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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>Journal of Civil
Structural Health Monitoring</journal-title>
      </journal-title-group>
      <issn pub-type="ppub">1613-0073</issn>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.1007/s13349-021-00530-8</article-id>
      <title-group>
        <article-title>Steel Bridges⋆</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Muhammad Asad</string-name>
          <email>muhammad.asad@graduate.univaq.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Giovanni De Gasperis</string-name>
          <email>giovanni.degasperis@univaq.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Stefania Costantini</string-name>
          <email>stefania.costantini@univaq.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="editor">
          <string-name>Rome, Italy</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Machine Learning</institution>
          ,
          <addr-line>Neural Network, Radial Basis Function, Ambient Analysis, Structural Health moni-</addr-line>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Università degli Studi dell'Aquila</institution>
          ,
          <addr-line>L'Aquila 67100</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2022</year>
      </pub-date>
      <volume>12</volume>
      <issue>2022</issue>
      <fpage>1122</fpage>
      <lpage>1131</lpage>
      <abstract>
        <p>Ambient Analysis in structural health monitoring system is a new research interest in collaboration with neural networks along with traditional methods. Mainly, steel bridges are considered for ambient analysis study including anomaly detection, predictions, localization and finally deducing some important results. Machine Learning algorithms including neural networks are eficient ways for railway bridge anomalies detection. Here a preliminary study and design of AmbinetNet is presented in addition to our base Neural Network. This base neural network consist of three hidden layers along with max-pooling and activation functions with a Softmax as a final output. Radial Basis Function is also considered in AmbientNet with additional layers. We got some promising preliminary results but as a researcher, there is always some place available for improvements. Our future based AmbientNet variations are expected to give more accurate results. As we have used ambient features for result calculations, we are also looking forward to add more features as well variation to the neural network for better results. toring.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>CEUR
ceur-ws.org</p>
    </sec>
    <sec id="sec-2">
      <title>1. Introduction</title>
      <p>Structural Health monitoring (SHM) is becoming a field of focus to the engineers and research
scientist mainly after introduction of machine learning. SHM systems are helpful in accessing
the condition and integrity of structures such as bridges, buildings, pipelines, and aircrafts over
time. These ML techniques (KNN, RF, SVM. ANN. CNN etc.) provide valuable insights and
predictive capabilities for monitoring the structural health of such assets. SHM also provide a
quantitative measure of a structure’s condition over time.</p>
      <p>
        Ambient analysis of railway bridges (steel or concrete) is necessary for their long life. Using
Structural Health Monitoring (SHM) technology, early structural anomalies detection,
occurrence of damage with alert intimation and in-time maintenance become possible. This lead
researchers to do systematic structural research about dynamic responses of vibrations, natural
frequencies, accelerations of vehicles on the bridges and temperature variations ( when train
passes and after train passes, in our case)[
        <xref ref-type="bibr" rid="ref1">1</xref>
        ].
      </p>
      <p>Machine Learning algorithms can be trained to detect and classify diferent types of damage
or anomalies in structures. This includes identifying cracks, corrosion, fatigue, and other
structural issues from sensor data, images, or sensor fusion. These algorithms also help in how
to predict when maintenance is needed based on sensor data and historical performance. This
helps in scheduling maintenance activities more eficiently, reducing downtime, and preventing
catastrophic failures. In bridge SHM, anomalies detection are used to detect deviations of the
bridges from normal behavior which may indicate damage, wear &amp; tear in the structures which
needs attention, repair and/or maintenance.</p>
      <p>Although Machine Learning enables remote monitoring of civil structures through the use of
sensors and data communication technologies. This is especially useful for such structures in
remote or hazardous locations. It is also important to note that the success of machine learning
in structural health monitoring depends on the quality and quantity of data, the choice of
appropriate algorithms, and domain expertise in interpreting results. Additionally, real-world
applications often involve a combination of traditional engineering methods and machine
learning techniques to achieve the best results in monitoring and maintaining the health of
especially critical civil infrastructure.</p>
    </sec>
    <sec id="sec-3">
      <title>2. Related Work</title>
      <p>
        SHMs provide many viable solutions to the damage detection but most of these are only limited
to anomalies, predictions or statistical model comparisons.As it can be seen that Svendsen et.
al. [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] investigated statistical comparison models with supervised and unsupervised learning
using Mahalanobis Squared Distance only. This study only focus of ROC metrics using KNN,
RF, and SVM etc. which don’t give any insights of the dataset used and the damage levels.
