Abstract: | A method is proposed for constructing equilibrium equations for thickness-polarized transversally isotropic piezoceramic shells.
The method is based on Fourier expanding the required functions in Legendre polynomials. The appropriate system of differential
equations is formed for the expansion coefficients as functions of two independent variables. The equilibrium equations are
given in particular for transversally isotropic spherical shells. A method is given for constructing the general solution
in the first approximation.
S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine. Translated from Prikladnaya
Mekhanika, Vol. 35, No. 7, pp. 59–68, July, 1999. |