Hygro-thermo-mechanical bending and vibration analysis of the CNTRC doubly curved nanoshells with thickness stretching based on nonlocal strain gradient theory
Suzhou Zhongheng Tong Road and Bridge Co. Ltd., 215124, Suzhou, China
2 Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran
Accepted: 4 March 2021
Published online: 19 March 2021
In the present study, the bending and free vibration analysis of the CNTRC doubly curved nanoshells subjected to hygro-thermo-mechanical loading using higher-order shear and normal deformation theory is investigated. Thickness stretching impact is considered based on higher-order shear and normal deformation theory. The transverse displacement is divided into bending and shear ingredients based on sinusoidal shear deformation theory. To consider the nonlocality, nonlocal strain gradient shell theory is applied. All of the effective material properties of the shell are considered as temperature dependent. The temperature variation and moisture expansion vary through the thickness of the shell nonlinearly. The impacts of the five different kinds of distributions of CNTRC including UD, FGV, FGX, FGA and FGO are studied on the bending and natural frequency of the nanoshell. To obtain the equations of motion, Hamilton’s principle is applied, where Navier’s method is utilized to derive the mechanical responses of the nanoshell with simply supported boundary conditions. The calculated result illustrates that the length scale parameter has remarkable impact on the deflection and natural frequency of the CNTRC doubly curved nanoshells.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021. corrected publication 2021