      </p>
      <p>Similarly, Frederic et. al. [3] investigated application of machine learning methods on real
railway bridges monitoring with transient relationship between air temperature and bridge
temperature. He used Neural network with three input neurons in the input layer, one output
neuron in the output layer giving binary results and n hidden neurons in one hidden layer.</p>
      <p>Neves et. al. in [4] worked on diferent ML techniques for damage detection.In this study
ANN based model is discussed for model-free bridge damage detection. Sensor based ambient
features are extracted and used as an input to ANN which are collected from dynamic response
of the structure in two diferent damage scenarios. In a review study by Onur et. al.[ 5] have
discussed non-parametric and parametric methods for structural damage detection from the
ambient data. He reviewed these methods wrt supervised machine learning algorithms. Mehrjoo
et.al. [6] proposed simple ANN based bridge damage detection techniques in which he used
accelerations as characteristic to calculate the damage sensitive features. Later, he developed a
simple MLP with single hidden layer for damage identification and localization.</p>
      <p>Lee et. al. [7] also used ANN model based on FE model of Hannam Grand Bridge in South
Korea. They also used ambient features to perform test performance under three levels of
damage. They used Probabilistic NN, Back propagation based NN and Sequential NN for results
evaluations. Furthermore, Muttillo et. al. [8]also worked extensively on machine learning based
model for damage detection. But this work in specifically inspired by IoT based sensory system
is designed for structural damage indication. From these studies with basic ML algorithms
come an idea of implementing our problem with some more deeper neural network with some
variations.</p>
    </sec>
    <sec id="sec-4">
      <title>3. Methodology</title>
      <p>The aim of this research to design a system which can take input from sensors and predict
anomalies in the steel bridge and also to localize the damage. So, starting form the system in
Fig.1 which represents Reference FEM, the data bus for data acquisition from multiple sensors,
a perception layer for raw data handling, reasoning layer for complex events processing and
dashboard for generating alarm alerts.</p>
      <p>This study focus on working with perception layer, with a functionality works around real
time system having multiple accelerometers, thermisters, inclinometers etc for data collection
and this data is processed for computation in the perception layer. As in this study, many
sensors; accelerometer,inclinometer, thermisters etc, are being used, and only ambient study of
features extracted from these sensory signals are feed forwarded to the neural network as input
for anomaly detection, and damage localization in perception layer, monitoring , and alerts
generation in reasoning layer. So far cumulative sum of diferences, cosine similarities, crest factor,
skewness, kurtosis and Stochastic subspace based identification(Single Value Decomposition)
are calculated in feature extraction. These features are fed to the neural network as input.</p>
    </sec>
    <sec id="sec-5">
      <title>4. Model Architecture</title>
      <p>Initial RBF based Neural network is generated with input layer, RBF, activation functions, and
other inner details of the neural net and an output layer which describes the seven scenarios for
bridge sections and twenty six damage intensities. To answer why RBF is used in the hidden
layer lies in a fact that they provide promising results in Structural Health Monitoring (SHM)
applications for various purposes, including damage detection, feature extraction, and data
analysis. However, we have used an updated version of RBFNet. This updated neural network
i.e AmbientNet has four hidden layers, maxPool, leakyReLU, Batch normalization and finally
Softmax for prediction.</p>
      <p>RBF networks can be used for regression tasks to predict structural health-related parameters,
such as stress, strain, or deformation, based on sensor measurements. This can be valuable for
continuously monitoring structural conditions. RBF network is designed for anomaly detection
and damage localization for the expected behavior of a bridge structure. Any deviation from
the normal observation of the predictions indicated the damage levels and localization which
can help in bridge maintenance..
4.1. RBF-Net
Radial Basis Function (RBF) network can be described in terms of its activation function and
its output. The typical RBF network consists of three layers: an input layer, a hidden layer
with RBF activation functions, and an output layer. The input layer receives the input data,
typically denoted as x. The hidden layer contains a set of radial basis functions. Each neuron
in the hidden layer applies an RBF activation function to the input data. The RBF activation
function for a single neuron can be represented as:
  () = exp (−  ⋅ ‖ −   ‖2)
(1)</p>
      <p>As the bridge is divided into seven sub-structures(for damage localization detection) and in
simulated architecture; diferent damage intensities are applied, it is important to note that RBF
networks require appropriate training data that includes both healthy and damaged structural
states. Additionally, the choice of network architecture, including the number and placement of
RBF neurons, can have a significant impact on their performance. Furthermore, our ambientNet
composed of a fully convolutional layer followed by an RBF function, batch normalization,
leakyReLU as activation function, max-pooling and in the a softmax activation. For our input
data this model with some variations is used for the preliminary results.</p>
    </sec>
    <sec id="sec-6">
      <title>5. Preliminary Results</title>
      <p>For our designed neural network, we used ambient features as input to it and as a result we got
some promising preliminary results. As we have two diferent output scenarios i.e. 26 damage
intensities(simulated data) and 7 bridge section(real bridge is divided into seven subsections),
Fig.2 shows the ROC curve of both the output scenarios.</p>
      <p>The results shows that for damage intensities scenario, Fig. 2 (Left) there are some low
prediction results for central classes whereas in Fig. 2 (Right), we observe class 5 and 6 shows
low positive results.</p>
    </sec>
    <sec id="sec-7">
      <title>6. Conclusion</title>
      <p>This paper presents the application of a Neural Network based SHM system architecture with
a basic RBF-Net for detecting damage, localization and alert system for railway steel bridge.
Although NN algorithms are generally used for image classification and object
detection.Structural Health Monitoring (SHM) systems are in implementation of a damage detection and
classification strategy for engineering structures. However, we have tried to use neural network
for anomaly detection using vibration responses captured from diferent sensors installed on
the real time railway bridges.</p>
    </sec>
    <sec id="sec-8">
      <title>Acknowledgments</title>
      <p>Thanks to Prof. Giovanni De Gasperis and Prof. Stefania Costantini for proving me the platform
to work on this project. The project is supported and funded by; Dipartimento di Ingegneria e
Scienze dell’Informazione e Matematica (DISIM), Università degli Studi dell’Aquila, L’Aquila,
Italy.</p>
    </sec>
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