TY - JOUR T1 - Lamine kompozit ve sandviç plakaların şekil ve gerilme algılaması için yeni bir dört-düğüm noktalı ters-plaka elemanı TT - A novel four-node inverse-plate element for shape and stress sensing of laminated composite and sandwich plates AU - Kefal, Adnan PY - 2020 DA - July Y2 - 2020 DO - 10.17341/gazimmfd.557477 JF - Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi JO - GUMMFD PB - Gazi Üniversitesi WT - DergiPark SN - 1300-1884 SP - 1767 EP - 1782 VL - 35 IS - 4 LA - tr AB - Kompozitmalzemeler, çeşitli mühendislik yapılarının birincil yük taşıyıcıbileşenlerinin imalat sürecinde yaygın olarak kullanılmaktadır. Ancak, kompozitlerinyapısal bütünlüğünün, yapının hizmet ömrü boyunca meydana gelen hasarlardandolayı azalması muhtemeldir. Duruma dayalı bakım programlaması için kompozityapılara gerçek zamanlı şekil ve gerilme algılaması gerçekleştirebilen biryapısal sağlık izleme sistemi entegre edilebilir. Bu çalışmada, Rafine ZikzakTeorisinin (RZT) temel olarak kullanıldığı ters sonlu elemanlar yöntemine(iFEM) dayanan yeni bir dört düğümlü ters plaka elemanı önerilmiştir. BuradakiiFEM-RZT formülasyonu, membran, eğilme, enine kayma ve zikzak kesitgerinimlerini içeren RZT'nin bütün gerinim ölçüleri kümesini kullanan ağırlıklıen küçük kareler fonksiyonunu en aza indirgemektedir. Mevcut elemanın temelfaydası, herhangi bir yükleme bilgisi gerektirmemesi ve şekil algılaması içinyalnızca yerleşik sensörlerden alınan gerinim ölçer ölçümlerini kullanmasıdır.Diğer bir avantajı, aynı zamanda genel bir lamine kompozit ve sandviç yapısınıfının tam alan ve üç boyutlu yer değiştirmelerini ve gerilmelerini tahmin etmekiçinde uygulanabilir olmasıdır. Mevcut elemanın potansiyel yeteneklerinigöstermek için, farklı laminasyon tiplerine sahip olan bir lamine kompozitplaka üzerinde çeşitli vaka çalışmaları yapılmıştır. İFEM-RZT sonuçları ve sonderece hassas sonlu elemanlar çözümleri arasındaki karşılaştırmaya göre, mevcutyaklaşımın üstün doğruluğu ortaya konmuştur. KW - Yapısal Sağlık İzleme KW - Ters Sonlu Elemanlar Yöntemi (iFEM) KW - Rafine Zikzak Teorisi (RZT) KW - Kompozit ve Sandviç Yapılar KW - Şekil ve Gerilme Algılaması N2 - Compositematerials are widely utilized in manufacturing process of primary load bearingcomponents of various engineering structures. However, the structural integrityof composites are likely to diminish due to damage accumulation over theservice life of the structure. A structural health monitoring (SHM) system thatcan perform real-time shape and stress sensing can be integrated to compositestructures for condition-based maintenance scheduling. In this study, a newfour-node inverse-plate element, is proposed based on the inverse finiteelement method (iFEM) in which the Refined Zigzag Theory (RZT) is used as a basis.Herein the iFEM-RZT formulation minimizes a weighted least-squares functionalthat uses the complete set of strain measures of RZT, that include themembrane, bending, transverse shear and zigzag section strains. The mainbenefit of the present element is that it does not require any loadinginformation and uses only strain gauge measurements taken from the on-boardsensors to perform shape sensing. Another advantage is that it is alsoapplicable to predict full field and three-dimensional displacements andstresses of a general class of laminated composite and sandwich structures. Todemonstrate the potential capabilities of the present element, various casestudies were performed on a laminated composite plate having different types oflaminations. According to the comparison between iFEM-RZT results and highlyaccurate finite element solutions, the superior accuracy of the presentapproach was revealed. CR - Herrmann, A.S., Zahlen, P.C., Zuardy, I., Sandwich structures technology in commercial aviation, Sandwich Structures 7: Advancing with Sandwich Structures and Materials, Springer, Netherlands, 13-26, 2005. doi:10.1007/1-4020-3848-8_2 CR - Vadakke, V., Carlsson, L.A., Experimental investigation of compression failure of sandwich specimens with face/core debond, Composites Part B: Engineering, 35:6, 583-590, 2004. doi:10.1016/j.compositesb.2003.10.004 CR - Zou, Y., Tong, L.P.S.G., Steven, G.P., Vibration-based model-dependent damage (delamination) identification and health monitoring for composite structures—a review, Journal of Sound and Vibration, 230:2, 357-378, 2000. doi:10.1006/jsvi.1999.2624 CR - Tikhonov, A.N., Arsenin, V.Y., Solutions of Ill-Posed Problems, Winston and Sons, Washington, DC, 1977. doi:10.1137/1021044 CR - Davis, M.A., Kersey, A.D., Sirkis, J., Friebele, E.J., Shape and vibration mode sensing using a fiber optic Bragg grating array, Smart Materials and Structures, 5:6, 759-765, 1996. doi:10.1088/0964-1726/5/6/005 CR - Bogert, P.B., Haugse, E.D., Gehrki, R.E., Structural shape identification from experimental strains using a modal transformation technique, Proceedings of 44th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics and Materials Conference, Norfolk, VA, 2003. doi:10.2514/6.2003-1626 CR - Tessler, A., Spangler, J.L., A variational principal for reconstruction of elastic deformation of shear deformable plates and shells, NASA TM-2003-212445, 2003. CR - Tessler, A., Spangler, J.L., A least-squares variational method for full-field reconstruction of elastic deformations in shear-deformable plates and shells, Computer Methods in Applied Mechanics and Engineering, 19:2, 327-339, 2005. doi:10.1016/j.cma.2004.03.015 CR - Tessler, A., Spangler, J.L., Inverse FEM for full-field reconstruction of elastic deformations in shear deformable plates and shells, Proceedings of 2nd European Workshop on Structural Health Monitoring. Munich, Germany, 2004. CR - Vazquez, S.L., Tessler, A., Quach, C.C., Cooper, E.G., Parks, J., Spangler J.L., Structural health monitoring using high-density fiber optic strain sensor and inverse finite element methods, NASA TM-2005-213761, 2005. CR - Kefal, A., Oterkus, E., Tessler, A., Spangler, J.L. A quadrilateral inverse-shell element with drilling degrees of freedom for shape sensing and structural health monitoring. Engineering Science and Technology, an International Journal, 19, 1299-1313, 2016. doi:10.1016/j.jestch.2016.03.006 CR - Kefal, A., Oterkus, E., Displacement and stress monitoring of a chemical tanker based on inverse finite element method, Ocean Engineering, 112, 33-46, 2016. doi:10.1016/j.oceaneng.2015.11.032 CR - Kefal, A., Oterkus, E., Displacement and stress monitoring of a Panamax containership using inverse finite element method, Ocean Engineering, 119, 16-29, 2016. doi:10.1016/j.oceaneng.2016.04.025 CR - Kefal, A., Mayang, J.B., Oterkus, E., Yildiz, M., Three dimensional shape and stress monitoring of bulk carriers based on iFEM methodology, Ocean Engineering, 147, 256-267, 2018. doi:10.1016/j.oceaneng.2017.10.040 CR - Gherlone, M., Cerracchio, P., Mattone, M., Di Sciuva, M., Tessler, A., Shape sensing of 3D frame structures using an inverse finite element method, International Journal of Solids and Structures, 49:22, 3100-3112, 2012. doi:10.1016/j.ijsolstr.2012.06.009 CR - Gherlone, M., Cerracchio, P., Mattone, M., Di Sciuva, M., Tessler, A., An inverse finite element method for beam shape sensing: theoretical framework and experimental validation, Smart Materials and Structures, 23:4, 045027, 2014. doi:10.1088/0964-1726/23/4/045027 CR - Zhao, Y., Du, J., Bao, H., Xu, Q., Optimal Sensor Placement Based on Eigenvalues Analysis for Sensing Deformation of Wing Frame Using iFEM, Sensors, 18(8), 2424, 2018. doi:10.3390/s18082424 CR - Mooij C., Martinez, M., Benedictus, R., iFEM benchmark problems for solid elements, Smart Materials and Structures, In-Press, 2019. doi:10.1088/1361-665X/ab136f CR - Miller, E.J., Manalo, R., Tessler, A., Full-Field Reconstruction of Structural Deformations and Loads from Measured Strain Data on a Wing Test Article using the Inverse Finite Element Method, NASA TM-2016-219407, 2016. CR - Kefal, A., Yildiz, M., Modeling of Sensor Placement Strategy for Shape Sensing and Structural Health Monitoring of a Wing-Shaped Sandwich Panel Using Inverse Finite Element Method, Sensors, 17:12, 2775, 2017. doi:10.3390/s17122775. CR - Tessler, A., Di Sciuva, M., Gherlone, M., A consistent refinement of first-order shear deformation theory for laminated composite and sandwich plates using improved zigzag kinematics, Journal of Mechanics of Materials and Structures, 5:2, 341-367, 2010. doi:10.2140/jomms.2010.5.341 CR - Cerracchio, P., Gherlone, M., Di Sciuva, M., Tessler, A., A novel approach for displacement and stress monitoring of sandwich structures based on the inverse finite element method, Composite Structures, 127, 69-76, 2015. doi:10.1016/j.compstruct.2015.02.081 CR - Kefal, A., Tessler, A., Oterkus, E., An enhanced inverse finite element method for displacement and stress monitoring of multilayered composite and sandwich structures, Composite Structures, 179, 514-540, 2017. doi:10.1016/j.compstruct.2017.07.078 CR - Kefal, A., Tessler, A., Oterkus, E., An Efficient Inverse Finite Element Method for Shape and Stress Sensing of Laminated Composite and Sandwich Plates and Shells, NASA/TP-2018-220079, 2018. CR - Tessler, A., Hughes, T.J.R., An improved treatment of transverse shear in the Mindlin-type four-node quadrilateral element, Computer Methods in Applied Mechanics and Engineering, 39:3, 311-335, 1983. doi:10.1016/0045-7825(83)90096-8 UR - https://doi.org/10.17341/gazimmfd.557477 L1 - http://dergipark.org.tr/tr/download/article-file/1211267 ER -