Experiment and Calculation Method of the Dynamic Response of Deep Water Bridge in Earthquake

Li, Yue; Zhi, Li; Wu, Qing

doi:10.1590/1679-78253872

Cited by 12 publications

(6 citation statements)

References 10 publications

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“…It was found that the presence of water around the pier reduced the natural frequency of the pier. Similarly, Li et al [6] reported that the vibration periods of bridge piers increased in the presence of water, and the natural frequency of deep-water bridges was low. Under earthquake action, the fluid-structure interaction increased the internal force at the bridge girders and the piers' bottom.…”

Section: Introductionmentioning

confidence: 86%

Experimental Study on Effect of Water Depth on Earthquake Response of a Deep-water Cable-stayed Bridge Tower

Geng

Leng

et al. 2023

J. Phys.: Conf. Ser.

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With the aim of investigating the effect of water depth on the earthquake response of a deep-water cable-stayed bridge tower, this study designed and manufactured a large-scale bridge tower model, taking a cable-stayed bridge across a deep reservoir of a hydropower station as a reference. Under the boundary conditions similar to the reference, shaking table tests were conducted to reflect the structural response of the bridge tower under white noise and earthquake actions at different water depths. The time history curve of the bridge tower’s structural response was recorded and used to investigate the variations in the natural frequency, displacement, stress and strain of a deep-water cable-stayed bridge tower at different water depths under earthquake actions. The results showed that the natural frequency of the bridge tower decreased almost linearly with the increase in the water depth. The displacement at the tower top increased gradually with the increase in the water depth under earthquake actions. In addition, the stress and strain at the tower bottom increased almost linearly in the transverse direction and nonlinearly in the longitudinal direction with the increase in the water depth.

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Section: Introductionmentioning

confidence: 86%

Experimental Study on Effect of Water Depth on Earthquake Response of a Deep-water Cable-stayed Bridge Tower

Geng

Leng

et al. 2023

J. Phys.: Conf. Ser.

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“…13,16,[23][24][25] Guo et al 16,24,25 adopted three simplified methods to calculate hydrodynamic forces of the pier under earthquakes. Three simplified methods, the rigid-structure method, 26 the method based on approximation of fundamental frequency, [27][28][29] and the Morison equation method 22,30 were adopted for 15,400 cases including 154 piers under 100 ground motions. Results showed that the added mass obtained with the Morison equation was much bigger compared with that obtained with the other two methods, and the difference increased with the relative size of the cross-section.…”

Section: Morison Equationmentioning

confidence: 99%

Seismic analysis and test facilities of deep‐water bridges considering water–structure interaction: A state‐of‐the‐art review

Zheng

et al. 2022

Earthquake Engineering and Resilience

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Deep‐water bridges are susceptible to severe damages under strong earthquakes. Water–structure interaction will considerably affect the dynamic performance of deep‐water bridges. In the past few decades, researchers have conducted extensive studies on the water–structure interaction and dynamic behavior of bridges through theoretical, numerical, and experimental investigations. This paper presents a comprehensive review on the calculation method for earthquake and wave‐induced hydrodynamic forces. The seismic responses of deep‐water bridges under individual or combined excitation of earthquake, wave, and current are discussed to explore the influence of water–structure interaction on the seismic capacity of deep‐water bridges. Finally, the development of testing facilities that can simulate the water–structure interaction is summarized. Particularly, a new multifunctional dual underwater shaking table system built‐in Tianjin University that can simulate multiple‐support excitation and water–structure interaction simultaneously is introduced in detail for the first time.

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“…Then, formula (4) can be rewritten as: is the additional hydrodynamic mass of the underwater structure. Next, formula (5) can be sorted out as: (6) where, M, C and K are the matrices of structural mass, damping and stiffness, respectively. As shown in formula (6), the structural impact of hydrodynamic pressure can be considered as the additional hydrodynamic mass that moves together with the structure.…”

Section: Analysis Of Structural Motions Based On Morison Equationmentioning

confidence: 99%

“…Next, formula (5) can be sorted out as: (6) where, M, C and K are the matrices of structural mass, damping and stiffness, respectively. As shown in formula (6), the structural impact of hydrodynamic pressure can be considered as the additional hydrodynamic mass that moves together with the structure. The coefficient of hydrodynamic inertia force CM depends on the shape of the structure.…”

Section: Analysis Of Structural Motions Based On Morison Equationmentioning

confidence: 99%

“…The piers of a cross-sea bridge are subject to the joint excitation of various loads induced by earthquake, wind and waves [1][2][3]. However, China has not yet acquired enough theoretical knowledge and empirical data about cross-sea bridges [4][5][6]. Therefore, it is of great engineering significance to develop a vibration control technique that suits cross-sea bridges.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Semi-active Control of Continuous Girder Bridges Considering the Coupling Effect of Earthquake and Hydrodynamic Pressure

Ma¹,

Wang²

2019

IJHT

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Under the action of earthquakes, the dynamic responses of cross-sea bridges are greatly influenced by the dynamic interaction between each pier and the surrounding water. Based on Morison equation, this paper mainly explores the responses of a continuous girder cross-sea bridge in uncontrolled and semi-active control modes, under the combined effect of earthquake and hydrodynamic pressure. First, a simplified two-degree-of-freedom (2DOF) analysis model was constructed for the bridge: the combined stiffness was proposed to reflect the effects of the bending and shear deformation features of the pier; the pier mass was aggregated on the top of the pier as the additional pier mass, using the shape function of linear deformation; the hydrodynamic pressure distributed on the pier was calculated by the Morison equation, converted into the equivalent node load on the top of the pier, and further transformed into the additional hydrodynamic mass. Then, a magnetorheological (MR) damper was added between the pier and the girder. The semi-active algorithm of the MR damper was designed based on the clipped-optimal control algorithm. The control force of the MR damper was optimized by the H2/LQG active control method. The results show that the hydrodynamic pressure changes the dynamic features of the bridge and increases the seismic responses of the bridge, calling for a stronger control force for semi-active control; the impact of hydrodynamic pressure must be considered in the seismic design of cross-sea bridges; the MR semi-active control can effectively suppress the dynamic responses of cross-sea bridges, enhancing the seismic safety of the bridge. The research results provide new insights into the vibration control of cross-sea bridges.

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Experiment and Calculation Method of the Dynamic Response of Deep Water Bridge in Earthquake

Cited by 12 publications

References 10 publications

Experimental Study on Effect of Water Depth on Earthquake Response of a Deep-water Cable-stayed Bridge Tower

Experimental Study on Effect of Water Depth on Earthquake Response of a Deep-water Cable-stayed Bridge Tower

Seismic analysis and test facilities of deep‐water bridges considering water–structure interaction: A state‐of‐the‐art review

Semi-active Control of Continuous Girder Bridges Considering the Coupling Effect of Earthquake and Hydrodynamic Pressure

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