In the present study, multi-segment numerical integration technique is applied for the static and dynamic analysis of macroscopically anisotropic shells of revolution including transverse shear deformation. Application of the multi-segment numerical integration technique is achieved through the use of finite exponential Fourier transform of the fundamental shell of revolution equations governing the static loading and free vibration of the shell of revolution. For the non-axisymmetrically loaded shells of revolution, the paper presents the numerical integration based solution process of the transformed shell variables and back transformation to obtain the physical shell variables. As a follow-up study, multi-segment numerical integration technique is extended to the solution of free vibration problem of anisotropic composite shells of revolutionwhich are wound along the semi-geodesic fiber paths counting on the preset friction used during the winding process. Sample results are obtained for truncated conical and spherical shells of revolution for which the winding angle and the thickness vary along the shell axis, and the effect of preset friction on the vibration characteristics of filament wound shells of revolution is particularly analyzed.