Dynamic analysis of layered systems under a moving harmonic rectangular load based on the spectral element method

Sun, Zhaojie; Kasbergen, Cor; Skarpas, Athanasios; Anupam, Kumar; Dalen, Karel N. van; Erkens, Sandra

doi:10.1016/j.ijsolstr.2019.06.022

Cited by 22 publications

(11 citation statements)

References 16 publications

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“…For a layered foundation, the matrices of fundamental solutions

are implemented using the superposition principle. This construction of a solution for a multilayer medium is based on the derivation of constitutive relations for one layer with stress vectors specified on its faces [ 26 ].…”

Section: Analytical Approach To the Problem Of The Underground Objmentioning

confidence: 99%

“…The design of buildings and structures under dynamic loads from moving vehicles is considered in the works of Zhou et al [ 24 ] and Ai et al [ 25 ]. Sun et al [ 26 ] noted that high-performance roads require a reliable tool that can calculate the structural response caused by moving vehicles. Models based on the method of spectral elements are proposed for efficiently predicting the three-dimensional dynamic response of layered systems under a moving load.…”

Section: Introductionmentioning

confidence: 99%

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Structural Monitoring of Underground Structures in Multi-Layer Media by Dynamic Methods

Lyapin

Beskopylny

Meskhi

2020

Sensors

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The actual problem of structural monitoring and modeling of dynamic response from buried building is considered in the framework of arbitrary dynamic load. The results can be used for designing underground transport constructions, crossings, buried reservoirs and foundations. In existing methods, the system of sensors that register the response to a dynamic action does not allow for effective interpretation of the signal without understanding the dynamic features and resonance phenomena. The analytical and numerical solution of the problem of the dynamics of a buried object in a layered medium is considered. A multilayer half-space is a set of rigidly interconnected layers characterized by elastic properties. At a distance, an arbitrary dynamic load acts on the half-space, which causes oscillations in the embedded structure, and the sensor system registers the response. The problem of assessing the dynamic stress-strain state (DSSS) is solved using Fourier transforms with the principle of limiting absorption. As an example, the behavior of an embedded massive structure of an underground pedestrian crossing under the influence of a dynamic surface source on a multilayer medium is considered, as well as instrumental support of the sensor system. The solution in the form of stress, strain and displacement fields is obtained and compared with the experimental data. The frequency-dependent characteristics of the system are determined and the possibility of determining the DSSS by a shock pulse is shown.

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“…For a layered foundation, the matrices of fundamental solutions

Section: Analytical Approach To the Problem Of The Underground Objmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Structural Monitoring of Underground Structures in Multi-Layer Media by Dynamic Methods

Lyapin

Beskopylny

Meskhi

2020

Sensors

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“…As presented in Sun et al (2019), a spectral element method-based procedure can be used to calculate the response of elastic layered systems under moving surface loads.…”

Section: Response Of Elastic Layered Systems Under Moving Surface Loadsmentioning

confidence: 99%

“…By following the same Fourier transform convention shown in Sun et al (2019), the expression of the complex Young's modulus for the Zener model in the wavenumber-frequency domain can be obtained by replacing ǝt with iω, replacing ǝx with -ikx, and using the analogy relation similar to that of linear elasticity:…”

Section: Simulation Of Materials Dampingmentioning

confidence: 99%

Parameter Identification of Asphalt Pavements Subjected to Moving Loads

Sun

Kasbergen

Dalen

et al. 2020

Lecture Notes in Civil Engineering

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Pavements generally demand necessary maintenance and rehabilitation to maintain their service performance in the whole lifespan. The maintenance and rehabilitation strategies are usually formulated based on the results of non-destructive testing, in which the traffic speed deflectometer (TSD) test is an efficient tool for pavement detection at network level. In this paper, the TSD test on asphalt pavements is simulated by a spectral element method-based theoretical model, which is further combined with a nonlinear minimisation algorithm to achieve parameter identification. After conducting parameter sensitivity analysis, a case study is used to demonstrate the ability of the proposed parameter identification technique. The results show that this technique can deal with TSD measurements to identify the structural parameters of asphalt pavements. The presented parameter identification technique is a reliable tool to predict the structural parameters of asphalt pavements by analysing corresponding TSD measurements, which is beneficial to formulate accurate maintenance and rehabilitation strategies.

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“…Bundan sonra oluşturulan integral denklemleri kullanılarak sınır büyüklükleri (gerilme ve deplasman) ve iç noktalardaki tepki büyüklükleri (gerilme ve deplasman) sayısal olarak hesaplanabilir. Literatürde bulunan elastik/tabakalı yarım uzayın serbest veya yüzeyindeki hareketli yükler altındaki tepkisinin SEM ile hesaplanması [31][32][33][34][35]…”

Section: Gi̇ri̇ş (Introduction)unclassified

Esnek üstyapılarda tekerlek temas gerilmesi ve deplasman dağılımlarının üç boyutlu sınır eleman metodu ile belirlenmesi

Deneme

2021

Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi

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 Flexible pavement design  Stress and deflection distributions on flexible pavements  3-D constant boundary elementIn this study, the boundary element method (BEM) was employed for the numerical determination of the response of flexible pavements. The material behaviour of the soil was assumed to be linear elastic. The BEM was used in the Fourier transform space. The focus of this paper is to determine the stress and deflection distributions in interior points of the elastic half space. Therefore, in the static analysis, formulation was considered for stress and deflection distributions on flexible pavements, since the purpose of the study is to analyse the influence of the load model on the pavement response, with the BEM formulation adopted for pavement design. The results of stress and deflection distributions on flexible pavements calculated by BEM are compared with the results obtained from Boussinesq equations published in the literature. Figure A. Load types on elastic half space Purpose:The focus of this study is to determine the stress and deflection distributions of interior points of the elastic half space. To achieve this aim, a computer program is developed for threedimensional elastic problems Theory and Methods:The static analysis, formulation was considered for stress and deflection distributions on flexible pavements, since the purpose of the study is to analyse the influence of the load model on the pavement response, with the BEM formulation adopted for pavement design. Results:The results, which were obtained using boundary element formulation, are presented and compared with the results obtained from Boussinesq formula ones. The both results obtained from BEM and Boussinesq formula are in perfect agreement with each Conclusion:Based on the formulation, general purpose computer program is developed, and it is applied to flexible pavement design problems. The formulation proposed in this paper is assessed by applying to the several problems. The results are obtained from BEM formulation and compared with those obtained from Boussinesq formulas. The comparisons showed that the formulation presented in this study can be used with a perfect confidence in calculation of the stresses and deflection distributions at any point of flexible pavement system and flexible pavement design problems.

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Dynamic analysis of layered systems under a moving harmonic rectangular load based on the spectral element method

Cited by 22 publications

References 16 publications

Structural Monitoring of Underground Structures in Multi-Layer Media by Dynamic Methods

Structural Monitoring of Underground Structures in Multi-Layer Media by Dynamic Methods

Parameter Identification of Asphalt Pavements Subjected to Moving Loads

Esnek üstyapılarda tekerlek temas gerilmesi ve deplasman dağılımlarının üç boyutlu sınır eleman metodu ile belirlenmesi

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