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Nonlinear dynamic analysis of moving bilayer plates resting on elastic foundations

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Nonlinear dynamic analysis of moving bilayer plates resting on elastic foundations. / Esmaeilzadeh, M.; Kadkhodayan, Mehran; Mohammadi, S. ; Turvey, Geoffrey.

In: Applied Mathematics and Mechanics, Vol. 41, 31.03.2020, p. 439-458.

Research output: Contribution to journalJournal articlepeer-review

Harvard

Esmaeilzadeh, M, Kadkhodayan, M, Mohammadi, S & Turvey, G 2020, 'Nonlinear dynamic analysis of moving bilayer plates resting on elastic foundations', Applied Mathematics and Mechanics, vol. 41, pp. 439-458. https://doi.org/10.1007/s10483-020-2587-8

APA

Esmaeilzadeh, M., Kadkhodayan, M., Mohammadi, S., & Turvey, G. (2020). Nonlinear dynamic analysis of moving bilayer plates resting on elastic foundations. Applied Mathematics and Mechanics, 41, 439-458. https://doi.org/10.1007/s10483-020-2587-8

Vancouver

Esmaeilzadeh M, Kadkhodayan M, Mohammadi S, Turvey G. Nonlinear dynamic analysis of moving bilayer plates resting on elastic foundations. Applied Mathematics and Mechanics. 2020 Mar 31;41:439-458. https://doi.org/10.1007/s10483-020-2587-8

Author

Esmaeilzadeh, M. ; Kadkhodayan, Mehran ; Mohammadi, S. ; Turvey, Geoffrey. / Nonlinear dynamic analysis of moving bilayer plates resting on elastic foundations. In: Applied Mathematics and Mechanics. 2020 ; Vol. 41. pp. 439-458.

Bibtex

@article{904aea72a3cc4f1c9bbf87739d51fc5a,
title = "Nonlinear dynamic analysis of moving bilayer plates resting on elastic foundations",
abstract = "The aim of this study is to investigate the dynamic response of axially movingtwo-layer laminated plates on the Winkler and Pasternak foundations. The upper and lower layers are formed from a bidirectional functionally graded (FG) layer and a graphene platelet (GPL) reinforced porous layer, respectively. Henceforth, the combined layers will be referred to as a two-dimensional (2D) FG/GPL plate. Two types of porosity and three graphene dispersion patterns, each of which is distributed through the plate thickness, are investigated. The mechanical properties of the closed-cell layers are used to define the variation of Poisson{\textquoteright}s ratio and the relationship between the porosity coefficients and the mass density. For the GPL reinforced layer, the effective Young{\textquoteright}s modulus is derivedwith the Halpin-Tsai micro-system model, and the rule of mixtures is used to calculate the effective mass density and Poisson{\textquoteright}s ratio. The material of the upper 2D-FG layer is graded in two directions, and its effective mechanical properties are also derived with the rule of mixtures. The dynamic governing equations are derived with a first-order shear deformation theory (FSDT) and the von K´arm´an nonlinear theory. A combination of the dynamic relaxation (DR) and Newmark{\textquoteright}s direct integration methods is used to solve the governing equations in both time and space. A parametric study is carried out to explore the effects of the porosity coefficients, porosity and GPL distributions, materialgradients, damping ratios, boundary conditions, and elastic foundation stiffnesses on the plate response. It is shown that both the distributions of the porosity and graphene nanofillers significantly affect the dynamic behaviors of the plates. It is also shown that the reduction in the dynamic deflection of the bilayer composite plates is maximized when the porosity and GPL distributions are symmetric.",
keywords = "moving laminated plate, bidirectional functionally graded material (FGM), graphene nanoplatelet, porosity, first-order shear deformation theory (FSDT), Newmark{\textquoteright}s integration method",
author = "M. Esmaeilzadeh and Mehran Kadkhodayan and S. Mohammadi and Geoffrey Turvey",
note = "The final publication is available at Springer via http://dx.doi.org/10.1007/s10483-020-2587-8 ",
year = "2020",
month = mar,
day = "31",
doi = "10.1007/s10483-020-2587-8",
language = "English",
volume = "41",
pages = "439--458",
journal = "Applied Mathematics and Mechanics",
issn = "0253-4827",
publisher = "Springer China",

}

RIS

TY - JOUR

T1 - Nonlinear dynamic analysis of moving bilayer plates resting on elastic foundations

AU - Esmaeilzadeh, M.

