Hanger pre-tensioning force optimization of steel tied-arch bridges considering operational loads
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INDUSTRIAL APPLICATION PAPER
Hanger pre-tensioning force optimization of steel tied-arch bridges considering operational loads Hongyou Cao 1
&
Yupeng Chen 1 & Lifei Yang 2 & Liuyang Feng 3
Received: 21 February 2020 / Revised: 5 August 2020 / Accepted: 7 August 2020 # Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract Full design analysis of a bridge usually has lots of load cases and leads to the analysis process, which is extremely timeconsuming. To reduce the computational cost, the existing hanger pre-tensioning force optimization approaches for cablesupported bridges always consider only a few critical load cases. This study presents an efficient approach for hanger pretensioning force optimization of steel tied-arch bridges, which can include all the operational loads and their combinations based on the code requirements. The proposed method develops a load decoupling approach (LDA) to enhance the computational efficiency of structural analysis in optimization and utilize the particle swarm optimization algorithm to search the global optimal design. The LDA divides the structural analysis procedure into two systems: (1) iteration-varying and (2) iteration-invariant. The former evaluates the structural responses induced by different hanger forces using unit load method (ULM) and the latter solely needs a single finite element (FE) analysis before iteration to calculate the structural responses caused by the other loads. The superposition principle combines the results from the two systems to identify the minimum safety margin of the bridge under the ultimate limit state. A practical bridge is examined to compare the proposed method with three traditional hanger force determination approaches. The obtained results illustrate that the proposed method not only owns high efficiency but also leads to a safer design and has a broader application range. Keywords Arch bridge . Pre-tensioning force . Finite element method . Optimization . Computational efficiency
1 Introduction Tied-arch bridges have been widely applied in engineering practice due to their spanning capacity, esthetic, and economic grounds. Different from traditional girder bridges, as a type of cable-supported bridges, tied-arch bridges provide an approach to accommodate the load distribution between the arch, girder, and hangers by stretching the hangers. Determination of the optimal hanger pre-tensioning force for Responsible Editor: Jianbin Du * Hongyou Cao [email protected]; [email protected] 1
School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan 430070, China
2
School of Civil Engineering & Mechanics, Huazhong University of Science & Technology, Wuhan 430074, China
3
Department of Civil Engineering and Environment Engineering, Nanyang Technological University, Singapore 639798, Singapore
tied-arch bridges still faces challenges since the structural analyses of tied-arch bridges are complicated and time expensive while including all the code-based operational loads and their comb
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