Accuracy Analysis and Appropriate Strategy for Determining Dynamic and Quasi-Static Bridge Structural Response Using Simultaneous Measurements with Two Real Aperture Ground-Based Radars
Over the past 10 years, ground-based radar interferometry has become a frequently used technology for determining dynamic deflections of bridge structures induced by vehicle passages. When measuring with only one radar device, the so-called Interpretation Error (<i>E<sub>I</sub><...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Remote Sensing |
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| Online Access: | https://www.mdpi.com/2072-4292/15/3/837 |
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| author | Milan Talich Jan Havrlant Lubomír Soukup Tomáš Plachý Michal Polák Filip Antoš Pavel Ryjáček Vojtěch Stančík |
| author_facet | Milan Talich Jan Havrlant Lubomír Soukup Tomáš Plachý Michal Polák Filip Antoš Pavel Ryjáček Vojtěch Stančík |
| author_sort | Milan Talich |
| collection | DOAJ |
| description | Over the past 10 years, ground-based radar interferometry has become a frequently used technology for determining dynamic deflections of bridge structures induced by vehicle passages. When measuring with only one radar device, the so-called Interpretation Error (<i>E<sub>I</sub></i>) considerably rises. When using two radars, it is possible to simultaneously determine, for example, vertical and longitudinal displacements and to eliminate the Interpretation Error. The aim of the article is to establish a suitable strategy for determining dynamic and quasi-static response of bridge structures based on the accuracy analysis of measurement by two radars. The necessary theory for displacements determination by means of two radar devices is presented. This is followed by an analysis of errors when measuring with only one radar. For the first time in the literature, mathematical formulas are derived here for determining the accuracy of the resulting displacements by simultaneous measurement with two radars. The practical examples of bridge structures displacements determination by measuring with two radar devices in the field are presented. The key contribution of the paper is the possibility to estimate and plan in advance the achievable accuracy of the resulting displacements for the given radar configurations in relation to the bridge structure. |
| first_indexed | 2024-03-11T09:26:45Z |
| format | Article |
| id | doaj.art-06feac7a35d249069f7ab4ac7d43fb9e |
| institution | Directory Open Access Journal |
| issn | 2072-4292 |
| language | English |
| last_indexed | 2024-03-11T09:26:45Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Remote Sensing |
| spelling | doaj.art-06feac7a35d249069f7ab4ac7d43fb9e2023-11-16T17:54:58ZengMDPI AGRemote Sensing2072-42922023-02-0115383710.3390/rs15030837Accuracy Analysis and Appropriate Strategy for Determining Dynamic and Quasi-Static Bridge Structural Response Using Simultaneous Measurements with Two Real Aperture Ground-Based RadarsMilan Talich0Jan Havrlant1Lubomír Soukup2Tomáš Plachý3Michal Polák4Filip Antoš5Pavel Ryjáček6Vojtěch Stančík7The Czech Academy of Sciences, Institute of Information Theory and Automation, Pod Vodárenskou Věží 4, 182 00 Prague, Czech RepublicThe Czech Academy of Sciences, Institute of Information Theory and Automation, Pod Vodárenskou Věží 4, 182 00 Prague, Czech RepublicThe Czech Academy of Sciences, Institute of Information Theory and Automation, Pod Vodárenskou Věží 4, 182 00 Prague, Czech RepublicDepartment of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, 166 29 Prague, Czech RepublicDepartment of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, 166 29 Prague, Czech RepublicThe Czech Academy of Sciences, Institute of Information Theory and Automation, Pod Vodárenskou Věží 4, 182 00 Prague, Czech RepublicDepartment of Steel and Timber Structures, Faculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, 166 29 Prague, Czech RepublicDepartment of Steel and Timber Structures, Faculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, 166 29 Prague, Czech RepublicOver the past 10 years, ground-based radar interferometry has become a frequently used technology for determining dynamic deflections of bridge structures induced by vehicle passages. When measuring with only one radar device, the so-called Interpretation Error (<i>E<sub>I</sub></i>) considerably rises. When using two radars, it is possible to simultaneously determine, for example, vertical and longitudinal displacements and to eliminate the Interpretation Error. The aim of the article is to establish a suitable strategy for determining dynamic and quasi-static response of bridge structures based on the accuracy analysis of measurement by two radars. The necessary theory for displacements determination by means of two radar devices is presented. This is followed by an analysis of errors when measuring with only one radar. For the first time in the literature, mathematical formulas are derived here for determining the accuracy of the resulting displacements by simultaneous measurement with two radars. The practical examples of bridge structures displacements determination by measuring with two radar devices in the field are presented. The key contribution of the paper is the possibility to estimate and plan in advance the achievable accuracy of the resulting displacements for the given radar configurations in relation to the bridge structure.https://www.mdpi.com/2072-4292/15/3/837bridge monitoringinterferometric radarGB-RARremote measurementsdynamic vertical and horizontal displacementsmeasurement accuracy analysis |
| spellingShingle | Milan Talich Jan Havrlant Lubomír Soukup Tomáš Plachý Michal Polák Filip Antoš Pavel Ryjáček Vojtěch Stančík Accuracy Analysis and Appropriate Strategy for Determining Dynamic and Quasi-Static Bridge Structural Response Using Simultaneous Measurements with Two Real Aperture Ground-Based Radars Remote Sensing bridge monitoring interferometric radar GB-RAR remote measurements dynamic vertical and horizontal displacements measurement accuracy analysis |
| title | Accuracy Analysis and Appropriate Strategy for Determining Dynamic and Quasi-Static Bridge Structural Response Using Simultaneous Measurements with Two Real Aperture Ground-Based Radars |
| title_full | Accuracy Analysis and Appropriate Strategy for Determining Dynamic and Quasi-Static Bridge Structural Response Using Simultaneous Measurements with Two Real Aperture Ground-Based Radars |
| title_fullStr | Accuracy Analysis and Appropriate Strategy for Determining Dynamic and Quasi-Static Bridge Structural Response Using Simultaneous Measurements with Two Real Aperture Ground-Based Radars |
| title_full_unstemmed | Accuracy Analysis and Appropriate Strategy for Determining Dynamic and Quasi-Static Bridge Structural Response Using Simultaneous Measurements with Two Real Aperture Ground-Based Radars |
| title_short | Accuracy Analysis and Appropriate Strategy for Determining Dynamic and Quasi-Static Bridge Structural Response Using Simultaneous Measurements with Two Real Aperture Ground-Based Radars |
| title_sort | accuracy analysis and appropriate strategy for determining dynamic and quasi static bridge structural response using simultaneous measurements with two real aperture ground based radars |
| topic | bridge monitoring interferometric radar GB-RAR remote measurements dynamic vertical and horizontal displacements measurement accuracy analysis |
| url | https://www.mdpi.com/2072-4292/15/3/837 |
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