Abstract
An important issue in the existing inverse finite element method (iFEM) is that reconstruction accuracy cannot satisfy the analytical demand for the flexible structure. To address this issue, this paper presents a multi-nodes iFEM that reconstructs the displacement of structure based on surface measurement strains in real time. Meanwhile, in light of the response characteristics of iFEM, an innovative interpolation method is adapted to regenerate the full field deformation again. The proposed method substantially expands the size of inverse elements, which reduces the numbers of sensors and improves the reconstruction accuracy. The effectiveness of the method to predict displacement is verified by a flexible antenna panel subjected typical boundary conditions.
Highlights
Today, with the rapid development of integrated antenna of radar technology, morphing-wing-embedded antenna arrays have an extensive application, such as military and civilian aerospace [1]
To settle the inverse problem, Tikhonov et al proposed a method included a regularization term to enhance the smoothness degree for approximating solution [6], and the technique was extensively employed for the inverse procedure
During the past few decades, the utilization of shape sensing algorithms for practical engineering has been demonstrated extensively. These approaches are mainly classified into the inverse finite element method, modal method, and Ko’s displacement method
Summary
With the rapid development of integrated antenna of radar technology, morphing-wing-embedded antenna arrays have an extensive application, such as military and civilian aerospace [1] These structures are subjected to complex loads, such as wind and atmospheric pressure, which will produce various types of deformation leading to decrease the pointing accuracy of array antenna dramatically [2]. The method on dynamically monitoring the deformation of structure, known as shape sensing, and the process of precisely approximating the integrated displacements based on strain measurement belongs to strictly the inverse problem [5]. During the past few decades, the utilization of shape sensing algorithms for practical engineering has been demonstrated extensively These approaches are mainly classified into the inverse finite element method (iFEM), modal method, and Ko’s displacement method. This paper establishes a novel interpolation method to regenerate the structural deformation field based on data from the multi-node inverse finite element method. The conclusions about the superiorities of the refined restructure methodology are emphasized
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