Multi-Stage Tensioning Control Method for Cables of Large-Span Cable-Stayed Bridge Considering Cable Nonlinear Effect

doi:10.16183/j.cnki.jsjtu.2024.277

Abstract

Abstract:

Aiming at the multi-stage tensioning control of cables for long-span cable-stayed bridges under the influence of sag nonlinearity, based on the fundamental principles of multi-stage equivalent tensioning of cables and sag nonlinearity effects, the multi-stage equivalent tensioning process is theoretically derived, providing correction methods for various influencing factors in theoretical calculations during the construction process, and a new theory for multi-stage equivalent tensioning calculation is proposed. Through comparison between numerical analysis and measured results, the maximum error of tension control using the proposed calculation theory is -1.25%, and the maximum beam alignment error is 3.3 cm. Compared with conventional linear methods, the proposed method can significantly improve the uniformity and accuracy of cable force calculation without multiple iterative calculations, meeting practical engineering application requirements and effectively guiding cable tensioning control in the construction of long-span cable-stayed bridges.

Key words: bridge and tunnel engineering, large-span cable-stayed bridge, equivalent tension, sag nonlinearity, multi-stage tension

CLC Number:

U445.4

ZHOU Sicheng, YANG Jian, WANG Laifa, WANG Xing’er, ZOU Ci. Multi-Stage Tensioning Control Method for Cables of Large-Span Cable-Stayed Bridge Considering Cable Nonlinear Effect[J]. Journal of Shanghai Jiao Tong University, 2026, 60(6): 975-984.

Figures/Tables 13

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影响因素	修正参数	修正方法
夹片回缩	F_i	F'_i=F_i+EAΔ/l₀
结构温度变形	L₀	L'₀=L₀-h_Tsin α
钢绞线与结构温差	l₀₁ l₀₂	l'₀₁=l₀₁+α_tl₀₁(T-T₀) l'₀₂=l₀₂+α_tl₀₂(T-T₀)
一级张拉误差	F_N1	F'_N1=F_N1+F_m
钢绞线松弛	F_i	F'_i=(1+α_s)F_i

参数	取值
截面面积/mm²	140
钢绞线(含保护层)单位重力/(kN·m^-1)	0.013
弹性模量/GPa	199
抗拉强度/MPa	1 860

参数	取值
n	75
α/rad	0.426
EA/kN	27 860
q/(kN·m^-1)	0.014
L₀/m	350.8
K/(kN·m^-1)	10 277.8

索号	钢绞线首股力理论计算结果/ kN	设计索力/kN	实测索力/kN	索力误差/%	拉索内各钢绞线张拉力最大差值/kN
EM11	79.00	3 574.25	3 602.40	0.79	0.30
ES11	75.09	4 566.92	4 553.12	-0.30	0.20
EM10	76.99	3 467.10	3 483.20	0.46	0.40
ES10	74.33	4 517.74	4 502.58	-0.34	0.10
EM09	77.07	3 440.86	3 470.78	0.87	0.30
ES09	75.27	4 570.55	4 546.79	-0.52	0.40
EM07	85.05	3 299.77	3 258.54	-1.25	0.60
ES07	80.15	4 861.04	4 890.14	0.60	0.30
EM06	91.43	3 477.09	3 493.09	0.46	0.30
ES06	89.35	3 619.39	3 637.71	0.51	0.20
WM11	86.12	3 813.30	3 806.38	-0.18	0.30
WS11	72.83	5 120.89	5 140.76	0.39	0.50
WM10	77.94	3 514.47	3 523.92	0.27	0.20
WS10	71.24	5 005.86	5 021.09	0.30	0.20
WM08	79.08	3 194.36	3 187.72	-0.21	0.20
WS08	75.92	4 650.28	4 667.40	0.37	0.20