Free Vibrations of Inclined Cables
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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.