Nonlocal dynamic modeling of mass sensors consisting of graphene sheets based on strain gradient theory

Sadok Mehrez , Saeed Ali Karati , Parnia Taheri DolatAbadi , S.N.R. Shah , Sikander Azam , Majid Khorami , Hamid Assilzadeh

Abstract

The following composition establishes a nonlocal strain gradient plate model that is essentially related to mass sensors laying on Winkler-Pasternak medium for the vibrational analysis from graphene sheets. To achieve a seemingly accurate study of graphene sheets, the posited theorem actually accommodates two parameters of scale in relation to the gradient of the strain as well as non-local results. Model graphene sheets are known to have double variant shear deformation plate theory without factors from shear correction. By using the principle of Hamilton, to acquire the governing equations of a non-local strain gradient graphene layer on an elastic substrate, Galerkin's method is therefore used to explicate the equations that govern various partition conditions. The influence of diverse factors like the magnetic field as well as the elastic foundation on graphene sheet's vibration characteristics, the number of nanoparticles, nonlocal parameter, nanoparticle mass as well as the length scale parameter had been evaluated.

Key Words

vibration; mass sensor; refined plate theory; graphene sheets; nonlocal strain gradient

Address

(1) Sadok Mehrez — College of Engineering at Al Kharj, Prince Sattam bin Abdulaziz University, 11942, Saudi Arabia
(2) Saeed Ali Karati — Department of Civil Engineering, Faculty of Engineering, Universiti Malaysia, 50603, Kuala Lumpur, Malaysia
(3) Parnia Taheri DolatAbadi — Department of Mechanical, Industrial and Aerospace Engineering, Concordia University, Montreal, QC, H3G 1M8, Canada
(4) S.N.R. Shah — Department of Civil Engineering, Mehran University of Engineering and Technology, SZAB Campus, Pakistan
(5) Sikander Azam — Division of Computational Physics, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam
(6) Sikander Azam — Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
(7) Majid Khorami — Facultad de Arquitectura y Urbanismo, Universidad UTE, Quito, Ecuador
(8) Hamid Assilzadeh — Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam

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