FREE VIBRATION OF TAUT CABLE WITH DAMPER AND PARALLEL SPRING

This paper studied free vibration of taut cable with damper and parallel spring. The complex frequency equation of taut cable with damper and parallel spring system was derived. The equation was further expanded to real and imaginary parts. The special limiting solutions were derived. The modal frequency and modal damping in each specific region were further discussed. The second mode vibration frequency, damping ratio and mode shape were given for each specific region. The modal crossing phenomena were addressed. The sag effect on 1st modal frequency and frequency was further addressed. It was found that modal frequency and modal damping were dependent on damper and parallel spring location. The cable vibration frequency and damping were greatly increased after damper and parallel spring installation.