Jialin Cui , Xianqiang Qu , Chunwang Lv , Jinbo Du
{"title":"表面裂纹板的振动能量流:正弦载荷下的损伤检测方法","authors":"Jialin Cui , Xianqiang Qu , Chunwang Lv , Jinbo Du","doi":"10.1016/j.ijsolstr.2025.113450","DOIUrl":null,"url":null,"abstract":"<div><div>This study investigates the vibrational energy flow characteristics of surface-cracked plates under sinusoidal force distribution and proposes an innovative crack identification method based on energy flow analysis. The surface crack is modeled as a line spring, and the vibrational energy flow characteristics of the cracked plate are derived by incorporating the additional rotation discontinuity caused by the crack. The results reveal that no energy input occurs below the critical frequency for both intact and cracked plates. Above the critical frequency, the input energy flow decreases with increasing frequency but increases with the number of half-waves. The depth of the crack significantly influences the fluctuation amplitude of the input energy flow, with deeper cracks causing greater fluctuations. Furthermore, while the energy flow propagation remains constant in the far-field region, dynamic transformations of energy flow components occur in the near-field region. A crack identification method based on the normalized input energy flow contour map is proposed, enabling accurate determination of crack location and depth using a single measurement point. Numerical and experimental results demonstrate that under an excitation frequency of 1000 Hz and a single half-wave condition, the method achieves 100 % accuracy in identifying a crack located at 0.2 m with a relative depth of 0.4. This approach significantly enhances detection efficiency and reduces implementation costs compared to traditional methods. The findings provide a new theoretical foundation for crack identification and contribute to the optimization of structural health monitoring techniques, offering broad potential for engineering applications.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"318 ","pages":"Article 113450"},"PeriodicalIF":3.8000,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Vibrational energy flow in surface-cracked plates: A method for damage detection under sinusoidal loading\",\"authors\":\"Jialin Cui , Xianqiang Qu , Chunwang Lv , Jinbo Du\",\"doi\":\"10.1016/j.ijsolstr.2025.113450\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This study investigates the vibrational energy flow characteristics of surface-cracked plates under sinusoidal force distribution and proposes an innovative crack identification method based on energy flow analysis. The surface crack is modeled as a line spring, and the vibrational energy flow characteristics of the cracked plate are derived by incorporating the additional rotation discontinuity caused by the crack. The results reveal that no energy input occurs below the critical frequency for both intact and cracked plates. Above the critical frequency, the input energy flow decreases with increasing frequency but increases with the number of half-waves. The depth of the crack significantly influences the fluctuation amplitude of the input energy flow, with deeper cracks causing greater fluctuations. Furthermore, while the energy flow propagation remains constant in the far-field region, dynamic transformations of energy flow components occur in the near-field region. A crack identification method based on the normalized input energy flow contour map is proposed, enabling accurate determination of crack location and depth using a single measurement point. Numerical and experimental results demonstrate that under an excitation frequency of 1000 Hz and a single half-wave condition, the method achieves 100 % accuracy in identifying a crack located at 0.2 m with a relative depth of 0.4. This approach significantly enhances detection efficiency and reduces implementation costs compared to traditional methods. The findings provide a new theoretical foundation for crack identification and contribute to the optimization of structural health monitoring techniques, offering broad potential for engineering applications.</div></div>\",\"PeriodicalId\":14311,\"journal\":{\"name\":\"International Journal of Solids and Structures\",\"volume\":\"318 \",\"pages\":\"Article 113450\"},\"PeriodicalIF\":3.8000,\"publicationDate\":\"2025-05-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Solids and Structures\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0020768325002367\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Solids and Structures","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020768325002367","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MECHANICS","Score":null,"Total":0}
Vibrational energy flow in surface-cracked plates: A method for damage detection under sinusoidal loading
This study investigates the vibrational energy flow characteristics of surface-cracked plates under sinusoidal force distribution and proposes an innovative crack identification method based on energy flow analysis. The surface crack is modeled as a line spring, and the vibrational energy flow characteristics of the cracked plate are derived by incorporating the additional rotation discontinuity caused by the crack. The results reveal that no energy input occurs below the critical frequency for both intact and cracked plates. Above the critical frequency, the input energy flow decreases with increasing frequency but increases with the number of half-waves. The depth of the crack significantly influences the fluctuation amplitude of the input energy flow, with deeper cracks causing greater fluctuations. Furthermore, while the energy flow propagation remains constant in the far-field region, dynamic transformations of energy flow components occur in the near-field region. A crack identification method based on the normalized input energy flow contour map is proposed, enabling accurate determination of crack location and depth using a single measurement point. Numerical and experimental results demonstrate that under an excitation frequency of 1000 Hz and a single half-wave condition, the method achieves 100 % accuracy in identifying a crack located at 0.2 m with a relative depth of 0.4. This approach significantly enhances detection efficiency and reduces implementation costs compared to traditional methods. The findings provide a new theoretical foundation for crack identification and contribute to the optimization of structural health monitoring techniques, offering broad potential for engineering applications.
期刊介绍:
The International Journal of Solids and Structures has as its objective the publication and dissemination of original research in Mechanics of Solids and Structures as a field of Applied Science and Engineering. It fosters thus the exchange of ideas among workers in different parts of the world and also among workers who emphasize different aspects of the foundations and applications of the field.
Standing as it does at the cross-roads of Materials Science, Life Sciences, Mathematics, Physics and Engineering Design, the Mechanics of Solids and Structures is experiencing considerable growth as a result of recent technological advances. The Journal, by providing an international medium of communication, is encouraging this growth and is encompassing all aspects of the field from the more classical problems of structural analysis to mechanics of solids continually interacting with other media and including fracture, flow, wave propagation, heat transfer, thermal effects in solids, optimum design methods, model analysis, structural topology and numerical techniques. Interest extends to both inorganic and organic solids and structures.