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Isogeometric iFEM Analysis of Thin Shell Structures

by 1,2,3 and 4,*
Faculty of Engineering and Natural Sciences, Sabanci University, Tuzla, Istanbul 34956, Turkey
Integrated Manufacturing Technologies Research and Application Center, Sabanci University, Tuzla, Istanbul 34956, Turkey
Composite Technologies Center of Excellence, Istanbul Technology Development Zone, Sabanci University-Kordsa Global, Pendik, Istanbul 34906, Turkey
PeriDynamics Research Centre, Department of Naval Architecture, Ocean and Marine Engineering, University of Strathclyde, Glasgow G4 0LZ, UK
Author to whom correspondence should be addressed.
This paper is an extended version of the paper: Kefal, A.; Oterkus, E. Shape sensing of aerospace structures by coupling of isogeometric analysis and inverse finite element method. In Proceedings of the 58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Grapevine, TX, USA, 9–13 January 2017.
Sensors 2020, 20(9), 2685;
Received: 28 March 2020 / Revised: 4 May 2020 / Accepted: 7 May 2020 / Published: 8 May 2020
(This article belongs to the Special Issue Shape Sensing)
Shape sensing is one of most crucial components of typical structural health monitoring systems and has become a promising technology for future large-scale engineering structures to achieve significant improvement in their safety, reliability, and affordability. The inverse finite element method (iFEM) is an innovative shape-sensing technique that was introduced to perform three-dimensional displacement reconstruction of structures using in situ surface strain measurements. Moreover, isogeometric analysis (IGA) presents smooth function spaces such as non-uniform rational basis splines (NURBS), to numerically solve a number of engineering problems, and recently received a great deal of attention from both academy and industry. In this study, we propose a novel “isogeometric iFEM approach” for the shape sensing of thin and curved shell structures, through coupling the NURBS-based IGA together with the iFEM methodology. The main aim is to represent exact computational geometry, simplify mesh refinement, use smooth basis/shape functions, and allocate a lower number of strain sensors for shape sensing. For numerical implementation, a rotation-free isogeometric inverse-shell element (isogeometric Kirchhoff–Love inverse-shell element (iKLS)) is developed by utilizing the kinematics of the Kirchhoff–Love shell theory in convected curvilinear coordinates. Therefore, the isogeometric iFEM methodology presented herein minimizes a weighted-least-squares functional that uses membrane and bending section strains, consistent with the classical shell theory. Various validation and demonstration cases are presented, including Scordelis–Lo roof, pinched hemisphere, and partly clamped hyperbolic paraboloid. Finally, the effect of sensor locations, number of sensors, and the discretization of the geometry on solution accuracy is examined and the high accuracy and practical aspects of isogeometric iFEM analysis for linear/nonlinear shape sensing of curved shells are clearly demonstrated. View Full-Text
Keywords: inverse finite element method (iFEM); isogeometric analysis; thin and curved shells; shape sensing; structural health monitoring; strain sensors; linear/nonlinear deformation inverse finite element method (iFEM); isogeometric analysis; thin and curved shells; shape sensing; structural health monitoring; strain sensors; linear/nonlinear deformation
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MDPI and ACS Style

Kefal, A.; Oterkus, E. Isogeometric iFEM Analysis of Thin Shell Structures. Sensors 2020, 20, 2685.

AMA Style

Kefal A, Oterkus E. Isogeometric iFEM Analysis of Thin Shell Structures. Sensors. 2020; 20(9):2685.

Chicago/Turabian Style

Kefal, Adnan; Oterkus, Erkan. 2020. "Isogeometric iFEM Analysis of Thin Shell Structures" Sensors 20, no. 9: 2685.

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