Nonlinear Transverse Vibrations of Orthotropic Cylindrical Shells

h,a,l qQ p i,j Nonlinear transverse vibrations of elastic orthotropic shells are investigated using von Karman-Tsien equations generalized to dynamic and orthotropic case. The deflection function is chosen in a simple separable form and the stress function is determined from the compatibility equation. The governing equation for the time function is derived by Galerkin's procedure, and its solution discussed for two types of orthotropy and for the isotropic case. A sharp decrease of the period of nonlinear vibrations with an increasing amplitude is corroborated, the mode pattern influencing the period more than the degree of anisotropy . Parenthetically, the influence of anisotropy on free linear vibrations and on the buckling under normal pressure is discussed.