TY - JOUR
T1 - Nonlinear vibration of metal foam cylindrical shells reinforced with graphene platelets
AU - Wang, Yan Qing
AU - Ye, Chao
AU - Zu, Jean W.
N1 - Publisher Copyright:
© 2018 Elsevier Masson SAS
PY - 2019/2
Y1 - 2019/2
N2 - This paper performs nonlinear vibration analysis of metal foam circular cylindrical shells reinforced with graphene platelets. An improved Donnell nonlinear shell theory is employed to formulate the present model. The graphene platelet reinforced material properties are evaluated by the Halpin–Tsai equation. Different types of porosity and graphene platelet (GPL) distribution are taken into account. Governing equations are derived via Hamilton's principle and then they are transformed to ordinary differential equations using the Galerkin method. Afterwards, nonlinear frequencies of the system are solved by using the multiple scale method. Our findings demonstrate that GPL reinforced metal foam (GPLRMF) shells exhibit hardening-spring vibration characteristics. The nonlinear to linear frequency ratio of the shell closely relates to the porosity distributions and GPL patterns. The effect of geometrical size of graphene platelets on nonlinear vibration characteristics of GPLRMF cylindrical shells is also highlighted.
AB - This paper performs nonlinear vibration analysis of metal foam circular cylindrical shells reinforced with graphene platelets. An improved Donnell nonlinear shell theory is employed to formulate the present model. The graphene platelet reinforced material properties are evaluated by the Halpin–Tsai equation. Different types of porosity and graphene platelet (GPL) distribution are taken into account. Governing equations are derived via Hamilton's principle and then they are transformed to ordinary differential equations using the Galerkin method. Afterwards, nonlinear frequencies of the system are solved by using the multiple scale method. Our findings demonstrate that GPL reinforced metal foam (GPLRMF) shells exhibit hardening-spring vibration characteristics. The nonlinear to linear frequency ratio of the shell closely relates to the porosity distributions and GPL patterns. The effect of geometrical size of graphene platelets on nonlinear vibration characteristics of GPLRMF cylindrical shells is also highlighted.
KW - Graphene platelets
KW - Improved Donnell nonlinear shell theory
KW - Metal foam cylindrical shell
KW - Method of multiple scales
KW - Nonlinear vibration
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U2 - 10.1016/j.ast.2018.12.022
DO - 10.1016/j.ast.2018.12.022
M3 - Article
AN - SCOPUS:85059178477
SN - 1270-9638
VL - 85
SP - 359
EP - 370
JO - Aerospace Science and Technology
JF - Aerospace Science and Technology
ER -