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<front>
<journal-meta>
<journal-id journal-id-type="pmc">JAI</journal-id>
<journal-id journal-id-type="nlm-ta">JAI</journal-id>
<journal-id journal-id-type="publisher-id">JAI</journal-id>
<journal-title-group>
<journal-title>Journal on Artificial Intelligence</journal-title>
</journal-title-group>
<issn pub-type="epub">2579-003X</issn>
<issn pub-type="ppub">2579-0021</issn>
<publisher>
<publisher-name>Tech Science Press</publisher-name>
<publisher-loc>USA</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">40948</article-id>
<article-id pub-id-type="doi">10.32604/jai.2023.040948</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Review</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Study of Intelligent Approaches to Identify Impact of Environmental Temperature on Ultrasonic GWs Based SHM: A Review</article-title>
<alt-title alt-title-type="left-running-head">Study of Intelligent Approaches to Identify Impact of Environmental Temperature on Ultrasonic GWs Based SHM: A Review</alt-title>
<alt-title alt-title-type="right-running-head">Study of Intelligent Approaches to Identify Impact of Environmental Temperature on Ultrasonic GWs Based SHM: A Review</alt-title>
</title-group>
<contrib-group>
<contrib id="author-1" contrib-type="author" corresp="yes">
<name name-style="western"><surname>Abbas</surname><given-names>Saqlain</given-names></name><xref ref-type="aff" rid="aff-1">1</xref><xref ref-type="aff" rid="aff-2">2</xref><email>saqlain.abbas@uet.edu.pk</email></contrib>
<contrib id="author-2" contrib-type="author">
<name name-style="western"><surname>Abbas</surname><given-names>Zulkarnain</given-names></name><xref ref-type="aff" rid="aff-3">3</xref></contrib>
<contrib id="author-3" contrib-type="author">
<name name-style="western"><surname>Tu</surname><given-names>Xiaotong</given-names></name><xref ref-type="aff" rid="aff-4">4</xref></contrib>
<contrib id="author-4" contrib-type="author">
<name name-style="western"><surname>Zhu</surname><given-names>Yanping</given-names></name><xref ref-type="aff" rid="aff-2">2</xref></contrib>
<aff id="aff-1"><label>1</label><institution>Department of Mechanical Engineering, University of Engineering and Technology Lahore, Narowal Campus</institution>, <addr-line>Narowal, 51600</addr-line>, <country>Pakistan</country></aff>
<aff id="aff-2"><label>2</label><institution>Institute of Vibration, Shock and Noise, State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University</institution>, <addr-line>Shanghai, 200240</addr-line>, <country>China</country></aff>
<aff id="aff-3"><label>3</label><institution>Department of Mechanical Engineering, National Fertilizer Corporation (NFC), Institute of Engineering and Technology</institution>, <addr-line>Multan, 61000</addr-line>, <country>Pakistan</country></aff>
<aff id="aff-4"><label>4</label><institution>The School of Information Science and Engineering, Xiamen University</institution>, <addr-line>Xiamen, 361005</addr-line>, <country>China</country></aff>
</contrib-group>
<author-notes>
<corresp id="cor1"><label>&#x002A;</label>Corresponding Author: Saqlain Abbas. Email: <email>saqlain.abbas@uet.edu.pk</email></corresp>
</author-notes>
<pub-date date-type="collection" publication-format="electronic">
<year>2023</year></pub-date>
<pub-date date-type="pub" publication-format="electronic">
<day>22</day>
<month>09</month>
<year>2023</year>
</pub-date>
<volume>5</volume>
<issue>0</issue>
<fpage>43</fpage>
<lpage>56</lpage>
<history>
<date date-type="received">
<day>05</day>
<month>4</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>17</day>
<month>8</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>&#x00A9; 2023 Abbas et al.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Abbas et al.</copyright-holder>
<license xlink:href="https://creativecommons.org/licenses/by/4.0/">
<license-p>This work is licensed under a <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
</license>
</permissions>
<self-uri content-type="pdf" xlink:href="TSP_JAI_40948.pdf"></self-uri>
<abstract>
