Vibration response of a functionally graded graphene nanoplatelet reinforced composite beam under two successive moving masses

2019 ◽  
Vol 209 ◽  
pp. 928-939 ◽  
Author(s):  
Yuewu Wang ◽  
Ke Xie ◽  
Tairan Fu ◽  
Congling Shi
Keyword(s):  
Composite Beam ◽  
Functionally Graded ◽  
Vibration Response ◽  
Graphene Nanoplatelet ◽  
Reinforced Composite

Nonlinear dynamics of functionally graded graphene nanoplatelet reinforced polymer doubly-curved shallow shells resting on elastic foundation using a micromechanical model

2020 ◽  
pp. 109963622092665 ◽  
Author(s):  
Vu Ngoc Viet Hoang ◽  
Nguyen Duc Tien ◽  
Dinh Gia Ninh ◽  
Vu Toan Thang ◽  
Do Van Truong
Keyword(s):  
Nonlinear Vibration ◽  
Mathematical Formulation ◽  
Micromechanical Model ◽  
Graphene Nanoplatelets ◽  
Functionally Graded ◽  
Amplitude Curve ◽  
Graphene Nanoplatelet ◽  
Shallow Shells ◽  
Reinforced Composite ◽  
Doubly Curved

The paper focuses on the nonlinear vibration of functionally graded graphene nanoplatelet reinforced composite doubly curved shallow shells resting on elastic foundations. The graphene nanoplatelet reinforced composites are assumed to be distributed uniformly and functionally graded through the thickness. The material properties are assumed to be temperature-dependent and are estimated through the Halpin–Tsai micromechanical model, while the Poisson’s ratio, density mass, and thermal expansion are implemented by the rule of mixtures. The mathematical formulation is developed based on the classical shell theory and Von Karman-Donnell geometrical nonlinearity assumption. The dynamical responses of a simply supported functionally graded-graphene nanoplatelet reinforced composite doubly curved shallow shells are obtained by employing the Airy’s stress function and the Galerkin’s method. The responses of nonlinear vibration as time history, frequency-amplitude curve, phase plane graphs, and Poincare maps are carried out in this paper. In addition, the effects of the environment, graphene nanoplatelets weight fraction, graphene nanoplatelets distribution patterns, and thickness-to-length ratio are scrutinized. The obtained results are also compared and validated with those of other studies.

scholarly journals Multiple Equilibria and Buckling of Functionally Graded Graphene Nanoplatelet-Reinforced Composite Arches with Pinned-Fixed End

Crystals ◽  
2020 ◽  
Vol 10 (11) ◽  
pp. 1003
Author(s):  
Zhicheng Yang ◽  
Jiamian Xu ◽  
Hanwen Lu ◽  
Jiangen Lv ◽  
Airong Liu ◽  
...  
Keyword(s):  
Multiple Equilibria ◽  
Virtual Work ◽  
Weight Fraction ◽  
Point Load ◽  
Functionally Graded ◽  
Buckling Load ◽  
Equilibrium Path ◽  
Graphene Nanoplatelet ◽  
Reinforced Composite ◽  
Non Linear

This paper presents an analytical study on the multiple equilibria and buckling of pinned-fixed functionally graded graphene nanoplatelet-reinforced composite (FG-GPLRC) arches under central point load. It is assumed that graphene nanoplatelets (GPLs) in each GPLRC layer are uniformly distributed and randomly oriented with its concentration varying layer-wise along the thickness direction. The Halpin–Tsai micromechanics-based model is used to estimate the effective elastic modulus of GPLRC. The non-linear equilibrium path and buckling load of the pinned-fixed FG-GPLRC arch are subsequently derived by employing the principle of virtual work. The effects of GPLs distribution, weight fraction, size and geometry on the buckling load are examined comprehensively. It is found that the buckling performances of FG-GPLRC arches can be significantly improved by using GPLs as reinforcing nanofillers. It is also found that the non-linear equilibrium path of the pinned-fixed FG-GPLRC arch have multiple limit points and non-linear equilibrium branches when the arch is with a special geometric parameter.

scholarly journals A New Analytical Approach for Nonlinear Global Buckling of Spiral Corrugated FG-CNTRC Cylindrical Shells Subjected to Radial Loads

2020 ◽  
Vol 10 (7) ◽  
pp. 2600
Author(s):  
Tho Hung Vu ◽  
Hoai Nam Vu ◽  
Thuy Dong Dang ◽  
Ngoc Ly Le ◽  
Thi Thanh Xuan Nguyen ◽  
...  
Keyword(s):  
Analytical Approach ◽  
Cylindrical Shells ◽  
Equation System ◽  
Functionally Graded ◽  
Governing Equations ◽  
Reinforced Composite ◽  
Global Buckling ◽  
Homogenization Model ◽  
Corrugated Structure ◽  
The Galerkin Method

The present paper deals with a new analytical approach of nonlinear global buckling of spiral corrugated functionally graded carbon nanotube reinforced composite (FG-CNTRC) cylindrical shells subjected to radial loads. The equilibrium equation system is formulated by using the Donnell shell theory with the von Karman’s nonlinearity and an improved homogenization model for spiral corrugated structure. The obtained governing equations can be used to research the nonlinear postbuckling of mentioned above structures. By using the Galerkin method and a three term solution of deflection, an approximated analytical solution for the nonlinear stability problem of cylindrical shells is performed. The linear critical buckling loads and postbuckling strength of shells under radial loads are numerically investigated. Effectiveness of spiral corrugation in enhancing the global stability of spiral corrugated FG-CNTRC cylindrical shells is investigated.

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