<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.4 20241031//EN"
        "https://jats.nlm.nih.gov/publishing/1.4/JATS-journalpublishing1-4.dtd">
<article  article-type="research-article"        dtd-version="1.4">
            <front>

                <journal-meta>
                                    <journal-id></journal-id>
            <journal-title-group>
                                                                                    <journal-title>Politeknik Dergisi</journal-title>
            </journal-title-group>
                                        <issn pub-type="epub">2147-9429</issn>
                                                                                            <publisher>
                    <publisher-name>Gazi Üniversitesi</publisher-name>
                </publisher>
                    </journal-meta>
                <article-meta>
                                        <article-id pub-id-type="doi">10.2339/politeknik.1498060</article-id>
                                                                <article-categories>
                                            <subj-group  xml:lang="en">
                                                            <subject>Dynamics, Vibration and Vibration Control</subject>
                                                            <subject>Machine Theory and Dynamics</subject>
                                                    </subj-group>
                                            <subj-group  xml:lang="tr">
                                                            <subject>Dinamikler, Titreşim ve Titreşim Kontrolü</subject>
                                                            <subject>Makine Teorisi ve Dinamiği</subject>
                                                    </subj-group>
                                    </article-categories>
                                                                                                                                                        <title-group>
                                                                                                                        <trans-title-group xml:lang="tr">
                                    <trans-title>Alüminyum Petek Sandviç Panellerde Dinamik Tepki Değişkenliğinin PCE ve Kriging Tabanlı Meta-Model Kullanılarak Değerlendirilmesi</trans-title>
                                </trans-title-group>
                                                                                                                                                                                                <article-title>Evaluation of dynamic response variability in aluminum honeycomb sandwich panels using PCE and Kriging-based metamodel</article-title>
                                                                                                    </title-group>
            
                                                    <contrib-group content-type="authors">
                                                                        <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0000-0001-5983-3953</contrib-id>
                                                                <name>
                                    <surname>Oktav</surname>
                                    <given-names>Akın</given-names>
                                </name>
                                                                    <aff>ALANYA ALAADDİN KEYKUBAT ÜNİVERSİTESİ</aff>
                                                            </contrib>
                                                    <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0000-0001-9887-5531</contrib-id>
                                                                <name>
                                    <surname>Başaran</surname>
                                    <given-names>Murat Alper</given-names>
                                </name>
                                                                    <aff>ALANYA ALAADDİN KEYKUBAT ÜNİVERSİTESİ</aff>
                                                            </contrib>
                                                                                </contrib-group>
                        
                                        <pub-date pub-type="pub" iso-8601-date="20260421">
                    <day>04</day>
                    <month>21</month>
                    <year>2026</year>
                </pub-date>
                                        <volume>29</volume>
                                        <issue>4</issue>
                                        <fpage>1</fpage>
                                        <lpage>12</lpage>
                        
                        <history>
                                    <date date-type="received" iso-8601-date="20240608">
                        <day>06</day>
