Free Vibrations of Inclined Cables

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.