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基于逆有限元法的板结构形状传感:高效应变传感器图案研究

Shape Sensing of Plate Structures Using the Inverse Finite Element Method: Investigation of Efficient Strain-Sensor Patterns.

作者信息

Roy Rinto, Tessler Alexander, Surace Cecilia, Gherlone Marco

机构信息

Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy.

Structural Mechanics and Concepts Branch, NASA Langley Research Center, Mail Stop 190, Hampton, VA 23681-2199, USA.

出版信息

Sensors (Basel). 2020 Dec 9;20(24):7049. doi: 10.3390/s20247049.

DOI:10.3390/s20247049
PMID:33317035
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7763440/
Abstract

Methods for real-time reconstruction of structural displacements using measured strain data is an area of active research due to its potential application for Structural Health Monitoring (SHM) and morphing structure control. The inverse Finite Element Method (iFEM) has been shown to be well suited for the full-field reconstruction of displacements, strains, and stresses of structures instrumented with discrete or continuous strain sensors. In practical applications, where the available number of sensors may be limited, the number and sensor positions constitute the key parameters. Understanding changes in the reconstruction quality with respect to sensor position is generally difficult and is the aim of the present work. This paper attempts to supplement the current iFEM modeling knowledge through a rigorous evaluation of several strain-sensor patterns for shape sensing of a rectangular plate. Line plots along various sections of the plate are used to assess the reconstruction quality near and far away from strain sensors, and the nodal displacements are studied as the sensor density increases. The numerical results clearly demonstrate the effectiveness of the strain sensors distributed along the plate boundary for reconstructing relatively simple displacement patterns, and highlight the potential of cross-diagonal strain-sensor patterns to improve the displacement reconstruction of more complex deformation patterns.

摘要

利用实测应变数据实时重建结构位移的方法是一个活跃的研究领域,因为它在结构健康监测(SHM)和变形结构控制方面具有潜在应用价值。逆有限元法(iFEM)已被证明非常适合于对装有离散或连续应变传感器的结构进行位移、应变和应力的全场重建。在实际应用中,可用传感器数量可能有限,传感器数量和位置构成关键参数。了解重建质量相对于传感器位置的变化通常很困难,这也是本研究的目的。本文试图通过对矩形板形状传感的几种应变传感器模式进行严格评估,来补充当前的iFEM建模知识。沿板的各个截面的线图用于评估靠近和远离应变传感器处的重建质量,并研究随着传感器密度增加节点位移的情况。数值结果清楚地表明了沿板边界分布的应变传感器在重建相对简单位移模式方面的有效性,并突出了交叉对角线应变传感器模式在改善更复杂变形模式的位移重建方面的潜力。

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引用本文的文献

1
Sensor Placement Optimization for Shape Sensing of Plates and Shells Using Genetic Algorithm and Inverse Finite Element Method.基于遗传算法和逆有限元法的板壳形状传感的传感器布置优化。
Sensors (Basel). 2022 Nov 28;22(23):9252. doi: 10.3390/s22239252.

本文引用的文献

1
Isogeometric iFEM Analysis of Thin Shell Structures.薄壳结构的等几何 iFEM 分析。
Sensors (Basel). 2020 May 8;20(9):2685. doi: 10.3390/s20092685.
2
Modeling of Sensor Placement Strategy for Shape Sensing and Structural Health Monitoring of a Wing-Shaped Sandwich Panel Using Inverse Finite Element Method.基于逆有限元法的翼形夹层板形状传感与结构健康监测传感器布置策略建模
Sensors (Basel). 2017 Nov 30;17(12):2775. doi: 10.3390/s17122775.