Abstract
An extensive behavioural study of cable vibrations, induced by sinusoidal cable-plane structural vibrations, is presented. Nonlinear equations of motion are formulated for a hanging cable with a small sag-to-span ratio. The effects of sinusoidal cable support displacements, with abrupt and gradual transients, are studied. Cable in-plane and out-of-plane displacements are generated through multiple shape-function analyses. Previously observed regions of large amplitude cable vibrations, in the excitation amplitude/frequency parameter plane and for sinusoidal cable end displacements, are verified and new regions of response instability are found. In addition, regions wit hin the parameter plane are characterised as periodic, quasi-periodic or chaotic. The effects of changes in initial cable conditions are examined and differences in maximum displacement amplitudes are found and compared to those found from a zero-initial-condition sinusoidal support excitation. For specific excitation amplitude/frequency parameter pairs, ‘cable stiffening’ is observed. Throughout the analysis, maximum cable stresses are calculated and found to be less than those required for material yielding. The significance of a cable-support interaction is briefly discussed.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
