Nonlinear vibration of multilayer shell-type structural elements with double curvature consisting of CNT patterned layers within different theories

被引:41
作者
Avey, M. [1 ]
Fantuzzi, N. [2 ]
Sofiyev, A. H. [3 ]
Kuruoglu, N. [4 ]
机构
[1] Usak Univ, Div Math, Grad Sch Nat & Appl Sci, TR-64000 Usak, Turkey
[2] Univ Bologna, Dept Civil Chem Environm & Mat Engn, Bologna, Italy
[3] Demirel Univ, Dept Civil Engn Engn, Fac Suleyman, Isparta, Turkey
[4] Istanbul Gelisim Univ, Dept Civil Engn, Fac Engn & Architecture, Istanbul, Turkey
关键词
CNT; Multilayer nanocomposites; Shell-type structural elements with double; curvature; Different shell theories; Nonlinear frequency; Finite deflection; SHEAR DEFORMATION-THEORY; CYLINDRICAL-SHELLS; CARBON NANOTUBES; COMPOSITE;
D O I
10.1016/j.compstruct.2021.114401
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this article, the nonlinear vibration of moderately thick multilayer shell-type structural elements with double curvature consisting of carbon nanotube (CNT) patterned layers is investigated within different shell theories. The first order shear deformation theory has been generalized on the motion for moderately thick multilayer shell-type structural elements with double curvature consisting of CNT patterned layers for the first time. Then, by applying Galerkin and semi-inverse perturbation methods to motion equations, and the frequencyamplitude relationship is obtained. From these formulas, the expressions for nonlinear frequencies of multilayer spherical and hyperbolic-paraboloid shells, rectangular plate and cylindrical panels patterned by CNTs within shear deformation and classical shell theories are obtained in special cases. The reliability of obtained results is verified by comparison with other results reported in the literature. The effects of transverse shear strains, volume fraction, sequence and number of nanocomposite layers on nonlinear frequency are discussed in detail.
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页数:13
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