Nonlinear electromechanical dynamics of piezoelectric doubly-curved microsystem using modified strain gradient theory

This paper is devoted to investigate the nonlinear free vibrations of multi-phase piezoelectric doubly-curved microshells in the context of modified strain gradient elastic (MSGT). The microshell has been made from two constituents for which different compositions have been considered by defining a piezoelectric phase percentage. The microscale effects have been described with the incorporation of three scale coefficients involved in MSGT. With the use of suitable Fourier series and the concept of Galerkin's method, the solution for the governing equations of double-curvature microshell have been provided. The calculated frequencies are dependent on the piezoelectric phase percentage, scale coefficients, curvature radius and applied electric voltage.