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Structural Engineering and Mechanics Volume 71, Number 1, July10 2019 , pages 099-107 DOI: https://doi.org/10.12989/sem.2019.71.1.099 |
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Wave dispersion characteristics of porous graphene platelet-reinforced composite shells |
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Farzad Ebrahimi, Ali Seyfi, Ali Dabbagh and Francesco Tornabene
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| Abstract | ||
| Wave propagation analysis of a porous graphene platelet reinforced (GPLR) nanocomposite shell is investigated for the first time. The homogenization of the utilized material is procured by extending the Halpin-Tsai relations for the porous nanocomposite. Both symmetric and asymmetric porosity distributions are regarded in this analysis. The equations of the shell\'s motion are derived according to Hamilton\'s principle coupled with the kinematic relations of the first-order shear deformation theory of the shells. The obtained governing equations are considered to be solved via an analytical solution which includes two longitudinal and circumferential wave numbers. The accuracy of the presented formulations is examined by comparing the results of this method with those reported by former authors. The simulations reveal a stiffness decrease in the cases which porosity influences are regarded. Also, one must pay attention to the effects of longitudinal wave number on the wave dispersion curves of the nanocomposite structure. | ||
| Key Words | ||
| wave propagation; porous nanocomposite; graphene platelet (GPL); first-order shear deformation shell theory | ||
| Address | ||
| Farzad Ebrahimi, Ali Seyfi:Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran Ali Dabbagh: School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran Francesco Tornabene: Department of Civil, Chemical, Environmental, and Materials Engineering, University of Bologna, Bologna, Italy | ||