Mode Shape Description and Model Updating of Axisymmetric Structures Using Radial Tchebichef Moment Descriptors

A novel approach for mode shape feature extraction and model updating of axisymmetric structures based on radial Tchebichef moment (RTM) descriptors is proposed in this study. The mode shape features extracted by RTM descriptors can effectively compress the full-field modal vibration data and retain...

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Main Authors: C. Zang, H. B. Lan, D. D. Jiang, M. I. Friswell
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2021/8895583
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author C. Zang
H. B. Lan
D. D. Jiang
M. I. Friswell
author_facet C. Zang
H. B. Lan
D. D. Jiang
M. I. Friswell
author_sort C. Zang
collection DOAJ
description A novel approach for mode shape feature extraction and model updating of axisymmetric structures based on radial Tchebichef moment (RTM) descriptors is proposed in this study. The mode shape features extracted by RTM descriptors can effectively compress the full-field modal vibration data and retain the most important information. The reconstruction of mode shapes using RTM descriptors can accurately describe the mode shapes, and the simulation shows that the RTM function is superior to Zernike moment function in terms of its mathematical properties and its shape reconstruction ability. In addition, the proposed modal correlation coefficient of the RTM amplitude can overcome the main disadvantage of using the modal assurance criterion (MAC), which has difficulty in identifying double or close modes of symmetric structures. Furthermore, the model updating of axisymmetric structures based on RTM descriptors appears to be more efficient and effective than the normal model updating method directly using modal vibration data, avoids manipulating large amounts of mode shape data, and speeds up the convergence of updating parameters. The RTM descriptors used in correlation analysis and model updating are demonstrated with a cover of an aeroengine rig. The frequency deviation between the test and the FE model was reduced from 17.13% to 1.23% for the first 13 modes via the model updating process. It verified the potential to industrial application with the proposed method.
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institution Kabale University
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spelling doaj-art-9cdf3b2df55343468e2a4151c959bb342025-02-03T05:52:36ZengWileyShock and Vibration1070-96221875-92032021-01-01202110.1155/2021/88955838895583Mode Shape Description and Model Updating of Axisymmetric Structures Using Radial Tchebichef Moment DescriptorsC. Zang0H. B. Lan1D. D. Jiang2M. I. Friswell3Jiangsu Province Key Laboratory of Aerospace Power System, College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaJiangsu Province Key Laboratory of Aerospace Power System, College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaShanghai Institute of Space Propulsion, Shanghai 201112, ChinaCollege of Engineering, Swansea University, SA1 8EN, Swansea, UKA novel approach for mode shape feature extraction and model updating of axisymmetric structures based on radial Tchebichef moment (RTM) descriptors is proposed in this study. The mode shape features extracted by RTM descriptors can effectively compress the full-field modal vibration data and retain the most important information. The reconstruction of mode shapes using RTM descriptors can accurately describe the mode shapes, and the simulation shows that the RTM function is superior to Zernike moment function in terms of its mathematical properties and its shape reconstruction ability. In addition, the proposed modal correlation coefficient of the RTM amplitude can overcome the main disadvantage of using the modal assurance criterion (MAC), which has difficulty in identifying double or close modes of symmetric structures. Furthermore, the model updating of axisymmetric structures based on RTM descriptors appears to be more efficient and effective than the normal model updating method directly using modal vibration data, avoids manipulating large amounts of mode shape data, and speeds up the convergence of updating parameters. The RTM descriptors used in correlation analysis and model updating are demonstrated with a cover of an aeroengine rig. The frequency deviation between the test and the FE model was reduced from 17.13% to 1.23% for the first 13 modes via the model updating process. It verified the potential to industrial application with the proposed method.http://dx.doi.org/10.1155/2021/8895583
spellingShingle C. Zang
H. B. Lan
D. D. Jiang
M. I. Friswell
Mode Shape Description and Model Updating of Axisymmetric Structures Using Radial Tchebichef Moment Descriptors
Shock and Vibration
title Mode Shape Description and Model Updating of Axisymmetric Structures Using Radial Tchebichef Moment Descriptors
title_full Mode Shape Description and Model Updating of Axisymmetric Structures Using Radial Tchebichef Moment Descriptors
title_fullStr Mode Shape Description and Model Updating of Axisymmetric Structures Using Radial Tchebichef Moment Descriptors
title_full_unstemmed Mode Shape Description and Model Updating of Axisymmetric Structures Using Radial Tchebichef Moment Descriptors
title_short Mode Shape Description and Model Updating of Axisymmetric Structures Using Radial Tchebichef Moment Descriptors
title_sort mode shape description and model updating of axisymmetric structures using radial tchebichef moment descriptors
url http://dx.doi.org/10.1155/2021/8895583
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AT hblan modeshapedescriptionandmodelupdatingofaxisymmetricstructuresusingradialtchebichefmomentdescriptors
AT ddjiang modeshapedescriptionandmodelupdatingofaxisymmetricstructuresusingradialtchebichefmomentdescriptors
AT mifriswell modeshapedescriptionandmodelupdatingofaxisymmetricstructuresusingradialtchebichefmomentdescriptors