“…Today are widely used multilayer composite shells of revolution with reinforcements in spiral under angle α to the generatrix. Generally, such shells are locally orthotropic, however their main anisotropy axes x',', r in this case no coincide with axes of global system of cylindrical coordinates x,, r. Many works are carried out on such structure behavior in static regime (Li, 2007;Arashmehr et al, 2013;Rahimi et al, 2013). Same, composite shells explosion tests-related experimental data are available in technical literature (Fedorenko et al, 2005;Batra & Hassan, 2007;Leblanc & Shukla, 2010).…”