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

Table 9

Calculation results of different cable force formulas.

Cable number	Measured frequency in this paper (Hz)		Calculation results of cable force (Hz)			Calculation results of Weixin and Gang [6] (Hz)
	Fundamental frequency	2nd order	String model	Beam model	Yi-Fan and Shuan-Hai [5]	Sag	Bending stiffness
S1	1.563	3.027	4,373.54	4,371.14	/	1,093.38	4,368.67
S2	1.758	3.516	4,340.62	4,339.35	4,487.64	1,085.15	4,337.09
S3	2.051	4.004	4,443.85	4,443.07	4,234.94	1,110.96	4,441.04
S4	2.441	4.785	4,263.26	4,262.73	4,029.39	1,065.82	4,261.00
S5	3.027	5.957	4,167.83	4,167.45	3,901.13	1,041.96	4,165.93
S6	3.809	7.813	4,051.25	4,050.96	3,969.59	1,012.81	4,049.62
S7	5.260	10.024	4,093.87	4,093.64	3,752.85	1,023.47	4,092.42
Cable number	Theoretical cable force (Hz)	Calculation results of Zui et al. [7] (Hz)		Calculation results of Shao-Ping et al. [8] (Hz)	Calculation results of Xu-Dong et al. [9] (Hz)	Calculation results of Jianfei [10] (Hz)
		Fundamental frequency	2nd order			Fundamental frequency	2nd order
S1	4,031	4,229.54	/	4,507.77	4,338.79	4,373.53	/
S2	4,068	4,236.45	4,459.06	4,265.60	4,339.35	4,340.61	4,606.54
S3	4,105	4,361.12	4,221.31	4,490.93	4,443.07	4,443.84	4,341.95
S4	4,143	4,196.57	4,030.25	4,319.17	4,262.73	4,263.26	4,133.55
S5	4,178	4,111.81	3,916.44	4,233.42	4,167.45	4,167.83	4,008.32
S6	4,196	4,003.24	4,003.29	4,051.25	4,050.96	4,051.25	4,089.61
S7	4,219	4,051.19	3,797.38	4,178.94	4,093.64	4,093.87	3,875.20