Damage Identification Method Using Additional Virtual Mass Based on Damage Sparsity
Damage identification methods based on structural modal parameters are influenced by the structure form, number of measuring sensors and noise, resulting in insufficient modal data and low damage identification accuracy. The additional virtual mass method introduced in this study is based on the vir...
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MDPI AG
2021-10-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/21/10152 |
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| author | Qingxia Zhang Dengzheng Xu Jilin Hou Łukasz Jankowski Haiyan Wang |
| author_facet | Qingxia Zhang Dengzheng Xu Jilin Hou Łukasz Jankowski Haiyan Wang |
| author_sort | Qingxia Zhang |
| collection | DOAJ |
| description | Damage identification methods based on structural modal parameters are influenced by the structure form, number of measuring sensors and noise, resulting in insufficient modal data and low damage identification accuracy. The additional virtual mass method introduced in this study is based on the virtual deformation method for deriving the frequency-domain response equation of the virtual structure and identify its mode to expand the modal information of the original structure. Based on the initial condition assumption that the structural damage was sparse, the damage identification method based on sparsity with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>l</mi><mn>1</mn></msub></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>l</mi><mn>2</mn></msub></mrow></semantics></math></inline-formula> norm of the damage-factor variation and the orthogonal matching pursuit (OMP) method based on the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>l</mi><mn>0</mn></msub></mrow></semantics></math></inline-formula> norm were introduced. According to the characteristics of the additional virtual mass method, an improved OMP method (IOMP) was developed to improve the localization of optimal solution determined using the OMP method and the damage substructure selection process, analyze the damage in the entire structure globally, and improve damage identification accuracy. The accuracy and robustness of each damage identification method for multi-damage scenario were analyzed and verified through simulation and experiment. |
| first_indexed | 2024-03-10T06:06:20Z |
| format | Article |
| id | doaj.art-3830761809da4dda9cf0dfb2927291d0 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T06:06:20Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-3830761809da4dda9cf0dfb2927291d02023-11-22T20:28:34ZengMDPI AGApplied Sciences2076-34172021-10-0111211015210.3390/app112110152Damage Identification Method Using Additional Virtual Mass Based on Damage SparsityQingxia Zhang0Dengzheng Xu1Jilin Hou2Łukasz Jankowski3Haiyan Wang4School of Civil Engineering, Dalian Minzu University, Dalian 116650, ChinaSchool of Civil Engineering & State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, ChinaSchool of Civil Engineering & State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, ChinaInstitute of Fundamental Technological Research, Polish Academy of Sciences, 02-106 Warsaw, PolandSchool of Civil Engineering & State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, ChinaDamage identification methods based on structural modal parameters are influenced by the structure form, number of measuring sensors and noise, resulting in insufficient modal data and low damage identification accuracy. The additional virtual mass method introduced in this study is based on the virtual deformation method for deriving the frequency-domain response equation of the virtual structure and identify its mode to expand the modal information of the original structure. Based on the initial condition assumption that the structural damage was sparse, the damage identification method based on sparsity with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>l</mi><mn>1</mn></msub></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>l</mi><mn>2</mn></msub></mrow></semantics></math></inline-formula> norm of the damage-factor variation and the orthogonal matching pursuit (OMP) method based on the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>l</mi><mn>0</mn></msub></mrow></semantics></math></inline-formula> norm were introduced. According to the characteristics of the additional virtual mass method, an improved OMP method (IOMP) was developed to improve the localization of optimal solution determined using the OMP method and the damage substructure selection process, analyze the damage in the entire structure globally, and improve damage identification accuracy. The accuracy and robustness of each damage identification method for multi-damage scenario were analyzed and verified through simulation and experiment.https://www.mdpi.com/2076-3417/11/21/10152structural health monitoring (SHM)damage identificationvirtual masssparse constraintIOMP method |
| spellingShingle | Qingxia Zhang Dengzheng Xu Jilin Hou Łukasz Jankowski Haiyan Wang Damage Identification Method Using Additional Virtual Mass Based on Damage Sparsity Applied Sciences structural health monitoring (SHM) damage identification virtual mass sparse constraint IOMP method |
| title | Damage Identification Method Using Additional Virtual Mass Based on Damage Sparsity |
| title_full | Damage Identification Method Using Additional Virtual Mass Based on Damage Sparsity |
| title_fullStr | Damage Identification Method Using Additional Virtual Mass Based on Damage Sparsity |
| title_full_unstemmed | Damage Identification Method Using Additional Virtual Mass Based on Damage Sparsity |
| title_short | Damage Identification Method Using Additional Virtual Mass Based on Damage Sparsity |
| title_sort | damage identification method using additional virtual mass based on damage sparsity |
| topic | structural health monitoring (SHM) damage identification virtual mass sparse constraint IOMP method |
| url | https://www.mdpi.com/2076-3417/11/21/10152 |
| work_keys_str_mv | AT qingxiazhang damageidentificationmethodusingadditionalvirtualmassbasedondamagesparsity AT dengzhengxu damageidentificationmethodusingadditionalvirtualmassbasedondamagesparsity AT jilinhou damageidentificationmethodusingadditionalvirtualmassbasedondamagesparsity AT łukaszjankowski damageidentificationmethodusingadditionalvirtualmassbasedondamagesparsity AT haiyanwang damageidentificationmethodusingadditionalvirtualmassbasedondamagesparsity |