Shape sensing of multilayered composite and sandwich beams based on Refined Zigzag Theory and inverse finite element method

Zhao, Feifei; Bao, Hong; Liu, Jianfeng; Li, Kexiang

doi:10.1016/j.compstruct.2020.113321

Cited by 24 publications

(7 citation statements)

References 27 publications

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“…Zhao et al proposed an iFEM method based on isogeometric analysis for reconstructing the displacement field for the beam with variable cross-section [21]. Zhao et al adopted the refined zigzag theory (RZT) for multilayered composite and sandwich structures in the iFEM framework [22]. Furthermore, Kefal et al proposed a three-node RZT element for shape monitoring of a wedge structure with a hole [23].…”

Section: Introductionmentioning

confidence: 99%

A piecewise inverse finite element method for shape sensing of the morphing wing fishbone

Huang,

Dong,

Yuan

2024

Smart Mater. Struct.

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The shape sensing technology plays significant role in enhancing the structural performance and flight efficiency of the morphing aircraft by providing feedback to actuation and control systems in real-time. The inverse finite element method (iFEM) is a fast, accurate and robust shape sensing method based on in-situ surface strain measurements. However, the conventional iFEM becomes less effective when applying for real engineering structures. Thus, this paper proposes a piecewise inverse finite element (P-iFEM) method based on a two-node inverse Hermite beam element (iHB2) for the load-bearing structure of the morphing wing. The P-iFEM method discretizes the structure into a combination of rigid and elastic parts, based on the geometry of the structure, when assembling the inverse elements. The Hermite polynomial shape function in iHB2 is adopted to increase the reconstruction efficiency, as only one degree of freedom of deflection is required to achieve the C1-continuity to reconstruct the displacement fields. The high accuracy and efficiency of the proposed method is validated with a numerical fishbone model. Finally, the proposed method is applied on a fishbone structure of a real adaptive deformed wing with high accuracy.

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Section: Introductionmentioning

confidence: 99%

A piecewise inverse finite element method for shape sensing of the morphing wing fishbone

Huang,

Dong,

Yuan

2024

Smart Mater. Struct.

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“…Based on Cho and Parmerter's model, Nguyen et al [39,40] addressed the viscoelastic study of laminated composite plates. In the RZT-based framework, various problems and study cases have been addressed, including functionally graded and carbonnanotube-reinforced structures [41][42][43], the transient response of innovative multilayered plates [44,45], delamination and damage assessment [46][47][48][49][50], thermal and buckling load conditions [51,52], linear and non-linear analyses [53][54][55], laminated shell problems [56][57][58], angle-ply lamination schemes [59][60][61], laminates with viscoelastic layers [62,63], solutions using the peridynamic differential operator [64,65], optimisation [66], isogeometric analysis (IGA) [67,68] and inverse FEM studies [69][70][71][72][73] for structural health monitoring purposes.…”

Section: Introductionmentioning

confidence: 99%

New Accomplishments on the Equivalence of the First-Order Displacement-Based Zigzag Theories through a Unified Formulation

Di Sciuva,

Sorrenti

2024

J. Compos. Sci.

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The paper presents a critical review and new accomplishments on the equivalence of the first-order displacement-based zigzag theories for laminated composite and sandwich structures. Zigzag theories (ZZTs) have widely spread among researchers over the last few decades thanks to their accuracy in predicting the response of multilayered composite and sandwich structures while retaining the simplicity of their underlying equivalent single-layer (ESL) theory. The displacement field consists of two main contributions: the global one, able to describe the overall structural behaviour, and the local layer-wise one that considers the transverse shear continuity at the layer interfaces that describe the “zigzag” displacement pattern typical of multilayered structures. In the framework of displacement-based linear ZZTs, various assumptions have been made on the local contribution, and different theories have been deduced. This paper aims to provide a unified formulation for first-order ZZTs, highlighting some common aspects and underlying equivalencies with existing formulations. The mathematical demonstrations and the numerical examples prove the equivalence of the approaches to characterising local zigzag enrichment. Finally, it is demonstrated that the kinematic assumptions are the discriminants of the ZZTs’ accuracy.

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“…The displacement field is obtained by solving a least-squares error functional defined between the analytical and experimental sectional strains, representing the beam's axial, bending, transverse shear, and torsional deformation. Later works feature formulations for slender beams [53], handling cross-sectional complexities [54,55], and composite structures [56]. Numerical and experimental application of the 1D iFEM feature the monitoring of circular and airfoil beams [54,57], radio telescope reflectors [58], wing structures [59], subsea pipelines [60], etc.…”

Section: Introductionmentioning

confidence: 99%

Hybrid Shell-Beam Inverse Finite Element Method for the Shape Sensing of Stiffened Thin-Walled Structures: Formulation and Experimental Validation on a Composite Wing-Shaped Panel

Esposito

Roy

Surace

et al. 2023

Sensors

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This work presents a novel methodology for the accurate and efficient elastic deformation reconstruction of thin-walled and stiffened structures from discrete strains. It builds on the inverse finite element method (iFEM), a variationally-based shape-sensing approach that reconstructs structural displacements by matching a set of analytical and experimental strains in a least-squares sense. As iFEM employs the finite element framework to discretize the structural domain and as the displacements and strains are approximated using element shape functions, the kind of element used influences the accuracy and efficiency of the iFEM analysis. This problem is addressed in the present work through a novel discretization scheme that combines beam and shell inverse elements to develop an iFEM model of the structure. Such a hybrid discretization paradigm paves the way for more accurate shape-sensing of geometrically complex structures using fewer sensor measurements and lower computational effort than traditional approaches. The hybrid iFEM is experimentally demonstrated in this work for the shape sensing of bending and torsional deformations of a composite stiffened wing panel instrumented with strain rosettes and fiber-optic sensors. The experimental results are accurate, robust, and computationally efficient, demonstrating the potential of this hybrid scheme for developing an efficient digital twin for online structural monitoring and control.

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Shape sensing of multilayered composite and sandwich beams based on Refined Zigzag Theory and inverse finite element method

Cited by 24 publications

References 27 publications

A piecewise inverse finite element method for shape sensing of the morphing wing fishbone

A piecewise inverse finite element method for shape sensing of the morphing wing fishbone

New Accomplishments on the Equivalence of the First-Order Displacement-Based Zigzag Theories through a Unified Formulation

Hybrid Shell-Beam Inverse Finite Element Method for the Shape Sensing of Stiffened Thin-Walled Structures: Formulation and Experimental Validation on a Composite Wing-Shaped Panel

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