Abstract
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.
Highlights
Vibration properties of rotating rings are investigated by researchers for different structures, for instance, rotors, bearings, gears, etc
The rotating rings are supported by both discrete stiffnesses of mesh pairs and partially distributed stiffnesses of support bearings and these complex supports may cause quite different vibration properties compared to free rotating rings
This means that since the complex support stiffnesses with discrete and partially distributed stiffnesses disrupt the axisymmetry of the rotating ring, the vibration modes are not dominated by only one nodal diameter anymore as free rings does, but dominated by several nodal diameters
Summary
Vibration properties of rotating rings are investigated by researchers for different structures, for instance, rotors, bearings, gears, etc. The rotating rings are supported by both discrete stiffnesses of mesh pairs and partially distributed stiffnesses of support bearings and these complex supports may cause quite different vibration properties compared to free rotating rings. Https://doi.org/10.10 51/matecconf /201823701010 and Parker [11] studied the parametric instability of rotating rings connected to moving discrete springs with time-varying stiffness. Cooley and Parker [12] studied the vibration of high-speed rotating rings coupled to space-fixed stiffnesses. The support mode of bearings has not excited the attention of researchers and there has been no study on the vibration of rotating rings with discrete stiffnesses and partially distributed stiffnesses. The work will mainly focus on vibration properties of rotating rings with complex support stiffnesses
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