Modal identification of a cantilever beam using image processing and transmissibility functions

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Salamipour Parsa; Kazemi Reza Kazemi

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Journal Paper

Paper Information

Journal: JOURNAL OF VIBRATION AND SOUND Year:2024 | Volume:13 | Issue:25 Page(s): 126-144

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Information Journal Paper

Title

Modal identification of a cantilever beam using image processing and transmissibility functions

Author(s)

Salamipour Parsa | Kazemi Reza Kazemi

Keywords

Modal identification

image processing

Video Processing

Transmissibility functions

Modal test

Abstract

In this paper, an alternative approach in operational modal analysis is presented, utilizing image processing technique and Transmissibility functions. Imaging sensors do not impose additional mass on the structure due to their non-contact nature, while Transmissibility functions, independent of excitation type, can directly extract mode shapes. The innovation of this research lies in combining these two techniques to record dynamic responses and identify modal properties. To capture the temporal response history from video signals, the block-matching method with sub-pixel accuracy was employed. Validation was conducted by recording the response of the tip of a cantilevered steel beam subjected to impact excitation, using a high-speed camera and a laser vibrometer, simultaneously. The RMSE plots in the time domain and the PSD in the frequency domain indicate high accuracy of this method. Using this approach, the displacement time histories of various points on the structure were extracted from the video signals, and the modal properties, including natural frequencies, damping ratios, and mode shapes, were identified using the transmissibility matrix method. The results obtained from the proposed method were compared with the stochastic subspace identification (SSI) method and analytical solutions. The findings reveal the accuracy of the Modal identification approach introduced in this article. The highest relative error in estimating the natural frequencies of the first and second modes, compared to the values from the laser method, are 0.19% and 0.13%, respectively, and in comparison to the analytical values, they are 0.34% and 1.5%, respectively.

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