AU - Kadkhodayan, Mehran

AU - Mohammadi, S.

AU - Turvey, Geoffrey

N1 - The final publication is available at Springer via http://dx.doi.org/10.1007/s10483-020-2587-8

PY - 2020/3/31

Y1 - 2020/3/31

N2 - The aim of this study is to investigate the dynamic response of axially movingtwo-layer laminated plates on the Winkler and Pasternak foundations. The upper and lower layers are formed from a bidirectional functionally graded (FG) layer and a graphene platelet (GPL) reinforced porous layer, respectively. Henceforth, the combined layers will be referred to as a two-dimensional (2D) FG/GPL plate. Two types of porosity and three graphene dispersion patterns, each of which is distributed through the plate thickness, are investigated. The mechanical properties of the closed-cell layers are used to define the variation of Poisson’s ratio and the relationship between the porosity coefficients and the mass density. For the GPL reinforced layer, the effective Young’s modulus is derivedwith the Halpin-Tsai micro-system model, and the rule of mixtures is used to calculate the effective mass density and Poisson’s ratio. The material of the upper 2D-FG layer is graded in two directions, and its effective mechanical properties are also derived with the rule of mixtures. The dynamic governing equations are derived with a first-order shear deformation theory (FSDT) and the von K´arm´an nonlinear theory. A combination of the dynamic relaxation (DR) and Newmark’s direct integration methods is used to solve the governing equations in both time and space. A parametric study is carried out to explore the effects of the porosity coefficients, porosity and GPL distributions, materialgradients, damping ratios, boundary conditions, and elastic foundation stiffnesses on the plate response. It is shown that both the distributions of the porosity and graphene nanofillers significantly affect the dynamic behaviors of the plates. It is also shown that the reduction in the dynamic deflection of the bilayer composite plates is maximized when the porosity and GPL distributions are symmetric.

AB - The aim of this study is to investigate the dynamic response of axially movingtwo-layer laminated plates on the Winkler and Pasternak foundations. The upper and lower layers are formed from a bidirectional functionally graded (FG) layer and a graphene platelet (GPL) reinforced porous layer, respectively. Henceforth, the combined layers will be referred to as a two-dimensional (2D) FG/GPL plate. Two types of porosity and three graphene dispersion patterns, each of which is distributed through the plate thickness, are investigated. The mechanical properties of the closed-cell layers are used to define the variation of Poisson’s ratio and the relationship between the porosity coefficients and the mass density. For the GPL reinforced layer, the effective Young’s modulus is derivedwith the Halpin-Tsai micro-system model, and the rule of mixtures is used to calculate the effective mass density and Poisson’s ratio. The material of the upper 2D-FG layer is graded in two directions, and its effective mechanical properties are also derived with the rule of mixtures. The dynamic governing equations are derived with a first-order shear deformation theory (FSDT) and the von K´arm´an nonlinear theory. A combination of the dynamic relaxation (DR) and Newmark’s direct integration methods is used to solve the governing equations in both time and space. A parametric study is carried out to explore the effects of the porosity coefficients, porosity and GPL distributions, materialgradients, damping ratios, boundary conditions, and elastic foundation stiffnesses on the plate response. It is shown that both the distributions of the porosity and graphene nanofillers significantly affect the dynamic behaviors of the plates. It is also shown that the reduction in the dynamic deflection of the bilayer composite plates is maximized when the porosity and GPL distributions are symmetric.

KW - moving laminated plate

KW - bidirectional functionally graded material (FGM)

KW - graphene nanoplatelet

KW - porosity

KW - first-order shear deformation theory (FSDT)

KW - Newmark’s integration method

U2 - 10.1007/s10483-020-2587-8

DO - 10.1007/s10483-020-2587-8

M3 - Journal article

VL - 41

SP - 439

EP - 458

JO - Applied Mathematics and Mechanics

JF - Applied Mathematics and Mechanics

SN - 0253-4827

ER -