<p>Structural health monitoring (SHM) is considered an effective approach to analyze the efficient working of several mechanical components. For this purpose, ultrasonic guided waves can cover long-distance and assess large infrastructures in just a single test using a small number of transducers. However, the working of the SHM mechanism can be affected by some sources of variations (i.e., environmental). To improve the final results of ultrasonic guided wave inspections, it is necessary to highlight and attenuate these environmental variations. The loading parameters, temperature and humidity have been recognized as the core environmental sources of variations that affect the SHM sensing mechanism. Environmental temperature has the most significant influence on SHM results. There is still a need for extensive research to develop such a damage inspection approach that should be insensitive to environmental temperature variations. In this framework, the current research study will not only illuminate the effect of environmental temperature through different intelligent approaches but also suggest the standard mechanism to attenuate it in actual ultrasonic guided wave based SHM. Hence, the work presented in this article addresses one of the open research challenges that are the identification of the effect of environmental and operating conditions in practical applications of ultrasonic guided waves and impedance-based SHM.</p>
</abstract>
<kwd-group kwd-group-type="author">
<kwd>Structural health monitoring</kwd>
<kwd>ultrasonic guided waves</kwd>
<kwd>environmental and operating conditions</kwd>
<kwd>thermal sensitivity</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<label>1</label>
<title>Introduction</title>
<p>The inspection of different structures such as rods, tubes, bridges, rails, aircraft, etc., is usually performed through different SHM techniques. In this regard, ultrasonic guided wave damage detection is considered an efficient approach in real-world nondestructive assessment because of the reliable sensing mechanism and better perception of the basic physics [<xref ref-type="bibr" rid="ref-1">1</xref>]. To understand the fundamental knowledge of the acoustic ultrasonic method and guided wave generation process, sufficient information was provided in the literature [<xref ref-type="bibr" rid="ref-2">2</xref>]. The work in [<xref ref-type="bibr" rid="ref-3">3</xref>] explained the excitation potential of guided waves in anisotropic materials, phased-array approach and tomography. The research in [<xref ref-type="bibr" rid="ref-4">4</xref>] described the major developments in the adhesive bond examination. The results mentioned in [<xref ref-type="bibr" rid="ref-5">5</xref>] signified the integration of ultrasonic guided waves to direct shear energy. The critical inspection results of the honeycomb structure and aircraft components have been described in [<xref ref-type="bibr" rid="ref-6">6</xref>,<xref ref-type="bibr" rid="ref-7">7</xref>]. The development of small inexpensive sensors has played an important role to cover the research gap from nondestructive testing to structural health monitoring (SHM) [<xref ref-type="bibr" rid="ref-8">8</xref>,<xref ref-type="bibr" rid="ref-9">9</xref>]. The work mentioned in [<xref ref-type="bibr" rid="ref-9">9</xref>] highlighted the concept of ultrasonic guided wave tomography. The data of [<xref ref-type="bibr" rid="ref-10">10</xref>] has identified new SHM techniques such as tomographic and phased array methods including the knowledge of sensors. Approaches for mode and frequency selections were explained in detail in [<xref ref-type="bibr" rid="ref-11">11</xref>]. Real-time guided wave phased array approaches were described in [<xref ref-type="bibr" rid="ref-12">12</xref>] and [<xref ref-type="bibr" rid="ref-13">13</xref>]. To cover the research gap from transient ultrasonic guided wave analysis to modal vibration approaches, a new ultrasonic vibration technique was introduced. The practical application of guided waves for ice detection and de-icing in aircraft was unique in all aspects [<xref ref-type="bibr" rid="ref-14">14</xref>&#x2013;<xref ref-type="bibr" rid="ref-16">16</xref>]. The work presented in [<xref ref-type="bibr" rid="ref-17">17</xref>] demonstrated the exact circumferential defect-locating skill of the ultrasonic guided-wave phased-array focusing method [<xref ref-type="bibr" rid="ref-17">17</xref>].</p>
