Size-dependent analysis of the spherical nanoshells subjected to a moving harmonic load in hygro-thermo environment

Abstract

In the current research, the dynamic behavior of the spherical nanoshell subjected to a moving harmonic load in hygro-thermo environment is examined for the first time. A size-dependent nonlocal shell theory is dedicated to ponder the nonlocality. The first-order shear deformation theory is dedicated to inquire the shear impacts along with the thickness of the shell. To ponder the effects of the thermal and moisture conditions on the dynamic responses of the nanoshell, we apply the nonlinear relations for temperature and moisture fields. In the current study, it is assumed that the nanoshell is subjected to a moving harmonic load which moves the upper surface of the nanoshell with a certain velocity along the path $x_2=\frac{b}{2}$. Hamilton’s axiom is dedicated to achieve the governing equations of motion. Then, the Navier solution technique is dedicated to derive the dynamic responses of the nanoshell with simply-supported boundary conditions. The impacts of several parameters are examined on the dynamic behavior of the nanoshell.

KEYWORDS:

• Spherical nanoshells
• nonlocal elasticity theory
• moving harmonic load
• Navier method
• hygro-thermo environment

Acknowledgements

This work was supported by Shanxi Agricultural University 211 Provincial Reform High-Level Talent Introduction Project (2021XG009).

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by Shanxi Agricultural University 211 Provincial Reform High-Level Talent Introduction Project (2021XG009).