期刊
APPLIED MATHEMATICAL MODELLING
卷 57, 期 -, 页码 603-613出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2017.06.025
关键词
Boundary conditions; Critical speed; Frequency; Haar wavelet method; Rotating conical shell
资金
- National Basic Research Program of China (973 Program) [2015CB057405]
- National Natural Science Foundation of China [11372082, 11572096]
In this study, we present an analysis of the frequency characteristics of rotating truncated conical shells using the Haar wavelet method. Based on the Love first-approximation theory, the governing equations are formulated by considering the effects of centrifugal and Coriolis forces as well as the initial hoop tension due to rotation. The displacement field is expressed as the Haar wavelet series in the axial direction and trigonometric functions in the circumferential direction. By considering the boundary conditions, the eigenvalue equation is obtained to determine the vibration behaviors of rotating conical shells. To validate the current analysis, the results obtained by the proposed method are compared with those reported previously, where the agreement is very good. Finally, we investigate the effects of the geometrical parameters, rotation speed, and boundary conditions on the vibration characteristics of rotating conical shells and the results are presented. (C) 2017 Elsevier Inc. All rights reserved.
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