Nonlinear dynamic response of rotating circular cylindrical shells with precession of vibrating shape—Part II: Approximate analytical solution

In this paper the method of harmonic balance is applied to study the nonlinear dynamic response in forced oscillations of a third-order nonlinear partial differential system obtained in Part I of this study. By using improved mode expansion examined in Part I, attention is concerned on the dynamic response of a rotating circular cylindrical shell with respect to the effect of precession of vibrating shape in the spectral neighborhood of one of the lowest natural frequencies. It can be found that the results obtained with the method developed in this study agree with numerical simulation in Part I very well, which indicate that this method has a good accuracy and is efficient for the dynamic analysis of rotating circular cylindrical shells. The stability of the period solutions is also examined in detail.