Analysis and measurement of vibration characteristics of a hollowing defect based on a laser self-mixing interferometer

doi:10.1088/1674-1056/ad7e99

中国物理B ›› 2024, Vol. 33 ›› Issue (12): 124301-124301.doi: 10.1088/1674-1056/ad7e99

Analysis and measurement of vibration characteristics of a hollowing defect based on a laser self-mixing interferometer

Yu-Xin Chen(陈煜昕)¹, Jin-Bo Chen(陈金波)^1,†, Peng Cao(曹鹏)¹, You-Guang Zhao(赵有光)^2,‡, Jun Wang(王钧)¹, Xu-Wei Teng(滕旭玮)³, and Chi Wang(王驰)^1,§

1 School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200072, China;
2 Beijing Institute of Space Electromechanics, Beijing 100094, China;
3 Department of Orthopedics, Shanghai Tongji Hospital, School of Medicine, Tongji University, Shanghai 200065, China

收稿日期:2024-06-12 修回日期:2024-09-11 接受日期:2024-09-24 发布日期:2024-11-12
通讯作者: Jin-Bo Chen, You-Guang Zhao, Chi Wang E-mail:jbchen@shu.edu.cn;zhaoyouguang@tongji.edu.cn;wangchi@shu.edu.cn
基金资助:
Project supported by the National Key Research and Development Program of China (Grant No. 2023YFF0722900), the Beijing Engineering Research Center of Aerial Intelligent Remote Sensing Equipments Fund (Grant No. AIRSE20233), and the National Natural Science Foundation of China (Grant No. 62175144).

Analysis and measurement of vibration characteristics of a hollowing defect based on a laser self-mixing interferometer

Yu-Xin Chen(陈煜昕)¹, Jin-Bo Chen(陈金波)^1,†, Peng Cao(曹鹏)¹, You-Guang Zhao(赵有光)^2,‡, Jun Wang(王钧)¹, Xu-Wei Teng(滕旭玮)³, and Chi Wang(王驰)^1,§

1 School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200072, China;
2 Beijing Institute of Space Electromechanics, Beijing 100094, China;
3 Department of Orthopedics, Shanghai Tongji Hospital, School of Medicine, Tongji University, Shanghai 200065, China

Received:2024-06-12 Revised:2024-09-11 Accepted:2024-09-24 Published:2024-11-12
Contact: Jin-Bo Chen, You-Guang Zhao, Chi Wang E-mail:jbchen@shu.edu.cn;zhaoyouguang@tongji.edu.cn;wangchi@shu.edu.cn
Supported by:
Project supported by the National Key Research and Development Program of China (Grant No. 2023YFF0722900), the Beijing Engineering Research Center of Aerial Intelligent Remote Sensing Equipments Fund (Grant No. AIRSE20233), and the National Natural Science Foundation of China (Grant No. 62175144).

摘要/Abstract

摘要： To solve the problems with the existing methods for detecting hollowing defects, such as inconvenient operation, low efficiency and intense subjectivity, and to improve the efficiency of the acoustic-optic fusion method for detecting hollowing defects, in this paper the vibration characteristics of hollowing defects are measured and analyzed using a laser self-mixing interferometer. The ceramic tile above the hollowing defect is equivalent to a thin circular plate with peripheral fixed support. According to Kirchhoff's classical circular plate theory and the circular plate displacement function based on the improved Fourier series, a theoretical model of a circular plate is established. By solving the characteristic equation, the theoretical modal parameters of hollowing defects are obtained. Subsequently, an experimental system based on a laser self-mixing interferometer is built, and modal experiments are carried out using the hammering method. The experimental modal parameters are obtained with a professional modal analysis software. Through comparative analysis between the theoretical and experimental modal parameters, the error of the natural frequency results is found to be tiny and the mode shapes are consistent. These results provide theoretical guidance for a practical non-destructive acoustic-optic fusion method for detecting hollowing defects.

关键词: hollowing defect, Kirchhoff's classical theory of circular plate, laser self-mixing interference, hammering method, modal

Abstract: To solve the problems with the existing methods for detecting hollowing defects, such as inconvenient operation, low efficiency and intense subjectivity, and to improve the efficiency of the acoustic-optic fusion method for detecting hollowing defects, in this paper the vibration characteristics of hollowing defects are measured and analyzed using a laser self-mixing interferometer. The ceramic tile above the hollowing defect is equivalent to a thin circular plate with peripheral fixed support. According to Kirchhoff's classical circular plate theory and the circular plate displacement function based on the improved Fourier series, a theoretical model of a circular plate is established. By solving the characteristic equation, the theoretical modal parameters of hollowing defects are obtained. Subsequently, an experimental system based on a laser self-mixing interferometer is built, and modal experiments are carried out using the hammering method. The experimental modal parameters are obtained with a professional modal analysis software. Through comparative analysis between the theoretical and experimental modal parameters, the error of the natural frequency results is found to be tiny and the mode shapes are consistent. These results provide theoretical guidance for a practical non-destructive acoustic-optic fusion method for detecting hollowing defects.

Key words: hollowing defect, Kirchhoff's classical theory of circular plate, laser self-mixing interference, hammering method, modal

中图分类号: (Structural acoustics and vibration)

43.40.+s

06.30.Ft (Time and frequency) 42.87.-d (Optical testing techniques)

Yu-Xin Chen(陈煜昕), Jin-Bo Chen(陈金波), Peng Cao(曹鹏), You-Guang Zhao(赵有光), Jun Wang(王钧), Xu-Wei Teng(滕旭玮), and Chi Wang(王驰). Analysis and measurement of vibration characteristics of a hollowing defect based on a laser self-mixing interferometer[J]. 中国物理B, 2024, 33(12): 124301-124301.

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Analysis and measurement of vibration characteristics of a hollowing defect based on a laser self-mixing interferometer

Analysis and measurement of vibration characteristics of a hollowing defect based on a laser self-mixing interferometer

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