<p>Piezoelectric materials are widely used for different functions in engineering infrastructures. These materials are effective for high potential safety and maintenance in case of initiation of cracks due to several reasons such as fatigue/corrosion [<xref ref-type="bibr" rid="ref-18">18</xref>&#x2013;<xref ref-type="bibr" rid="ref-26">26</xref>]. Piezoelectric materials were employed for the monitoring of mechanical structures such as concretes, aircraft and photovoltaic solar panels. Further, the implementation of piezoelectric-based SHM has helped to introduce the concept of innovation in different industries. However, there are still some problems with the execution of current non-destructive research tools in real structures. To achieve the most efficient SHM systems, the inspection procedure requires a single piezoelectric for exciting and detecting the host structure. In this regard, the research community is fully committed to working on the experimental parameters of the ultrasonic guided wave inspection and electromechanical impedance (EMI) technique. EMI technique can detect structural interference, sensor/actuator irregularities, and delamination. To avoid the malfunction of the device, the sensor&#x2019;s self-monitoring is significant because it can affect the inspection procedure. Hence, the SHM research community is also concentrating on sensor self-diagnosis. <xref ref-type="fig" rid="fig-1">Fig. 1</xref> highlights the recent trends in piezoelectric research and its applications in engineering structures. It is expected to achieve more progress and growth soon in this field. These materials have developed new potentials to deal with different engineering concerns [<xref ref-type="bibr" rid="ref-27">27</xref>].</p>
<fig id="fig-1">
<label>Figure 1</label>
<caption>
<title>Trends in piezoelectric research</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JAI_40948-fig-1.tif"/>
</fig>
<p>Henceforth, for the inspection of both surface and subsurface defects, ultrasound-guided wave detection is recognized as suitable. It can also identify the defect in depth by using &#x201C;ultrasonic&#x201D; (high-frequency) sound energy. The most common defects inspected and measured by ultrasonic guided waves are voids, disbands, fatigue, delamination, surface discontinuities and matrix cracking in rotor blades [<xref ref-type="bibr" rid="ref-28">28</xref>].</p>
<p>The ultimate purpose of this research is to endorse the idea that ultrasonic guided wave inspection has great potential in structural health monitoring (SHM) of mechanical structures to maintain their optimal and long-term performance. This research work deals with one of the open research challenges that are the effect of environmental and operating conditions in practical applications of ultrasonic guided waves and impedance-based SHM.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Achievements for Guided-Wave (GW) Based SHM</title>
<p><xref ref-type="fig" rid="fig-2">Fig. 2</xref> shows the process diagram of SHM. Most of the researchers working in the SHM field deal with some parts of the process [<xref ref-type="bibr" rid="ref-29">29</xref>].</p>
<fig id="fig-2">
<label>Figure 2</label>
<caption>
<title>Structural health monitoring (SHM) process</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JAI_40948-fig-2.tif"/>
</fig>
<p>The SHM is an advanced system developed from non-destructive testing (NDT) and equipped with sensors and intelligent algorithms to monitor a health condition. These algorithms are implemented through different models such as the Statistical model to identify and quantify the severity of the damage. <xref ref-type="fig" rid="fig-3">Fig. 3</xref> illustrates the two main categories of these algorithms [<xref ref-type="bibr" rid="ref-27">27</xref>]. In general, these algorithms examine the statistical distributions of the extracted features to increase the reliability of the damage detection process.</p>
<fig id="fig-3">
<label>Figure 3</label>
<caption>
<title>Algorithms classification for Statistical model development for SHM</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JAI_40948-fig-3.tif"/>
</fig>
<p>There are several achievements for guided-wave based SHM such as water loading effects, illustration and selection of optimal mode and frequency, respectively and crack detection sensitivities, etc. Some significant achievements in composite materials, pipe inspections and aircraft applications are listed in <xref ref-type="table" rid="table-1">Table 1</xref> [<xref ref-type="bibr" rid="ref-17">17</xref>].</p>
<table-wrap id="table-1">
<label>Table 1</label>
<caption>
<title>Achievements for guided wave-based SHM</title>
</caption>
<table frame="hsides">
<colgroup>
<col align="left"/>
</colgroup>
<tbody>
<tr>
<td><bold><underline>Composite materials</underline></bold></td>
</tr>
<tr>
<td>&#x2022; Implementation of ultrasonic guided wave in anisotropic media</td>
</tr>
<tr>
