Nonlinear Free Vibration of Rotating FG-CNTRC Beams with Geometric Imperfections
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.
vibration and waverotating beamFG-CNRCgeometric imperfectionvariational iteration methodnon-linear frequency
万方数据
维普
