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

doi:10.1088/1674-1056/ad7e99

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.

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

Received: 12 June 2024
Revised: 11 September 2024
Accepted manuscript online: 24 September 2024

PACS:	43.40.+s	(Structural acoustics and vibration)
	06.30.Ft	(Time and frequency)
	42.87.-d	(Optical testing techniques)

Fund: 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).

Corresponding Authors: Jin-Bo Chen, You-Guang Zhao, Chi Wang
E-mail: jbchen@shu.edu.cn;zhaoyouguang@tongji.edu.cn;wangchi@shu.edu.cn

Cite this article:

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 2024 Chin. Phys. B 33 124301

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

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