Dynamic Deformation Analysis of Super High-Rise Buildings Based on GNSS and Accelerometer Fusion

To accurately capture the dynamic displacement of super-tall buildings under complex conditions, this study proposes a data fusion algorithm that integrates NRBO-FMD optimization with Adaptive Robust Kalman Filtering (ARKF). The NRBO-FMD method preprocesses GNSS and accelerometer data to mitigate GN...

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Main Authors: Xingxing Xiao, Houzeng Han, Jian Wang, Dong Li, Cai Chen, Lei Wang
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Sensors
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Online Access:https://www.mdpi.com/1424-8220/25/9/2659
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author Xingxing Xiao
Houzeng Han
Jian Wang
Dong Li
Cai Chen
Lei Wang
author_facet Xingxing Xiao
Houzeng Han
Jian Wang
Dong Li
Cai Chen
Lei Wang
author_sort Xingxing Xiao
collection DOAJ
description To accurately capture the dynamic displacement of super-tall buildings under complex conditions, this study proposes a data fusion algorithm that integrates NRBO-FMD optimization with Adaptive Robust Kalman Filtering (ARKF). The NRBO-FMD method preprocesses GNSS and accelerometer data to mitigate GNSS multipath effects, unmodeled errors, and high-frequency noise in accelerometer signals. Subsequently, ARKF fuses the preprocessed data to achieve high-precision displacement reconstruction. Numerical simulations under varying noise conditions validated the algorithm’s accuracy. Field experiments conducted on the Hairong Square Building in Changchun further demonstrated its effectiveness in estimating three-dimensional dynamic displacement. Key findings are as follows: (1) The NRBO-FMD algorithm significantly reduced noise while preserving essential signal characteristics. For GNSS data, the root mean square error (RMSE) was reduced to 0.7 mm for the 100 s dataset and 1.0 mm for the 200 s dataset, with corresponding signal-to-noise ratio (SNR) improvements of 3.0 dB and 6.0 dB. For accelerometer data, the RMSE was reduced to 3.0 mm (100 s) and 6.2 mm (200 s), with a 4.1 dB SNR gain. (2) The NRBO-FMD–ARKF fusion algorithm achieved high accuracy, with RMSE values of 0.7 mm (100 s) and 1.9 mm (200 s). Consistent PESD and POSD values demonstrated the algorithm’s long-term stability and effective suppression of irregular errors. (3) The algorithm successfully fused 1 Hz GNSS data with 100 Hz accelerometer data, overcoming the limitations of single-sensor approaches. The fusion yielded an RMSE of 3.6 mm, PESD of 2.6 mm, and POSD of 4.8 mm, demonstrating both precision and robustness. Spectral analysis revealed key dynamic response frequencies ranging from 0.003 to 0.314 Hz, facilitating natural frequency identification, structural stiffness tracking, and early-stage performance assessment. This method shows potential for improving the integration of GNSS and accelerometer data in structural health monitoring. Future work will focus on real-time and predictive displacement estimation to enhance monitoring responsiveness and early-warning capabilities.
