Shape Sensing of Plate and Shell Structures Undergoing Large Displacements Using the Inverse Finite Element Method

Tessler, Alexander; Roy, Rinto; Esposito, Marco; Surace, Cecilia; Gherlone, Marco

doi:10.1155/2018/8076085

Cited by 32 publications

(20 citation statements)

References 11 publications

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“…The iFEM has been developed for 1D beams and frames [23], 2D plates and shells [24,25], and multi-layered composite and sandwich plates [26,27]. The iFEM can analyze both the static and dynamic response of a structure [23,28], in the linear and non-linear displacement regimes [29], without any prior knowledge of the structure's material properties or loading conditions. The use of iFEM for SHM has been demonstrated on simple beams using fiber optic strain measurements [30] and on thin plates using strain measurements from a grid of strain rosettes [31,32].…”

Section: Introductionmentioning

confidence: 99%

Full-Field Strain Reconstruction Using Uniaxial Strain Measurements: Application to Damage Detection

et al. 2021

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This work investigates the inverse problem of reconstructing the continuous displacement field of a structure using a spatially distributed set of discrete uniaxial strain data. The proposed technique is based on the inverse Finite Element Method (iFEM), which has been demonstrated to be suitable for full-field displacement, and subsequently strain, reconstruction in beam and plate structures using discrete or continuous surface strain measurements. The iFEM uses a variationally based approach to displacement reconstruction, where an error functional is discretized using a set of finite elements. The effects of position and orientation of uniaxial strain measurements on the iFEM results are investigated, and the use of certain strain smoothing strategies for improving reconstruction accuracy is discussed. Reconstruction performance using uniaxial strain data is examined numerically using the problem of a thin plate with an internal crack. The results obtained highlight that strain field reconstruction using the proposed strategy can provide useful information regarding the presence, position, and orientation of damage on the plate.

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Section: Introductionmentioning

confidence: 99%

Full-Field Strain Reconstruction Using Uniaxial Strain Measurements: Application to Damage Detection

et al. 2021

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“…A large-displacement analysis using the shell iFEM theory has been performed by Tessler et al [ 17 ]. An incremental procedure is carried out to take into account the geometric nonlinearities, where at each load step, the measured incremental strains are used to evaluate the incremental displacements, which in turn update the geometry of the deformed shape.…”

Section: Introductionmentioning

confidence: 99%

Shape-Sensing of Beam Elements Undergoing Material Nonlinearities

Savino

Gherlone

Tondolo

et al. 2021

Sensors

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The use of in situ strain measurements to reconstruct the deformed shape of structures is a key technology for real-time monitoring. A particularly promising, versatile and computationally efficient method is the inverse finite element method (iFEM), which can be used to reconstruct the displacement field of beam elements, plate and shell structures from some discrete strain measurements. The iFEM does not require the knowledge of the material properties. Nevertheless, it has always been applied to structures with linear material constitutive behavior. In the present work, advances are proposed to use the method also for concrete structures in civil engineering field such as bridges normally characterized by material nonlinearities due to the behavior of both steel and concrete. The effectiveness of iFEM, for simply supported reinforced concrete beam and continuous beams with load conditions that determine the yielding of reinforcing steel, is studied. In order to assess the influence on displacements and strains reconstructions, different measurement stations and mesh configurations are considered. Hybrid procedures employing iFEM analysis supported by bending moment-curvature relationship are proposed in case of lack of input data in plastic zones. The reliability of the results obtained is tested and commented on to highlight the effectiveness of the approach.

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“…On the other hand, the iCS8 element employs the Lagrangian serendipity (isoparametric) shape functions of an eight-node quadrilateral element [ 36 ]. To date, the iMIN3 element was extensively scrutinized for the numerical and experimental shape-sensing applications of plate structures with and without large deformations [ 37 , 38 ]. Besides this, the iQS4 was numerically demonstrated to be a practical element in modelling and obtaining accurate sensor configurations for the displacement monitoring of complex marine structures such as bulk carriers, chemical tankers, and offshore structures, among others [ 39 , 40 , 41 , 42 ].…”

Section: Introductionmentioning

confidence: 99%

A Comparative and Review Study on Shape and Stress Sensing of Flat/Curved Shell Geometries Using C0-Continuous Family of iFEM Elements

Abdollahzadeh

Kefal

Yıldız

2020

Sensors

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In this study, we methodologically compare and review the accuracy and performance of C0-continuous flat and curved inverse-shell elements (i.e., iMIN3, iQS4, and iCS8) for inverse finite element method (iFEM) in terms of shape, strain, and stress monitoring, and damage detection on various plane and curved geometries subjected to different loading and constraint conditions. For this purpose, four different benchmark problems are proposed, namely, a tapered plate, a quarter of a cylindrical shell, a stiffened curved plate, and a curved plate with a degraded material region in stiffness, representing a damage. The complexity of these test cases is increased systematically to reveal the advantages and shortcomings of the elements under different sensor density deployments. The reference displacement solutions and strain-sensor data used in the benchmark problems are established numerically, utilizing direct finite element analysis. After performing shape-, strain-, and stress-sensing analyses, the reference solutions are compared to the reconstructed solutions of iMIN3, iQS4, and iCS8 models. For plane geometries with sparse sensor configurations, these three elements provide rather close reconstructed-displacement fields with slightly more accurate stress sensing using iCS8 than when using iMIN3/iQS4. It is demonstrated on the curved geometry that the cross-diagonal meshing of a quadrilateral element pattern (e.g., leading to four iMIN3 elements) improves the accuracy of the displacement reconstruction as compared to a single-diagonal meshing strategy (e.g., two iMIN3 elements in a quad-shape element) utilizing iMIN3 element. Nevertheless, regardless of any geometry, sensor density, and meshing strategy, iQS4 has better shape and stress-sensing than iMIN3. As the complexity of the problem is elevated, the predictive capabilities of iCS8 element become obviously superior to that of flat inverse-shell elements (e.g., iMIN3 and iQS4) in terms of both shape sensing and damage detection. Comprehensively speaking, we envisage that the set of scrupulously selected test cases proposed herein can be reliable benchmarks for testing/validating/comparing for the features of newly developed inverse elements.

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Shape Sensing of Plate and Shell Structures Undergoing Large Displacements Using the Inverse Finite Element Method

Cited by 32 publications

References 11 publications

Full-Field Strain Reconstruction Using Uniaxial Strain Measurements: Application to Damage Detection

Full-Field Strain Reconstruction Using Uniaxial Strain Measurements: Application to Damage Detection

Shape-Sensing of Beam Elements Undergoing Material Nonlinearities

A Comparative and Review Study on Shape and Stress Sensing of Flat/Curved Shell Geometries Using C0-Continuous Family of iFEM Elements

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