Vol. 15, No. 4, 2020

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Wave propagation in three-dimensional graphene aerogel cylindrical shells resting on Winkler–Pasternak elastic foundation

Chen Liang and Yan Qing Wang

Vol. 15 (2020), No. 4, 435–455
Abstract

The objective of this work is to investigate the wave propagation characteristics of circular cylindrical shells made of three-dimensional graphene aerogel (3D-GA). Different distributions of 3D-GA inside the shells are taken into account. The first-order shear deformation (FSD) shell theory is utilized to model the present shells. Hamilton’s principle is employed to drive the equations of motion, which governs the wave propagation behavior of 3D-GA cylindrical shells. The analytical wave dispersion relations with longitudinal and circumferential wave numbers are obtained. In addition, detailed parametric studies are conducted to emphasize the influences of the porosity distribution, the porosity coefficient, the radius-to-thickness ratio, the applied forces and the elastic foundation on wave propagation characteristics of 3D-GA cylindrical shells.

Keywords
three-dimensional graphene aerogel, cylindrical shell, wave propagation, Winkler–Pasternak elastic foundation, first-order shear deformation theory
Milestones
Received: 24 June 2019
Revised: 14 May 2020
Accepted: 30 May 2020
Published: 10 August 2020
Authors
Chen Liang
Department of Mechanics
Northeastern University
Shenyang 110819
China
Yan Qing Wang
Department of Mechanics
Northeastern University
Shenyang 110819
China
Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines
Northeastern University
Shenyang 110819
China