 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13362 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
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| In English (Mech. Solids): | | 5184 |
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| << Previous article | Volume 60, Issue 5 / 2025 | Next article >> |
| Xu Zhao and Peng Li, "Free Vibration of a Rotating Truncated Conical Shell in Effect of Meridional Variable Thickness and Elastic Boundary Conditions," Mech. Solids. 60 (5), 3881-3899 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
5 |
Pages |
3881-3899 |
| DOI |
10.1134/S0025654425602216 |
| Title |
Free Vibration of a Rotating Truncated Conical Shell in Effect of Meridional Variable Thickness and Elastic Boundary Conditions |
| Author(s) |
Xu Zhao (Southwest Jiaotong University, Chengdu, 611756 China)
Peng Li (Southwest Jiaotong University, Chengdu, 611756 China, lp_vib@126.com) |
| Abstract |
This paper aims at the free vibration of a rotating truncated conical shell with meridional
variable thickness and elastic boundary conditions. Based on Donnell’s shell theory, the governing
equations of the truncated conical shell with variable thickness are derived first. Then the artificial
spring technique is used to model the elastic boundary conditions at both edges. Finally, a new solution formula for rotation is proposed. The present theoretical modeling based on the generalized differential quadrature (GDQ) method is validated through comparison with both finite element method
(FEM) and existing studies. This study examines the individual and coupled effects of meridional variable thickness, elastic boundary conditions, and various rotational forces (e.g., Coriolis force, centrifugal force, and initial hoop tension) on the system’s frequency characteristics. The results demonstrate
that the standing wave frequencies of low-wavenumber circumferential modes (LCM) are predominantly influenced by both thickness variations and boundary conditions. In contrast, the frequencies
of high-wavenumber circumferential modes (HCM) are primarily governed by the shell’s average
thickness. Furthermore, the effects of different spring types (e.g., meridional springs, circumferential
springs, transverse springs, and rotational springs) and rotational forces on the frequency characteristics differ significantly. Finally, the slope of the frequencies with respect to the speed is also found to
depend on both thickness variations and boundary conditions. |
| Keywords |
thickness variation, elastic boundary condition, rotation, frequency, circumferential wave number |
| Received |
02 May 2025 | Revised |
05 July 2025 | Accepted |
06 July 2025 |
| Link to Fulltext |
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