Research Article

Parametric Updating of Steel Strand Stay Cable Force Calculation Model Based on Response Surface Method

Table 2

Calculation results of different cable force formulas.

Cable numberMeasured frequency in this paper (Hz)Calculation results of cable force (kN)Calculation results of Weixin and Gang [6] (kN)
Fundamental frequency2nd orderString modelBeam modelYi-Fan and Shuan-Hai [5]SagBending stiffness

S11.5633.0276,121.106,116.42/1,530.276,113.05
S21.7583.5165,518.455,515.735,677.611,379.615,512.63
S32.0514.0045,336.295,334.515,070.481,334.075,331.66
S42.4414.7854,929.834,928.584,656.241,232.464,926.10
S53.0275.9574,691.704,690.774,399.041,127.934,688.56
S63.8097.8134,469.774,469.054,399.481,117.444,468.08
S75.26010.0244,446.904,446.334,102.981,111.724,444.51
Cable numberTheoretical cable force (kN)Calculation results of Zui et al. [7] (kN)Calculation results of Shao-Ping et al. [8] (kN)Calculation results of Xu-Dong et al. [9] (kN)Calculation results of Jianfei [10] (kN)
Fundamental frequency2nd orderFundamental frequency2nd order
S14,0315,883.14/6,308.965,912.206,121.07/
S24,0685,346.285,628.485,423.085,515.735,518.445,854.71
S34,1055,199.555,032.45,392.835,334.515,336.285,212.28
S44,1434,819.614,628.054,994.484,928.584,929.834,778.39
S54,1784,599.114,379.984,765.534,690.774,691.74,510.85
S64,1964,390.424,390.544,469.774,469.054,469.764,510.9
S74,2194,376.374,101.494,539.34,446.334,446.94,208.32