Precession response analysis of thin rotating circular cylindrical shell considering geometric nonlinearity.

A cantilever thin rotating circular cylindrical shell is investigated in this paper. The precession factor of vibrating shape is obtained by an energy approach, with damping and geometric nonlinearity considered. Donnell's shallow-shell theory is used, the non-linear equations of motion are discretized by Galerkin method, in which geometric nonlinearity and precession of vibrating shape are taken into account. The non-linear mode equations are studied by using Runge-Kutta method and harmonic balance method, and the stability of analytical solutions is studied. The results show that geometric nonlinearity does not influence the precession factor of vibrating shape but causes multi-value and leap characteristics. [ABSTRACT FROM AUTHOR]