Effect of the main cable bending stiffness on flexural and torsional vibrations of suspension bridges: Analytical approach

Zhang, Wenming; Lu, Xiao-fan; Wang, Zhiwei; Liu, Zhao

doi:10.1016/j.engstruct.2021.112393

Cited by 16 publications

(5 citation statements)

References 23 publications

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“…An end of the bellows section was fixed while calculating the stiffness, and axial and radial displacements of 1 mm were applied to the other end to determine the corresponding load forces. The corresponding axial and bending stiffness values were obtained from the load results (Zhang et al , 2021b). The schematic diagram of the test process is shown in Figure 3.…”

Section: Simulation Scheme and Model Simplificationmentioning

confidence: 99%

Research on vibration characteristics of rocket engine flow pipeline

Yong,

Wu-Qi

2024

AEAT

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Purpose Abnormal vibrations often occur in the liquid oxygen kerosene transmission pipelines of rocket engines, which seriously threaten their safety. Improper handling can result in failed rocket launches and significant economic losses. Therefore, this paper aims to examine vibrations in transmission pipelines. Design/methodology/approach In this study, a three-dimensional high-pressure pipeline model composed of corrugated pipes, multi-section bent pipes, and other auxiliary structures was established. The fluid–solid coupling method was used to analyse vibration characteristics of the pipeline under various external excitations. The simulation results were visualised using MATLAB, and their validity was verified via a thermal test. Findings In this study, the vibration mechanism of a complex high-pressure pipeline was examined via a visualisation method. The results showed that the low-frequency vibration of the pipe was caused by fluid self-excited pressure pulsation, whereas the vibration of the engine system caused a high-frequency vibration of the pipeline. The excitation of external pressure pulses did not significantly affect the vibrations of the pipelines. The visualisation results indicated that the severe vibration position of the pipeline thermal test is mainly concentrated between the inlet and outlet and between the two bellows. Practical implications The results of this study aid in understanding the causes of abnormal vibrations in rocket engine pipelines. Originality/value The causes of different vibration frequencies in the complex pipelines of rocket engines and the propagation characteristics of external vibration excitation were obtained.

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Section: Simulation Scheme and Model Simplificationmentioning

confidence: 99%

Research on vibration characteristics of rocket engine flow pipeline

Yong,

Wu-Qi

2024

AEAT

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“…Compared with the finite element model (FEM), the analytical model has the advantages of low calculation expense, convenient parameter discussion, and high accuracy and is widely used in the preliminary design stage of suspension bridges, providing a reference for the selection of bridge structural parameters (Choi et al, 2014;Zhang et al 2019bZhang et al , 2021cZhou et al, 2021). The deflection theory has been one of the most popular analytical methods, with a suitable numerical solution method (Del Arco and Aparicio 2001).…”

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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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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“…Structural cables are flexible elements that can carry only tensile forces, however, depending on their function, types of support in the system and, above all, cross-sectional area can be considered as elements with some bending stiffness (Zhang et al, 2021). It needs to be mentioned that the value of bending stiffness should be determined from experimental tests (Chen et al, 2015).…”

Section: Introductionmentioning

confidence: 99%

Dynamic response of a guy line of a guyed tower to stochastic wind excitation: 3D non-linear small-sag cable model

Weber,

Jabłonka,

Iwankiewicz

2024

Journal of Theoretical and Applied Mechanics

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In the proposed approach, a 3D response of the guy line treated as a small-sag cable is considered. The strong dynamic wind action leads to the base motion excitation of the guy line. Longitudinal cable displacements are coupled with lateral ones. Hamilton's principle and Galerkin method are used to obtain the set of differential equations of motion. The cable excitation is assumed as a narrow-band stochastic process modelled as a response of an auxiliary linear filter to a Gaussian white noise process. The equivalent linearization technique is applied to obtain approximate analytical results verified against the numerical Monte Carlo simulation.

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Effect of the main cable bending stiffness on flexural and torsional vibrations of suspension bridges: Analytical approach

Cited by 16 publications

References 23 publications

Research on vibration characteristics of rocket engine flow pipeline

Research on vibration characteristics of rocket engine flow pipeline

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

Dynamic response of a guy line of a guyed tower to stochastic wind excitation: 3D non-linear small-sag cable model

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