                        <month>08</month>
                        <year>2024</year>
                    </date>
                                                    <date date-type="accepted" iso-8601-date="20250429">
                        <day>04</day>
                        <month>29</month>
                        <year>2025</year>
                    </date>
                            </history>
                                        <permissions>
                    <copyright-statement>Copyright © 1998, Politeknik Dergisi</copyright-statement>
                    <copyright-year>1998</copyright-year>
                    <copyright-holder>Politeknik Dergisi</copyright-holder>
                </permissions>
            
                                                                                                <trans-abstract xml:lang="tr">
                            <p>Bu çalışmanın amacı, ticari alüminyum petek sandviç panellerdeki (APSP) dinamik tepki değişkenliğini modellemektir. Özdeş 35 ticari APSP üzerinde deneysel modal analiz çalışması gerçekleştirilmiştir. Panelin tahmini ağırlığına göre 10.000 örnek temel alınarak bir hesaplamalı model oluşturulmuştur. İlk 10 esnek mod için 35 numunenin deneysel modal frekansları, deterministik hesaplama modelinin sonuçlarıyla karşılaştırılmış ve sapmalar hata olarak nitelenmiştir. Kaplama levhalarının kalınlıkları ve çekirdek hücre duvarının kalınlığı belirsizlik kaynakları olarak kabul edilmiştir. Hata ve stokastik değişkenler arasındaki ilişkiyi ifade etmek için PCE-Kriging adı verilen veri güdümlü bir meta-model oluşturulmuştur. Sonuçlar, düşük frekanslardaki değişkenliğin kaplama tabakalarından kaynaklandığını, yüksek frekanslardaki değişkenliğin ise çekirdek tarafından domine edildiğini göstermektedir.</p></trans-abstract>
                                                                                                                                    <abstract><p>The aim of this study is to model the dynamic response variability in commercial aluminum honeycomb sandwich panels. An experimental modal analysis is performed on 35 identical commercial AHSPs. Based on 10,000 samples, a computational model is constructed according to the estimated weight of the panel. The modal frequencies of the 35 samples for the first 10 flexible modes are compared with the computational results and deviations are referred to as errors. The thickness of the facing sheets and thickness of the cell wall of the core are considered as sources of uncertainty. A data-driven meta-model called PCE-Kriging is created.</p></abstract>
                                                            
            
                                                                                        <kwd-group>
                                                    <kwd>Kriging</kwd>
                                                    <kwd>  modal analysis</kwd>
                                                    <kwd>  polynomial chaos expansion (PCE)</kwd>
                                                    <kwd>  uncertainty quantification</kwd>
                                                    <kwd>  variability</kwd>
                                            </kwd-group>
                            
                                                <kwd-group xml:lang="tr">
                                                    <kwd>Kriging</kwd>
                                                    <kwd>  Modal analiz</kwd>
                                                    <kwd>  Çokterimli kaos açılımı</kwd>
                                                    <kwd>  Belirsizlik sayısallaştırma</kwd>
                                                    <kwd>  Değişkenlik</kwd>
                                            </kwd-group>
                                                                                                                                    <funding-group specific-use="FundRef">
                    <award-group>
                                                    <funding-source>
                                <named-content content-type="funder_name">This study was supported by Scientific and Technological Research Council of Turkey (TUBITAK) under the Grant 122M921.</named-content>
                            </funding-source>
                                                                            <award-id>TUBITAK 122M921</award-id>
                                            </award-group>
                </funding-group>
                                </article-meta>
    </front>
    <back>
                            <ref-list>
                                    <ref id="ref1">
                        <label>1</label>
                        <mixed-citation publication-type="journal">[1]	Xiong J, Du Y, Mousanezhad D, Eydani Asl M, Norato J, Vaziri A., “Sandwich structures with prismatic and foam cores: A review”, Advanced Engineering Materials, 21(1):1800036, (2019).</mixed-citation>
