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Singular Function Model of Concentrated Mass-Cable Composite Structures

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Journal of Vibration Engineering & Technologies Aims and scope Submit manuscript

Abstract

Purpose

The concentrated mass on a cable has a great influence on the natural frequency of cable structures. In view of the complex of calculation process of transfer matrix method, this paper presents an analytical model to investigate the vibration characteristics of cable structures with concentrated masses.

Methods

In the present model, the vibration model of the cable structure with concentrated masses is expressed using singular functions. To validate the present model, the experiments of the frequency measurement using laser pickup method were also carried out.

Results

Analytical expression of frequencies of cable structures with concentrated masses is derived. As an application of the present model, the influences of the size, quantity and position of the concentrated mass of the cable on the cable natural frequency are also examined and discussed.

Conclusions

The comparison of the experimental results and model predictions shows that the singular function model can predict well the influence of concentrated mass on the natural frequency of cable structures.

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Acknowledgements

The authors would like to acknowledge the financial support received from the National Natural Science Foundation of China (Grant Nos. 51978406, 51520105012).

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Authors and Affiliations

  1. Guangdong Provincial Key Laboratory of Durability for Marine Civil Engineering, College of Civil and Transportation Engineering, Shenzhen University, Shenzhen, People’s Republic of China

    Deyou Liu, Bingjie Song & Dawang Li

  2. Logistics Department, Henan Provincial People’s Hospital, Henan, People’s Republic of China

    Chenghui Jia

Authors
  1. Deyou Liu
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  2. Chenghui Jia
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  4. Dawang Li
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Correspondence to Dawang Li.

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Liu, D., Jia, C., Song, B. et al. Singular Function Model of Concentrated Mass-Cable Composite Structures. J. Vib. Eng. Technol. 10, 2657–2667 (2022). https://doi.org/10.1007/s42417-022-00510-2

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