Size dependent free vibration analysis of functionally graded piezoelectric micro/nano shell based on modified couple stress theory with considering thickness stretching effect

Higher-order shear and normal deformation theory is used in this paper to account thickness stretching effect for free vibration analysis of the cylindrical micro/nano shell subjected to an applied voltage and uniform temperature rising. Size dependency is included in governing equations based on the modified couple stress theory. Hamilton's principle is used to derive governing equations of the cylindrical micro/nano shell. Solution procedure is developed using Navier technique for simply-supported boundary conditions. The numerical results are presented to investigate the effect of significant parameters such as some dimensionless geometric parameters, material properties, applied voltages and temperature rising on the free vibration responses. (C) 2020 The Authors. Production and hosting by Elsevier B.V. on behalf of China Ordnance Society.

Automated summary

This paper employs higher-order shear and normal deformation theory to analyze the free vibration of cylindrical micro/nano shells, taking into account thickness stretching effect and size dependency. Numerical results are used to investigate the impact of geometric parameters, material properties, applied voltages, and temperature rising on the free vibration responses.