                    </ref>
                                    <ref id="ref2">
                        <label>2</label>
                        <mixed-citation publication-type="journal">[2]	Tan HL, He ZC, Li KX, Li E, Cheng AG, Xu B., “In-plane crashworthiness of re-entrant hierarchical honeycombs with negative Poisson’s ratio”, Composite Structures, 1;229:111415, (2019).</mixed-citation>
                    </ref>
                                    <ref id="ref3">
                        <label>3</label>
                        <mixed-citation publication-type="journal">[3]	Li QQ, Li E, Chen T, Wu L, Wang GQ, He ZC., “Improve the frontal crashworthiness of vehicle through the design of front rail”, Thin-Walled Structures, 1;162:107588, (2021).</mixed-citation>
                    </ref>
                                    <ref id="ref4">
                        <label>4</label>
                        <mixed-citation publication-type="journal">[4]	Tan H, He Z, Li E, Cheng A, Chen T, Tan X, Li Q, Xu B., “Crashworthiness design and multi-objective optimization of a novel auxetic hierarchical honeycomb crash box”, Structural and Multidisciplinary Optimization, Oct;64(4):2009-24, (2021).</mixed-citation>
                    </ref>
                                    <ref id="ref5">
                        <label>5</label>
                        <mixed-citation publication-type="journal">[5]	Xie S, Li H, Yang C, Yao S., “Crashworthiness optimisation of a composite energy-absorbing structure for subway vehicles based on hybrid particle swarm optimization”, Structural and Multidisciplinary Optimization, 58:2291-308 (2018).</mixed-citation>
                    </ref>
                                    <ref id="ref6">
                        <label>6</label>
                        <mixed-citation publication-type="journal">[6]	He W, Liu J, Wang S, Xie D., “Low-velocity impact response and post-impact flexural behaviour of composite sandwich structures with corrugated cores”, Composite Structures, 1;189:37-53, (2018).</mixed-citation>
                    </ref>
                                    <ref id="ref7">
                        <label>7</label>
                        <mixed-citation publication-type="journal">[7]	Bai Y, Wang N, Cheng P, Yu B, Badaruddin MF, Ashri M., “Collapse of Reinforced Thermoplastic Pipe (RTP) under external pressure”, International Conference on Offshore Mechanics and Arctic Engineering, Jan 1 44366: 275-280 (2011).</mixed-citation>
                    </ref>
                                    <ref id="ref8">
                        <label>8</label>
                        <mixed-citation publication-type="journal">[8]	Xiong J, Zhang M, Stocchi A, Hu H, Ma L, Wu L, Zhang Z., “Mechanical behaviors of carbon fiber composite sandwich columns with three-dimensional honeycomb cores under in-plane compression”, Composites Part B: Engineering, Apr 1;60:350-8, (2014).</mixed-citation>
                    </ref>
                                    <ref id="ref9">
                        <label>9</label>
                        <mixed-citation publication-type="journal">[9]	Wang X, Khodaparast HH, Shaw AD, Friswell MI, Zheng G., “Localisation of local nonlinearities in structural dynamics using spatially incomplete measured data”, Mechanical Systems and Signal Processing, Jan 15;99:364-83, (2018).</mixed-citation>
                    </ref>
                                    <ref id="ref10">
                        <label>10</label>
                        <mixed-citation publication-type="journal">[10]	Palomba G, Crupi V, Epasto G., “Collapse modes of aluminium honeycomb sandwich structures under fatigue bending loading”, Thin-Walled Structures, Dec 1;145:106363, (2019).</mixed-citation>
                    </ref>
                                    <ref id="ref11">
                        <label>11</label>
                        <mixed-citation publication-type="journal">[11]	Wang Z, Wang X, Liu K, Zhang J, Lu Z., “Crashworthiness index of honeycomb sandwich structures under low-speed oblique impact”, International Journal of Mechanical Sciences, Oct 15;208:106683, (2021).</mixed-citation>
                    </ref>
                                    <ref id="ref12">
                        <label>12</label>
                        <mixed-citation publication-type="journal">[12]	Palomba G, Epasto G, Crupi V. Lightweight sandwich structures for marine applications: a review. Mechanics of Advanced Materials and Structures. Oct 26;29(26):4839-64 (2022).</mixed-citation>
                    </ref>
                                    <ref id="ref13">
                        <label>13</label>
