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Discontinuity, Nonlinearity, and Complexity 9(4) (2020) 619--646 | DOI:10.5890/DNC.2020.12.014

Sayyid H. Hashemi Kachapi

Department of Mechanical Engineering, Babol Noshirvani University of Technology, P.O.Box484, Shariati Street, Babol, Mazandaran 47148-71167, Iran

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Abstract

In current study, vibration and stability analysis comparison of two nanostructures i.e. nanoshell (NS) and piezoelectric nanoshell (PENS) subjected to electrostatic excitation and Visco-Pasternak medium is investigated using the Gurtin--Murdoch surface/interface (S/I) theory. For this analysis, Hamilton's principles, the assumed mode method combined with Lagrange--Euler's and also Complex averaging method combined with Arc-length continuation are used. It can be seen that by changing the surface/interface densities and as a result, increasing or decreasing the system stiffness, the natural frequency can be less or greater than the state without taking into account the S/I effects. In both nanostructures (NS and PENS), considering the surface/interface effects increase the nonlinear behaviour compared with without S/I effects.

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