Application of Chebyshev Series to Solution of Cable Vibration Problems-Reference-Cited by-同舟云学术

Application of Chebyshev Series to Solution of Cable Vibration Problems

Published:2011-09 Issue: Volume:101-102 Page:1173-1176
ISSN:1662-7482
Container-title:Applied Mechanics and Materials
language:
Short-container-title:AMM

Author:

Liu Zhi Jun¹,Rui Xiao Ting¹,Abbas Laith K.¹

Affiliation:

1. Nanjing University of Science and Technology

Abstract

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.

Publisher

Trans Tech Publications, Ltd.

Link

https://www.scientific.net/AMM.101-102.1173.pdf

Reference6 articles.

1. Q. Wu, K. Takahashi and S. Nakamura: J. Sound Vib., Vol. 279 (2005), pp.1155-1169.

2. M. AL-Qassab and S. Nair: J. Eng. Mech., ASCE, Vol. 129 (2003) No. 3, pp.350-357.

3. H. Zui, T. Shinke and Y Namita: J. Struct. Engrg., ASCE, Vol. 122 (1996) No. 6, pp.651-656.

4. Z.J. Liu and G.P. Chen: J. Vib. Engrg., Vol. 20 (2007), pp.57-60. (in Chinese).

5. H.M. Irvine: Cable Structure (the MIT Press, USA 1981).

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