Dynamic analysis of beam-cable coupled systems using Chebyshev spectral element method

• Published in: Acta mechanica Sinica Vol. 33; no. 5; pp. 954 - 962
• Main Authors: Huang, Yi-Xin, Tian, Hao, Zhao, Yang
• Format: Journal Article
• Language: English
• Published: Beijing The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences 01.10.2017; Springer Nature B.V; School of Astronautics,Harbin Institute of Technology,Harbin 150001,China
• Edition: English ed.
• Subjects: Beam–cable; Cables; Chebyshev approximation; Classical and Continuum Physics; Computational Intelligence; coupled; Deformation; Dynamic characteristics; element; Engineering; Engineering Fluid Dynamics; Finite element method; frequency;Mode; Mathematical models; Meshing; method;Natural; Nonlinear programming; Research Paper; Resonant frequencies; Series expansion; shape; spectral; Spectral element method; Springs (elastic); system;Chebyshev; system;Double-beam; Theoretical and Applied Mechanics; Natural frequency; Double-beam system; Chebyshev spectral element method; Beam–cable coupled system; Mode shape
• ISSN: 0567-7718; 1614-3116
• DOI: 10.1007/s10409-017-0651-1

The dynamic characteristics of a beam–cable coupled system are investigated using an improved Chebyshev spectral element method in order to observe the effects of adding cables on the beam. The system is modeled as a double Timoshenko beam system interconnected by discrete springs. Utilizing Chebyshev series expansion and meshing the system according to the locations of its connections, numerical results of the natural frequencies and mode shapes are obtained using only a few elements, and the results are validated by comparing them with the results of a finiteelement method. Then the effects of the cable parameters and layout of connections on the natural frequencies and mode shapes of a fixed-pinned beam are studied. The results show that the modes of a beam–cable coupled system can be classified into two types, beam mode and cable mode, according to the dominant deformation. To avoid undesirable vibrations of the cable, its parameters should be controlled in a reasonable range, or the layout of the connections should be optimized.