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spelling doaj-art-0414e0cd5ed3454582adb7129cc8ec952025-08-20T02:31:08ZengMDPI AGSensors1424-82202025-04-01259265910.3390/s25092659Dynamic Deformation Analysis of Super High-Rise Buildings Based on GNSS and Accelerometer FusionXingxing Xiao0Houzeng Han1Jian Wang2Dong Li3Cai Chen4Lei Wang5School of Geomatics and Urban Spatial Informatics, Beijing University of Civil Engineering and Architecture, Beijing 102616, ChinaSchool of Geomatics and Urban Spatial Informatics, Beijing University of Civil Engineering and Architecture, Beijing 102616, ChinaSchool of Geomatics and Urban Spatial Informatics, Beijing University of Civil Engineering and Architecture, Beijing 102616, ChinaSchool of Geomatics and Urban Spatial Informatics, Beijing University of Civil Engineering and Architecture, Beijing 102616, ChinaSchool of Geomatics and Urban Spatial Informatics, Beijing University of Civil Engineering and Architecture, Beijing 102616, ChinaSchool of Geomatics and Urban Spatial Informatics, Beijing University of Civil Engineering and Architecture, Beijing 102616, ChinaTo accurately capture the dynamic displacement of super-tall buildings under complex conditions, this study proposes a data fusion algorithm that integrates NRBO-FMD optimization with Adaptive Robust Kalman Filtering (ARKF). The NRBO-FMD method preprocesses GNSS and accelerometer data to mitigate GNSS multipath effects, unmodeled errors, and high-frequency noise in accelerometer signals. Subsequently, ARKF fuses the preprocessed data to achieve high-precision displacement reconstruction. Numerical simulations under varying noise conditions validated the algorithm’s accuracy. Field experiments conducted on the Hairong Square Building in Changchun further demonstrated its effectiveness in estimating three-dimensional dynamic displacement. Key findings are as follows: (1) The NRBO-FMD algorithm significantly reduced noise while preserving essential signal characteristics. For GNSS data, the root mean square error (RMSE) was reduced to 0.7 mm for the 100 s dataset and 1.0 mm for the 200 s dataset, with corresponding signal-to-noise ratio (SNR) improvements of 3.0 dB and 6.0 dB. For accelerometer data, the RMSE was reduced to 3.0 mm (100 s) and 6.2 mm (200 s), with a 4.1 dB SNR gain. (2) The NRBO-FMD–ARKF fusion algorithm achieved high accuracy, with RMSE values of 0.7 mm (100 s) and 1.9 mm (200 s). Consistent PESD and POSD values demonstrated the algorithm’s long-term stability and effective suppression of irregular errors. (3) The algorithm successfully fused 1 Hz GNSS data with 100 Hz accelerometer data, overcoming the limitations of single-sensor approaches. The fusion yielded an RMSE of 3.6 mm, PESD of 2.6 mm, and POSD of 4.8 mm, demonstrating both precision and robustness. Spectral analysis revealed key dynamic response frequencies ranging from 0.003 to 0.314 Hz, facilitating natural frequency identification, structural stiffness tracking, and early-stage performance assessment. This method shows potential for improving the integration of GNSS and accelerometer data in structural health monitoring. Future work will focus on real-time and predictive displacement estimation to enhance monitoring responsiveness and early-warning capabilities.https://www.mdpi.com/1424-8220/25/9/2659dynamic deformation monitoring of super-tall buildingsglobal navigation satellite system (GNSS)adaptive robust Kalman filtering (ARKF)feature modal decomposition (FMD)Newton–Raphson optimization (NRBO)
spellingShingle Xingxing Xiao
Houzeng Han
Jian Wang
Dong Li
Cai Chen
Lei Wang
Dynamic Deformation Analysis of Super High-Rise Buildings Based on GNSS and Accelerometer Fusion
Sensors
dynamic deformation monitoring of super-tall buildings
global navigation satellite system (GNSS)
adaptive robust Kalman filtering (ARKF)
feature modal decomposition (FMD)
Newton–Raphson optimization (NRBO)
title Dynamic Deformation Analysis of Super High-Rise Buildings Based on GNSS and Accelerometer Fusion
title_full Dynamic Deformation Analysis of Super High-Rise Buildings Based on GNSS and Accelerometer Fusion
title_fullStr Dynamic Deformation Analysis of Super High-Rise Buildings Based on GNSS and Accelerometer Fusion
title_full_unstemmed Dynamic Deformation Analysis of Super High-Rise Buildings Based on GNSS and Accelerometer Fusion
title_short Dynamic Deformation Analysis of Super High-Rise Buildings Based on GNSS and Accelerometer Fusion
title_sort dynamic deformation analysis of super high rise buildings based on gnss and accelerometer fusion
topic dynamic deformation monitoring of super-tall buildings
global navigation satellite system (GNSS)
adaptive robust Kalman filtering (ARKF)
feature modal decomposition (FMD)
Newton–Raphson optimization (NRBO)
url https://www.mdpi.com/1424-8220/25/9/2659
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AT dongli dynamicdeformationanalysisofsuperhighrisebuildingsbasedongnssandaccelerometerfusion
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