Abstract

In this paper, we propose a dynamic displacement estimation method for large-scale civil infrastructures based on a two-stage Kalman filter and modified heuristic drift reduction method. When measuring displacement at large-scale infrastructures, a non-contact displacement sensor is placed on a limited number of spots such as foundations of the structures, and the sensor must have a very long measurement distance (typically longer than 100 m). RTK-GNSS, therefore, has been widely used in displacement measurement on civil infrastructures. However, RTK-GNSS has a low sampling frequency of 10–20 Hz and often suffers from its low stability due to the number of satellites and the surrounding environment. The proposed method combines data from an RTK-GNSS receiver and an accelerometer to estimate the dynamic displacement of the structure with higher precision and accuracy than those of RTK-GNSS and 100 Hz sampling frequency. In the proposed method, a heuristic drift reduction method estimates displacement with better accuracy employing a low-pass-filtered acceleration measurement by an accelerometer and a displacement measurement by an RTK-GNSS receiver. Then, the displacement estimated by the heuristic drift reduction method, the velocity measured by a single GNSS receiver, and the acceleration measured by the accelerometer are combined in a two-stage Kalman filter to estimate the dynamic displacement. The effectiveness of the proposed dynamic displacement estimation method was validated through three field application tests at Yeongjong Grand Bridge in Korea, San Francisco–Oakland Bay Bridge in California, and Qingfeng Bridge in China. In the field tests, the root-mean-square error of RTK-GNSS displacement measurement reduces by 55–78 percent after applying the proposed method.

Highlights

  • It is quite challenging to measure displacement for large-scale civil infrastructure, especially for long-span bridges and high-rise buildings

  • This paper proposed a new dynamic displacement estimation method, which utilizes acceleration measured by an accelerometer and displacement by an RTK-GNSS receiver

  • The study explores a dynamic displacement estimation method based on modified heuristic drift reduction (MHDR) and the two-stage Kalman filter, especially for large-scale civil infrastructures

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Summary

Introduction

It is quite challenging to measure displacement for large-scale civil infrastructure, especially for long-span bridges and high-rise buildings. RTK-GNSS has low sampling rate, which is typically limited to 10 Hz. the displacement measurement accuracy is poorer than other displacement sensors. In the civil engineering field, Kalman filtering has been mainly used for the estimation of structural displacement by multi-rate data fusion of acceleration and displacement measurements. A high level of low-frequency noise in a RTK-GNSS displacement measurement leads the methods to high estimation error. This paper proposed a new dynamic displacement estimation method, which utilizes acceleration measured by an accelerometer and displacement by an RTK-GNSS receiver. Kalman filter (TKF) to estimate acceleration, velocity, and displacement and a residual low-frequency error in the corrected RTK-GNSS displacement measurement [26]. Sensors 2020, 20, x FOR PEER REVIEW and displacement and a residual low-frequency error in the corrected RTK-GNSS displacement measurement [26].

Proposed Dynamic Displacement Estimation Method
Schematics of the Proposed Dynamic Displacement Estimation Method
State-Space
Two-Stage Kalman Filter
Lab-Scale Experiment
Measurements
12. Displacement
Findings
Conclusions
Full Text
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