Structural damage identification based on frequency data and sparse regularization

NIE Zisen; LI Dongan; CAO Mingzhi; WANG Li; LU Zhongrong

doi:10.13471/j.cnki.acta.snus.2019.11.05.2019B112

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Structural damage identification based on frequency data and sparse regularization

Research articles | 更新时间：2023-11-01

- Structural damage identification based on frequency data and sparse regularization
- Acta Scientiarum Naturalium Universitatis Sunyatseni Vol. 59, Issue 6, Pages: 148-153(2020)
- 作者机构：
  
  中山大学航空航天学院，广东广州 510275
- 作者简介：
- 基金信息：
- DOI：10.13471/j.cnki.acta.snus.2019.11.05.2019B112
  CLC： O327
- Published：25 November 2020，
  
  Received：05 November 2019，
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聂滋森,李冬安,曹明志等.基于频率数据与稀疏正则化的悬臂梁损伤识别[J].中山大学学报(自然科学版),2020,59(06):148-153.

NIE Zisen,LI Dongan,CAO Mingzhi,et al.Structural damage identification based on frequency data and sparse regularization[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2020,59(06):148-153.
聂滋森,李冬安,曹明志等.基于频率数据与稀疏正则化的悬臂梁损伤识别[J].中山大学学报(自然科学版),2020,59(06):148-153. DOI： 10.13471/j.cnki.acta.snus.2019.11.05.2019B112.

NIE Zisen,LI Dongan,CAO Mingzhi,et al.Structural damage identification based on frequency data and sparse regularization[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2020,59(06):148-153. DOI： 10.13471/j.cnki.acta.snus.2019.11.05.2019B112.

摘要

振动频率是描述结构自身振动特性的数据，因其比较容易获取，常被用于识别结构损伤。但由于频率数据的量相对较少，损伤识别通常是非适定的。文章构造了一个新的基于频率数据的目标函数，发展了一种新的稀疏正则化方法以克服损伤识别问题的非适定性。该方法运用少量的频率数据就能识别出梁结构的损伤位置。最后，将该方法运用到悬臂梁结构的损伤识别实验当中去，发现识别出的损伤与实际相符，验证了该方法的正确性。

Abstract

Vibration frequency describes the structure's vibration characteristics. Since frequency data can be easily obtained， it's often applied in the identification of structural damage. However， there's a defect that the amount of frequency data is usually small， which would cause the identification to be ill-posed. This paper proposes a new method in damage identification using frequency data. In this method， we introduce sparse regularization to overcome the ill-posedness of the problem. The proposed damage identification approach can work for merely low order frequency data. Damage identification of a cantilever beam is conducted to verify the proposed approach. As a result， the exact position of the damage can be determined， which proves the approach to be functional and accurate.

关键词

损伤识别稀疏正则化频率数据交替最小化方法阈值设定法

Keywords

damage identificationsparse regularizationvibration frequency dataalternating minimization approachthreshold setting method

references

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WANG L， LU Z R， Sensitivity-free damage identification based on incomplete modal data， sparse regularization and alternating minimization approach ［J］. Mechanical Systems and Signal Processing， 2019， 120： 43-68.

潘天成，吕中荣，汪利. 基于稀疏正则化的稳态热源识别［J］. 中山大学学报（自然科学版）， 2020， 59（1）： 43-49.

PAN T， LU Z R， WANG L. Steady-state heat source identification based on sparse regularization ［J］. Acta Scientiarum Naturalium Universitatis Sunyatseni， 2020， 59（1）： 43-49.

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Related Institution

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．绍兴文理学院土木工程系

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Department of Applied Mechanics,Sun Yat-sen University

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