<td>&#x2022; Practical execution of ultrasonic guided wave tomographic imaging approaches</td>
</tr>
<tr>
<td>&#x2022; Development of phased array techniques to monitor composite plates</td>
</tr>
<tr>
<td>&#x2022; Execution of linear and annular comb arrays for optimal frequency selection</td>
</tr>
<tr>
<td>&#x2022; Employment of time delay comb-type sensors&#x2019; network for the monitoring of composite structures</td>
</tr>
<tr>
<td><bold><underline>Pipe inspections</underline></bold></td>
</tr>
<tr>
<td>&#x2022; Practical execution of both axisymmetric and non-axisymmetric modes</td>
</tr>
<tr>
<td>&#x2022; Progress to deal with water loading in case of torsional modes</td>
</tr>
<tr>
<td>&#x2022; Inspection of pipes undercoatings and insulation</td>
</tr>
<tr>
<td>&#x2022; Minimized false alarm notifications in assessment</td>
</tr>
<tr>
<td>&#x2022; Implementation of special sensors and frequency choices to obtain exceptional penetration power</td>
</tr>
<tr>
<td><bold><underline>Aircraft applications</underline></bold></td>
</tr>
<tr>
<td>&#x2022; Practical execution of ultrasonic guided wave tomographic inspections on real aircraft structures</td>
</tr>
<tr>
<td>&#x2022; Advanced research in tear strap, skin to core delamination, lap splice, corrosion identification and other applications</td>
</tr>
<tr>
<td>&#x2022; Development of correlation between ultrasonic guided waves and modal vibration analysis that is named ultrasonic modal analysis testing (UMAT)</td>
</tr>
<tr>
<td>&#x2022; Practical execution of ultrasonic guided wave for ice detection and deicing in aircraft</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3">
<label>3</label>
<title>Challenges for Guided-Wave and Impedance Based SHM</title>
<p>Although their many benefits, the practical application of ultrasonic guided waves for SHM is still relatively limited [<xref ref-type="bibr" rid="ref-30">30</xref>&#x2013;<xref ref-type="bibr" rid="ref-35">35</xref>]. The significant challenges can be expressed in three ways: (a) Multi-path reflections, (b) Multiple modes, and (c) Sensitivity to environmental and operational conditions (EOCs) [<xref ref-type="bibr" rid="ref-36">36</xref>&#x2013;<xref ref-type="bibr" rid="ref-40">40</xref>]. This research work deals with the difficulties and challenges to applying SHM techniques (ultrasonic guide wave inspection and EMI) in actual inspections, which is variations in environmental and operating conditions (EOCs).</p>
<p>Utilizing small number of sensors and intelligent algorithms, ultrasonic guided waves can cover a long-distance and perform the accurate assessment of complex and large structures [<xref ref-type="bibr" rid="ref-41">41</xref>&#x2013;<xref ref-type="bibr" rid="ref-43">43</xref>]. Conversely, the working of the SHM mechanism can be affected by some environmental resources [<xref ref-type="bibr" rid="ref-44">44</xref>]. It is necessary to identify and attenuate these environmental variations. The loading parameters, temperature and humidity have been recognized as the core environmental sources of variations that affect the SHM sensing mechanism. Environmental temperature has the most significant influence on SHM results. There is still a need for extensive research to develop a damage inspection technique that can attenuate the impact of environmental temperature variations. Elastic properties of inspected material are greatly influenced by temperature may cause unwanted fluctuations in the amplitude of propagating wave signals [<xref ref-type="bibr" rid="ref-45">45</xref>]. Group and phase velocities of ultrasonic guided waves including modulation envelope are demonstrated in <xref ref-type="fig" rid="fig-4">Fig. 4</xref>.</p>
<fig id="fig-4">
<label>Figure 4</label>
<caption>
<title>Group and phase velocities of GWs</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JAI_40948-fig-4.tif"/>
</fig>
<p>The impedance-based SHM technique is certainly capable to employ it in complex structures to classify initial crack growth, but certain specific features have limited its reliability in real-life applications. In maximum situations, the specimen that is being inspected is constantly experiencing the numerous variable environmental parameters [<xref ref-type="bibr" rid="ref-46">46</xref>].</p>
