Application of nonlocal strain-stress gradient theory and GDQEM for thermo-vibration responses of a laminated composite nanoshell

In this article, thermal buckling and frequency analysis of a size-dependent laminated composite cylindrical nanoshell in thermal environment using nonlocal strain-stress gradient theory are presented. The thermodynamic equations of the laminated cylindrical nanoshell are based on first-order shear deformation theory, and generalized differential quadrature element method is implemented to solve these equations and obtain natural frequency and critical temperature of the presented model. The results show that by considering C-F boundary conditions and every even layers' number, in lower value of length scale parameter, by increasing the length scale parameter, the frequency of the structure decreases but in higher value of length scale parameter this matter is inverse. Finally, influences of temperature difference, ply angle, length scale and nonlocal parameters on the critical temperature and frequency of the laminated composite nanostructure are investigated.

Automated summary

In this study, thermal buckling and frequency analysis of a size-dependent laminated composite cylindrical nanoshell in thermal environment were investigated using nonlocal strain-stress gradient theory. The thermodynamic equations were established based on first-order shear deformation theory, and the generalized differential quadrature element method was used to obtain natural frequency and critical temperature of the model. Results showed that the frequency of the structure decreases with increasing length scale parameter at lower values, but increases at higher values, and the influences of temperature difference, ply angle, length scale, and nonlocal parameters on the structure were also analyzed.