                        <mixed-citation publication-type="journal">[13]	Sun Y, Li QM., “Dynamic compressive behaviour of cellular materials: A review of phenomenon, mechanism and modelling”, International Journal of Impact Engineering, Feb 1;112:74-115 (2018).</mixed-citation>
                    </ref>
                                    <ref id="ref14">
                        <label>14</label>
                        <mixed-citation publication-type="journal">[14]	Castanie B, Bouvet C, Ginot M., “Review of composite sandwich structure in aeronautic applications”, Composites Part C: Open Access Aug 1;1:100004 (2020).</mixed-citation>
                    </ref>
                                    <ref id="ref15">
                        <label>15</label>
                        <mixed-citation publication-type="journal">[15]	Qi C, Jiang F, Yang S., “Advanced honeycomb designs for improving mechanical properties: A review”, Composites Part B: Engineering, Dec 15;227:109393, (2021).</mixed-citation>
                    </ref>
                                    <ref id="ref16">
                        <label>16</label>
                        <mixed-citation publication-type="journal">[16]	Boschetto A, Bottini L, Macera L, Vatanparast S., “Additive Manufacturing for Lightweighting Satellite Platform”, Applied Sciences, Feb 22;13(5):2809, (2023).</mixed-citation>
                    </ref>
                                    <ref id="ref17">
                        <label>17</label>
                        <mixed-citation publication-type="journal">[17]	Zhang X, Zhou H, Shi W, Zeng F, Zeng H, Chen G., “Vibration tests of 3D printed satellite structure made of lattice sandwich panels”, AIAA Journal, Oct;56(10):4213-7, (2018).</mixed-citation>
                    </ref>
                                    <ref id="ref18">
                        <label>18</label>
                        <mixed-citation publication-type="journal">[18]	Lionnet C, Lardeur P., “A hierarchical approach to the assessment of the variability of interior noise levels measured in passenger cars”, Noise Control Engineering Journal, Jan 1;55(1):29-37, (2007).</mixed-citation>
                    </ref>
                                    <ref id="ref19">
                        <label>19</label>
                        <mixed-citation publication-type="journal">[19]	Oktav A, Anlaş G, Yılmaz Ç., “Assessment of vehicle noise variability through structural transfer path analysis”, International Journal of Vehicle Design, 71(1-4):300-20, (2016).</mixed-citation>
                    </ref>
                                    <ref id="ref20">
                        <label>20</label>
                        <mixed-citation publication-type="journal">[20]	Oberkampf WL, Roy CJ., “Verification and validation in scientific computing”, Cambridge University Press (2010).</mixed-citation>
                    </ref>
                                    <ref id="ref21">
                        <label>21</label>
                        <mixed-citation publication-type="journal">[21]	Begg SH, Welsh MB, Bratvold RB., “Uncertainty vs. Variability: What’s the Difference and Why is it Important?”, SPE Hydrocarbon Economics and Evaluation Symposium May 19 (p. D011S003R002). SPE, (2014).</mixed-citation>
                    </ref>
                                    <ref id="ref22">
                        <label>22</label>
                        <mixed-citation publication-type="journal">[22]	Oktav A., “Determination of the effect of adhesive fillets and viscous damping on the dynamic response of aluminum honeycomb sandwich panels”, Mechanics of Advanced Materials and Structures, Sep 23:1-11, (2023).</mixed-citation>
                    </ref>
                                    <ref id="ref23">
                        <label>23</label>
                        <mixed-citation publication-type="journal">[23]	Dai X, Shao X, Ma C, Yun H, Yang F, Zhang D., “Experimental and numerical investigation on vibration of sandwich plates with honeycomb cores based on radial basis function”, Experimental Techniques, Feb;42:79-92 (2018).</mixed-citation>
                    </ref>
                                    <ref id="ref24">
                        <label>24</label>
                        <mixed-citation publication-type="journal">[24]	Wang YJ, Zhang ZJ, Xue XM, Zhang L., “Free vibration analysis of composite sandwich panels with hierarchical honeycomb sandwich core”, Thin-Walled Structures, Dec 1;145:106425, (2019).</mixed-citation>
                    </ref>
                                    <ref id="ref25">
                        <label>25</label>
                        <mixed-citation publication-type="journal">[25]	Pourriahi V, Heidari-Rarani M, Torabpour Isfahani A., “Influence of geometric parameters on free vibration behavior of an aluminum honeycomb core sandwich beam using experimentally validated finite element models”, Journal of Sandwich Structures &amp; Materials, Feb;24(2):1449-69, (2022).</mixed-citation>
