Lyapunov-Based Control for Suppression of Wind-Induced Galloping in Suspension Bridges

Table 1

Data for the great belt suspension bridge.

Bridge deck parameters		Cable parameters		Wind parameters
Span, 𝐿	2500 m	Suspended length, 𝑙	2573 m	Air density, 𝜌	1.25 Kg/m^3
Deck mass, 𝑚𝑏	14908 Kg/m	Cable mass, 𝑚𝑐	4396 Kg/m	H *	1.7
Width, 𝐵𝐵	27 m	Cable sag, 𝑦𝑐	265 m	𝜀	100
Flexural rigidity, 𝐸𝐼	2.4 ×10^11 N⋅m^2	Cross-sectional area, 𝐴	0.56 m^2
Stiffness of vertical hangers, 𝑘𝑖	10^6 N/m (placed at every 10 m)	Young’s modulus of elasticity, E	2.1 ×10^11N/m^2
Damping ratio, 𝜁𝑏	0.01	Damping ratio, 𝜁𝑐	0.001

The parameters 𝐻^∗ and 𝜀 are the aerodynamic coefficients which are usually determined experimentally from wind tunnel tests. In this paper, we used the values of these parameters from [23].