Vol.21, No.1, 2021, pp. 53–58
UDC:

STRESS CONCENTRATION STATE OF PIEZOELECTRICITY IN CYLINDRICAL SHELL BASED ON THE NON-CLASSICAL THEORY

Le Hung Nguyen1,2, Valery V. Firsanov1

1) Moscow Aviation Institute, National Research University, RUSSIAN FEDERATION

2) Faculty of Aerospace Engineering, Le Quy Don Technical University, Hanoi City, VIETNAM REPUBLIC

email: lehung.mai.906@gmail.com

 

Abstract

This paper presents the stress concentration at the ends of piezoelectricity cylindrical shell. The shell is subjected to electric potential and mechanical loading applied in the top and bottom surfaces. The mathematical model of electroelasticity behaviour is based on the non-classical theory and Lagrange's principle. The governing differential equations are reduced to ordinary differential equations by means of trigonometric function expansion for displacement and electric potential. Electromechanical state of the smart cylindrical shell for axisymmetric loads with clamped support is provided. Numerical results are presented showing the effect of boundary layer on local stress concentration at clamped edges. Comparison between the obtained numerical results to classical theory of the Kirchhoff-Love type is accurate.

Keywords: non-classical theory, piezoelectric, cylindrical shell, electroelasticity, boundary layer

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