Analytical solution to mapping rail deformation under bridge transverse deformation using energy variational principle

Lai, Zhipeng; Jiang, Lizhong; Zhou, Wangbao; Liu, Xiang; Yu, Jian; Zhang, Yuntai

doi:10.1007/s11771-022-5096-4

Cited by 11 publications

(3 citation statements)

References 31 publications

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“…where C is the integration constant. Because the girder body does not expand in the axial direction under a bending load, 0 C = ; d is the shear lag warpage function that satisfies the axial balance parameter of Equation (31).…”

Section: ( )mentioning

confidence: 99%

“…According to the flexural displacement function of the flexural thin-walled box girder under the shear deformation of each plate, the energy variational principle [30,31] was applied to analyze the flexural displacement function of the thin-walled box girder. Using Equation (44), the longitudinal strain equation for each point of the thin-walled box girder section can be obtained as follows:…”

Section: Analysis Of Flexural Displacement Function Of Box Girder Via...mentioning

confidence: 99%

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Shear Lag Effect of Ultra-Wide Box Girder under Influence of Shear Deformation

Li,

Xie,

Wang

et al. 2024

Applied Sciences

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The objective of this study was to determine the reasonable flexural functions of ultra-wide box girders, reveal the mechanism of the shear lag effect, and improve the analysis theory of ultra-wide box girders. Considering a single-box three-chamber thin-walled box girder as an example, starting from an uneven transfer of shear flow, the flexural displacement function of the curved box girder under the influence of shear deformation of each plate was derived according to the flexural theory of a thin-walled box girder, balance equation of a thin-walled microelement plate, and theory of plane stress. The energy variational method was used to analyze the flexural displacement function, providing a theoretical solution for the shear lag effect of the curved box girder. A displacement correction of the cantilever plate displacement function was performed by comparing the calculation results for the shear lag coefficients. The results indicated that under the shear deformation of each plate, the flexural displacement functions of the wing and web plates of the box girder no longer satisfy the assumption of plane section. The flexural displacement function is a quadratic function of the transverse wing plate, and the web height is the sum of the first- and third-order functions. The theoretical calculation results agree sufficiently well with the experimental results, proving that the flexural displacement function of the box girder under the influence of the shear deformation of each plate is reliable.

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Section: ( )mentioning

confidence: 99%

Section: Analysis Of Flexural Displacement Function Of Box Girder Via...mentioning

confidence: 99%

Shear Lag Effect of Ultra-Wide Box Girder under Influence of Shear Deformation

Li,

Xie,

Wang

et al. 2024

Applied Sciences

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“…7 A recent study noted that the stiffness of the fixing device has a significant impact on rail deformation. 8 Hence, the fixing device is an important component in the CRTS II ballastless track, and its working performance has a significant impact on the mechanical performance of the track–bridge system. However, at present, it is difficult to determine the fixing-device stiffness in the CRTS II slab track because there are no reference testing results.…”

Section: Introductionmentioning

confidence: 99%

Stiffness identification of fixing device in CRTS II slab track based on long-term monitoring data

Wang

Lin

et al. 2023

Structural Health Monitoring

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The fixing device is an important component in the China Railway Track System (CRTS) II slab track, through which the longitudinal force of the track can be transferred to bridges and piers. The stiffness of the fixing device significantly affects the mechanical properties of the track. However, it is difficult to evaluate stiffness using conventional detection methods, because the fixing device is located under the base plate. In this study, the fixing-device stiffness of simply supported bridges was identified using long-term monitoring data and finite element (FE) analysis. First, a monitoring scheme was proposed based on the principle of track–bridge interaction. The strain in the base plate on both sides of the fixing device, as well as the temperature of the base plate and bridge, were obtained from 2015 to 2018. Then, the stiffness of the fixing device was proved to be closely related to the strain difference of the base plate on both sides of the fixing device, and the corresponding nonlinear mapping relationship was established through FE analysis. Finally, the fixing-device stiffness over 4 years was identified using long-term monitoring data and the established mapping function, and the influence of the stiffness degradation on the mechanical property of the track was discussed. This study can provide a reference for the design and maintenance of CRTS II slab tracks on multi-span simply supported bridges.

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An improved model for the nonlinear simulation of the high‐speed vehicle‐track‐bridge coupling system under seismic shaking

Lai,

Jiang,

Chen

et al. 2024

Earthq Engng Struct Dyn

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With the continuous development of high‐speed railway (HSR) construction technology, many HSR bridges are close to near‐fault earthquake zones. Due to the short warning time for earthquakes occurring in these areas, the scene of trains running on the HSR bridges under earthquakes will become more and more common. In order to effectively evaluate the train running safety performance on the HSR bridge under earthquakes, an improved model for the nonlinear simulation of the high‐speed vehicle‐track‐bridge (VTB) coupling system under seismic shaking is proposed. The commercial finite element software was utilized for the general modeling of track‐bridge structure, and nonlinear hysteric behaviors of key components were realized by using the local nonlinearity correction method. By adopting the unconditional stable explicit dynamic integration algorithm and an efficient wheel–rail contact model, an explicit dynamic solution framework is established. It can efficiently solve the nonlinear coupled vibration of the VTB system under earthquakes. Finally, based on the improved model developed in this paper, the influence of hysteretic behaviors of bridge bearings on the nonlinear coupling vibration of the VTB system under near‐fault earthquakes is discussed.

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Analytical solution to mapping rail deformation under bridge transverse deformation using energy variational principle

Cited by 11 publications

References 31 publications

Shear Lag Effect of Ultra-Wide Box Girder under Influence of Shear Deformation

Shear Lag Effect of Ultra-Wide Box Girder under Influence of Shear Deformation

Stiffness identification of fixing device in CRTS II slab track based on long-term monitoring data

An improved model for the nonlinear simulation of the high‐speed vehicle‐track‐bridge coupling system under seismic shaking

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