                    </ref>
                                    <ref id="ref26">
                        <label>26</label>
                        <mixed-citation publication-type="journal">[26]	Rahman H, Jamshed R, Hameed H, Raza S., “Finite element analysis (FEA) of honeycomb sandwich panel for continuum properties evaluation and core height influence on dynamic behavior”, Advanced Materials Research, Oct 1; 326:1-0, (2011).</mixed-citation>
                    </ref>
                                    <ref id="ref27">
                        <label>27</label>
                        <mixed-citation publication-type="journal">[27]	Aborehab A, Kassem M, Nemnem A, Kamel M., “Miscellaneous modeling approaches and testing of a satellite honeycomb sandwich plate”, Journal of Applied and Computational Mechanics, Dec 26, (2019).</mixed-citation>
                    </ref>
                                    <ref id="ref28">
                        <label>28</label>
                        <mixed-citation publication-type="journal">[28]	Wang JT, Wang CJ, Zhao JP., “Frequency response function-based model updating using Kriging model”, Mechanical Systems and Signal Processing, Mar 15;87:218-28, (2017).</mixed-citation>
                    </ref>
                                    <ref id="ref29">
                        <label>29</label>
                        <mixed-citation publication-type="journal">[29]	Zhao Z, Wang H, Liu C, Xu X, Sun L, Wang J, Li Y., “An FFT-based method for uncertainty quantification of Nomex honeycomb’s in-plane elastic properties”, Composite Structures, Dec 1;301:116217, (2022).</mixed-citation>
                    </ref>
                                    <ref id="ref30">
                        <label>30</label>
                        <mixed-citation publication-type="journal">[30]	Dey S, Mukhopadhyay T, Naskar S, Dey TK, Chalak HD, Adhikari S., “Probabilistic characterisation for dynamics and stability of laminated soft core sandwich plates”, Journal of Sandwich Structures &amp; Materials, Jan;21(1):366-97, (2019).</mixed-citation>
                    </ref>
                                    <ref id="ref31">
                        <label>31</label>
                        <mixed-citation publication-type="journal">[31]	Zhang F, Du R, Qiao Z, Wang W, Zhang J, Wang X., “Quantitative structural uncertainty analysis of composite honeycomb sandwich using a feedback neural network”, Physica D: Nonlinear Phenomena, Nov 9:133985, (2023).</mixed-citation>
                    </ref>
                                    <ref id="ref32">
                        <label>32</label>
                        <mixed-citation publication-type="journal">[32]	Lajili R, Chikhaoui K, Zergoune Z, Bouazizi ML, Ichchou MN., “Impact of the vibration measurement points geometric coordinates uncertainties on two-dimensional k-space identification: Application to a sandwich plate with honeycomb core”, Mechanical Systems and Signal Processing, Mar 15;167:108509, (2022).</mixed-citation>
                    </ref>
                                    <ref id="ref33">
                        <label>33</label>
                        <mixed-citation publication-type="journal">[33]	Cheng YC, Yeh HC, Lee CK., “Multi-objective optimization of the honeycomb core in a honeycomb structure using uniform design and grey relational analysis”, Engineering Optimization, Feb 1;54(2):286-304, (2022).</mixed-citation>
                    </ref>
                                    <ref id="ref34">
                        <label>34</label>
                        <mixed-citation publication-type="journal">[34]	Dutta S, Ghosh S, Inamdar MM., “Optimisation of tensile membrane structures under uncertain wind loads using PCE and kriging based metamodels”, Structural and Multidisciplinary Optimization, Mar;57:1149-61, (2018).</mixed-citation>
                    </ref>
                                    <ref id="ref35">
                        <label>35</label>
                        <mixed-citation publication-type="journal">[35]	Dutta S., “A sequential metamodel-based method for structural optimization under uncertainty”, Structures, 26:54-65, (2020).</mixed-citation>
                    </ref>
                                    <ref id="ref36">
                        <label>36</label>
                        <mixed-citation publication-type="journal">[36]	Denimal E, Sinou JJ., “Advanced kriging-based surrogate modelling and sensitivity analysis for rotor dynamics with uncertainties”, European Journal of Mechanics-A/Solids, Nov 1;90:104331, (2021).</mixed-citation>
                    </ref>
                                    <ref id="ref37">
                        <label>37</label>
                        <mixed-citation publication-type="journal">[37]	Sudret B., “Global sensitivity analysis using polynomial chaos expansions”, Reliability Engineering &amp; System Safety, Jul 1;93(7):964-79, (2008).</mixed-citation>
