Application of Chebyshev Series to Solution of Cable Vibration Problems
In order to obtain simple formulae of cable dynamic behavior for numerical computation, the Chebyshev series method for the free vibration analysis of a cable considering boundary condition and flexural stiffness is utilized. The differential eigenvalue problem is reduced to an algebraic system which gives approximate eigenfrequencies and mode shape functions for a cable. These simple and approximate formulae are of value in the analysis of cable dynamic response and may be proved useful in the design of cable structures. The proposed approach is applicable to a wide range of cables.
Di Zheng, Yiqiang Wang, Yi-Min Deng, Aibing Yu and Weihua Li
Z. J. Liu et al., "Application of Chebyshev Series to Solution of Cable Vibration Problems", Applied Mechanics and Materials, Vols. 101-102, pp. 1173-1176, 2012