On the dynamics of porous doubly-curved nanoshells

This work deals with free vibration analysis of doubly-curved nanoshells in which the material properties are temperature and porosity dependent, and varying along the thickness direction. The size-dependent effects of nanostructure systems are captured using the nonlocal strain gradient theory. A modified power law rule and the Hamiltonian principle are adopted, respectively, to obtain the material properties and governing equations of motion. An analytical technique based on Navier series is utilized to solve the eigenvalue problem and satisfied the boundary condition for simply-supported edges. The numerical results show that the vibration characteristics of the nanoshells are influenced by small scale parameters, geometry conditions, material compositions, porosities and thermal environment. Presented numerical results can serve as benchmarks for future analyses of doubly-curved nanoshells with porosity phases. (C) 2019 Elsevier Ltd. All rights reserved.