<p>In the last two decades, several research scholars have worked on data analysis methods to attenuate the effect of some EOCs and improve the application of ultrasonic guided waves and impedance-based damage detection approaches [<xref ref-type="bibr" rid="ref-47">47</xref>&#x2013;<xref ref-type="bibr" rid="ref-57">57</xref>]. Statistical and signal processing methods have revealed reasonable efficiency to evaluate damage sensitive parameters that are less sensitive to the specific EOCs. Still, developments are required to deal with the challenges such as the complex arrangement of sensor and actuator networks, requisite comprehensive knowledge about atomic configuration, case-specific tunning considerations, and linear disintegration of multi-modal signals whose bases might be related to the aspect of non-linearly.</p>
<sec id="s3_1">
<label>3.1</label>
<title>The Supervised Approach (Sparse Discriminant (SD) Method) for Damage Detection and Its Thermal Sensitivity</title>
<p>A supervised approach is presented to identify a sparse subset of the ultrasonic guided-wave signals that have optimum crack data for inspection determinations. Preferably, if the entries dispersed from abnormality are recovered from the measured signals, they might be utilized for damage recognition. But, the research has revealed that fluctuation of EOCs disturbs the dispersed signals so that the crack data is intimidated by the effect of EOCs. The implementation of the sparse discriminant technique for constant operational damage inspection of a pipeline is illustrated in <xref ref-type="fig" rid="fig-5">Fig. 5</xref>. The procedure involves the original training stage and the constant monitoring stage [<xref ref-type="bibr" rid="ref-58">58</xref>].</p>
<fig id="fig-5">
<label>Figure 5</label>
<caption>
<title>Inspection of pipelines through training and monitoring stage</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JAI_40948-fig-5.tif"/>
</fig>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>The Unsupervised Approach (Sparse Energy (SE) Method) for Damage Detection and Its Thermal Sensitivity</title>
<p>The SD technique detailed in <xref ref-type="sec" rid="s3_1">Subsection 3.1</xref> deals with the limitations resulting from the complicated nature of ultrasonic guided waves and their sensitivity to EOCs distinctions. Its efficiency and the percentage detection accuracy being a supervised approach may be influenced by the alterations between training and test modules due to variation in EOCs, crack characteristics and location. The results of the SD technique propose that simple twofold labelled training observations of both damaged and undamaged cases attained under a partial range of EOCs are adequate for optimum execution of the SD technique. Conversely, the practical applications of the SD approach are inadequate to the circumstances where locating the training information from any pipe structure with irregularity is promising and practical. Furthermore, it is valuable to decrease the number of training values that influence the efficient working of a detection approach. Hence, to resolve these problems, an unsupervised sparse energy (SE) approach is industrialized for the crack identification in pipes; definitely, it deals efficiently with the complex nature of ultrasonic guided waves and their sensitivity to EOC variants [<xref ref-type="bibr" rid="ref-59">59</xref>]. This unsupervised approach aims to identify a subset of the ultrasonic guided-wave modules that includes the bulk of the signal&#x2019;s energy. The ideal solution will be the subset having minimum sensitivity to EOC variants. The projected SHM structure using the SE approach for the constant crack inspection of the pipeline is illustrated in <xref ref-type="fig" rid="fig-6">Fig. 6</xref> [<xref ref-type="bibr" rid="ref-59">59</xref>].</p>
<fig id="fig-6">
<label>Figure 6</label>
<caption>
<title>Application of the SE approach for the inspection of pipelines</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JAI_40948-fig-6.tif"/>
</fig>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Mode Decomposition (MD) Method to Illuminate the Effect of Temperature Variations on the Group Velocity of Guided Waves</title>
