考虑横向剪切变形碳纳米管增强截锥壳非线性受迫振动OA

[Purposes]This paper investigated the effect of boundary conditions,transverse shear deformation,distribution of carbon nanotubes,structural dimensions,and other parameters on the amplitude-frequency response curve of functionally graded carbon nanotube-reinforced composite(FG-CNTRC)truncated conical shells.[Methods]Firstly,based on the first-order shear deformation theory and von Kármán geometric nonlinearity theory,the Reissner variational principle was used to derive the nonlinear motion equilibrium equation of the truncated conical shell.Then,the Galerkin separation method of variables was used to obtain the nonlinear ordinary differential equations of the FG-CNTRC truncated conical shell.Finally,the multi-scale method was used to solve them.[Results]The numerical results indicate that under the optimal gradient distribution of carbon nanotubes,the peak of the amplitude-frequency response curve of the FG-CNTRC truncated conical shell can be reduced by up to approximately 16.1％compared with the worst gradient distribution.By increasing the volume fraction of carbon nanotubes,reducing the half vertex angle,and decreasing the length-to-thickness ratio,the maximum amplitude of the amplitude-frequency response curve can be reduced by up to 27.9％,26.7％,and 60.1％,respectively.Moreover,when the length-to-thickness ratio of the truncated conical shell becomes larger,the effect of transverse shear deformation on the amplitude-frequency response curve of the primary resonance of the FG-CNTRC truncated conical shell can be ignored.[Conclusions]Choosing appropriate boundary conditions,volume fraction and distribution of carbon nanotubes,structural dimensions,and other parameters can effectively improve the stability of the FG-CNTRC truncated conical shells.In the case of medium thick shells,the calculation of the amplitude-frequency response curve of the primary resonance of the FG-CNTRC truncated conical shell needs to consider the influence of transverse shear deformation effects.