A four-variable shear and normal deformable quasi-3D beam model to analyze the free and forced vibrations of FG-GPLRC beams under moving load

Jafari, P.; Kiani, Y.

doi:10.1007/s00707-022-03256-w

Cited by 26 publications

(5 citation statements)

References 44 publications

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“…The dimensionless natural frequencies are listed in Table 1. As can be seen, the present results completely agree with those of Jafari and Kiani [11].…”

Section: Validation Studysupporting

confidence: 92%

“…Firstly, the first three dimensionless natural frequencies ω i L/h 12ρ/E of the an isotropic homogeneous beam are computed and compared with those of Jafari and Kiani [11] based on the quasi-3D beam theory. Parameters of the beam are set as [11], ϑ o = 0.0. The dimensionless natural frequencies are listed in Table 1.…”

Section: Validation Studymentioning

confidence: 99%

“…Simsek [10] analyzed the dynamic behavior of a FGM beam under a moving mass with different beam theories. Jafari and Kiani [11] focused on the dynamic response of porous beams reinforced with GPLs subjected to a moving load by using the quasi-3D theory. Van-Long Nguyen et al [12] investigated the nonlinear dynamic features of porous beams interacted with the Winkler-Pasternak foundation and subjected to a travelling mass.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic response of sandwich beam with porous core excited by two harmonic loads travelling in opposite directions

Hung,

Duc,

2024

Vietnam J. Mech.

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This paper presents the time history response of a sandwich beam with a porous core subjected to two moving harmonic loads with opposite directions. In the modelling, the beam is combined of two isotropic face sheets and a porous core with symmetric porosity distribution. The quasi-3D shear deformation beam theory in conjunction with Hamilton's variational principle is utilized to set up the governing equations of motion. The Navier solution is used to obtain the displacement field. The accuracy of the study is validated by comparing with existing results in the literature for specific cases. Effects of the velocity and excitation frequency of the moving loads on the deflection-time history are investigated and discussed. Numerical results reveal that in the case of the double-moving harmonic loads in the antiphase, the resonance phenomenon cannot occur when the excitation frequency approaches the natural frequency of the beam.

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“…The dimensionless natural frequencies are listed in Table 1. As can be seen, the present results completely agree with those of Jafari and Kiani [11].…”

Section: Validation Studysupporting

confidence: 92%

Section: Validation Studymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dynamic response of sandwich beam with porous core excited by two harmonic loads travelling in opposite directions

Hung,

Duc,

2024

Vietnam J. Mech.

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“…They considered the thickness stretching and accounted for non-uniform through-the-thickness shear strain. Jafari and Kiani [ 41 ] utilized a four-variable shear and normal deformable quasi-3D beam model to analyze the free and forced vibrations of composite beams reinforced with graphene under a moving load. Wang and Kiani [ 42 ] explored the effects of initial compression/tension, foundation damping, and a Pasternak medium on the dynamics of shear and normal deformable beams reinforced with graphene platelets (GPLs) under a moving load.…”

Section: Introductionmentioning

confidence: 99%

Nano-Clay Platelet Integration for Enhanced Bending Performance of Concrete Beams Resting on Elastic Foundation: An Analytical Investigation

et al. 2023

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Acknowledging the growing impact of nanotechnologies across various fields, this engaging research paper focuses on harnessing the potential of nano-sized materials as enhancers for concretes. The paper emphasizes the strategic integration of these entities to comprehensively improve the strength and performance of concrete matrixes. To achieve this, an analytical study is conducted to investigate the static behavior of concrete beams infused with different types of clay nano-platelets (NC’s), employing quasi-3D beam theory. The study leverages the effective Eshelby’s homogenization model to determine the equivalent elastic characteristics of the nanocomposite. The intricate interactions of the soil medium are captured through the use of a Winkler–Pasternak elastic foundation. By employing virtual work principles, the study derives equations of motion and proposes analytical solutions based on Navier’s theory to unravel the equilibrium equations of simply supported concrete beams. The results shed light on influential factors, such as the clay nano-platelet type, volume percentage, geometric parameters, and soil medium, providing insights into the static behavior of the beams. Moreover, this research presents previously unreported referential results, highlighting the potential of clay nano-platelets as reinforcements for enhancing structural mechanical resistance.

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“…By using the four-variable shear and normal deformable quasi-3D beam theory, the free and forced vibration behavior of FG-GPLRC beams subjected to moving loads was mentioned by Jafari and Kiani. 45 For the FG-GPLRC plates and doubly curved shells, by using the FSDT, the dynamic response and free vibration of rectangular and skew plates were also mentioned. 46–48 The investigations of the free and forced vibrations of the sandwich cylindrical panels made from two FG-GPLRC coatings and the honeycomb auxetic core was carried out by Karimiasl and Alibeigloo.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear thermo-mechanical buckling and postbuckling of sandwich FG-GPLRC spherical caps and circular plates with porous core by using higher-order shear deformation theory

Bui

Duong

et al. 2022

Journal of Thermoplastic Composite Materials

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The main aim of this research is to establish the algorithm for nonlinear thermo-mechanical buckling of sandwich functionally graded graphene platelet reinforced composite (FG-GPLRC) shallow spherical caps and circular plates with porous core under external pressure and/or uniformly distributed thermal load according to the higher-order shear deformation theory considering the von Karman nonlinearities. Sandwich spherical caps and circular plates are made by the porous core and two FG-GPLRC coatings and are assumed to be rested on an elastic foundation modeled by the Pasternak model. The equilibrium equation system in the form of nonlinear algebra can be approximately obtained using the Ritz energy method. The critical buckling loads and postbuckling curves can be explicitly determined. The effects of material parameters, geometrical parameters, porous core, and elastic foundation on thermo-mechanical buckling of sandwich spherical caps and circular plates with porous core and FG-GPLRC coatings are investigated and discussed in detail in the numerical investigation section.

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A four-variable shear and normal deformable quasi-3D beam model to analyze the free and forced vibrations of FG-GPLRC beams under moving load

Cited by 26 publications

References 44 publications

Dynamic response of sandwich beam with porous core excited by two harmonic loads travelling in opposite directions

Dynamic response of sandwich beam with porous core excited by two harmonic loads travelling in opposite directions

Nano-Clay Platelet Integration for Enhanced Bending Performance of Concrete Beams Resting on Elastic Foundation: An Analytical Investigation

Nonlinear thermo-mechanical buckling and postbuckling of sandwich FG-GPLRC spherical caps and circular plates with porous core by using higher-order shear deformation theory

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