Journal
ANALYSIS AND MATHEMATICAL PHYSICS
Volume 12, Issue 4, Pages -Publisher
SPRINGER BASEL AG
DOI: 10.1007/s13324-022-00697-3
Keywords
Uncertainty; Dynamic characteristics; Chebyshev polynomial proxy; Cylindrical shell; Rotating
Categories
Funding
- Natural Science Foundation of China [51805076, U1708255, 51775093]
- National Science and Technology Major Project of China [J2019-I-0008-0008]
- Fundamental Research Funds for the Central Universities of China [N2105013]
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This paper developed a super-parametric shell element to establish the rotating cylindrical shell model using the finite element method. Parameter uncertainties were considered in the study of the dynamic response of the rotating cylindrical shell. The accuracy of the model was validated through experiments and commercial software ANSYS. A multivariate Chebyshev polynomial interval analysis method was proposed to solve the multi-parameter uncertainty problem of the rotating cylindrical shell, showing significant advantages in computational efficiency compared to the scanning method. The effects of different uncertain parameters on the dynamic response of the rotating cylindrical shell were studied.
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.
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