基于二维频域光学振动相干层析的悬臂梁模态频率质量称量方法

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (6) : 74-81.

论文

方波1，钟舜聪1,2，林杰文1，陈伟强1，钟剑锋1，张秋坤1,3

作者信息 +

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

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

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文章历史 +

摘要

该研究提出了基于二维频域光学振动层析(2D-FOCVT)获得悬臂梁模态频率从而实现对质量的高精度检测。在带集中质量悬臂梁固有频率计算理论和方法的基础上，对不同质量(系数)下悬臂梁前三阶频率(系数)与集中质量(系数)关系做了分析，比较了前三阶频率对集中质量变化的敏感性。利用自研发的2D-FOCVT系统实验测试了悬臂梁结构在附加集中质量下的一阶频率，对悬臂梁集中质量—一阶频率关系做了拟合，由此提出了应用一阶频率对质量变化的敏感性实现质量的检测方法。实验结果表明，自搭建的2D-FOCVT能提供纳米量级的振动位移精度，同时创新性地将2D-FOCVT结合模态分析进行附加质量块的质量称量，拓展了2D-FOCVT的应用。

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.

导出引用

方波1，钟舜聪1,2，林杰文1，陈伟强1，钟剑锋1，张秋坤1,3. 基于二维频域光学振动相干层析的悬臂梁模态频率质量称量方法[J]. 振动与冲击, 2020, 39(6): 74-81

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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