Nonlinear vibrations of CFRP cables excited by periodic motions of supports in cable-stayed bridges

Abstract

Owing to its excellent non-corrosiveness and fatigue resistance, a carbon fiber-reinforced polymer (CFRP) stay cable is an ideal alternative to overcome corrosion and fatigue problems associated with the traditional steel cable. However, stay cables are prone to various oscillations under wind, rain, and traffic loading. The vibrations of CFRP stay cables excited by periodic motions of the girder and/or pylons were studied and compared with those of steel cables. A nonlinear dynamic model for in-plane and out-of-plane vibrations of stay cables was proposed. Particularly, the geometrical nonlinearity of the cables was considered in this model. On the basis of this model, numerical solutions were obtained for CFRP cables and steel cables with the same conditions. Furthermore, the effects of important parameters on vibrations were discussed. These parameters included cable tensions, excitation amplitudes, and damping ratios. Results demonstrate that small excitation amplitudes may lead to forced vibrations or parametric vibrations with substantial amplitudes when natural frequencies of the cables are approximately half or one time of excitation frequencies. The maximal vibration responses of CFRP cables are weaker than those of steel cables when their lengths are substantial. As static tensions of the cables decrease, the “beating” frequencies and the maximal amplitudes of the vibrations increase.

Semiactive Control of Nonlinear Parametric Vibration of Super‐Long Stay Cable in Cable‐Stayed Bridge Installed with Magnetorheological Fluid Damper

“…In contrast to forced vibration, the parametric vibration of stay cables is support-induced motion due to a bridge deck or tower vibration when cable-stayed bridges are under external excitations, such as wind, trafc load, and earthquakes. Frequent vibrations can lead to the fatigue fracture of the anchor ends of stay cables and may cause the failure of stay cables in severe cases, which seriously impacts the safety and durability of cable-stayed bridges [1][2][3][4].…”

Response control of cable-stayed arch bridge using modified hanger system

“…Several works were carried out to investigate the vibrational behavior of cables (Cheng and Dong, 2016; Kangas et al, 2012; Kim and Jeong, 2005; Papadopoulos et al, 2012). Kang et al (2012) and Dan et al (2014) studied the inclined cables, and fibre reinforced polymer cables are also investigated for the vibration characteristics (Mei et al, 2018; Yang et al, 2014; Zhang et al, 2011). The slackness, fatigue, and fracture problem in cables were investigated by Wu et al (2003), Pellegrino et al (2010), and Suh and Chang (2000), respectively.…”