A quadrilateral inverse-shell element with drilling degrees of freedom for shape sensing and structural health monitoring

By Adnan Kefal, Erkan Oterkus, Alexander Tessler, Jan L. Spangler. 2016

242 citations recorded by the source corpus.

The inverse Finite Element Method (iFEM) is a state-of-the-art methodology originally introduced by Tessler and Spangler for real-time reconstruction of full-field structural displacements in plate and shell structures that are instrumented by strain sensors. This inverse problem is commonly known as shape sensing. In this effort, a new four-node quadrilateral inverse-shell element, iQS4, is developed that expands the library of existing iFEM-based elements. This new element includes hierarchical drilling rotation degrees-of-freedom (DOF) and further extends the practical usefulness of iFEM for shape sensing analysis of large-scale structures. The iFEM/iQS4 formulation is derived from a weighted-least-squares functional that has Mindlin theory as its kinematic framework. Two validation problems, (1) a cantilevered plate under static transverse force near the free tip, and (2) a short cantilever beam under shear loading, are solved and discussed in detail. Following the validation cases, the applicability of the iQS4 element to more complex structures is demonstrated by the analysis of a thin-walled cylinder. For this problem, the effects of noisy strain measurements on the accuracy of the iFEM solution are examined using strain measurements that involve five and ten percent random noise, respectively. Finally, the effect of sensor locations, number of sensors, the discretization of the geometry, and the influence of noise on the strain measurements are assessed with respect to the solution accuracy.

Subfields: Civil and Structural Engineering, Computer Vision and Pattern Recognition, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/1a979ec4b483fda29d0aaccc06386740fc86bd5a

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In Civil and Structural Engineering

In Computer Vision and Pattern Recognition

In Mechanics of Materials

Citations in the corpus

An enhanced inverse finite element method for displacement and stress monitoring of multilayered composite and sandwich structures (2017, methodology): “Since the first publication of the iFEM algorithm in [26, 27], various theoretical studies including a three-node inverse shell element [28], a four-node quadrilateral inverseshell element [29], and an efficient inverse frame element [12, 30-32] have been devoted to expanding the horizon of the iFEM”
Displacement and stress monitoring of a Panamax containership using inverse finite element method (2016, methodology): “Quadrilateral inverse-shell element The four-node quadrilateral inverse-shell element (iQS4), developed by Kefal et al. (2016), is adopted to demonstrate the iFEM formulation for shells.”
Shape sensing methods: Review and experimental comparison on a wing-shaped plate (2018, methodology): “In [47,48], a quadrilateral inverse shell element is developed and applied to the shape sensing of a cantilevered plate and of a stiffened plate under bending loads.”