Steel and Composite Structures

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Free vibration analysis of functionally graded cylindrical nanoshells resting on Pasternak foundation based on two-dimensional analysis

  • Received : 2019.11.11
  • Accepted : 2020.02.06
  • Published : 2020.02.25
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Abstract

In this paper, free vibration analysis of a functionally graded cylindrical nanoshell resting on Pasternak foundation is presented based on the nonlocal elasticity theory. A two-dimensional formulation along the axial and radial directions is presented based on the first-order shear deformation shell theory. Hamilton's principle is employed for derivation of the governing equations of motion. The solution to formulated boundary value problem is obtained based on a harmonic solution and trigonometric functions for various boundary conditions. The numerical results show influence of significant parameters such as small scale parameter, stiffness of Pasternak foundation, mode number, various boundary conditions, and selected dimensionless geometric parameters on natural frequencies of nanoshell.

Keywords

Acknowledgement

This work was financially supported by the University of Kashan (Grant Number: 574613/026). The first author would like to thank the Iranian Nanotechnology Development Committee for their financial support. The part of research of the second author was conducted within S/WM/4/2017 project and was financed by the funds of the Ministry of Science and Higher Education, Poland.

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