Advances in modeling boundary layer turbulence and its effects on motion independent aerodynamic force of bridge decks

Advances in Bridge Engineering

Table 7 Differences of the wind power spectrum energy and the buffeting responses under different turbulence integral scales

Bridge	Response Type	Horizontal Wind Spectrum S_u			Vertical Wind Spectrum S_w			Buffeting Response at Basis Wind Velocity
Bridge	Response Type	S_u1	S_u2	(S_u1- S_u2) / S_u2(%)	S_w1	S_w2	(S_w1- S_w2) / S_w2(%)	Wind tunnel spectrum	Actual bridge spectrum	(y₁- y₂)/ y₂ (%)
(1:40) Suspension Bridge A (1:40)	Vertical	0.123	0.372	− 66.90	0.011	0.106	−89.90	0.517	0.562	−7.90
(1:40) Suspension Bridge A (1:40)	Torsional	0.110	0.109	1.50	0.011	0.035	−68.20	0.355	0.244	45.70
(1:208) Suspension Bridge A (1:208)	Vertical	0.032	0.031	3.70	0.005	0.009	−42.00	0.526	0.451	16.80
(1:208) Suspension Bridge A (1:208)	Torsional	0.013	0.009	38.50	0.004	0.003	28.10	0.799	0.662	20.70
Cable-stayed Bridge B	Vertical	0.102	0.086	18.50	0.012	0.028	− 58.50	0.229	0.189	21.30
Cable-stayed Bridge B	Torsional	0.040	0.013	198.00	0.010	0.004	130.20	0.145	0.086	68.20
Arch Bridge C	Vertical	0.011	0.004	166.50	0.003	0.001	138.30	0.019	0.013	51.60
Arch Bridge C	Torsional	0.003	0.001	193.50	0.001	0.000	234.20	0.004	0.003	43.00

where S_u1 and S_w1 are experimental results; S_u2 and S_w2 are actual bridge results