                    </ref>
                                    <ref id="ref38">
                        <label>38</label>
                        <mixed-citation publication-type="journal">[38]	Blatman G, Sudret B., “Adaptive sparse polynomial chaos expansion based on least angle regression”, Journal of Computational Physics, Mar 20;230(6):2345-67 (2011).</mixed-citation>
                    </ref>
                                    <ref id="ref39">
                        <label>39</label>
                        <mixed-citation publication-type="journal">[39]	Kleijnen JP., “Kriging metamodeling in simulation: A review”, European Journal of Operational Research, Feb 1;192(3):707-16, (2009).</mixed-citation>
                    </ref>
                                    <ref id="ref40">
                        <label>40</label>
                        <mixed-citation publication-type="journal">[40]	Rasmussen CE, Williams CK., “Gaussian processes for machine learning”, Cambridge, MA: MIT press, (2006).</mixed-citation>
                    </ref>
                                    <ref id="ref41">
                        <label>41</label>
                        <mixed-citation publication-type="journal">[41]	Possenti KA, de Menezes VG, Vandepitte D, Tita V, Medeiros RD., “Detection of changes in dynamic characteristics of composite structures using Kriging metamodeling procedure: Experimental and computational analysis”, Mechanics of Advanced Materials and Structures, Aug 8:1-18, (2023).</mixed-citation>
                    </ref>
                                    <ref id="ref42">
                        <label>42</label>
                        <mixed-citation publication-type="journal">[42]	Schwarz BJ, Richardson MH., “Experimental modal analysis”, CSI Reliability, Oct 4;35(1):1-2, (1999).</mixed-citation>
                    </ref>
                                    <ref id="ref43">
                        <label>43</label>
                        <mixed-citation publication-type="journal">[43]	Avitabile P., “Modal testing: a practitioner&#039;s guide”, John Wiley &amp; Sons (2017).</mixed-citation>
                    </ref>
                                    <ref id="ref44">
                        <label>44</label>
                        <mixed-citation publication-type="journal">[44]	Oktav A, Başaran MA, Darıcık F., “Dynamic response optimization of a thermoplastic composite sandwich beam under random vibration”, Mechanics of Advanced Materials and Structures, Jun 19:1-14, (2023).</mixed-citation>
                    </ref>
                                    <ref id="ref45">
                        <label>45</label>
                        <mixed-citation publication-type="journal">[45]	Altıgen Co., Türkiye https://www.6genpanel.com.tr/page12.html#extHeader26-57 accessed on March 23rd, (2025).</mixed-citation>
                    </ref>
                                    <ref id="ref46">
                        <label>46</label>
                        <mixed-citation publication-type="journal">[46]	Santner TJ, Williams BJ, Notz WI, Williams BJ., “The design and analysis of computer experiments”, New York: Springer (2003).</mixed-citation>
                    </ref>
                                    <ref id="ref47">
                        <label>47</label>
                        <mixed-citation publication-type="journal">[47]	Hadj Kacem M, El Hami A, Dammak K, Trabelsi H, Walha L, Haddar M., “Consideration of multi-variable uncertainty using the GPC method for the dynamic study of a two-stage gearbox of a wind turbine”, Mechanics of Advanced Materials and Structures, Oct 20:1-4., DOI: 10.1080/15376494.2022.2138650, (2022).</mixed-citation>
                    </ref>
                                    <ref id="ref48">
                        <label>48</label>
                        <mixed-citation publication-type="journal">[48]	Umesh K, Ganguli R., “Material uncertainty effect on vibration control of smart composite plate using polynomial chaos expansion”, Mechanics of Advanced Materials and Structures, Aug 9;20(7):580-91, (2013).</mixed-citation>
                    </ref>
                                    <ref id="ref49">
                        <label>49</label>
                        <mixed-citation publication-type="journal">[49]	Azrar A, Ben Said M, Azrar L, Aljinaidi AA., “Dynamic analysis of Carbon NanoTubes conveying fluid with uncertain parameters and random excitation”, Mechanics of Advanced Materials and Structures, May 19;26(10):898-913, (2019).</mixed-citation>
                    </ref>
                                    <ref id="ref50">
                        <label>50</label>
