Free Vibrations of Inclined Cables

by H. Max Irvine,

Serial Information: Journal of the Structural Division, 1978, Vol. 104, Issue 2, Pg. 343-347

Document Type: Journal Paper

Abstract: The purpose of this note is to show that the earlier analytical work can be readily extended to cover the case of an inclined cable hanging under self-weight. In particular, suitably nondimensionalized natural frequencies of the symmetric in-plane modes will be shown to depend on just one dimensionless parameter, while the frequencies of the antisymmetric in-plane modes and the out-of-plane modes are independent of any parameters. Such findings are restricted to cables the profiles of which differ little from those of their chords. However, such a constraint is of little consequence since structural efficiency will almost invariably dictate a profile that is flat relative to the chord. Subject to this restriction the results apply to any chord inclination, from horizontal to vertical, and are straightforward to use.

Subject Headings: Cables | Natural frequency | Symmetry | Parameters (statistics) | Case studies | Vibration |

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