Modeling and analysis of dangerous resonance in rotating cylindrical panel reinforced with Ti-SiC

A nonlinear dynamic model is developed for rotating pre-twisted blades, modeled as rotating pre-twisted Ti-SiC fiber reinforced composite cylindrical panel. A refined strain-displacement relationship is established to simplify the expression and enhance the modeling accuracy. Effective material properties can be determined by Mori-Tanaka method and validated by finite element analysis. Then, natural vibration characteristics, including frequencies and mode shapes, are obtained via Chebyshev-Ritz method combined with first-order shear deformation theory. The proposed formulation demonstrates excellent agreement with existing literature and ANSYS simulations. A comprehensive parametric study assesses the sensitivity of blade frequencies to geometric dimensions, mounting conditions, and rotating speed, highlighting phenomena such as frequency veering, mode shape shift. Furthermore, a Campbell diagram is constructed to identify critical resonance conditions. For the dangerous resonance, perturbation analysis is performed by using the method of multiple scales, revealing the nonlinear behaviors of system through amplitude-frequency and force-amplitude response curves.