Singular Function Model of Concentrated Mass-Cable Composite Structures

• Published in: Journal of Vibration Engineering & Technologies Vol. 10; no. 7; pp. 2657 - 2667
• Main Authors: Liu, Deyou, Jia, Chenghui, Song, Bingjie, Li, Dawang
• Format: Journal Article
• Language: English
• Published: Singapore Springer Nature Singapore 01.10.2022
• Subjects: Acoustics; Control; Dynamical Systems; Engineering; Engineering Acoustics; Original Paper; Vibration; Natural frequency; Concentrated mass; Modelling; Vibration; Cable structure; Singular function
• ISSN: 2523-3920; 2523-3939
• DOI: 10.1007/s42417-022-00510-2

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.