LAUSR

Abstract The nonlinear vibration behaviors of the rotating hard-coating cylindrical shell under radial harmonic excitations are investigated in this paper. Considering the strain dependences of the storage modulus and loss modulus of the hard coating, the nonlinear equations of motion for the rotating hard-coating cylindrical shell are established based on the Rayleigh-Ritz method. The high-order polynomials are employed to accurately characterize the strain dependences. Moreover, to skillfully introduce the coatings-material nonlinearity into the equations of motion, the domain decomposition method and strain energy density principle are used to determine the equivalent strain of the hard coating. By improving the Newton-Raphson method, the specified iteration algorithm with a good convergence is developed to solve the nonlinear equations of motion for the rotating hard-coating cylindrical shell. A series of comparison studies are performed to validate the proposed model. In addition, the effects of the rotating speed and excitation amplitude on the nonlinear vibration characteristics of the rotating hard-coating cylindrical shell are investigated.