Damped vibration of a graphene sheet using a higher-order nonlocal strain-gradient Kirchhoff plate model

Davood Shahsavari; Behrouz Karami; Li Li

doi:10.1016/j.crme.2018.08.011

Damped vibration of a graphene sheet using a higher-order nonlocal strain-gradient Kirchhoff plate model

Davood Shahsavari ¹ ; Behrouz Karami ¹ ; Li Li ²

¹ Department of Mechanical Engineering, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran
² State Key Lab of Digital Manufacturing Equipment and Technology, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

Comptes Rendus. Mécanique, Volume 346 (2018) no. 12, pp. 1216-1232.

Résumé

A higher-order nonlocal strain-gradient model is presented for the damped vibration analysis of single-layer graphene sheets (SLGSs) in hygrothermal environment. Based on Kirchhoff plate theory in conjunction with a higher-order (bi-Helmholtz) nonlocal strain gradient theory, the equations of motion are obtained using Hamilton's principle. The higher-order nonlocal strain gradient theory has lower- and higher-order nonlocal parameters and a material characteristic parameter. The presented model can reasonably interpret the softening effects of the SLGS, and indicates a reasonably good match with the experimental flexural frequencies. Finally, the roles of viscous and structural damping coefficients, small-scale parameters, hygrothermal environment and elastic foundation on the vibrational responses of SLGSs are studied in detail.

Reçu le : 2018-05-22
Accepté le : 2018-08-24
Publié le : 2018-09-05

DOI : 10.1016/j.crme.2018.08.011

Keywords: Damped vibration, Bi-Helmholtz nonlocal strain gradient theory, Environmental effects, Graphene, Visco-Pasternak foundation

Affiliations des auteurs :

Davood Shahsavari ¹ ; Behrouz Karami ¹ ; Li Li ²

¹ Department of Mechanical Engineering, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran
² State Key Lab of Digital Manufacturing Equipment and Technology, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

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Davood Shahsavari; Behrouz Karami; Li Li. Damped vibration of a graphene sheet using a higher-order nonlocal strain-gradient Kirchhoff plate model. Comptes Rendus. Mécanique, Volume 346 (2018) no. 12, pp. 1216-1232. doi : 10.1016/j.crme.2018.08.011. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2018.08.011/

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Behrouz Karami; Maziar Janghorban; Abdelouahed Tounsi On pre-stressed functionally graded anisotropic nanoshell in magnetic field, Journal of the Brazilian Society of Mechanical Sciences and Engineering, Volume 41 (2019) no. 11 | DOI:10.1007/s40430-019-1996-0
Mostafa Esmaeilzadeh; Mehran Kadkhodayan Numerical investigation into dynamic behaviors of axially moving functionally graded porous sandwich nanoplates reinforced with graphene platelets, Materials Research Express, Volume 6 (2019) no. 10, p. 1050b7 | DOI:10.1088/2053-1591/ab407b
Ali Zabihi; Reza Ansari; Jalal Torabi; Farzan Samadani; Kamyar Hosseini An analytical treatment for pull-in instability of circular nanoplates based on the nonlocal strain gradient theory with clamped boundary condition, Materials Research Express, Volume 6 (2019) no. 9, p. 0950b3 | DOI:10.1088/2053-1591/ab31bc
Balakrishna Adhikari; B. N. Singh Dynamic response of functionally graded plates resting on two-parameter-based elastic foundation model using a quasi-3D theory, Mechanics Based Design of Structures and Machines, Volume 47 (2019) no. 4, p. 399 | DOI:10.1080/15397734.2018.1555965
Behrouz Karami; Maziar Janghorban A new size-dependent shear deformation theory for free vibration analysis of functionally graded/anisotropic nanobeams, Thin-Walled Structures, Volume 143 (2019), p. 106227 | DOI:10.1016/j.tws.2019.106227
Behrouz Karami; Davood Shahsavari; Maziar Janghorban A comprehensive analytical study on functionally graded carbon nanotube-reinforced composite plates, Aerospace Science and Technology, Volume 82-83 (2018), p. 499 | DOI:10.1016/j.ast.2018.10.001
Behrouz Karami; Davood Shahsavari; Maziar Janghorban; Rossana Dimitri; Francesco Tornabene Wave Propagation of Porous Nanoshells, Nanomaterials, Volume 9 (2018) no. 1, p. 22 | DOI:10.3390/nano9010022

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