Analytical investigation of the main cable bending stiffness effect on free flexural vibration of suspension bridges with a 3D cable system

Sun, Yuan; Zhang, Ming; Wang, Xiaoming; Zhao, Jianling; Bai, Yunteng

doi:10.1016/j.istruc.2022.05.010

Cited by 7 publications

(4 citation statements)

References 28 publications

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“…Designers widely favor suspension bridges due to their superior spanning capacity and efficient material utilization (Sun et al, 2022; Wang et al, 2023; Zhang et al, 2021b). While the suspension bridge continues to develop to a larger span, the structural form has also been constantly innovative.…”

Section: Introductionmentioning

confidence: 99%

“…Zhang et al (2021d) derived an analytical formula for calculating the gravity stiffness of a three-tower suspension bridge. Sun et al (2022) proposed an analytical model to analyze the bending stiffness effect of the 3D cable system on the free flexural vibration of the suspension bridge. Liu et al (2023) studied the effect of longitudinal tower-girder connections on three-tower self-anchored suspension bridges based on an analytical model.…”

Section: Introductionmentioning

confidence: 99%

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Rock anchor hanger effect on single-tower earth-anchored suspension bridge mechanical performance: An analytical model and multi-objective golden eagle optimization

Chen,

Zhang

2024

Advances in Structural Engineering

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The application of a composite saddle in single-tower earth-anchored suspension bridges (STEASBs) replaces the tower on the steep slope side, which is a cost-effective solution that improves bridge safety and provides environmental protection for the steep bank slope of the valley. However, this novel bridge design needs an appropriate model to evaluate the effect of rock anchor hangers on the structure in the non-girder area and adjust their parameters to optimize the mechanical response of the whole bridge structure. This study proposes an approach to quickly evaluate the most unfavorable load cases of the STEASB and further optimizes the structural parameters of rock anchor hangers to enhance structural safety. An analytical model for the STEASBs under the live load is proposed and verified by the finite element model (FEM), with the maximum relative error not exceeding 7.37%. Combined with the golden eagle optimizer (GEO), the most unfavorable load cases of the corresponding design indices are yielded. The Pareto optimal solutions for the spacing, cross-sectional area, and initial tension of the vertical rock anchor hangers are obtained through multi-objective optimization to improve the mechanical behavior of STEASBs. In addition, it is clarified that the main function of rock anchor hangers is to reduce the peak value of the stress amplitude of the hangers and girder-end rotation, providing a theoretical basis for the STEASB design.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Rock anchor hanger effect on single-tower earth-anchored suspension bridge mechanical performance: An analytical model and multi-objective golden eagle optimization

Chen,

Zhang

2024

Advances in Structural Engineering

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“…Compared with the finite element model, the analytical model is widely used in the analysis of suspension bridge due to its higher calculation efficiency while ensuring the accuracy (Sun et al, 2022, Wang et al, 2023). Researchers prefer to analyze the effect of structural parameters on the deflection-to-span ratio and saddle sliding resistance coefficient from the analytical model.…”

Section: Introductionmentioning

confidence: 99%

Reliability-based assessment of reasonable mid-tower lateral stiffness for a three-tower suspension bridge

Chen¹,

Zhang²,

Liu

2023

Advances in Structural Engineering

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A reasonable lateral stiffness of the bridge mid-tower should ensure that the deflection-to-span ratio and sliding resistance coefficient satisfy the design requirements. However, if this stiffness is determined by the deterministic parametric analysis, the above two verification indices may exceed the threshold due to the randomness of the high-dimensional structure and load parameters. To satisfy the structural safety requirements of a three-tower suspension bridge during its design life, this study proposes a method to quickly and accurately evaluate the reliability indices of the deflection-to-span ratio and sliding resistance coefficient of the three-tower suspension bridge. Based on advanced first-order second-moment, the proposed method transforms the reliability problem into an optimization problem with constraint functions, uses the single-cable theory to establish the limit state function, and combines the manta ray foraging optimization algorithm and penalty function to derive the reliability index. The effectiveness of the proposed method is verified by performing Latin hypercube sampling for an examplary three-tower suspension bridge. These results prove that the new technique avoids tedious finite element simulation and surrogate model fitting, ensuring the accuracy of the reliability index while improving the calculation efficiency. The study further identifies critical structural parameters by parametric analysis. Based on the inverse reliability, the dimensionless stiffness range for the mid-tower with the randomness of the parameters is derived, and the preliminary design method of the lateral stiffness of the mid-tower based on the reliability is established.

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“…Therefore, the vast majority of studies have focused on geometric composition, fabrication process [7][8][9][10][11][12] and mechanical performance when subjected to axial loading, e.g., finite element simulation method [13][14][15][16][17][18], natural vibration characteristics [19][20][21][22][23] and theoretical predications [24][25][26][27][28][29]. In comparison, few scholars have carried out studies of strand cables subjected to lateral loading [30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Response Characteristics of Pre-Stressed Strand Cables Subjected to Low-Velocity Impact: Experiment Test

Yang

et al. 2023

Buildings

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This paper introduces some experimental data measured from 63 impact tests of pre−stressed strand cables. The test specimens consist of seven steel wires that have a length equivalent to 100 times the outside diameter. To ensure consistency with the engineering service status, the strand cables are fully installed in a specially designed device and are axially pre−stretched to 0% to 40% of the ultimate bearing capacity before being subjected to lateral impact. The mass of the indenter is 50.34 kg, and the maximum impact velocity reaches 13 m/s. Two dimensionless variables, axial force and input kinetic energy, are used to control the experimental parameters. The recorded test data show that input energy and pre−stress level are the key factors governing the impact behavior, which is mainly characterized by plastic deformation controlled by the combination of tension and flexure, and the dynamic fracture concentrated in the impact zone is controlled by the joint effects of compression, tension and shear. As the impact energy increases, the dynamic mode of the test specimen changes from elastic rebound to plastic deformation, and finally evolves into fracture of some or all steel wires, which correspond to slight, partial and total loss of pre−tension, respectively. An increase in the level of pre−stress will significantly reduce the critical displacement of the structural failure but has little effect on the critical failure energy. The present paper provides a basic experimental data and mechanical analysis framework for the analysis, design and evaluation of the mechanical behavior of strands under accidental lateral impact.

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Analytical investigation of the main cable bending stiffness effect on free flexural vibration of suspension bridges with a 3D cable system

Cited by 7 publications

References 28 publications

Rock anchor hanger effect on single-tower earth-anchored suspension bridge mechanical performance: An analytical model and multi-objective golden eagle optimization

Rock anchor hanger effect on single-tower earth-anchored suspension bridge mechanical performance: An analytical model and multi-objective golden eagle optimization

Reliability-based assessment of reasonable mid-tower lateral stiffness for a three-tower suspension bridge

Response Characteristics of Pre-Stressed Strand Cables Subjected to Low-Velocity Impact: Experiment Test

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