                        <mixed-citation publication-type="journal">[50]	Peng X, Ye T, Li J, Wu H, Jiang S, Chen G., “Multi-scale uncertainty quantification of composite laminated plate considering random and interval variables with data driven PCE method”, Mechanics of Advanced Materials and Structures, Nov 19;28(23):2429-39, (2021).</mixed-citation>
                    </ref>
                                    <ref id="ref51">
                        <label>51</label>
                        <mixed-citation publication-type="journal">[51]	Chen M, Zhang X, Pan G., “Data-driven approach for uncertainty quantification and risk analysis of composite cylindrical shells for underwater vehicles”, Mechanics of Advanced Materials and Structures, 14:1-5. DOI: 10.1080/15376494.2023.2190762, (2023).</mixed-citation>
                    </ref>
                                    <ref id="ref52">
                        <label>52</label>
                        <mixed-citation publication-type="journal">[52]	Aversano G, D’Alessio G, Coussement A, Contino F, Parente A., “Combination of polynomial chaos and Kriging for reduced-order model of reacting flow applications”, Results in Engineering, Jun 1;10:100223, (2021).</mixed-citation>
                    </ref>
                                    <ref id="ref53">
                        <label>53</label>
                        <mixed-citation publication-type="journal">[53]	García-Macías E, Ubertini F., “Real-time Bayesian damage identification enabled by sparse PCE-Kriging meta-modelling for continuous SHM of large-scale civil engineering structures”, Journal of Building Engineering, Nov 1;59:105004, (2022).</mixed-citation>
                    </ref>
                                    <ref id="ref54">
                        <label>54</label>
                        <mixed-citation publication-type="journal">[54]	Sinou JJ, Denimal E., “Reliable crack detection in a rotor system with uncertainties via advanced simulation models based on kriging and Polynomial Chaos Expansion”, European Journal of Mechanics-A/Solids, Mar 1;92:104451, (2022).</mixed-citation>
                    </ref>
                                    <ref id="ref55">
                        <label>55</label>
                        <mixed-citation publication-type="journal">[55]	Marelli S, Sudret B., “UQLab: A framework for uncertainty quantification in Matlab”, Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management, Jul 13: 2554-2563, (2014).</mixed-citation>
                    </ref>
                                    <ref id="ref56">
                        <label>56</label>
                        <mixed-citation publication-type="journal">[56]	Li L, He Q, Jing X, Jiang Y, Yan D., “Study on three-point bending behavior of sandwich beams with novel auxetic honeycomb core”, Materials Today Communications, 35:106259, (2023).</mixed-citation>
                    </ref>
                                    <ref id="ref57">
                        <label>57</label>
                        <mixed-citation publication-type="journal">[57]	Dai X, Ye H, Yang W, Qi J, Liu Y, Yuan T, Wang Y., “Mechanical behaviors of inner and outer sidewalls of honeycomb cores subjected to out-of-plane compression”, Aerospace Science and Technology, 127:107659, (2022).</mixed-citation>
                    </ref>
                                    <ref id="ref58">
                        <label>58</label>
                        <mixed-citation publication-type="journal">[58]	Wang WJ, Zhang WM, Guo MF, Yang JS, Ma L., “Energy absorption characteristics of a lightweight auxetic honeycomb under low-velocity impact loading”, Thin-Walled Structures, 185:110577, (2023).</mixed-citation>
                    </ref>
                                    <ref id="ref59">
                        <label>59</label>
                        <mixed-citation publication-type="journal">[59]	Keshavanarayana SR, Shahverdi H, Kothare A, Yang C, Bingenheimer J., “The effect of node bond adhesive fillet on uniaxial in-plane responses of hexagonal honeycomb core”, Composite Structures, 175:111-122, (2017).</mixed-citation>
                    </ref>
                                    <ref id="ref60">
                        <label>60</label>
                        <mixed-citation publication-type="journal">[60]	Kendall P, Sun M, Wowk D, Mechefske C, Kim IY., “Experimental investigation of adhesive fillet size on barely visible impact damage in metallic honeycomb sandwich panels”, Composites Part B: Engineering, 184:107723, (2020).</mixed-citation>
                    </ref>
                                    <ref id="ref61">
                        <label>61</label>
                        <mixed-citation publication-type="journal">[61]	Chen X, Yu G, Wang Z, Feng L, Wu L., “Enhancing out-of-plane compressive performance of carbon fiber composite honeycombs”, Composite Structures, 255:112984, (2021).</mixed-citation>
                    </ref>
                            </ref-list>
                    </back>
    </article>
