Quantum mechanics

Deformation (meteorology)

Linguistics

Composite number

Engineering

Philosophy

Natural frequency

Buckling

Materials science

Stress (linguistics)

Boundary value problem

Vibration

Acoustics

Stress–strain curve

Strain (injury)

Physics

Mathematics

Internal medicine

Mathematical analysis

Nanoshell

Length scale

Composite material

Plasmon

Structural engineering

Medicine

Mechanics

Optoelectronics

Engineering With Computers

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.

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