THE USE OF FROBENIUS POWER-SERIES IN WAVE-PROPAGATION ANALYSIS OF ORTHOTROPIC SHELLS

The elasticity equations for harmonic wave motion in thick cylindrical shells with transversal isotropy are analysed. Under the assumption t hat the wave motion is harmonic both along the length and around the c ircumference of the cylinder, exact solutions for the displacement var iation through the shell thickness have been found in the form of Frob enius Power Series (FPS). The effectivness of the method has been prov ed to be dependent upon the number of FPS terms employed. This is illu strated on dispersion curves of axisymmetric stress waves (i.e. when t he number of circumferential waves, n = 0).