The nonlinear free vibration behaviors of rotating functionally graded carbon nanotube-reinforced composite (FG-CNRC) beams with geometric imperfections was investigated.Firstly,according to Euler-Bernoulli beam theory along with von-Kármán geometric nonlinearity assumption,the nonlinear partial differential governing equation was derived by means of Hamilton's principle.Then,the Galerkin method was applied to get the discrete ordinary equation.Next,the varia-tional iteration method was employed to get the analytical solution of the system nonlinear frequency.Finally,influence of FG-CNRC property,rotating speed,hub radius and geometric imperfection on the nonlinear frequency was discussed.
关键词
振动与波/旋转梁/功能梯度碳纳米管增强复合材料/几何缺陷/变分迭代法/非线性频率
Key words
vibration and wave/rotating beam/FG-CNRC/geometric imperfection/variational iteration method/non-linear frequency
维普
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