Research on the Cable Force Optimization of the Precise Closure of Steel Truss Arch Bridges Based on Stress-Free State Control

Ningbo Wang, Qian Wei, Zhugang Chang (), Bei Liu, Zhihao Fan and Chengshuo Han
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Ningbo Wang: School of Civil Engineering, Central South University, Changsha 410075, China
Qian Wei: School of Civil Engineering, Central South University, Changsha 410075, China
Zhugang Chang: School of Civil Engineering, Central South University, Changsha 410075, China
Bei Liu: School of Civil Engineering, Central South University, Changsha 410075, China
Zhihao Fan: School of Civil Engineering, Central South University, Changsha 410075, China
Chengshuo Han: School of Civil Engineering, Central South University, Changsha 410075, China

Mathematics, 2025, vol. 13, issue 14, 1-22

Abstract: During the construction of large-span steel truss arch bridges, challenges such as complex control calculations, frequent adjustments of the cantilever structure, and deviations in the closure state often arise in the process of the assembly and closure of arch ribs. Based on the stress-free state control theory, this paper proposes a precise assembly control method for steel truss arch bridges, which takes the minimization of structural deformation energy and the maintenance of the stress-free dimensions of the closure wedge as the control objectives. By establishing a mathematical relationship between temporary buckle cables and the spatial position of the closure section, as well as adopting the influence matrix method and the quadprog function to determine the optimal parameters of temporary buckle cables (i.e., size, position, and orientation) conforming to actual construction constraints, the automatic approaching of bridge alignment to the target alignment can be achieved. Combined with the practical engineering case of Muping Xiangjiang River Bridge, a numerical calculation study of the precise assembly and closure of steel truss arch bridges was conducted. The calculated results demonstrate that, under the specified construction scheme, the proposed method can determine the optimal combination for temporary buckle cable tension. Considering the actual construction risk and the economic cost, the precise matching of closure joints can be achieved by selectively trimming the size of the closure wedge by a minimal amount. The calculated maximum stress of the structural rods in the construction process is 42% of the allowable value of steel, verifying the feasibility and practicality of the proposed method. The precise assembly method of steel truss arch bridges based on stress-free state control can significantly provide guidance and reference for the design and construction of bridges of this type.

Keywords: steel truss arch bridge; stress-free state; influence matrix method; precise closure; cable force optimization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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