Effects of elastic foundation on the large-amplitude vibration analysis of functionally graded GPL-RC annular sector plates

被引:21
作者
Ashraf, Muhammad Ageel [1 ,2 ]
Liu, Zhenling [3 ]
Zhang, Dangquan [1 ]
Binh Thai Pham [4 ]
机构
[1] Henan Agr Univ, Sch Forestry, Zhengzhou 450002, Peoples R China
[2] Univ Malaya, Fac Sci, Dept Geol, Kuala Lumpur 50603, Malaysia
[3] Henan Univ Technol, Sch Management, Zhengzhou 450001, Peoples R China
[4] Duy Tan Univ, Inst Res & Dev, Da Nang 550000, Vietnam
关键词
Functionally graded GPL-RC; Annular sector plate; Nonlinear free vibration; GDQ method; REINFORCED COMPOSITE PLATES; NONLINEAR FREE-VIBRATION; LAMINATED PLATES; CONICAL SHELLS;
D O I
10.1007/s00366-020-01068-x
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The main purpose of this research is to investigate the impacts of the two-parameter elastic medium on the geometrically nonlinear free vibration of nanocomposite annular sector plates reinforced with graphene platelets. The modified Halpin-Tsai micromechanical model is implemented to determine the overall mechanical properties. With the aid of Hamilton's principle and in according the first-order shear deformation plate theory in conjunction with geometric nonlinearity effects, the nonlinear sets of motion equations are derived for functionally graded nanocomposite annular sector plates. The 2D generalized differential quadrature GDQ method, the harmonic balance method and Newton-Raphson iteration technique are utilized to numerically solve the problem and obtain the nonlinear vibration response. Multiple comparative investigations are provided to express the efficiency of the model. The impacts of involved geometrical and material factors are also examined on the nonlinear vibration behavior of functionally graded nanocomposite annular sector plates.
引用
收藏
页码:325 / 345
页数:21
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