Mass weighing method based on the modal frequencies of cantilever beams using two-dimensional frequency-domain vibration coherence tomography

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (6) : 74-81.

FANG Bo1，ZHONG Shuncong1,2，LIN Jiewen1，CHEN Weiqiang1，ZHONG Jianfeng1，ZHANG Qiukun1,3

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Abstract

A two-dimensional frequency-domain optical vibration tomography system (2D-FOCVT) was used for the modal analysis of added-mass cantilever beams and finally to do mass detection.Based on describing the theory and method for the natural frequencies of lumped mass cantilever beams, the first three order natural frequencies of a cantilever beam with different added mass were analyzed, and the sensitivity of the additional lumped mass to the first three order natural frequencies was investigated.Subsequently, the relationship between the additional lumped mass and the first three order natural frequencies measured by the home-made 2D-FOCVT system was achieved by using the numerical fitting method.The variation of the sensitivity along with the change of the additional lumped mass was discussed.On this basis, a mass weighing method using the sensitivity of the first order natural frequency was proposed by virtue of the 2D-FOCVT system.The experimental results show that the home-made 2D-FOCVT system exhibits a good performance with nano-scale high resolution; also, it is a novel application of 2D-FOCVT in the modal analysis for mass weighing.

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two-dimensional Fourier domain optical coherence vibration tomography(2D-FOCVT) / modal analysis / mass weighing

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FANG Bo1，ZHONG Shuncong1,2，LIN Jiewen1，CHEN Weiqiang1，ZHONG Jianfeng1，ZHANG Qiukun1,3. Mass weighing method based on the modal frequencies of cantilever beams using two-dimensional frequency-domain vibration coherence tomography[J]. Journal of Vibration and Shock, 2020, 39(6): 74-81

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