<p>Numerous studies have been conducted to present a technique to calculate the influence of environmental temperature on the measured signal. In this framework, the two methods named optimal baseline selection (OBS) and baseline signal stretch (BSS) is established by utilizing the basic concept of signal processing [<xref ref-type="bibr" rid="ref-60">60</xref>,<xref ref-type="bibr" rid="ref-61">61</xref>]. The procedure of OBS includes many standard entries measured over a range of temperatures while the BSS technique includes the idea of extending the signal and varying its amplitude. It was determined that the permutation of OBS and BSS is a vigorous approach to compensate for the effect of temperature. Though significant research has been done on this subject, there are few efforts existing in the literature to compensate for the effect of temperature on composite materials. In certain studies, a linear dependence of composite material properties is anticipated to change them by varying the temperature [<xref ref-type="bibr" rid="ref-62">62</xref>]. The alteration in the phase of the measured module is generally a magnitude of varying the velocity of the propagating wave. The variation occurs in both phase and group velocities of propagating wave signal due to thermal expansion in the examined material. An experimental scheme shown in <xref ref-type="fig" rid="fig-7">Fig. 7</xref> was developed in [<xref ref-type="bibr" rid="ref-62">62</xref>] to investigate the influence of temperature deviations on ultrasonic guided waves propagating along with a glass-fibre composite specimen. Later, it is confirmed that by implementing mode decomposition and employing two stretch factors, it is possible to modify the results by improving the BSS method.</p>
<fig id="fig-7">
<label>Figure 7</label>
<caption>
<title>The schematic view of experimental setup [<xref ref-type="bibr" rid="ref-62">62</xref>]</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JAI_40948-fig-7.tif"/>
</fig>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Effect of Temperature Variations on the Natural Frequency of the Structure</title>
<p>The variations in environmental temperature have a significant impact on the natural frequency of inspected specimens and it changes the damage detections outcomes. A major decrease in the natural frequency of the inspected specimen is noticed with temperature because of variations in material properties, especially, the modulus of elasticity. The process of damage propagation is also influenced by this deviation in natural frequency due to the extreme normalized amplitude of stresses generated in the inspected structure. Thus, it affects the arrival time of the propagating signal because of stretching and shorting of the route between the transducers which disturbs the final damage assessment [<xref ref-type="bibr" rid="ref-63">63</xref>]. The whole phenomenon of variation in natural frequency of structure with temperature can be clearly observed in <xref ref-type="fig" rid="fig-8">Fig. 8</xref>.</p>
<fig id="fig-8">
<label>Figure 8</label>
<caption>
<title>Variation in natural frequency of structure with temperature [<xref ref-type="bibr" rid="ref-63">63</xref>]</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JAI_40948-fig-8.tif"/>
</fig>
<p>To analyze the behaviour of transmission and reflection signal under varying temperature environment, the laboratory test setup is developed and illustrated in <xref ref-type="fig" rid="fig-9">Fig. 9</xref> [<xref ref-type="bibr" rid="ref-64">64</xref>].</p>
<fig id="fig-9">
<label>Figure 9</label>
<caption>
<title>Experiment test setup</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JAI_40948-fig-9.tif"/>
</fig>
<p>According to the attained time-domain and envelope curves, the amplitude and group velocities of the corresponding first wave packet of each received signal are estimated and demonstrated in <xref ref-type="fig" rid="fig-10">Figs. 10</xref> and <xref ref-type="fig" rid="fig-11">11</xref>, respectively [<xref ref-type="bibr" rid="ref-64">64</xref>].</p>
<fig id="fig-10">
<label>Figure 10</label>
<caption>
<title>The amplitude of measured signals at variable temperature and excitation frequency: (a) 100 kHz; (b) 175 kHz</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JAI_40948-fig-10.tif"/>
</fig><fig id="fig-11">
<label>Figure 11</label>
<caption>
<title>The group velocity of measured signals at variable temperature and excitation frequency: (a) 100 kHz; (b) 175 kHz</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JAI_40948-fig-11.tif"/>
</fig>
</sec>
</sec>
<sec id="s4">
<label>4</label>
<title>Conclusion</title>
