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

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

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

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.
LanguageEnglish
Pages1299-1313
Number of pages14
JournalEngineering Science and Technology, an International Journal
Volume19
Issue number3
Early online date13 Apr 2016
DOIs
Publication statusPublished - 30 Sep 2016

Fingerprint

Structural health monitoring
Degrees of freedom (mechanics)
Drilling
Strain measurement
Finite element method
Sensors
Cantilever beams
Inverse problems
Kinematics
Geometry

Keywords

  • structural health monitoring
  • inverse finite element method
  • shell structures

Cite this

@article{f34104c5453441d9b268938ac93eef1b,
title = "A quadrilateral inverse-shell element with drilling degrees of freedom for shape sensing and structural health monitoring",
abstract = "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.",
keywords = "structural health monitoring, inverse finite element method, shell structures",
author = "Adnan Kefal and Erkan Oterkus and Alexander Tessler and Spangler, {Jan L.}",
year = "2016",
month = "9",
day = "30",
doi = "10.1016/j.jestch.2016.03.006",
language = "English",
volume = "19",
pages = "1299--1313",
journal = "Engineering Science and Technology, an International Journal",
issn = "2215-0986",
number = "3",

}

A quadrilateral inverse-shell element with drilling degrees of freedom for shape sensing and structural health monitoring. / Kefal, Adnan; Oterkus, Erkan; Tessler, Alexander; Spangler, Jan L.

In: Engineering Science and Technology, an International Journal, Vol. 19, No. 3, 30.09.2016, p. 1299-1313.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A quadrilateral inverse-shell element with drilling degrees of freedom for shape sensing and structural health monitoring

AU - Kefal, Adnan

AU - Oterkus, Erkan

AU - Tessler, Alexander

AU - Spangler, Jan L.

PY - 2016/9/30

Y1 - 2016/9/30

N2 - 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.

AB - 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.

KW - structural health monitoring

KW - inverse finite element method

KW - shell structures

U2 - 10.1016/j.jestch.2016.03.006

DO - 10.1016/j.jestch.2016.03.006

M3 - Article

VL - 19

SP - 1299

EP - 1313

JO - Engineering Science and Technology, an International Journal

T2 - Engineering Science and Technology, an International Journal

JF - Engineering Science and Technology, an International Journal

SN - 2215-0986

IS - 3

ER -