Damage Detection of Laminated Rubber Bearings Based on the Antiresonance Frequencies of Periodic Structure and Its Sensitivity Analysis

An isolation bearing consumes most of the seismic energy of a structure and is vulnerable to destruction. The performance of isolation bearings is usually evaluated according to the global stiffness and energy dissipation capacity. However, the early minor damage in isolation bearings is difficult t...

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Main Authors: Ying Zhang, Hongping Zhu, Shun Weng
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2022/4297011
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author Ying Zhang
Hongping Zhu
Shun Weng
author_facet Ying Zhang
Hongping Zhu
Shun Weng
author_sort Ying Zhang
collection DOAJ
description An isolation bearing consumes most of the seismic energy of a structure and is vulnerable to destruction. The performance of isolation bearings is usually evaluated according to the global stiffness and energy dissipation capacity. However, the early minor damage in isolation bearings is difficult to identify. In this study, a damage detection scheme for the isolation bearing is proposed by focusing on the antiresonance of the quasiperiodic structure. Firstly, a laminated rubber bearing was simplified as a monocoupled periodic rubber-steel structure. The characteristic equation of the driving point antiresonance frequency of the periodic system was achieved via the dynamic stiffness method. Secondly, the sensitivity coefficient of the driving point antiresonance, which was obtained from the first-order derivative of the antiresonance frequency, with respect to the damage scaling parameter was derived using the antiresonance frequency characteristic equation. Thirdly, the optimised driving points of the antiresonance frequencies were selected by means of sensitivity analysis. Finally, from the measured changes in the antiresonance frequencies, the damage was identified by solving the sensitivity identification equation via a numerical optimisation method. The application of the proposed method to laminated rubber bearings under various damage cases demonstrates the feasibility of this method. This study has proven that changes in the shear modulus of each rubber layer can be identified accurately.
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spelling doaj-art-f6538536a2ed46c88f2b16d17fa129d52025-02-03T05:57:21ZengWileyShock and Vibration1875-92032022-01-01202210.1155/2022/4297011Damage Detection of Laminated Rubber Bearings Based on the Antiresonance Frequencies of Periodic Structure and Its Sensitivity AnalysisYing Zhang0Hongping Zhu1Shun Weng2School of Civil & Hydraulic EngineeringSchool of Civil & Hydraulic EngineeringSchool of Civil & Hydraulic EngineeringAn isolation bearing consumes most of the seismic energy of a structure and is vulnerable to destruction. The performance of isolation bearings is usually evaluated according to the global stiffness and energy dissipation capacity. However, the early minor damage in isolation bearings is difficult to identify. In this study, a damage detection scheme for the isolation bearing is proposed by focusing on the antiresonance of the quasiperiodic structure. Firstly, a laminated rubber bearing was simplified as a monocoupled periodic rubber-steel structure. The characteristic equation of the driving point antiresonance frequency of the periodic system was achieved via the dynamic stiffness method. Secondly, the sensitivity coefficient of the driving point antiresonance, which was obtained from the first-order derivative of the antiresonance frequency, with respect to the damage scaling parameter was derived using the antiresonance frequency characteristic equation. Thirdly, the optimised driving points of the antiresonance frequencies were selected by means of sensitivity analysis. Finally, from the measured changes in the antiresonance frequencies, the damage was identified by solving the sensitivity identification equation via a numerical optimisation method. The application of the proposed method to laminated rubber bearings under various damage cases demonstrates the feasibility of this method. This study has proven that changes in the shear modulus of each rubber layer can be identified accurately.http://dx.doi.org/10.1155/2022/4297011
spellingShingle Ying Zhang
Hongping Zhu
Shun Weng
Damage Detection of Laminated Rubber Bearings Based on the Antiresonance Frequencies of Periodic Structure and Its Sensitivity Analysis
Shock and Vibration
title Damage Detection of Laminated Rubber Bearings Based on the Antiresonance Frequencies of Periodic Structure and Its Sensitivity Analysis
title_full Damage Detection of Laminated Rubber Bearings Based on the Antiresonance Frequencies of Periodic Structure and Its Sensitivity Analysis
title_fullStr Damage Detection of Laminated Rubber Bearings Based on the Antiresonance Frequencies of Periodic Structure and Its Sensitivity Analysis
title_full_unstemmed Damage Detection of Laminated Rubber Bearings Based on the Antiresonance Frequencies of Periodic Structure and Its Sensitivity Analysis
title_short Damage Detection of Laminated Rubber Bearings Based on the Antiresonance Frequencies of Periodic Structure and Its Sensitivity Analysis
title_sort damage detection of laminated rubber bearings based on the antiresonance frequencies of periodic structure and its sensitivity analysis
url http://dx.doi.org/10.1155/2022/4297011
work_keys_str_mv AT yingzhang damagedetectionoflaminatedrubberbearingsbasedontheantiresonancefrequenciesofperiodicstructureanditssensitivityanalysis
AT hongpingzhu damagedetectionoflaminatedrubberbearingsbasedontheantiresonancefrequenciesofperiodicstructureanditssensitivityanalysis
AT shunweng damagedetectionoflaminatedrubberbearingsbasedontheantiresonancefrequenciesofperiodicstructureanditssensitivityanalysis