Thermo-Mechanical Vibration of Size Dependent Shear Deformable Functionally Graded Conical Nanoshell Resting On Elastic Foundation

Year 2016, Volume: 8 Issue: 2, 68 - 86, 19.08.2016

Fahimeh Mehralian Yaghoub Beni

https://doi.org/10.24107/ijeas.252146

https://izlik.org/JA87HG99KM

Abstract

In this paper, the size-dependent shear deformable conical shell formulation is derived based on the modified couple
stress theory and first order shear deformation model to investigate the free vibration of functionally graded conical shell
embedded in an elastic Pasternak medium and subjected to thermal environment. The material properties are considered
temperature-dependent and graded in thickness direction according to power law distribution. The governing equations
and boundary conditions are derived using Hamilton’s principle. The size effect is taken into account using the modified
couple stress theory, and, the free vibration of simply supported FG truncated conical nanoshell is investigated as a
special case. The effects of different parameters such as dimensionless length scale parameter, temperature change and
distribution of the nanoshell components on the natural frequency are investigated based on the modified couple stress
theory and classical continuum theory.  

Keywords

Thermo-mechanical vibration , First order shear deformation theor , FG conical shell , modified couple stress theory