<p>Structural health monitoring of any mechanical structure is essential for its optimal and persistent performance. However, the working of structural health monitoring mechanism can be affected by some sources of variations (i.e., environmental). To improve the final results of ultrasonic guided wave-based structural health monitoring, it is necessary to highlight and attenuate these environmental variations. The loading parameters, temperature and humidity have been measured as the core environmental sources of variations that affect the structural health monitoring sensing mechanism. Environmental temperature has the most significant influence on structural health monitoring results. Hence, this research work deals with one of the open research challenges that are the identification of the effect of environmental and operating conditions in practical applications of ultrasonic guided waves and impedance-based structural health monitoring. The work highlights the identification of a sparse subset of the ultrasonic guided-wave signals that have optimum crack data for inspection purposes with less thermal sensitivity. Sparse discriminant and sparse energy techniques are considered in detail in terms of ideal damage measurement. The results of the sparse discriminant technique propose that simple twofold labelled training observations of both damaged and undamaged cases attained under a partial range of environmental and operating conditins are adequate for optimum execution of the sparse discriminant technique. Conversely, the practical applications of the sparse discriminant approach are inadequate to the circumstances where locating the training information from any pipe structure with irregularity is promising and practical. Furthermore, it is valuable to decrease the number of training values that influence the efficient working of a detection approach. Hence, to resolve these problems, an unsupervised sparse energy approach is industrialized for crack identification in cylindrical structures; definitely, it deals efficiently with the complex nature of ultrasonic guided waves and their sensitivity to environmental and operating conditions variants The mode decomposition method has revealed that the amplitude of the propagating wave signal reduces by decreasing the temperature because of sufficient effect of temperature deviation on the piezoelectric transducers. Furthermore, the presence of time lag in the measured signal and its variations due to dropping the temperature verify that the group velocity of propagating wave rises within the defined temperature range. The variations in environmental temperature have also a significant impact on the natural frequency of inspected specimens and it changes the damage detections outcomes. A major decrease in the natural frequency of the inspected specimen is noticed with temperature because of variations in material properties, especially, the modulus of elasticity. The process of damage propagation is also influenced by this deviation in natural frequency due to the extreme normalized amplitude of stresses generated in the inspected structure. Thus, it affects the arrival time of the propagating signal because of stretching and shorting of the route between the transducers which disturbs the final damage assessment. Hence, it is endorsed to consider and implement the outcomes of current research in actual ultrasonic guided wave inspection to provide an ideal solution for thermal attenuation and precision in structural health monitoring results.</p>
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<ack>
<p>The authors would like to gratefully acknowledge the support received from the Shanghai Jiao Tong University China, University of Engineering &#x0026; Technology Lahore, and National Fertilizer Cooperation Institute of Engineering and Technology, Multan (NFC IET, Multan, Pakistan) to accomplish this research work.</p>
</ack>
<sec><title>Funding Statement</title>
<p>The authors received no specific funding for this study.</p>
</sec>
<sec><title>Author Contributions</title>
<p>The authors confirm contribution to the paper as follows: study conception and design: S.A, Z.A; data collection: S.A, Y.Z; analysis and interpretation of results: S.A, Z.A, X.T; draft manuscript preparation: S.A, X.T, Y.Z. All authors reviewed the results and approved the final version of the manuscript.</p>
</sec>
<sec sec-type="data-availability"><title>Availability of Data and Materials</title>
<p>Available on demand.</p>
</sec>
<sec sec-type="COI-statement"><title>Conflicts of Interest</title>
<p>The authors declare that they have no conflicts of interest to report regarding the present study.</p>
</sec>
<ref-list content-type="authoryear">
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