to estimate the load using a pre-calibrated formula. To make this process easier in practice, we propose a multimodal guided wave method to estimate the axial load of in-service rail without the need of measuring the elastic modulus. A, b and η have to be obtained in advance from calibration experiments, which is difficult and tedious because both of axial load and Young’s modulus need to be set to different values in the calibration process

NOVEL ESTIMATION METHOD BASED ON SAFE MODEL OF CWR
C12 C12 C11
THE EFFECT OF RAIL WEAR ON PHASE VELOCITY
EXPERIMENTS
Findings
CONCLUSIONS AND DISCUSSIONS
Full Text
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