Wave propagation and free vibration of FG graphene platelets sandwich curved beam with auxetic core resting on viscoelastic foundation via DQM

Al Mukahal, F. H. H.; Sobhy, Mohammed

doi:10.1007/s43452-021-00322-3

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Tytuł artykułu

Wave propagation and free vibration of FG graphene platelets sandwich curved beam with auxetic core resting on viscoelastic foundation via DQM

Autorzy

Al Mukahal F. H. H. , Sobhy Mohammed

Wybrane pełne teksty z tego czasopisma

http://www.springer.com/journal/43452

Identyfikatory

DOI

10.1007/s43452-021-00322-3

Warianty tytułu

Języki publikacji

Abstrakty

A novel shear and normal deformations theory is presented in this article to illustrate the wave propagation and free vibration of three-layer sandwich curved beams subjected to elevated temperature and moisture environments and resting on viscoelastic foundation. The upper and lower layers are made of metal matrix reinforced with functionally graded (FG) graphene platelets (GPLs). While, the core layer is made of auxetic honeycomb structures. For the layers to be more bonded, the matrix of the face layers and the auxetic layer are both made of aluminum material. The volume fraction of GPLs is varied through the thickness of the face layers according to a layer-wise rule. The modified Halpin–Tsai model is used to describe the effective material properties of the face layers. Four types of GPLs distribution are considered in the present analysis. The differential quadrature method (DQM) is employed to discretize the equations of motion and then converted to a system of algebraic equations. This system can be solved to obtain the natural frequencies of the sandwich curved beams. Whereas, the wave dispersion relations are determined by solving the motion equations analytically. Convergence and comparison examples are presented to adjust and validate the present solution. In addition, comprehensive parametric studies are performed to investigate the effects of the weight fraction of GPLs, temperature, moisture concentrations, core thickness, boundary conditions, and viscoelastic foundation stiffness on the natural frequency, wave frequency and phase velocity of the honeycomb sandwich curved beams.

Słowa kluczowe

differential quadrature method auxetic core hygrothermal conditions GPLs reinforced curved beam wave propagation free vibration

właściwości higrotermiczne propagacja fal wibracje swobodne

Wydawca

Springer
Wrocław University of Science and Technology

Czasopismo

Archives of Civil and Mechanical Engineering

Rocznik

2022

Tom

Vol. 22, no. 1

Strony

art. no. e12, 2022

Opis fizyczny

Bibliogr. 64 poz., rys., tab., wykr.

Twórcy

autor

Al Mukahal F. H. H.

falmukahal@kfu.edu.sa

Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia

autor

Sobhy Mohammed

msobhy@kfu.edu.sa

Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia
Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egyp

https://orcid.org/0000-0002-5999-2169

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)

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Bibliografia

Identyfikator YADDA

bwmeta1.element.baztech-03975294-5e1a-43b7-9f95-4dea207caf1b