Study on dynamic characteristics of a rotating cylindrical shell with uncertain parameters

This paper developed a super-parametric shell element to establish the rotating cylindrical shell model by employing the finite element method. Considering parameter uncertainties, the dynamic response of the rotating cylindrical shell is carried out. The accuracy of the model is validated by experiment and commercial software ANSYS. The multivariate Chebyshev polynomial interval analysis method is proposed to solve the multi-parameter uncertainty problem of the rotating cylindrical shell. It has enough precision and significant advantages in computational efficiency through comparison with the scanning method. Young's modulus, rotating speed, modal damping coefficient, excitation amplitude, geometric size and coupling stiffness are considered as uncertain parameters. Attention is given to the effects of different uncertain parameters on the dynamic response of the rotating cylindrical shell.