Issue |
MATEC Web Conf.
Volume 237, 2018
2018 3rd International Conference on Design, Mechanical and Material Engineering (D2ME 2018)
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Article Number | 01010 | |
Number of page(s) | 5 | |
Section | Chapter 1: Mechanical Engineering | |
DOI | https://doi.org/10.1051/matecconf/201823701010 | |
Published online | 26 November 2018 |
Vibration analysis of rotating rings with complex support stiffnesses
School of Mechanical Engineering, Shandong University, Jinan 250061, China
a Corresponding author: yfc26@163.com
Vibration characteristics of rotating rings with complex support stiffnesses are studied. The complex stiffnesses of the rotating ring include discrete stiffnesses and partially distributed stiffnesses. The governing equations are established by Hamilton’s principle. The governing equations are cast in matrix differential operators and discretized using Galerkin’s method. The eigenvalue problem is dealt with state space matrix and the natural frequencies and vibration modes are obtained. The properties of natural frequencies and vibration modes of rotating rings are studied. The results illustrate that frequency separation and frequency veering happen with the increase of rotation speed. The vibration modes are not dominated by only one nodal diameter while dominated by several nodal diameters because the discrete and partially distributed stiffnesses disrupt the axisymmetry of rotating rings. The influences of several parameters to vibration properties of rotating rings are also investigated.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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