Dynamics shakedown analysis of slab track substructures with reference to critical speed

Wang, Juan; Shu, Liu; Yang, Wenbo

doi:10.1016/j.soildyn.2017.12.004

Cited by 30 publications

(10 citation statements)

References 36 publications

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“…C3D8 is finally chosen considering the computational cost. The FE model is validated by comparing the present lowerbound shakedown solutions with the analytical shakedown solutions of Wang et al (2018) for a homogenous case.…”

Section: Elastic Stress Fieldsmentioning

confidence: 99%

Shakedown for slab track substructures with stiffness variation

Shu

Wang

YuHai-Sui

et al. 2018

Geotechnical Research

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In this paper, shakedown analyses are carried out to predict the long-term response of slab track substructures under repeated moving train loads. The train loads are converted into a distributed moving load on the substructure surface by using a simplified track analysis. Based on Melan’s static shakedown theorem, a well-established shakedown analysis method is extended to determine shakedown limits of the slab track substructures. The influence of a linearly increasing stiffness modulus on the shakedown limits is considered by conducting finite-element analysis with a user-defined material. It is found that a rise in stiffness modulus or stiffness variation ratio can either increase or decrease the shakedown limit, depending on the competitive effects of the two mechanisms. Furthermore, the subgrade thickness determines the dominant mechanism.

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Section: Elastic Stress Fieldsmentioning

confidence: 99%

Shakedown for slab track substructures with stiffness variation

Shu

Wang

YuHai-Sui

et al. 2018

Geotechnical Research

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“…Therefore, shakedown analysis needs to be conducted considering that several wheel loads move simultaneously on the surface (e.g. Collins et al, 1993a;Wang et al, 2018a). Furthermore, the analysis of railway problems needs to take the effect of superstructure components into account.…”

Section: Simplification Of Problemsmentioning

confidence: 99%

“…Following that, a number of shakedown analysis methods for pavement and railway engineering problems were proposed (e.g. Ponter et al, 1985;Collins and Cliffe, 1987;Raad et al, 1988;Collins and Boulbibane, 1998;Yu and Hossain, 1998;Shiau and Yu, 2000;Yu, 2005;Boulbibane and Ponter, 2006;Li and Yu, 2006;Krabbenhøft et al, 2007;Nguyen et al, 2008;Zhao et al, 2008;Wang, 2011;Yu and Wang, 2012;Qian et al, 2017;Costa et al, 2018;Rahmani and Binesh, 2018;Wang et al, 2018a;Wang et al, 2018b;Liu et al, 2020).…”

Section: Introductionmentioning

confidence: 99%

Shakedown analysis and its application in pavement and railway engineering

Wang

2021

Computers and Geotechnics

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“…Arvin et al (2012) discussed the stability of seismic behavior of slopes using the lower bound dynamic shakedown theorem and discovered that the load capacity was underestimated as inadaption might occur under minor seismic load. Wang et al (2018) evaluated the response of a slab track substructure under moving train load especially with critical speed using lower bound dynamic shakedown theorem and proposed the conclusion that dynamic shakedown load is related to the ratio of the train speed and the critical speed. All these studies found that dynamic shakedown loads of structures were related with the external load frequency and structure natural frequency.…”

Section: Introductionmentioning

confidence: 99%

Dynamical shakedown analysis of high-rise tower structure

Hong-tao

Peng

Liu

2021

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Purpose High-rise tower structures supported by side frame structure and viscous damper in chemical industry can produce plasticity under dynamic loads, such as wind and earthquake, which will heavily influence the long-term safety operation. This paper aims to systematically study the optimization design of these structures by free vibration and dynamic shakedown analysis. Design/methodology/approach The transfer matrix method and Euler–Bernoulli beam vibration are used to study the free vibration characteristic of the simplified high-rise tower structure. Then the extended stress compensation method is used to construct the self-equilibrated stress by using the dynamic load vertexes and the lower bound dynamic shakedown analysis for the structure with viscous damper. Using the proposed method, comprehensive parametric studies and optimization are performed to examine the shakedown load of high-rise tower with various supported conditions. Findings The numerical results show that the supported frame stiffness, attached damper or spring parameters influence the free vibration and shakedown characters of high-rise tower very much. The dynamic shakedown load is lowered down quickly with external load frequency increasing to the fundamental natural frequency of the structure under spring supported condition, while changed little with the damping connection. The optimized location and parameter of support are obtained under dynamical excitations. Research limitations/implications In this study, the high-rise tower structure is simplified as a cantilever beam supported by a short cantilever beam and a damper under repeated dynamic load, and linear elasticity for solid is assumed for free vibration analysis. The current analysis does not account for effects such as large deformation, stochastic external load and nonlinear vibration conditions which will inevitably be encountered and affect the load capacity. Originality/value This study provides a comprehensive method for the dynamical optimization of high-rise tower structure by combining free vibration and shakedown analysis.

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Dynamics shakedown analysis of slab track substructures with reference to critical speed

Cited by 30 publications

References 36 publications

Shakedown for slab track substructures with stiffness variation

Shakedown for slab track substructures with stiffness variation

Shakedown analysis and its application in pavement and railway engineering

Dynamical shakedown analysis of high-rise tower structure

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