Virtual Axle Detector Based on Analysis of Bridge Acceleration Measurements by Fully Convolutional Network

In the practical application of the Bridge Weigh-In-Motion (BWIM) methods, the position of the wheels or axles during the passage of a vehicle is a prerequisite in most cases. To avoid the use of conventional axle detectors and bridge type-specific methods, we propose a novel method for axle detecti...

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Main Authors: Steven Robert Lorenzen, Henrik Riedel, Maximilian Michael Rupp, Leon Schmeiser, Hagen Berthold, Andrei Firus, Jens Schneider
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/22/22/8963
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author Steven Robert Lorenzen
Henrik Riedel
Maximilian Michael Rupp
Leon Schmeiser
Hagen Berthold
Andrei Firus
Jens Schneider
author_facet Steven Robert Lorenzen
Henrik Riedel
Maximilian Michael Rupp
Leon Schmeiser
Hagen Berthold
Andrei Firus
Jens Schneider
author_sort Steven Robert Lorenzen
collection DOAJ
description In the practical application of the Bridge Weigh-In-Motion (BWIM) methods, the position of the wheels or axles during the passage of a vehicle is a prerequisite in most cases. To avoid the use of conventional axle detectors and bridge type-specific methods, we propose a novel method for axle detection using accelerometers placed arbitrarily on a bridge. In order to develop a model that is as simple and comprehensible as possible, the axle detection task is implemented as a binary classification problem instead of a regression problem. The model is implemented as a Fully Convolutional Network to process signals in the form of Continuous Wavelet Transforms. This allows passages of any length to be processed in a single step with maximum efficiency while utilising multiple scales in a single evaluation. This allows our method to use acceleration signals from any location on the bridge structure and act as Virtual Axle Detectors (VADs) without being limited to specific structural types of bridges. To test the proposed method, we analysed 3787 train passages recorded on a steel trough railway bridge of a long-distance traffic line. Results of the measurement data show that our model detects 95% of the axles, which means that 128,599 out of 134,800 previously unseen axles were correctly detected. In total, 90% of the axles were detected with a maximum spatial error of 20 cm, at a maximum velocity of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>v</mi><mi>max</mi></msub><mo>=</mo><mn>56.3</mn><mspace width="3.33333pt"></mspace><mi mathvariant="normal">m</mi><mo>/</mo><mi mathvariant="normal">s</mi></mrow></semantics></math></inline-formula>. The analysis shows that our developed model can use accelerometers as VADs even under real operating conditions.
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spelling doaj.art-7735123d71214d10a92a366b4d3dbd7c2023-11-24T09:58:37ZengMDPI AGSensors1424-82202022-11-012222896310.3390/s22228963Virtual Axle Detector Based on Analysis of Bridge Acceleration Measurements by Fully Convolutional NetworkSteven Robert Lorenzen0Henrik Riedel1Maximilian Michael Rupp2Leon Schmeiser3Hagen Berthold4Andrei Firus5Jens Schneider6Institute for Structural Mechanics and Design, Technical University of Darmstadt, 64287 Darmstadt, GermanyInstitute for Structural Mechanics and Design, Technical University of Darmstadt, 64287 Darmstadt, GermanyInstitute for Structural Mechanics and Design, Technical University of Darmstadt, 64287 Darmstadt, GermanyInstitute for Structural Mechanics and Design, Technical University of Darmstadt, 64287 Darmstadt, GermanyInstitute for Structural Mechanics and Design, Technical University of Darmstadt, 64287 Darmstadt, GermanyiSEA Tec GmbH, 88046 Friedrichshafen, GermanyInstitute for Structural Mechanics and Design, Technical University of Darmstadt, 64287 Darmstadt, GermanyIn the practical application of the Bridge Weigh-In-Motion (BWIM) methods, the position of the wheels or axles during the passage of a vehicle is a prerequisite in most cases. To avoid the use of conventional axle detectors and bridge type-specific methods, we propose a novel method for axle detection using accelerometers placed arbitrarily on a bridge. In order to develop a model that is as simple and comprehensible as possible, the axle detection task is implemented as a binary classification problem instead of a regression problem. The model is implemented as a Fully Convolutional Network to process signals in the form of Continuous Wavelet Transforms. This allows passages of any length to be processed in a single step with maximum efficiency while utilising multiple scales in a single evaluation. This allows our method to use acceleration signals from any location on the bridge structure and act as Virtual Axle Detectors (VADs) without being limited to specific structural types of bridges. To test the proposed method, we analysed 3787 train passages recorded on a steel trough railway bridge of a long-distance traffic line. Results of the measurement data show that our model detects 95% of the axles, which means that 128,599 out of 134,800 previously unseen axles were correctly detected. In total, 90% of the axles were detected with a maximum spatial error of 20 cm, at a maximum velocity of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>v</mi><mi>max</mi></msub><mo>=</mo><mn>56.3</mn><mspace width="3.33333pt"></mspace><mi mathvariant="normal">m</mi><mo>/</mo><mi mathvariant="normal">s</mi></mrow></semantics></math></inline-formula>. The analysis shows that our developed model can use accelerometers as VADs even under real operating conditions.https://www.mdpi.com/1424-8220/22/22/8963moving load localisationnothing-on-roadfree-of-axle-detectorbridge weigh-in-motionstructural health monitoringfield validation
spellingShingle Steven Robert Lorenzen
Henrik Riedel
Maximilian Michael Rupp
Leon Schmeiser
Hagen Berthold
Andrei Firus
Jens Schneider
Virtual Axle Detector Based on Analysis of Bridge Acceleration Measurements by Fully Convolutional Network
Sensors
moving load localisation
nothing-on-road
free-of-axle-detector
bridge weigh-in-motion
structural health monitoring
field validation
title Virtual Axle Detector Based on Analysis of Bridge Acceleration Measurements by Fully Convolutional Network
title_full Virtual Axle Detector Based on Analysis of Bridge Acceleration Measurements by Fully Convolutional Network
title_fullStr Virtual Axle Detector Based on Analysis of Bridge Acceleration Measurements by Fully Convolutional Network
title_full_unstemmed Virtual Axle Detector Based on Analysis of Bridge Acceleration Measurements by Fully Convolutional Network
title_short Virtual Axle Detector Based on Analysis of Bridge Acceleration Measurements by Fully Convolutional Network
title_sort virtual axle detector based on analysis of bridge acceleration measurements by fully convolutional network
topic moving load localisation
nothing-on-road
free-of-axle-detector
bridge weigh-in-motion
structural health monitoring
field validation
url https://www.mdpi.com/1424-8220/22/22/8963
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AT henrikriedel virtualaxledetectorbasedonanalysisofbridgeaccelerationmeasurementsbyfullyconvolutionalnetwork
AT maximilianmichaelrupp virtualaxledetectorbasedonanalysisofbridgeaccelerationmeasurementsbyfullyconvolutionalnetwork
AT leonschmeiser virtualaxledetectorbasedonanalysisofbridgeaccelerationmeasurementsbyfullyconvolutionalnetwork
AT hagenberthold virtualaxledetectorbasedonanalysisofbridgeaccelerationmeasurementsbyfullyconvolutionalnetwork
AT andreifirus virtualaxledetectorbasedonanalysisofbridgeaccelerationmeasurementsbyfullyconvolutionalnetwork
AT jensschneider virtualaxledetectorbasedonanalysisofbridgeaccelerationmeasurementsbyfullyconvolutionalnetwork