Using cross-ties is one of the effective countermeasures to suppress unfavorable bridge stay cable vibrations. It has been successfully applied in the field. However, dynamic behavior of cable networks is still not clearly understood, which hinders the development of a more efficient design. The current paper aims at extending the existing analytical studies on in-plane free vibration of cable networks by developing closed-form modal solutions for a wider series of cases, in particular for general cable networks consisting of n horizontally laid main cables interconnected transversely with a single line of rigid cross-ties. The validity of these analytical modal solutions is verified by independent finite element simulations. These closed-form modal solutions offer a clear elucidation of the mechanics underlying various modal behaviors observed in cable networks of different layout and structural properties. In addition, based on the proposed analytical formulation, the important system parameters of cable networks are identified. The unique features associated with cable networks of a number of specific configurations are investigated and discussed.
AhmadJChengS (2013a) Impact of key system parameters on the in-plane dynamic response of a cable Network. Journal of Structural Engineering ASCE. Epub ahead of print 10 April 2013. Available at: DOI: 10.1061/(ASCE)ST.1943-541X.0000847.
2.
AhmadJChengS (2013b) Effect of cross-link stiffness on the in-plane free vibration behavior of a two-cable network. Engineering Structures52: 570–580.
3.
Bosch HR and Park SW (2005) Effectiveness of external dampers and crossties in mitigation of stay cable vibrations. In: proceedings of the 6th international symposium on cable dynamics, pp.115–122.
4.
Caetano E and Cunha A (2003) Identification of parametric excitation at the International Guadiana Bridge. In: proceedings of the 5th international symposium on cable dynamics, pp.525-532.
5.
CaracogliaLJonesNP (2005a) In-plane dynamic behavior of cable networks. Part 1: Formulation and basic solutions. Journal of Sound and Vibration279: 969–991.
6.
CaracogliaLJonesNP (2005b) In-plane dynamic behavior of cable networks. Part 2: Prototype prediction and validation. Journal of Sound and Vibration279: 993–1014.
7.
CaracogliaLZuoD (2009) Effectiveness of cable networks of various configurations in suppressing stay-cable vibration. Engineering Structures31: 2851–2864.
8.
ChengSDarivandiNGhribF (2010) The design of an optimal viscous damper for a bridge stay cable using energy-based approach. Journal of Sound and Vibration329: 4689–4704.
9.
Ehsan F and Scanlan RH (1989) Damping stay cables with ties. In: proceedings of the 5th US-Japan bridge workshop, pp.203-217.
10.
FujinoYHoangN (2008) Design formulas for damping of a stay cable with a damper. Journal of Structural Engineering ASCE134(2): 269–278.
11.
GiaccuGFCaracogliaL (2012) Effects of modeling nonlinearity in cross-ties on the dynamics of simplified in-plane cable networks. Structural Control and Health Monitoring19(3): 348–369.
12.
GiaccuGFCaracogliaL (2013) Generalized power-law stiffness model for nonlinear dynamics of in-plane cable networks. Journal of Sound and Vibration332(8): 1961–1981.
13.
GimsingNJGeorgakisCT (1993) Cable supported Bridges: Concept and Design, 3rd ed. New York: John Willy & Sons Ltd.
Irvine HM and Caughey TK (1974) The linear theory of free vibrations of a suspended cable. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 341(1626): 299--315.
16.
KrenkS (2000) Vibrations of a taut cable with an external damper. Journal of Applied Mechanics67(4): 772–776.
17.
Kumarasena S, Jones NP, Irwin P, et al. (2007) Wind-induced vibration of stay cables. FHWA-HRT-05-083. U.S. Department of Transportation, Federal Highway Administration.
18.
LilienJLPinto da costaA (1994) Vibration amplitudes caused by parametric excitation of cable-stayed structures. Journal of Sound and Vibration174(1): 69–90.
19.
Macdonald J and Georgakis CT (2002) The influence of cable-deck interaction on the seismic response of cable-stayed bridges. In: proceedings of the 12th European conference on earthquake engineering, Paper 441.
20.
MainJAJonesNP (2002) Free vibration of taut cable with attached damper, I: Linear Viscous Damper. Journal of Engineering Mechanics ASCE128(10): 1062–1071.
21.
MatsumotoMShirashiNShiratoH (1992) Rain-wind induced vibration of cables of cable-stayed bridges. Journal of Wind Engineering & Industrial Aerodynamics43(1–3): 2011–2022.
22.
PachecoBMFujinoYSulekhA (1993) Estimation curve for modal damping in stay cables with viscous damper. Journal of structural Engineering ASCE119(6): 1961–1979.
23.
SunBWangZKoJM (2003) Parametrically excited oscillations of stay cable and its control in cable-stay bridges. Journal of Zhejiang University – Science A4(1): 13–20.
24.
Sun L, Zhou Y and Huang H (2007) Experiment and damping evaluation on stay cables connected by cross ties. In: proceedings of the 7th international symposium on cable dynamics, Paper ID: 50.
25.
TabatabaiHMehrabiA (2000) Design of mechanical viscous dampers for stay cables. Journal of Bridge Engineering ASCE5(2): 114–123.
26.
VirlogeuxM. Cable vibrations in cable-stayed bridges. In: LarsenAEsdahlS (eds). Bridge Aerodynamics, A A Balkema PublishersRotterdam, 1998, pp. 213–233.
27.
YamaguchiHNagahawattaHD (1995) Damping effects of cable cross-ties in cable-stayed bridges. Journal of Wind Engineering & Industrial Aerodynamics54/55: 35–43.
28.
ZhanSXuYLZhouHJ (2008) Experimental study of wind–rain-induced cable vibration using a new model setup scheme. Journal of Wind Engineering & Industrial Aerodynamics96(12): 2438–2451.
29.
Zhou H, Zhu Y, Yang Z, et al. (2011) Free vibration of taut cable with multiple spring supports. In: proceedings of the 9th international symposium on cable dynamics, pp.311–318.
