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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 |
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Vol. 15 (2020), No. 4, 435–455
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Abstract |
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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
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Milestones
Received: 24 June 2019
Revised: 14 May 2020
Accepted: 30 May 2020
Published: 10 August 2020
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Authors |
| Chen Liang | |
| Department of Mechanics Northeastern University Shenyang 110819 China |
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| 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 |
